diff --git "a/data/dm_maths/full_data_1/1729_11255.jsonl" "b/data/dm_maths/full_data_1/1729_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1729_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u be ((-4)\/7)\/((-4)\/14). Suppose -u*o + 25 = 21. Let q(n) = 2*n**2 - 3*n + 3. Let z be q(o). Put 2, z, -5, -1 in decreasing order.\nAnswer: z, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - 2)\/(245\/(-40) + 6) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2980, -5855, -8730, -11605, -14480?\n\"Answer: -2875*i - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*y = -139*y + 235725. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -20*j**2 + 8. Let z(g) = 7*g**2 - 3. Let b(n) = -3*c(n) - 8*z(n). Let d(o) = -o + 8*o - 12*o + 11*o. What is b(d(l))?\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*n + 6*n + 0*n)*(5*n**2 + 43 - 43 + 26*n**2).\nAnswer: 1240*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 7*v**2 - 4*v - 8. Let q be r(-7). Differentiate 21*p + 80*p**4 + 102 - p - q*p with respect to p.\nAnswer: 320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277524 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 - 4*w + 1. Let p(i) = -15*i**2 - 21*i + 5. Give -11*a(q) + 2*p(q).\nAnswer: 3*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**2 - 1\/60*m**5 + 0*m + 0*m**3 + 0 + 0*m**4. Let j(g) = -2*g**2. Calculate u(j(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 15. Let p be 4 + 1 - 2\/1. Let s(r) = -r**3 + 4*r**2. Let q be s(4). Solve -3*l - p*d + 15 = q, 4*l - 10 = 2*l - g*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 7*y**2 + 6*y + 4. Let h be f(-6). Suppose 164 = 4*d + 4*s, -2*s = h*d + d - 205. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5 = 4*c - 1, 2*c + 16 = -5*q. Sort 7, 0, c, 1.\nAnswer: c, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165052499 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1157*t**2 + 12561*t - 12561*t - 372*t**2)*(0*t**2 - t**2 + 3*t**2).\nAnswer: -3058*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 3*x - 9*x + (0 + 0 + 2*x)*(0 + 1 + 0) + 0*x - 4*x + 3*x - 2 + 2 + x + x + 5*x + x + (-6*x + 2*x + x)*(3 - 6 + 4).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is aa17 (base 15) in base 7?\nAnswer: 210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4 - 4392*i**3 + 4818022*i**2 + 9649224*i + 4826809 = 0.\nAnswer: -1, 2197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57c21 (base 13) to base 7.\nAnswer: 1235112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002011049353 rounded to 6 decimal places?\nAnswer: -0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 6*h - 6. Let j be o(4). Suppose -4*s = -4*i - 204, 0 = 4*s + j - 14. Is (2 - 3)\/(-1) - i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-123)\/6)\/((-8)\/16) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43105 + 43105.139533. Let k = d + -0.139. Round k to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84775985, -169551976, -254327967?\nAnswer: -339103958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3656 by -1828.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-2 - -3) - -18. Suppose 3*p - 6*p = -x. Suppose 0 = -5*y + f + 26, -p*f + 2 = y - 2*f. Calculate the smallest common multiple of 8 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j**2 - 2 + 4*j**3 - 5*j**2 + 0*j**2 as f*j + s*j**3 + d + h*j**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1994*j**2 - 2391*j + 1. Determine b(-1).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/((-3)\/88). Let r = 73 - j. Let q(i) = 5*i**2 - 33*i + 163. Let p be q(6). Calculate the highest common factor of p and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -103, -153, -217, -301, -411, -553, -733?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 1. Let f(g) = 7*g**4 + 20*g**3 - 28*g + 7. Let j(p) = 3*d(p) + f(p). Determine z, given that j(z) = 0.\nAnswer: -2, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -a + 22, -3*z + 4*a - 7 + 4 = 0. Let n = 1867 + -1866.94. What is the second biggest value in z, n, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 8*d + 72 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*b, -2*k - k = -b + 83. Let w = -3 - k. Suppose -3*p - 3*j - j + 46 = 0, -p - 4*j = -w. What is the remainder when 17 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1744 = 4*f, -4*p + 13*f + 6948 = 15*f. What is the greatest common factor of p and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:31 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(20*(-144)\/(-12480))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 368600807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 31*w - 32. Let n be l(-32). Suppose -12*b + 79 - 7 = n. Solve d + d + 8 = -5*u, -3*u = b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/31, -3, 3\/2, -2, 26?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1611 = -150*k + 831 + 858 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. Suppose 0 = 5*b - b - 8. Let d be (-1)\/b*(-8)\/2. Let k(g) = 0 + 2 + 3*g**2 - d. Determine k(x(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -204*m - 97*m + 25*m + 87*m in the form i + n*m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 7*x**5\/24 + 13*x**3\/3 + 219*x**2. Let o(f) be the first derivative of l(f). Let i(r) = 2*r. Determine o(i(j)).\nAnswer: 70*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2763\/117 - 25) + 5267\/3588?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (23 + -23 + 9 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5\/7 (b) -2 (c) -3 (d) -0.03 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8208)*-3 - sqrt(8208))\/(1*sqrt(12)) + -1)**2.\nAnswer: 48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/176 and -99\/28?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 0.01336.\nAnswer: -0.38664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 4. Let v(n) = 28*n**2 + 35. Let i(z) = z**3 - 13*z**2 - 16*z - 7. Let a be i(14). Let w(g) = a*u(g) + 4*v(g). Let k(r) = 2*r. Give w(k(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158 + -103.64. Round y to the nearest integer.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 - 86. Calculate the least common multiple of 18 and s.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*r + 4*b, -b + 6 = -4*b. Let v be 3*4*r\/12. Does 14 divide (-66)\/(-8)*132\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -785447 minus -376441?\nAnswer: -409006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + -7 - 1*-85. Let y be -2 + 0 - h\/460. Let x = -13\/23 + y. Calculate the common denominator of x and 83\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-585*n**4 + 85*n**4 + 2977*n**4)*(-1 + 4 - 1) to k*n**4 + t*n**3 + s + d*n + w*n**2 and give k.\nAnswer: 4954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1254)\/(-76)*1*2*6*(-2)\/12?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 8*w**4 - w**3\/3 + 111. Determine g(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53053\/(-4342767)*-3*2\/7?\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/((-3)\/12*-1). Let w = 0 - -4. Let d be -2 - t\/(w\/(-34)). Solve -4*y + 3*a - d = 0, -y + 4*a - 8 = -a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 14 + 5 = 0. What is the remainder when 37 is divided by (g\/(-6))\/((-3)\/78)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3111 + -3121 - (-66 + -1).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 912\/13 - 70. Let n = 4 + -5. Let h be (2\/(-6))\/(n\/3). Is r greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -419, -700, -981, -1262, -1543?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -10 + o - 2*o**2 + 1\/3*o**3. Determine w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -4, 10\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 45040. Let v(s) = -2*s. Determine f(v(c)).\nAnswer: -4*c - 45040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 22 = 18. Let w be ((-30)\/25)\/((-3)\/l). Suppose -4*d + 20 = -2*v, w*v + 2 = 3*d - 8. What is the greatest common factor of d and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k + 5*g - 30, 0 = 4*k + 5*g + 10. Let f(l) = -l - 1. Let s(n) = 26*n + 9. Let b(c) = -6*f(c) - s(c). Is b(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -487*b + 1139*b - 4*b**2 + 2243*b + b**2.\nAnswer: -3*b*(b - 965)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -14. Suppose 0 = 5*o + 4*b - p, 3*o + 12 = o + 4*b. Solve 0*n + 4*n - 5*w + 25 = o, 0 = -3*n - 4*w + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*g - 33*g + 200. Suppose g*f - 30*f = -4800. Is f a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9281930351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(125) - (-1 + sqrt(125))*5 - 3*(sqrt(125) + 0 - sqrt(125)))*-2 + 1)**2.\nAnswer: -880*sqrt(5) + 8121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4720.1 less than -19923?\nAnswer: -15202.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 - ((-2193)\/6 + 5\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4380*j**3 + 2*j**2 - 549*j - 1 wrt j?\nAnswer: -26280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.15, 1\/6, 16?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7505 + 5c2?\nAnswer: 7ac7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.8 (b) -6 (c) 0.04 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:02 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/60 + 5*r**4\/6 - r**3 + 11*r**2. What is the units digit of a(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -2 - (80\/(-5))\/4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 952 in -0.4, -2\/15, 0.4, -4, 213, 3?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-508)\/(-6) - 24\/36?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*(sqrt(80) - -2*sqrt(80)) + (sqrt(80)*-2 + sqrt(80))*-5 - (sqrt(50)\/(-4*-2*sqrt(10)) + 4)) + -3)**2.\nAnswer: 2451*sqrt(5) + 84649\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f = 5. Let b be 2\/1 + f + 3. Solve -b = x - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (167 - 165)*(-24)\/(-20)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 122*z**2 - 2*z + 1. Let h be ((-5)\/(-20))\/((-3)\/12) + 2. Let p be c(h). Suppose w + 27 = f + 3*w, 4*f - 5*w = p. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1. Let u(n) = n**3 - 18*n**2 + 33*n - 14. Let v be u(16). Let h(p) = p - 7. Determine v*w(d) - h(d).\nAnswer: -d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y**2 - 2*y + 2. Suppose 0 = 2*x - 5*x - 4*v + 7, -4*v + 6 = 2*x. Let k be g(x). Let r(j) = -8*j + 4. Is r(k) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*d + 7 = 242*d + 4*n, -2*n = -5*d - 31. Let i(l) = 18*l**3 - 8*l**2 + 8. Let g(p) = 12*p**3 - 5*p**2 + 5. What is d*i(o) + 8*g(o)?\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52730, 52738, 52752, 52772, 52798, 52830, 52868?\nAnswer: 52912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 498 = b. Let t = 89 + b. Suppose -10*a + 36 = -t*a. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 288*g**3 + 36*g**2. Let y(x) = -41*x**3 - 5*x**2. Give 5*q(n) + 36*y(n).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-1\/2)))**(-4\/27)*((p\/(p\/p**(-10)))\/p)\/p**(-2\/15))**(-2\/19) assuming p is positive.\nAnswer: p**(2914\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 - 84*q**2 - 84*q - 3599. Give t(-42).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*b*w**3 + 123*b - w**3 - w wrt w?\nAnswer: -21*b*w**2 - 3*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from clvvlcall?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30504.\nAnswer: 2, 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -3515.9.\nAnswer: 7031.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**(2\/7)*w*w*w)\/w)\/w)\/w)\/w*w**7*w\/(w\/(w\/w**1))*w**(2\/11))\/(w**(2\/13)*w*w\/(w\/w**(3\/5)*w))**(-1\/37) assuming w is positive.\nAnswer: w**(1201463\/185185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 8*x - 18. Give w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 9*a = -7*a - 1, -17*r = -18*r + a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-309)\/27)\/((-5702)\/(-51318))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(171\/6)*693\/22.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -133, -200, -267, -334?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7088*y - 2 + 7*y**2 + 3539*y + 3552*y - 16 in the form c + g*y + o*y**2 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18\/(-4))\/((-120)\/27280)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.776\nAnswer: 0.1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**5 + 5*k**4\/2 - 17. Factor h(m).\nAnswer: 5*m**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4141480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -145368624 or -145368625?\nAnswer: -145368624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 34500 + 37052. Suppose -15*o - o + r = 0. Round o to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:18 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (587 - (-20 - -12))*4\/50. Which is the third biggest value? (a) -3\/2 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.07 - -0.07. Let t = q + 5. Let p = -100.7 - -101. Which is the smallest value? (a) -5 (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/1161 at most 1.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0.04352, 3.8, 1\/7, -2, 4 in descending order.\nAnswer: 4, 3.8, 1\/7, 0.04352, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 2)*-1)**2*-3.\nAnswer: -27 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 258. Let g = -16 + q. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/5 - (-55)\/(220\/(-24)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1829 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 25*f**2 - 56*f - 4. What is k(27)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976006?\nAnswer: 2, 488003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, x: 2, k: 1, m: 1, a: 1}. What is prob of sequence ann?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 7*g + 3*j + 19, 5*g + j + 63 = -j for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -3*m**3 + 2. Let k(a) = -3*a - 2*a + 4*a + 3*a. Give t(k(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - 1.07. Let x = -13 + 8. Which is the third smallest value? (a) -1\/6 (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1458) - sqrt(1458))\/(sqrt(729)*-4).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 20. Let x be w(8). Which is the fourth smallest value? (a) x (b) 1 (c) -192\/7 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8284, 8283, 8282?\nAnswer: 8281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 7, -83 in descending order.\nAnswer: 7, 4, 1, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.2, -7, -2\/23 in decreasing order.\nAnswer: 4.2, -2\/23, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 1. Let z(t) = -4*t + 1. What is g(z(q))?\nAnswer: 32*q**2 - 16*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2 - 5 + 2 - 6 - n. Let q be z(-4). Let b = -6 - -11. What is the smallest value in q, b, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559724717 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15450419597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -7. Put f, -1, 2 in decreasing order.\nAnswer: 2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 13 - 29. Let o(f) be the third derivative of f**5\/30 + 4*f**2. What is the tens digit of o(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -399635.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g = 23*g + 50. Suppose 0 = g*m - 8*m. Suppose 10*f - 21*f + 330 = m. Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 21*m - 17. Let r(z) = -16*z - 11. Let o(w) = -17*w - 22. Let p(s) = 2*o(s) - 3*r(s). What is 5*n(h) - 8*p(h)?\nAnswer: -7*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 319456.907 - 319620. Let j = r + 163. Round j to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(1*sqrt(8)))\/(sqrt(324)*-1) - ((sqrt(2) - sqrt(6)\/sqrt(3)*-1)**2 - (sqrt(2) + 2 + 3)).\nAnswer: -3 + 8*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*(sqrt(1408)*3 - sqrt(1408)) + sqrt(1408)))\/(sqrt(14)\/(sqrt(35)\/sqrt(5)) - (sqrt(2) + sqrt(50)*-1))*-2.\nAnswer: 432*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/14633061 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 5*u + 4. Let t be o(3). Let l(z) = 3*z**2 - 4. Is l(t) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 802*k**4 + 2*k**3 - 8*k**2 - 406098 wrt k.\nAnswer: 3208*k**3 + 6*k**2 - 16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:48 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.031078 and -0.3?\nAnswer: -0.0093234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-24)\/5)\/((-40)\/(-150) - 4\/24)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12271491 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: -4 times -140102.01\nAnswer: 560408.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.331369 + -0.11068.\nAnswer: -1.442049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 7) to base 12.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 20*g - 77. Let a be x(3). What are the prime factors of a\/(-3) + 7\/(84\/4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 249605*h + 6240156. Calculate v(-25).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.3 + -30.05. Let i = -0.25 + z. Let y = -3\/85 + 4\/17. What is the closest to i in -2, y, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Suppose w = 3*q - 6*q + 4, 0 = -5*w - 10. Let d be o(q). What is the greatest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-60)\/432 - (6\/(-27) + 6697\/6660).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - -56. What is the second smallest value in l, -0.4, 3\/5, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97244 = -95*l - 96864. Let c(k) = -5*k**2 - 4*k + 1. Let d(t) = -1 + 2*t - t + 0*t + t**2. Determine l*d(i) + c(i).\nAnswer: -i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/3*6\/4. Let s(y) = 8 + 3*y - 6*y - 11. List the prime factors of s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120001021 + 1000?\nAnswer: 120002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < -1522\/223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-55))\/(-1*2\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1988 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -11*o**5\/5 - 11*o**4\/3 - 33*o. Find the third derivative of b(u) wrt u.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3379136939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 4:41 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 2*x - 5. Calculate i(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*v**3 + 3 - 39*v**3 + 2*v**2 - 25*v**3 to the form l*v + n*v**2 + d*v**3 + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 + 91*26\/91 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*i - i - 11, -5*i - 15 = g. Let y = -0.06 + 1.06. Which is the nearest to 0.1? (a) g (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = 4*i, -3*i - 6*m + 2*m + 22 = 0. Suppose i*s = -s + 12. Suppose 2*h - 1 - 21 = 4*x, s*h = -x + 26. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 522 in decreasing order.\nAnswer: 522, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7857.688 litres to millilitres.\nAnswer: 7857688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2333.634 millimeters?\nAnswer: 2.333634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddggdgdddddddd. Give prob of picking 3 d.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-45) + (-38577)\/(-495). Let i(q) = -76*q + 246*q - 73*q - v*q. Let f(h) = 14*h**2. Give f(i(o)).\nAnswer: 5054*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(108)\/sqrt(6)*-2)\/((sqrt(5082)*2)\/sqrt(7)).\nAnswer: -2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5508 + -5518.029. Let y = -33 - -23. Let f = y - q. Round f to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v*v**(-4))\/v)\/v)\/(v\/(v\/(v**6*v)))*(v\/v**(-1\/3))\/(v\/v**(1\/6)*v))\/(((v*v**(-1\/4))\/v**(-7))\/(v**1)**(2\/49)) assuming v is positive.\nAnswer: v**(-3765\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.013, -0.7, -1\/27, 1.1, -4.\nAnswer: -4, -0.7, -1\/27, 0.013, 1.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013478115 to seven dps.\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 782942906 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: Find the second derivative of 4*a**4 - 2*a**2 - 5*a - 32.\nAnswer: 48*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4662 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4013?\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*l + 12 = -7*q, -q - 2 = 2*l. Suppose -3*u + 6 = -6. Suppose u*a = -a + 10. Put a, q, -2 in ascending order.\nAnswer: q, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -153*a - 156*a - 2*a**2 + 10*a**2 + 309*a. Let t(h) = -86*h - 1. What is p(t(k))?\nAnswer: 59168*k**2 + 1376*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 418 - 667 + 406)*(-4 - 3 + 5) in the form h*p + g and give g.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -944 + 959. What is the remainder when 1288 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99 or -109?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227969599.\nAnswer: 11, 13, 47, 107, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaiaadaaaaaaaxoooa. What is prob of picking 1 i, 2 o, and 1 d?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 858 (b) 0.07 (c) 1\/8 (d) -7.9 (e) -1\/6 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 4:02 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38.3 + -38.4163. Let l = o + 0.094. Round l to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 - 137. Which is the closest to -0.1? (a) 0.4 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgw when three letters picked without replacement from gglgllllggwgw?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*-3*sqrt(7) - -3*sqrt(14)\/sqrt(98).\nAnswer: -123*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 233464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064413 to 5 dps.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3819907 decades?\nAnswer: 3.819907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 12*o**2 - 3*o + 20. Let h be v(-6). Suppose -2*c - 3*p = p - 52, 0 = 3*c - 2*p - h. Calculate the highest common divisor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1428 - 726. Is 39 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28757, 114883, 258131, 458261, 715033, 1028207, 1397543?\nAnswer: 1822801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 751 (base 10) in base 16?\nAnswer: 2ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 734 (base 12) to base 9\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d - d + (-1 + 1 + 1)*(d + 4*d - 3*d))*(-3 - 35*d + 3)*(-2 + 0 + 4).\nAnswer: -280*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**8\/1344 + x**7\/280 - x**5\/60 - 9*x**2. Solve f(v) = 0 for v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -10010001001011010111111?\nAnswer: 10010001001011011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*((-74)\/4 - (-16 - -20)). Calculate the highest common divisor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10935 - -10934.95. Which is the second biggest value? (a) s (b) -5 (c) -0.744\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 h when three letters picked without replacement from {e: 1, h: 2, l: 10, m: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**6\/16 - 9*x**5\/20 - 21*x**4\/32 - 244. Factor i(p).\nAnswer: 3*p**3*(p - 7)*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 8. Let s(i) = 3*i - 31. Let w(x) = -9*l(x) - 2*s(x). Let h be w(6). Solve 2*v - 7 = 3*d + 5, -h = -5*v + 2*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295 - -298. Let l(x) = x**3 - 4*x - x**2 + 0*x**t - 2*x**3 - 2 + 6*x**2 + x**2. Determine l(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*s + 156*s + 141*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 - 4.8899348483?\nAnswer: 117.1100651517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*d + v - 73, 2*v = 4*d + 76. Let a be (2*-1)\/(1\/(-2)). Put d, 1\/8, -0.1, a in descending order.\nAnswer: a, 1\/8, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6487 is divided by 2966?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/6, 1\/38580, 0?\nAnswer: 1\/38580","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/3150 and 101\/126.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3000)\/(-50))\/(-10*5\/(-25))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7611, 14952, 22287, 29616, 36939, 44256?\n\"Answer: -3*b**2 + 7350*b + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -4*w - 5*j, -3*j = 5*w + 347849 - 347778 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -121112?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 317221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4044.465 centuries?\nAnswer: 40444.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 6:13 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.6. Let s = -110 + 110.53. Let h = a + s. Which is smaller: 0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 e when three letters picked without replacement from aweaewmoeemo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2341 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 9*t**2 + 5*t + 23. Let f be ((-16)\/(-3))\/((-14)\/(-21)). Let s be n(f). Do s and -18\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -825 - -832. Put 0.05, n, 2\/9 in decreasing order.\nAnswer: n, 2\/9, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*l + 4965, -5*l + 8*l - 4*w = 7458. Calculate the greatest common divisor of 30 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 16*v = -7*v + 898731. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 142*c - 145*c - 2 = 0, -5*d - 24 = 2*c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 + 2*q**3 - 4*q**3 + (-2 - q**2 + 2)*(3*q - 5 + 5) + 2 + q**3 - 2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 9:02 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -817d?\nAnswer: 817a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (3 - 1) - 0. Suppose -5*c = 3*s + s - 304, 3*c + t*s = 183. Let a = 133 - c. List the prime factors of a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20210011 (base 3) in base 4?\nAnswer: -1031101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*u**3 - 10*u**2 - 15*u**2 + 11315*u + 2 - 11317*u as p*u**2 + b*u + i*u**3 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 6*l = -114. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.788389244788 - -0.62\nAnswer: 3.408389244788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14430435 divided by -2886087.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 - 2445410*m**2\/7 + 4890826*m\/7 - 2445414\/7.\nAnswer: -2*(m - 1)**2*(m + 1222707)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h + 5*f - 5, 5*h - 4*f = -9. Let v be (-1*2 + 7)*(h - -4). Sort 2, -20, v.\nAnswer: -20, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - 0.18?\nAnswer: -49.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-20)*(-20)\/(-24).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 311 = 299 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 62 - 78 = -4*v, -n - 2*v + 28 = 0. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3956*d**2 + 795538*d - 795538*d)*((-4*d + 2*d + 0*d)*(-5*d + 4*d - d) - 1 + 1 + d**2) to h + n*d**2 + a*d**3 + j*d**4 + f*d and give j.\nAnswer: -19780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 193*g**2 + 11967*g + 74. Let p be i(-62). Determine j, given that 18*j + 3\/2*j**4 - 15\/2*j**3 - p*j**2 + 0 = 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c**2 + 49 - 14 - 32 + (0*c + 0*c + c)*(6*c - 3*c - c).\nAnswer: 10*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131262?\nAnswer: 2, 3, 131, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, q: 1, z: 1, m: 11}. Give prob of sequence mz.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 17*c = -3*c + 589. Calculate the remainder when (6 + -1)*(-1 + 38) is divided by c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*z**4 + 2*z**4 - 2 - z**4 + 0 wrt z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -21*t**2 + 3*t + 86. Let u(q) = -21*q**2 + 2*q + 58. Give -3*u(z) + 2*w(z).\nAnswer: 21*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 12*w + 38. Let d = 47 - 61. Let x be (d + 12)\/((-2)\/(-10)). What is the remainder when 160 is divided by k(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1117.7723874 less than 0.2?\nAnswer: 1117.9723874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -87 + 0?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*d**5*l*n + 14*d**3*n - 3*d**2*l*n + 3*d*l*n - 10*d*l - 2*d*n wrt d.\nAnswer: -160*d**3*l*n + 84*d*n - 6*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1685?\nAnswer: -168.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 6*b + 8 + 0*b - 2*b.\nAnswer: -6*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1330)\/(-14)*(110\/110)\/((-3)\/(-18)*-5)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*k - k**2 - k**4 + 2 + 163*k - k**3 to m*k + q*k**3 + r*k**4 + o*k**2 + f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1*d*d**(-1))\/((d\/((d\/(d*d*d**(-4)*d))\/d)*d)\/(d*d\/(d*d\/((d*(((d\/d**(3\/5))\/d)\/d)\/d)\/d)))) assuming d is positive.\nAnswer: d**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l + 103*l**3 - 100*l**3 - 11*l.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 26. Solve 1\/2*u**3 + 5\/2*u**5 + 0 + u**2 + c*u - 4*u**4 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 12*o + 11. Suppose 3*x + 45 = 12. Calculate l(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let z be (-1 + 3)*(202\/4 - 1). Let p(l) = z*l**2 - 179*l**2 + 90*l**2. Determine v(p(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 6. Let z be m(-6). Let x = -88\/13 + 486\/91. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 66 = 118. Is 2*(k + (5 - 9)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*t = -107634 + 75408 for t.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2808 + 3983. List the prime factors of v.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 11*m + 6 = 0. Suppose -4*i = -4*g - 52 - 48, 0 = -m*i + g + 77. Let w = 49\/2 - i. Which is the closest to 2? (a) w (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + r**2 - 3*r - 2. Let x(y) = -y**3 + 3*y + 1. Let j(t) = -5*i(t) - 6*x(t). Calculate the lowest common multiple of j(6) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 6. Determine l, given that 36*l**5 - 48*l**2 - 16*l + 2*l**c + 48*l**4 + 4*l**3 - 26*l**3 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017162 to 4 decimal places.\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/(-2080))\/(15\/300*-8)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 12*r**2 - r**3 - 13*r**2 + 21*r**2 - 3 + 4 + 17*r**2 - 10*r**2. Suppose 3*b - 2*v - 2*v = 9, -b + 3 = 4*v. Give s(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22668, 89785, 201664, 358311, 559732, 805933?\n\"Answer: o**3 + 22375*o**2 - 15*o + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 53 (b) 2\/9 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 23*q + 24. Determine f(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.063, -4, -5, 6\/5 in decreasing order.\nAnswer: 6\/5, 0.063, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1969 (base 10) to base 3.\nAnswer: 2200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 1 + 25*h**2 + h + 9*h**2 - h. Is q(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 0 + 17\/6*l**6 - 13*l**5 + 24*l + 45\/2*l**2 - 35*l**3 - 5\/21*l**7 + 175\/6*l**4. Suppose a(h) = 0. Calculate h.\nAnswer: 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215507 is divided by 1165.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133*k**4 - 4*k**3 + 3*k**2 + 2*k - 11500065 with respect to k.\nAnswer: -532*k**3 - 12*k**2 + 6*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51, -15, 21, 57?\n\"Answer: 36*s - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (2\/7)\/((-13)\/(-546)). Solve 4 = -h - 2*r, 0 = 4*h + r - 18 + m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i + 2*i - 3*i)*(-4 - 1 + 3) - i + 0 + 0 + 0*i + 4*i - 3*i)*(-17235*i - 66 + 8*i**2 - 8 + 17236*i).\nAnswer: 16*i**3 + 2*i**2 - 148*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 35*x**3 + 1. Let h = -1 + 2. Let f be c(h). Suppose -f = -5*r + 2*r. Calculate the smallest common multiple of r and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 27*p - 57. Calculate the remainder when l(8) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 - 4*s**2 + 4*s**2 + 0*s**2. Let d(j) = -j. Determine d(f(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 128, -3, -85, 2 in descending order.\nAnswer: 128, 2, -3, -14, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 2160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245728988\/195 + -1260146. Let l = -10\/39 + d. Determine r so that 2*r - 2\/5*r**2 - l = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 - -415. Let m = v + -346.00018. What is m rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-8)\/(-84))\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*t - 5*q - 10, 6 = 3*t - 3*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -20745?\nAnswer: 20736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43908.52ng?\nAnswer: 0.00004390852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, p: 2, c: 4}. Give prob of picking 1 p and 3 s.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 45596 = 9*d + 78075. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 364 in -1359, 20, -0.4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.2 (b) 3\/2 (c) -318\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2864 and 286432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*2 - (-63)\/(819\/130)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 2, -1, -0.5, -2\/563?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 3:17 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 129.04, 2\/9 in descending order.\nAnswer: 129.04, 2\/9, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1422627332102 - 5.58\nAnswer: -1422627332107.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5508 and 75276?\nAnswer: 225828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 174 (b) -0.6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = -5230 + 5284. Solve 12*p = 10*p + o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by -160.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/3 - 3*x**4\/8 + 37*x**2 + 1. What is the second derivative of b(m) wrt m?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 362, 10, 3 in increasing order.\nAnswer: -2, 3, 5, 10, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2560) + (sqrt(2560) + (sqrt(2560) - 1*-2*sqrt(2560)) - sqrt(2560)) + sqrt(2560))\/(sqrt(64)\/(2*2*sqrt(8) + sqrt(8))).\nAnswer: 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3*333\/(-222). Are 12\/2707 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -2\/153, 0.4, 1\/11?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143 + -142.5. Let z = -2 - -3. What is the second biggest value in z, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1570 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148598?\nAnswer: 2, 191, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 35*i**2. Let z(y) = 8998*y**2 - 22*y. Give z(t(p)).\nAnswer: 11022550*p**4 - 770*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**8\/14 + a**4\/4 + 2*a + 3. Let j(x) be the first derivative of p(x). Find the third derivative of j(q) wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.4, -0.5, -0.4 in increasing order.\nAnswer: -0.5, -0.4, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.9 * 1096094.\nAnswer: -3178672.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0) + 2\/(-4). Let x = 2.81 + -141.81. Let b = 133 + x. Put f, -5, b in descending order.\nAnswer: f, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let p(f) = f. Let k be p(-4). Let n be v(k). Solve -h + 4 = -3*o, 0*o - 2*o = n*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 208769*g**2 - 1 - 119259*g**2.\nAnswer: 89510*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 3730*r\/3 - 4555896.\nAnswer: 2*(r - 3708)*(r + 1843)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2. Let c(i) be the second derivative of 0*i**2 + 0 + 0*i**3 + 28*i - 1\/6*i**4. Calculate c(x(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -7 - -4 - (3 + 0 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1235135571*v + 404516025 wrt v.\nAnswer: 1235135571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 102c (base 15) to base 9\nAnswer: 4616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-7 + (-10 - -10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*h**3 - 25*h + 3?\nAnswer: -624*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f + 1. Give g(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -10*m**4 - 2*m**3 - 21*m + 2. Let i(k) = 11*k**4 + 3*k**3 + 21*k - 3. Let w(a) = -2*i(a) - 3*r(a). Find the second derivative of w(z) wrt z.\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 818009 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/5)\/(2\/5). Suppose 5 = u*b + b. Suppose -2*m + 6 = m, 3*g = -3*m + 12. Solve 7 = -g*n + b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z**2 + 2*z. Let d(u) = 13*u**2 + 3*u. Let t(y) = -3*b(y) + 2*d(y). Let q(v) = 37*v. Calculate q(t(n)).\nAnswer: -481*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46.165 + 46. Let q = g + 0.065. Suppose -v = -6*v - 5. Which is the closest to q? (a) 2\/5 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 27*p**2 + 186*p - 10. What is m(13)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k + 1. Let r(x) = x**2 - x + 4. Let t(o) = 2*f(o) + r(o). Let h be t(0). Let n(y) = h*y - 6*y - 2*y**2. Let l(g) = -g**2. Determine l(n(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 624, 539, 398, 201?\n\"Answer: -28*m**2 - m + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7977?\nAnswer: 3, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (12 + -3 + -5 - 11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245)*-2 + -1)*-5 - (sqrt(245) - -6*(sqrt(245) + 1*sqrt(245)) - (5*(sqrt(245) + 1) + sqrt(245)))) + 5 + 3)**2.\nAnswer: 756*sqrt(5) + 2529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1031 - 715. List the prime factors of s.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25460\/(-804))\/((-51)\/18 + 2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -7. Let y = p - -1. Suppose 4*j = -3*d + 10, 0 = 5*j - 3*d + 1. What is the remainder when y is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-3)\/8 + (-99)\/(-88)). Solve 0 = 6*x + 2 + g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51749\/18 - -2873. Let g be (3\/(-2))\/(10\/(-6998)). Let z = g + -1048. Calculate the common denominator of z and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2 + 3*r + 3. Let p(c) = 4*c**2 - 4*c - 2. Determine -2*j(l) - 3*p(l).\nAnswer: -2*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**5\/12 + 30*b**2. Let n(q) = -5*q. Determine n(f(x)).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.862 - -0.144439.\nAnswer: 55.006439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*q = -5*j - 14, -8 = -4*q - 4*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32 - -1f?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22950\/76472 + 5\/(-20). Let j = -3\/121 + p. Are 1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 5*n + 1. Let v be f(4). Suppose 0 = -k - 2*b - 3*b, -5*b = -v*k. Suppose -4*m + 43322 - 119322 = k. What is m rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 4. Let h be a(0). Find the first derivative of 0 + 3*w**h + 0*w**4 - 13*w**4 + 3 wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16808 + 164041\nAnswer: 164040.83192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3073 + 306. Suppose t - 559 = -5*x + 584, 5*x - z = -3*t. What are the prime factors of t?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98654 and 8774?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*z - 29, 22 = 2*z + 3*z - m. Let t(j) = 0*j + 3*j - z*j. Let h(v) = 2*v**2. What is h(t(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 c when three letters picked without replacement from fcccccnfncccc?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -155*h**2 + 4026 + 24*h**2 - 12*h - 4023. Let k(d) = -2*d - 1. Let i be k(-4). Let l be x(i). What is l rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12320400351 - 0?\nAnswer: 12320400351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7864 or 45558?\nAnswer: -7864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2885.\nAnswer: 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*767\/((-59826)\/36).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45\/(-6)*(-10)\/25. Sort a, 34, 1 in decreasing order.\nAnswer: 34, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1559370602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21743 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2267*i - 2175*i = 0. Solve i = 143*s - 147*s - 24 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17804 - 17804.5. What is the fifth biggest value in -4, f, -14, -3\/7, 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11909\/817 + 557\/38. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-5 - 4) + (-45)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000083409 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20177?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2955013 and 2177378.\nAnswer: 41370182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:42 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*4)\/(sqrt(3) + -1*sqrt(243)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*v + 2 = -0, -5*v = 5*r. Let s(w) = 7*w - 5*w - 2*w - 2*w**r. Let i(g) = 30*g**2. Determine s(i(z)).\nAnswer: -1800*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5016?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 67*l = -59*l + 59 + 85, 0 = -9*c + 12*c - l - 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7226 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/50095577 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.18 - 0.68. Sort -15, -1, w, -0.1 in increasing order.\nAnswer: -15, -1, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {n: 1, h: 7, y: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 568?\nAnswer: 7384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*f - 241, -f - 2*k = -6 - 50. Let g(b) = -b**3 + 13*b**2 - 12*b + 15. Calculate the lowest common multiple of g(12) and f.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -12. Let w = -2 + n. Let j = w + 7.0000072. What is j rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -6. Let t be k\/10 + 42\/30. Are t and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 161410525, 322821049, 484231573, 645642097?\n\"Answer: 161410524*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2. Let k be p(3). Let y be -2 + (-156)\/k + 6\/27. Solve -a - x + 19 = y*x, 0 = 2*a - 3*x + 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/8*-6 + -1. Let l = -5 + r. Suppose -5*m + 4*b - l = 5*b, 5*m - b + 7 = 0. Put m, 5, -3 in descending order.\nAnswer: 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-40))\/((57684\/475)\/(-253)).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022577 is divided by 380.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247 + -244. Suppose 2*a = t*c + 943, 0 = -3*a + 3*c + 489 + 927. What are the prime factors of a?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -11.27875521812.\nAnswer: -11.57875521812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.4 - -1.6. Let h = 6.5 - w. Let p be (4\/4)\/((-3)\/(-9)). Which is the biggest value? (a) -2 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 192100.\nAnswer: 1\/192100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*g - 43, -3*g - 64*m - 65 = 1032. Let o = -5999\/3 - -1978. Let f = o - -21. Is g less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(sqrt(325) + sqrt(325) + -4 + -3*sqrt(325) + (-6*(1 + sqrt(325)))**2).\nAnswer: 1775*sqrt(13) + 58656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25345316?\nAnswer: 2, 19, 333491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 940328062 to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1279870 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 6\/3 + 4. Suppose -3*a - y = -10 - 3, n*a - y - 19 = 0. Calculate the highest common divisor of 20 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtjjjtdpbtdjdtdp. Give prob of sequence djd.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3d (base 14) to base 11\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -125\/4406591 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1929.00891 - 1929. Let w = 0.34879 + u. Round w to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-three eighths of a litre in millilitres?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -0*u. Let q(a) = -4 + 4*a**3 + 927*a**2 - 930*a**2 - 8*a + a**3 - 4*a**3. What is the lowest common multiple of q(5) and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8.3. Let p be 2\/7 + (-25962)\/168. Let s = -155 - p. Which is the nearest to -2? (a) s (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127 - -147. Suppose -2*r = -3*r + 5*y - v, 2*r = 2*y. Solve -5*f = -r*k - 10, -3*f - f - 16 = 4*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 9. Determine n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 1. Let n be l(1). Let z(w) = w + 1 - 3 - n. Suppose -2*y - 35 = -g - 4*g, -2*y - 30 = -4*g. Determine z(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u + 0 - 1\/60*u**6 + 1\/6*u**4 + 9*u**2 + 0*u**3 - 1\/30*u**5. Factor h(t).\nAnswer: -2*t*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5.7. Let t be 1*-2*(-146)\/552. Let n = -2\/69 + t. Which is greater: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, p: 1, c: 1, h: 1, a: 1, k: 2}. Give prob of picking 1 a and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -451a3 (base 12) to base 9.\nAnswer: -148886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000888331 rounded to seven dps?\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0215 - -5.\nAnswer: 4.9785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -47, 2, 10\/9, 0.1, 8\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 689594 = -169394. Suppose -3*i + 20*i = -a. Round i to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 5. Let r be q(7). Is 5 a factor of r\/5 - 228\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.0043 + 0.0563. Let m = -0.052 + y. Which is smaller: m or 0.81?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s = 34*s + 20. Let k(h) = -12*h - s*h + 10*h. Let i(x) = 4*x**2. Let y(c) = -c**2. Let l(t) = i(t) + 2*y(t). Calculate l(k(z)).\nAnswer: 98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(1\/((-15)\/9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3467 - 75 = 16*w. Let p = w + -170. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798.9231t to grams.\nAnswer: 798923100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 40127319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2529 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/7160380 and -13\/230980?\nAnswer: 7160380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 826 in -5, -14\/51, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:10 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-332)\/(-1328))\/((-38)\/8))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2*t = 5*d, 0 = 3*t - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2350 divided by 10?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2 + 0 + 7*z - 3. Let p be a(1). Let m(f) = f**3 + 24*f**2 + f + 36. Let x be m(-24). Calculate the highest common factor of p and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37541*r**2 + 9*r - 108220.\nAnswer: -75082*r + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14332.\nAnswer: 2, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 3:57 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -30*k + 32. Let u be w(1). What is the second derivative of -6*p**2 + u*p - 27*p + p**3 + 0*p - 24*p wrt p?\nAnswer: 6*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12*z**2 - 8*z - 1. What is x(5)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**4\/24 - 1632*q**2. Let g(i) = -1045*i. Determine a(g(v)).\nAnswer: -1045*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -23383806?\nAnswer: 5\/23383806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 210238 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.354534*0.21.\nAnswer: 9.10445214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 38\/(-42))\/((-231)\/(-539)). Let o = 0.96 + -1. What is the nearest to o in 5, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 + 1213. What is the remainder when y is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 11:34 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 69, 129, 189, 249, 309?\n\"Answer: 60*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a factor of 5219108400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxeexxxeeejxeejxe. What is prob of sequence eeej?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j**5 + j**4 - 768*j**3 - 109*j**2 + 92.\nAnswer: 420*j**2 + 24*j - 4608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**6\/60 - d**4\/6 - d**3\/6 + 2*d**2. Let n(y) = -y - 1. Suppose -5*h + 1 = -4*h. Give h*j(m) - 2*n(m).\nAnswer: 2*m**3 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -24.7?\nAnswer: -98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5064)\/5697*((-1215)\/20)\/(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-6.52977041\nAnswer: -6.42977041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from pyypy.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20654869*h**6 - 115072*h**2 - 44*h?\nAnswer: 2478584280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:59 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 25400 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-47))**(1\/61) assuming i is positive.\nAnswer: i**(-47\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 2, j: 2, n: 8}. What is prob of sequence jj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58814, -58691, -58568, -58445?\n\"Answer: 123*n - 58937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137423.\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -424 divided by -212\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 204 (c) -58 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 11:13 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 269047907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2229*3.76.\nAnswer: -8381.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 + 5*a**2 + 2*a - 1. Let w be b(4). Let k be (-3)\/4*2 + (-38)\/(-4). Let f be 129\/12*(16 - k). What is the highest common factor of w and f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694903284 to the power of 1\/3, to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000241595 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -244 smaller than -241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/131 in -1\/6, 1\/4, 0.27, -3.6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from djdddddd?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -674 times 0.32?\nAnswer: -215.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 124 = 5*m - 2*x, -m - x = -23. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -215788 less than -1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4134 divide 55647774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-20) - (0 + (-10744)\/20). Suppose 0 = 4*i - 16, i = 3*w - 1925 + b. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -0.8434?\nAnswer: 0.04217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60908 is divided by 60174?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 12457444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 972, 1932, 2892, 3852, 4812, 5772?\n\"Answer: 960*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5197, -10047, -14897?\n\"Answer: -4850*b - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5192736, 5192749, 5192760, 5192769, 5192776?\n\"Answer: -b**2 + 16*b + 5192721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*c = -537, -o + 116 = 5*c - 133. Suppose o*m = 271*m - 7. Solve 4 = -s + m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 47 = -4*v + 26, 39*v - 42*v + 69 = -f for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(-6\/13))\/y*y*y\/(y\/(y*y**3)))**5 assuming y is positive.\nAnswer: y**(360\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffffffnf?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 151, 334, 589, 916, 1315, 1786?\n\"Answer: 36*i**2 + 3*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17109656 to the nearest integer?\nAnswer: 4136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.11018 - -6\nAnswer: 5.88982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -183 (base 10) to base 6\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/104914116 and 46\/17919.\nAnswer: 1154055276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 - 2*l**2 - 2*l**2)*(4 + 16*l - 10*l - 7*l) to b*l**2 + s + t*l**3 + g*l and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/9156819 and 59\/6.\nAnswer: 18313638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -23*l - 1. Let v(f) be the second derivative of -19*f**3\/6 - f**2\/2 - 155*f. Let r(k) = 6*v(k) - 5*z(k). Calculate r(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47949 - 1548842.2.\nAnswer: -1500893.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -386, -32, 5, -10.\nAnswer: -386, -32, -10, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 4. Let d(n) be the first derivative of n**5\/20 + n**4\/8 + n**3\/3 + 2. Let x(b) be the third derivative of d(b). Calculate x(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/8)\/(2\/8). Let q be (2\/n)\/(5\/10). Solve 0 = x - k - 1, -3*x - 3 = -q*k - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162254200 and 64901680?\nAnswer: 324508400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 12*x + 63. Calculate y(-14).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5778 or 0.022?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274478 is divided by 559.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/5 - 7934*g\/5 + 15876\/5 = 0.\nAnswer: -3969, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**2 + 4*d**2 + 4*d - 56 + 56 in the form i*d + l*d**2 + n and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 507 + -507 - (-3 + -11)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + -72. Which is smaller: -8\/21 or f?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 5*m**2 + 179. Let d = 6 - 4. Let a(y) = -4*y**2 + 5*y**d + 0*y**2. Give f(a(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m. Let h(n) = 8*n. Let p(s) = 7*c(s) - 6*h(s). Let b(o) = -5*o**2. Calculate b(p(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from iubsy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*h - 75*h - 9724 = 95*h for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 - -100. Suppose 3*s = 4*t - 2*t - q, 3*s = -3*t - 9. Solve t*v + 3*v + 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 26. Let d(x) = -j*x - x**3 + 47 - x**2 - 7*x**2 - 38. Calculate d(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -36*m + 20. Let h(w) = -71*w + 39. Let z(y) = -3*h(y) + 5*i(y). Differentiate z(c) with respect to c.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 23*r + 1079. Determine n(-41).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 920, 1642, 2368, 3098, 3832?\nAnswer: 4570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n + 0*n)*(-n**4 + n**4 - 31*n**4).\nAnswer: -62*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 2\/1071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:34 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -3*x + 13 - 2, -12*x = -2*l - 56 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 5*j + 5*j)*(3*j**2 - 3*j**2 + j**3) - 14*j**4 + 564*j**2 - 564*j**2.\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r**2 - 4*r**3 - 4*r**2)*(3235 + 4607 - 3493) to t*r**2 + m + l*r**3 + v*r and give l.\nAnswer: -17396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34624*v + 34624*v - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -753 + 1101. Let i = 355 - p. Calculate the remainder when 67 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 29. Let k be (-4 - -3)\/(i\/(-15)). Suppose -4 = -k*m + 16. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 37\/2 of a day?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*l = -2*m - 4, -4*m = 5*l - 5. Suppose m = 4*o + 3*u + 2*u - 492, 615 = 5*o + 4*u. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/12)\/(5\/6). Suppose 0 = -4*s - 4, 2*a + 7*s - 235 = q*s. Does 30 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -13\/116913?\nAnswer: -13\/116913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167438 less than or equal to 2167436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1114\/143 + -84\/11. Let j = 775 + -772. Which is the smallest value? (a) -1 (b) 2 (c) o (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 7. Let m be l(-10). Let w(j) = -j**2. Let q be w(-1). Is m <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -j - 3*j. Suppose -j*v = -v. Suppose -2*n + 10 + 2 = v. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26 and -0.06?\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6*23 - 546\/(-78). Let y = 164 + -225. What is the nearest to p in -5, y, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1160171194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/167, -2\/5, 2\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, t: 3, l: 3}. Give prob of picking 4 e.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -4 - 76\/(-24). Let w = 0.3 - -0.7. What is the second biggest value in -2\/5, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(35\/2))\/(1\/(-2))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10339, -20677, -31015, -41353, -51691, -62029?\n\"Answer: -10338*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 19 = -40. Suppose 0 = -o*m - 0*m + 140. Suppose b - 3*b = -3*a - 134, -5*a - 200 = -3*b. What is the smallest common multiple of b and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123264129.\nAnswer: 3, 113, 363611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*o - 3*o - o + (-1 + 1 - o)*(0 - 4 + 5) + (2 - 5 + 2)*(2*o - 5*o + 2*o) + 0*o + 2*o + 0*o - 2*o - o + o)*(-2*o**4 - 4*o**3 + 4*o**3).\nAnswer: -64*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 + 119. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*c + 5*b, 3*b - 9 = 4*c - c. Let h(f) = -f**3 + 5*f**2 + 0 + f - 4 + 0 + c. What is the tens digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26481820 and 6080?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*l + 13, -2*s = -4*l + 3*s + 15. Suppose 0 = -4*d - y - 0*y + 35, -5 = -d - 4*y. Calculate the remainder when d is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, -3.678, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.9 + 21.5. Let r = o - 10. Which is the third smallest value? (a) -5 (b) 3\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -15*g - 11*g + 868. Let b(j) be the second derivative of 0 - 1\/12*j**4 - 1\/6*j**3 + 1\/2*j**2 + g*j + 1\/5*j**5. Determine b(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796 a factor of 25382722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 17\/4*l + 3\/8*l**2 = 0.\nAnswer: -6, -16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 7*c**2 - 10*c + 5. Let d be 17 - 11 - 3\/((-6)\/(-8)). Let a be m(d). Put 21, a, 1 in ascending order.\nAnswer: 1, a, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1 + 49\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 532 - 443. Is t less than or equal to 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwqwqqqwwwwwww. What is prob of picking 3 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*(sqrt(204) - (sqrt(204)*-4 + sqrt(204) + sqrt(204))) + sqrt(204) - sqrt(204))*-3)\/((sqrt(60)\/sqrt(5)*4 + sqrt(972)*-2)*3).\nAnswer: 45*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*210\/2)\/((-1077)\/359).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 196954105 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17)\/170)\/(-4*1\/(-50))*-1172. Are 1462 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/9 + 10*y**3 - 96*y**2 - 1144*y\/9 + 640\/3 = 0.\nAnswer: -2, 1, 16, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74447.\nAnswer: 109, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = 4. Suppose -r*d - 5*s - 4 + 14 = 0, 4*d - 22 = s. Let m(f) = f**3 - 5*f**2 - f + 4. Let h be m(5). Sort 1, h, d in increasing order.\nAnswer: h, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqh when three letters picked without replacement from qqhqqqqhhqhqhhhq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12*v**2 + 7*v. Let t be i(3). Suppose -126 + t = c. Suppose 3*w - 11 = -u, -3*w = -3*u - 4*w + 9. Sort u, c, 1 in ascending order.\nAnswer: 1, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 4, e: 1, f: 2}. Give prob of sequence vffe.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 3*s**2 + 2*s**2 + 4*s**2)*(5 + 6 - 6) - 1081*s**3 + 512*s**3 + 522*s**3.\nAnswer: -52*s**3 + 15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**2 - 2*d - 13\/12*d**3 - 1\/20*d**5 + 11\/24*d**4 + 0. Solve s(p) = 0.\nAnswer: 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 12. Let a = -2 - -4. Suppose 3*p - 395 = -a*p. Calculate the remainder when p is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112423153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*g = -167*g - 185*g + 14820 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7\/5 (b) 1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + -4 + (sqrt(80) + -2*sqrt(80))**2 + -1.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1930*p**3 + 42*p**2 - 301467*p?\nAnswer: 11580*p + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g + 45 = 0. List the prime factors of 81\/g + 9\/15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -6, -681301, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 227178221053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*p + 15, -5*s + 8 = -12. Is p at least as big as 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + t + 31 - 32, -16 = 5*y - 2*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/9583990?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -448*u**2 + 12775820*u - 5817468.\nAnswer: -4*(u - 28517)*(112*u - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 2, w: 1, c: 1, s: 3, q: 3}. Give prob of picking 2 c and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4325, -4, 43, 18 in increasing order.\nAnswer: -4325, -4, 18, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -2*j + c + 143, 0 = 4*c - 20. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 1\/4, -20754?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/11 and -1*(-573)\/87 - 5.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.297?\nAnswer: -0.0594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95686 = -2*h - 2*f, 24*h - 19*h - f = 239185. Is 61 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 390 = -90. Let t = y - 33. Let q(d) = d**3 - 13*d**2 + 12*d - 17. Is q(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(125)*4 - sqrt(125))**2 + 4 + 3.\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 8 (b) 62908 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - y**2 + y**2 - 2)*(77*y + 35*y - 22*y).\nAnswer: 180*y**4 - 180*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -5 (c) 1 (d) -2\/2473901 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -15 + (-9 - 5 - -23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(52) - sqrt(13))*3 + 2.\nAnswer: 2 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 3*m**2 - 3*m + 7. Give g(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 7*x + 4. Let k be b(-7). Let w(a) = a**3 - 4*a**2 + 3*a + 4. Let m be w(3). Let o = k - m. Solve 4*y - 3*q - 6 - 2 = o, -2*q = -8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1235\/70 + -18)*-12*(-8)\/80*5\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = -5*z + 12, 2*x + 5*z = 1. Suppose -s = -7*f + x*f - 14, -4*f + 5*s + 83 = 0. What is the remainder when 50 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) 16 (c) -1\/3 (d) 2\/11 (e) 4 (f) 165\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 11*p**4 - 2*p**4 + 25*p**2 - 1 - 25*p - 14 + 25*p**3 - 4*p**4 - 15 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9096 = -46*k - 11028 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 48, 190, 476, 954, 1672, 2678?\nAnswer: 4020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 402\/5. Which is the nearest to -2\/3? (a) 1\/10 (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*sqrt(2904) + sqrt(2904)))\/((sqrt(800) - 1*(sqrt(800)*2 - sqrt(800))) + sqrt(800)) + 5.\nAnswer: -33*sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 22*b + 2. Let y be o(-22). Suppose -7*g = 2*k - 3*g + y, -k - 5*g = 7. Determine i so that -4\/3*i - 16\/9*i**2 + 2*i**4 + 4\/3*i**k - 2\/9 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*s - 21. Suppose -5*g = -g - s*g. What is c in -1\/4*c**2 + 1\/4*c + g = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178784 - (5\/((-50)\/20) + -7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 830343?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -8. Let m = -68 + 74. Calculate the remainder when m is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**6\/120 - a**5\/60 + a**3\/6 + 394*a**2 - 2*a. Let c(o) = 53*o**3 - 6*o**2 + 6. What is -c(g) + 6*z(g)?\nAnswer: -59*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a6 (base 14) in base 11?\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 827*t**3 + 25995*t - 825*t**3 + 522*t**2 + 7269*t - 104544.\nAnswer: 2*(t - 3)*(t + 132)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1459 + -3463. Let g = i + 9099. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - 204 + 732 + g**2 - 357 as k*g + c*g**2 + u and give u.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*j**2*x + 5*b*j*x**3 - 7*b*j*x - b*j + 4*j**4 + 1128*j**2*x**3 + 3*j - 6*x**3 wrt j?\nAnswer: 2*b*x + 48*j**2 + 2256*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5442*a**3*c*r**2 - 3*a**3 + 2*a**2*c**2 + 39*a*c**2*r + 2*a*c*r - 3241*c**2*r**2 + 4*c**2 - 1014*r wrt r?\nAnswer: 10884*a**3*c - 6482*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5141521 rounded to one dp?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2271878.01ms?\nAnswer: 0.026294884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in -2\/13, -10\/49, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -78672?\nAnswer: 78672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4930, -10444, -15958, -21472, -26986, -32500?\n\"Answer: -5514*p + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**2 - 55*m + 44. Let w be j(6). Which is the nearest to 11? (a) 4 (b) w (c) -0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 88478.37 nanometers?\nAnswer: 0.00008847837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8635 - 5037 = -4*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -50293.11?\nAnswer: 653810.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.3 + -15. Which is the smallest value? (a) -0.2 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjrfr. Give prob of picking 1 j and 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*v - 3*n - 12, -2*v - 20 = 5*n. What is the units digit of 5 - -14 - v\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.19620658 rounded to four decimal places?\nAnswer: -2.1962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 304\/25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4578486 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -5, -14, -330, 2, -1.\nAnswer: -330, -14, -5, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 + 36\/(-10))\/(63\/140) and 5\/(-10)*14\/(-17).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**3 + 58*h**2 - 14*h - 24. What is the remainder when b(8) is divided by 151?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 2. Let l be (0 - 2) + 1 + w. Let m(c) = 6*c + 0*c**2 + 2 + 0*c**2 + c**2. Give m(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 15*v + 5. Let l(q) = -5*q - 40. Let r be l(-10). What is the remainder when g(r) is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (2*sqrt(2))**2).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-1)\/(1\/59). Suppose -3*g + b + 216 = 0. Suppose -r = 3*i - 36, -5*i + 50 = -0*r + 5*r. What is the highest common factor of g and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254132323.\nAnswer: 1013, 250871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176785\/8 - 22098. Which is the second biggest value? (a) -3 (b) y (c) -7\/4 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 123830 (b) -0.26 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047 + -6.38?\nAnswer: -6.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 14. Suppose -2*n + 29 = 3*x, 5*n - x = i + 69. Factor 3*k**3 - n*k + 8*k**2 + 2*k**3 - k**3 - 5*k**4 + 3*k**4.\nAnswer: -2*k*(k - 2)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 + 3\/4*u**5 + 3\/4*u - 3\/2*u**4 - 3\/2*u**3 - 3\/2 = 0. Calculate u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -115 + 115 + 3*h - 8*h + 10*h. Let y(c) = -19*c**2 - 1. Calculate f(y(d)).\nAnswer: -95*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 20 = 5*r, 4*o = -2*r - 3*r - 7. What is the thousands digit of 10 - 9 - (r - 0)*-1153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (136\/10 - 0) + 2\/5. Let k = 22 - m. Let j(f) = -f**3 + 8*f**2 + 7*f - 6. Calculate the remainder when j(k) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 102*q - 36*q - 36*q - 36*q in the form f + v*q and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 228 - 200. What is the highest common divisor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + 3.4. Suppose -6*p - 19 = -13. Sort 1, y, p, 0 in descending order.\nAnswer: y, 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 + 5.6. Let c(u) = 2*u + 8. Let m be c(-6). Put v, 2, m in ascending order.\nAnswer: m, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 13, d: 1, w: 2}. What is prob of sequence wwb?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:15 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352414 is divided by 352388?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17695020 is divided by 83467?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1366, -2738, -4102, -5458, -6806, -8146, -9478?\nAnswer: -10802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 51 = -o, -5*o - 25 = -10. Let h be j\/(-63) + (-2)\/3. Let l be 13\/(104\/56) - 8. Which is greater: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*r + 143 = 0, -16*a + 5*r - 214 = -15*a + 151 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 885480 + -664109891\/750. What is the common denominator of -149\/210 and h?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -35*k + 2. Let o be s(-4). Let j = 168 - 94. Suppose 4*d - o = 2*m, -2*d = -0*m + 2*m - j. 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: Solve -15*q = -61 - 44 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 5*d**2 + 8*d - 8. Let s be z(6). Let i be s\/8 + (-1)\/2. Suppose -4*u - 2*c - 4 - 2 = i, -5*c + 15 = 0. Are u and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3293801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 164, 660, 1486, 2642, 4128?\n\"Answer: 165*m**2 + m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -164\/39 less than or equal to 5229.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 84185.75 decades?\nAnswer: 841.8575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2357824 and 3724.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 4 + 14999*a + 1226*a.\nAnswer: 16225*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7*p = 5*t - 25, t = -4*p. Suppose -l - 4*l - 15 = 0. Put 2, -5, l, t in ascending order.\nAnswer: -5, l, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*c**2 + c**3 - 9 - 7*c**2 - 21 + 0*c**3 to y*c**3 + f*c + t*c**2 + h and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1456*x + 27 = -1447*x. Solve 0 = 2*h + 2*s + 6, 0 = -0*h - 2*h + x*s - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, l: 2, o: 1, q: 1, c: 1, m: 2}. What is prob of picking 2 l and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50*s**2 + 215 wrt s?\nAnswer: -100*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = 5*p, 3*y = -p + 3*p + 1. Does -5\/11 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(2*sqrt(2)) + 2*sqrt(11)*-1)**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 270, 469, 742, 1113?\nAnswer: 1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 2*y. Let v(l) = l + 11. Let d be v(8). Let g = d - y. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (5 - -5) + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812 divided by 302?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 - 8*z**2 - 29 + 11 + 21. Let y be w(-4). Put -2, y, 0 in decreasing order.\nAnswer: y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (43*d - 54 + 54)*(3 - 4 + 0)*(0 + 7 - 2) in the form g + b*d and give b.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33944 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -i - 77, -w - i - 2 = 15. Let v be 2\/5 + (-69)\/w. Let z = -85 - -125. Calculate the greatest common factor of z and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txqtnnxnttn. Give prob of sequence xn.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2226 + 2226.2118. Let f = 0.2117097 - v. Round f to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1342*h**2 - 5*h - 4. Let s(r) = -2680*r**2 - 9*r - 7. Determine -7*j(y) + 4*s(y).\nAnswer: -1326*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 271 and 197559.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 8 + 1110\/(-80))\/(-7 + (-156)\/(-24))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5477, 12755, 21833, 32711, 45389, 59867?\nAnswer: 76145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 + 3965*o**3 - 23925*o**2 + 35935*o - 15980.\nAnswer: 5*(o - 4)*(o - 1)**2*(o + 799)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1081 or 936?\nAnswer: 936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 1 + 0*b**4 + 0*b**3 + 4*b + 4\/5*b**5 + 0*b**2. Differentiate z(x) wrt x.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/3 - 40*p**4\/3 - 146*p**3\/3 + 184*p**2\/3 = 0.\nAnswer: -4, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n. Let j(f) = -5*f. Let b(p) be the first derivative of 7*p**2 - 2. Let u(q) = -3*b(q) - 8*j(q). What is u(l(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**4\/4 + 6*w**3 + 13*w**2\/2 - 27*w - 115. What is the units digit of t(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6316*-0.1\nAnswer: -0.06316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29137 divided by -1?\nAnswer: -29137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a**3 - 18*a**3 + 2*a**3.\nAnswer: -30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 13. Let s be o(4). Solve -8 = -s*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -p - p. Let o(t) = -6827 + 3*t + 0*t + 3412 + 3413. Determine o(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135284487*h**3*z + 3*h**2*z + 69*h**2 - 11*h*z + 2*h - 2*z - 8 wrt h.\nAnswer: 811706922*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 20 = -b. What are the prime factors of ((-14)\/b)\/((-2)\/(-10))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4642742399?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 8*t - 8. Let b be -1 - 0 - (6 - 10) - 23. Let r = b - -14. Give u(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0054 and 0.27.\nAnswer: 0.001458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-8) + (-595)\/(-56) - -1. Suppose 5*y + u*y = -136. Let v(d) = d**3 + 8*d**2 - d - 10. What is v(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 15*n**2 - 16*n - 30. Let b be d(-14). Is -6 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -380*a**2 + 941*a**2 - 143*a**2 - 4800*a**3 wrt a.\nAnswer: -28800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 - 191. Let x = 2758\/15 + -184. What is the biggest value in x, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111 - -101111101110?\nAnswer: 101110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4422*c - 3896*c - 5942 + 24352 = 0 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 + 2*h. Let f(l) = -l**3 + 7*l**2 - 2*l + 12. Let r be f(7). Calculate n(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2082038234885 and 129?\nAnswer: 2082038235014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6427929 divided by -3.\nAnswer: 2142643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l + 3. Let y(g) = -8*g + 4. Let c(a) = 3*x(a) - 2*y(a). Determine c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-69)\/4)\/((-1740)\/4640). Solve -w*m = -35*m - 33 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-3 - sqrt(171))*-4)\/(sqrt(576)*3).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v - 12231 = -1827. What is the remainder when v is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187 (base 12) to base 11\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 38, 534, -3, 3, -2 in decreasing order.\nAnswer: 534, 38, 3, -2, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -180*a - 30395. Give k(-177).\nAnswer: 1465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, e: 3, y: 2, t: 9, m: 2}. What is prob of picking 1 m, 1 o, and 1 y?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64146720 by 44.\nAnswer: -1457880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23145.9 and 1.588.\nAnswer: -23144.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 1, f: 1, z: 1, r: 1, l: 1}. What is prob of picking 1 m, 1 d, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -147 and 70079720279.\nAnswer: 70079720132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 2*i + (2 + 3 - 7)*(7*i - 3*i - 3*i) - i + i - i)*(-3*i - 2*i**3 + 3*i).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from rrrrrrrrbrrrrrr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -1\/43611?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyyybbybywbbbibyybi. What is prob of picking 1 y, 1 b, and 1 i?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*q + 70 = 10*v, -2*v + 4*q = -40. What is the least common multiple of v and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -122 and 1037?\nAnswer: -126514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6. Let d = 0.05 + -0.35. Which is the closest to i? (a) d (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.041 - 31.041. Let j = 30.62 + z. Let p = 0.02 - j. Which is the second smallest value? (a) -6 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-862)\/5603*13\/(-24)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3787*j + 3753*j + j**2 + 4 + 5*j**2.\nAnswer: 6*j**2 - 34*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from memmmemipmpelmiom. Give prob of sequence eel.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/1106 + -17971\/553. What is the common denominator of r and 40\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3374*s + 3*s**2 - 3374*s + 5*s**2 - 13 as q*s + z + d*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 43. Let h be 0*(3 - (x + 1)). Solve b + 3 + h = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 4 + sqrt(3) + 2)**2 - ((sqrt(432) + 2)**2 - 2*(sqrt(12)\/sqrt(4) + sqrt(3))).\nAnswer: -37 + 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6563\/6 + 1091. What is the common denominator of -54\/11 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3 - 9. Suppose -10 = -4*o - z*k + k, 0 = -4*o - 2*k + 16. Let r = o - 2. Solve 3*a + 3 = -3*v + 6*v, -r*a - 5*v = -21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 11*b**2 + 3*b + 28. Let a be q(-11). Let l be ((-90160)\/4)\/a + -2. Let i = 6835 - l. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 + 3*n. Let x be a(-2). Suppose 12 = 3*f - 5*g - x, 0 = -4*f - 2*g + 12. What is the second derivative of b**4 - b - 2*b**f + 3*b wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2\/15 (c) 184\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 - 96. Calculate the smallest common multiple of h and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*h = -8, -5*k + 0*h = -5*h - 45 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**3 - 5*w**2 + 29*w + 19. Calculate c(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.9445 * -9.\nAnswer: -35.5005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21367 = -22*d + 21059 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 8:34 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = f. Suppose 0 = f*i - 5*i + 42. Calculate the remainder when -1 + (2 - -53)\/1 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-4))\/(26\/(-5928)). Let y = k + 171. Is y < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23829.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*s + 98*s - 5795 = 3*g, 3*s + 4*g = -g + 11 + 7 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from kxxxxxk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from wfwfswfifsfsff?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (3 - 16 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1856 divided by -928.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 1. Let o(y) = -2*y - 2. Suppose 0 = 14*f - 55129 + 55059. Calculate f*r(c) + 6*o(c).\nAnswer: -2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4237, -6961, -9671, -12361, -15025, -17657, -20251?\n\"Answer: n**3 + n**2 - 2734*n - 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 44. Sort i, -1, 5 in increasing order.\nAnswer: -1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g + 8*m = 36*g - 8, 3*g = -3*m - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(2*q + 18 - 18) - q + 3*q - 4*q + 0 + 0 - 2*q + (0 + 0 + 1)*(3*q - 3*q - 2*q).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/(5\/((-150)\/9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*u**2 + b**3*u - 513*b*u**2 + u + 1225 wrt u.\nAnswer: -4*b**3 - 1026*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f + 59 = -5. Suppose 0 = 5*i + f*r - 58, -5*i = -2*i + 4*r - 46. What is the least common multiple of (-3)\/12 - 49\/(-4) and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2690, -2592, -2496, -2402, -2310, -2220, -2132?\n\"Answer: -h**2 + 101*h - 2790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 2*r**2 - 13*r - 33. Does 6 divide y(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2840.01267 - 2840. Round n to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 0*s - s - 3*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -21*q**2 - 29*q + 15. Let o(z) = -10*z**2 - 14*z + 7. Let v(m) = -6*i(m) + 13*o(m). Let h(d) = d - d**2 - 4*d + 2*d. What is -6*h(y) + v(y)?\nAnswer: 2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 8:22 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -112 + -4?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 38 = 4*v - w, 5*v - 4*w - 37 = 0. Suppose d - 4*d + v = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 825.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 31*u - 283. Let a be v(10). Let i be 7218000*((-1440)\/a)\/(-8). Round i to the nearest 1000000.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-24 + 12 + 12 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 0.283?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(280\/640)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1833466, -1833465, -1833464, -1833463, -1833462, -1833461?\n\"Answer: z - 1833467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -3, 3, 2\/31, -1814 in ascending order.\nAnswer: -1814, -3, -0.06, 2\/31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + p - p)*(-1 + 1 + p**2) + (-8 - 2 + 0)*(-2*p + 2*p - 3*p**3) + p**3 + 3*p**2 - 3*p**2 to f*p + d*p**2 + m + j*p**3 and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 2*q - 1. Let t be 0\/(276\/(-66) - (-2)\/11). Let l(a) = t*a**2 + 3*a**2 - 5*a - 29133 + 29135. Give 5*j(z) + 2*l(z).\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -770 divided by -2\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/(1195\/(-2868)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 - 32*x**4 - 284*x**3 + 312*x**2 = 0.\nAnswer: -6, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -52*f + 569. Give z(23).\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1947 and 825?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5 - 7 - 2*y + 12. Let u(q) = -15*q**2. What is i(u(o))?\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8750738 is divided by 672.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 + 237. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -789340.\nAnswer: -789340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + 4 + -2 + -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148032 divided by 18504.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqxowoiqttxqqx. What is prob of sequence qt?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 60 = -g - 41, u = -6. Let l(r) = -23*r. Let n(a) = 12*a. What is g*n(q) + 3*l(q)?\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112 - 418*v + 112 to s*v + i and give s.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-868)\/(-651) + 30\/8 - 5.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*y - 10, 0 = -4*c + 4*y + 92. Suppose 4*g + 4*l = 112, 4*g + 4*l = 5*g - c. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 - 0.6. Let o be 4\/16 + (-1)\/2. Which is bigger: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 174, 721, 1634, 2913, 4558?\n\"Answer: 183*b**2 - 2*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -200 + 396. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 35*n + 52. Let d(l) = 3*l**2 + 68*l + 104. Let v(s) = -2*d(s) + 5*q(s). Let b be v(40). Calculate the highest common divisor of b and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3 - 1762020*s**2 - 7048054*s - 5286036 = 0. What is s?\nAnswer: -881006, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/15 + 141514*w\/15 - 2263712\/15.\nAnswer: -2*(w - 70741)*(w - 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -u, -4*u + 50 = -5*d + 53 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -5991?\nAnswer: 599a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 28*v**2 + v - 7. Let k(d) = -2*d. Give k(l(z)).\nAnswer: -56*z**2 - 2*z + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -12 (b) -13\/4 (c) -0.5 (d) 3\/5 (e) 3935 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 not equal to 816\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*q - 7*q - 288*q)*((-2 + 1 + 0)*(3 + 1 - 2) + 3 - 4 + 0)*(3 - 2*q**3 - 3).\nAnswer: -2016*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - o - 111 = -14, 51 = f - o. Let t(l) = -3*l - 1. Let i be t(3). What is the remainder when f is divided by 80\/(-24)*48\/i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 5104*m**2 - 1663316*m + 22297016.\nAnswer: -4*(m - 631)**2*(m - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:33 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 5*g - 45, 1093*g - 9 = u + 1092*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t**4\/7 + 16*t**3\/7 + 138*t**2\/7 + 152*t\/7 + 40\/7 = 0 for t.\nAnswer: -2, -1, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13056 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9322\/8690*(-209)\/(-152)*8\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 225.\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*i + 32 = 0, 5*i + 936 = 4*h + 865 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010110100101001100 + 111110?\nAnswer: 1000010110100110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 597 and 19303?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6444261737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 11:29 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2044532172.00000142 + -2044532267. Let m = 95 + s. What is m rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 2 f when four letters picked without replacement from fmwrmwkwmfqqmr?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 57, -3, -209?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65\/12 + 23\/4. Let d = -2.23 + 0.03. Let u = -2 - d. Which is the nearest to u? (a) k (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 48*p - 24. Determine g(3).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 27, 4, 49, -21 in ascending order.\nAnswer: -21, 1, 4, 27, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735869503.\nAnswer: 735869503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 5:05 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121\/27 - -766\/189. Let n = 73.8 - 64. Let v = -10 + n. What is the smallest value in v, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -9 - 1) + 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -13 - (-3 + (4 - 14)). Which is the nearest to d? (a) 0 (b) 5 (c) -4\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -150721 - -1?\nAnswer: -150720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 932. What are the prime factors of c(23)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 177\/4 or -2\/21?\nAnswer: 177\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14564*l**3*o**2 - 21*l**3*o + 79*l**2*o - l*o wrt o?\nAnswer: -29128*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 11:14 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2 + 13737630*x = 0.\nAnswer: -6868815, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.1 (c) 1 (d) 699 (e) 0.08 (f) 1\/2 (g) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u**3 + 7*u**2 - 29*u - 14. Let i(t) = 3*t**3 - 2*t**2 + 10*t + 4. Determine 2*f(z) + 7*i(z).\nAnswer: 3*z**3 + 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 1 + -1 + 1. Let z(q) = q**2 + 36*q + 67. Let j be z(-34). What is the nearest to -2 in 1\/2, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -4 (c) 0.0419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 1)\/1 - (0 + -2). Find the common denominator of 146\/20 + v + 3\/(-3) and -9\/37.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:10 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(385)\/sqrt(63) - sqrt(495)\/(sqrt(18)\/sqrt(2)))\/(sqrt(275)*1*-5))**2*2.\nAnswer: 2\/1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147.\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-2)\/10)\/(111\/370)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)*f*f**(-7)*f\/f**(1\/5)*f**(-5))\/(f**(-10)\/f**(-5))**45 assuming f is positive.\nAnswer: f**(4301\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95396.95 centuries in millennia?\nAnswer: 9539.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*q**4*v**2 + 427*q**3*v**3 + 14*q**2*v**3 - 1938*v**3 wrt q?\nAnswer: -1512*q*v**2 + 2562*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - u - 2 + 2*u + 0*u + 0*u + (3 + 2 - 3)*(0 + 0 + 2*u) + 0*u - 4*u + 5*u + 5*u + 0*u - 2*u)*(-5 - 1 + 3).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4416021 + -1?\nAnswer: 4416020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30010033323 - 1101?\nAnswer: 30010032222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223210.\nAnswer: 2, 5, 13, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 9*o - 33. Suppose -5*b = 2*b - 14. Let w be (-15)\/b*(-120)\/75. Let s be y(w). Solve -2 - s = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1030387120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 19 (b) -1 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -904 + 860.7. Let i = t + 43. Put 3\/5, i, -1 in ascending order.\nAnswer: -1, i, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**4\/24 + 8*f**3\/3 + 3*f**2. Let j be u(13). Solve i = -j*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 + -96.9. Let p = 1.1 - v. Let h be -3 - 6*(-7)\/(63\/6). Which is the nearest to h? (a) p (b) -0.3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 35 = -29. Suppose c*v = 0, -4*z + 9*v + 44 = 11*v. Calculate the smallest common multiple of z and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + t)*(-t**2 - t**2 + 3*t**2) - 3*t**3 + 0 + 0 - t**3 - t**2 + t**2 + (3 - 3 - 2*t**2)*(-1 - t + 1).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 1.5, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -284*g**2 + 0*g - g + 283*g**2 + g. Let q(j) = 740*j**2. Give q(s(l)).\nAnswer: 740*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -1362680?\nAnswer: -1362680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203 + 202 - 3*k - 405.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 259260*y**3 - y**2 - 3*y - 2. Let a = -2 - -5. Let l be i(a). Round l to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 390, 778, 1166, 1554?\n\"Answer: 388*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 2. Let r(u) = u**3 + 7*u**2 - 8*u + 7. Let g be r(-8). Suppose 0 = 2*q - g*q. Let i be t(q). Which is smaller: i or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + a - 180. Let h = 82 + a. Let k = h - 19. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5662058 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-10)*(-1 + -4). Let x be 6\/4*(-20)\/6. Put x, 3, l in descending order.\nAnswer: l, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.2529975 rounded to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47 + b223?\nAnswer: b1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Suppose 0 = 3*a + c*a - 75. Solve -3*r + a + 0 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.6. Which is the third biggest value? (a) 5 (b) s (c) 1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/24)\/t*t\/(t*t\/(t**(-8)\/t)) assuming t is positive.\nAnswer: t**(-265\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -919, -422, 399, 1544, 3013, 4806, 6923?\nAnswer: 9364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1223209\/881096 + -638\/457. Find the common denominator of a and 51\/4579.\nAnswer: 36632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -384, -378, -368, -354, -336, -314, -288?\n\"Answer: 2*z**2 - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26039 (base 15) in base 16?\nAnswer: -1dad2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6 + 6 + (-4 + 0 + 2)*(-2 + 1 - 1) - 4 + 2 + 0)*(1 + y + y - 2).\nAnswer: 22*y - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -8*u**3\/3 + 3*u**2 - 5. What is the second derivative of b(p) wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/(-56)*259\/74.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102bc (base 14) in base 3?\nAnswer: 1222110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41006952 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 33*t + 21. Let f be l(32). Let n be (-2)\/(1\/(-2 + f\/(-5))). Let k be (1 - 3) + 24\/14. What is the closest to n in 0.4, -1\/12, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkkw when four letters picked without replacement from wvkvvkkkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w - 3*w)*(-2 - 2 + 3).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 2*k**2 + 5 + (2*k**2 + 0 + 0)*(2 + 3 - 3) + (-2*k - 1 + 1)*(3 + 2*k - 3).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 16*w - 8*w**2 + 4\/3*w**3 - 4. Factor a(u).\nAnswer: 4*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4291 is divided by 4267.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52523792 to the nearest integer?\nAnswer: 7247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10)*(5 + -2)*1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(2 + (2*sqrt(325) + sqrt(325) + -2 + sqrt(325))*-2 + -1).\nAnswer: -200*sqrt(13) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - p**2 + 0*p**2 - 9*p**2 + 3*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*-2 + 5)**2 + -2*sqrt(612)*-2 + sqrt(612).\nAnswer: -90*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - 0 - 12 - (-89607 - -89730).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 10.05994, 4, 0.3 in descending order.\nAnswer: 10.05994, 4, 0.3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/91)\/((b*b**(-22)\/b)\/b) assuming b is positive.\nAnswer: b**(2095\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 7*m**2 + m - 24. Is l(5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14427 - -28276. Is 37 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2\/747, 54, 0.5, -1?\nAnswer: 2\/747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -8. Let n be 4\/w*-6 + -3. Let f = -3654 - -3654.2. What is the nearest to n in 3, 17\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 19*n**2 + 2*n - 30. What is the units digit of d(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -20*j**2 + 18. Let p be (-31)\/(-3) - 18\/(-54)*2. Let b(v) = 7*v**2 - 6. Calculate p*b(g) + 4*q(g).\nAnswer: -3*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8633, -17258, -25873, -34478, -43073, -51658?\nAnswer: -60233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 43*i - 38*i + 26, i = -4*t - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 2494?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/10 - (-637)\/70. Suppose -c*u + 2306 + 88 = 0. What is the lowest common multiple of u and 2?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f**3 + 4*f**3 - 4*f**3 + (-4*f - 3 + 3)*(-18*f**2 - 17*f**2 - f**2).\nAnswer: 153*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485649 is divided by 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 94*j - 107*j. Let x(a) be the second derivative of 1\/8*a**4 - 3\/4*a**j - 1\/40*a**5 + 10*a + 1\/12*a**3 + 0. Factor x(b).\nAnswer: -(b - 3)*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/10*(-50)\/4. Let p(v) be the third derivative of -1\/24*v**4 - 531*v**2 - 2*v**3 + 0*v + 0. Give p(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 14*h**3 - 3*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 2*t)*(-1 - 1 + 4) + (-2 - 3 + 4)*(-2*t + 3*t + 0*t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y**(-3\/4)*y))*y*y**(-10) assuming y is positive.\nAnswer: y**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5899 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -12. Find the common denominator of (d\/9)\/(12\/(-333)) and ((-8)\/(-32))\/((-1)\/(-97)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*2*322\/(-175). Let w = z + -18. Let d be (1\/(-3))\/(5\/2). Which is the closest to 4\/7? (a) d (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -23, -64, -139, -260, -439, -688, -1019?\n\"Answer: -2*y**3 + y**2 - 8*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 1 - 3*w + 6*w + 2 - 2*w. Let l(r) = -r**3 - 5*r**2 + 4*r + 5. Give -10*c(o) + 2*l(o).\nAnswer: -2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, -0.03, -50.39 in ascending order.\nAnswer: -50.39, -2, -0.2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + 3*(1 + sqrt(468) - sqrt(468)) + (sqrt(468) - (-3 + (sqrt(468) - (sqrt(468) + -2)))))**2.\nAnswer: -3294 - 648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 4, k: 16}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61028, 72451, 83874, 95297, 106720, 118143?\nAnswer: 129566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 98 - 2 = 0. What is the greatest common divisor of 160 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144233847.\nAnswer: 47, 24345401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/((-84)\/8)*-18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*i + 547 = -48*i - 8597 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 8841781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1841 - 3006. Let u = -302 - f. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1368)\/96 - -13 - (-28)\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/189690 and -37\/151752.\nAnswer: 758760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k - 9. Suppose 10*f + 287 - 267 = 0. Give d(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 324*g - 370*g + 1 - 22*g**2.\nAnswer: -22*g**2 - 46*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 5*h**2 - 154*h\/3.\nAnswer: h*(h - 7)*(h + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 11. Let j = -8 - p. Let s = j - -9. Solve s*r + 31 - 6 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.3, -4, -2, 4\/5?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 2*y, 38*y - 36*y = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 24*l**3 + 70*l**2.\nAnswer: 2*l**2*(l + 5)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bby when three letters picked without replacement from bxbbbbxbyyb.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0*w**2 + 2\/3*w**3 + 0 + 2*w. Let n(d) = -d**2. Give n(r(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*k - 3289 - 311 = k. What is the greatest common divisor of 129 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922028?\nAnswer: 2, 230507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 10*q - 20. Suppose q*z = z + 20. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1368 = 5*s, -4*q + 848 = -3*s + 4. Does 14 divide (s\/9 - 2)*(-7 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.55 - 26?\nAnswer: -23.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391671 divided by -18651.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (sqrt(2448)*2 + 3)**2*-6 + (((sqrt(2448) + -3*sqrt(2448))*-6 - sqrt(2448))**2 - ((sqrt(2448) + 4 + sqrt(2448)*-1)**2 - sqrt(2448))).\nAnswer: -852*sqrt(17) + 237395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.798755 from -0.04.\nAnswer: -0.838755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, -94, -4 in increasing order.\nAnswer: -94, -15, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 662 - 106. Calculate the remainder when r is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 11*w - 20. Let r be h(2). Let v(o) = 10*o**2 - 17*o**2 + 4*o**r. Let m(c) = 35*c. Determine m(v(g)).\nAnswer: -105*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 158)*(2 - 4)*1. Is 2 + (n\/5 - 14\/70) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v - 65. Let o be -2*(90\/4)\/5. What is the remainder when 8\/(-36) - 227\/o is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 4, 4\/7, -0.04, -3.\nAnswer: -98, -3, -0.04, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23739.9 and -0.3?\nAnswer: -7121.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 841, 1795, 2737, 3661, 4561, 5431, 6265?\nAnswer: 7057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**2*c*(c**(2\/9)*c)\/c)\/(c**(-1\/4))**(-5\/7))\/((c**6*c\/c**(-6\/7)*c)\/((c*c*(c*c**(-9)\/c)\/c*c)\/c**5)) assuming c is positive.\nAnswer: c**(-4993\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 26*n**2 + 16*n**2 + 2*n.\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.432 + 30.9. Let a = d + -0.368. What is the nearest to -2 in -3\/7, -0.2, 0.019, a?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*u + u + 89, 0 = 5*b + 4*u + 131. Let j = -9 - b. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -9. Suppose 0 = 4*a, 2*x - 3*a = x - v. Let u = x + 22. What is the remainder when u is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*d + 2 = -168*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 434 = 399 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llmm when four letters picked without replacement from llllmml?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -23. Find the first derivative of -24 + y*o**3 - 35 + 50 wrt o.\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8283869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1431 + 549 = 5*a. What is the highest common factor of a and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 922*r\/7 + 66\/7.\nAnswer: -2*(r - 33)*(14*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09202 or -30.1?\nAnswer: -30.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + -3*sqrt(190) + sqrt(190))*-2)\/(sqrt(80)\/((sqrt(8)*-3 - sqrt(8)) + sqrt(8) + sqrt(8))).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-117) - (1 + (-178)\/(-9)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/15 + (738833\/(-16060) - -46)\/((-3)\/(-632))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (9 - (-1 + 5)) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -35. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 936, 1424, 1568, 1476, 1256, 1016, 864?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -871635*g**4 + 5*g + 13200326?\nAnswer: -3486540*g**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4129 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-8 - (-17 - -8 - 4) - 68).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27055)\/(-45) + 58\/(-261). Is l equal to 602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 6*s - 6. Let y be j(-6). Let o = 11 + y. Let l(w) = 153*w - 14. Is l(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 396 and 3113?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5753, -6916, -10071, -16214, -26341, -41448?\n\"Answer: -166*x**3 - x - 5586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.7 - 3.7. Let k be 8 - -3 - (-736)\/(-69). What is the closest to l in 3\/4, 3, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85202 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16104*w - 962772 + 302508 = 0 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -196*v - 184*v + 383*v + 20 - 1 + 1 + 2*v + (-1 + 1 - 2)*(-2*v + v + 0*v) as w + k*v and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2758524 days in seconds?\nAnswer: 23833.64736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) - 34\/(-9). Let z be ((h\/(-12))\/(9\/(-12)))\/(-2). Which is the second smallest value? (a) 2\/11 (b) -3 (c) -4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53298127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-4)\/(-14) - (-2)\/7. Let k(d) = 10*d - 2. Give k(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1 + (0 + 18 - 3)*(-3 + 0 + 0))*(-s - 3*s + 3*s).\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 343786397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 369936 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 29.82. Let f = 0.75 + s. Let t = -0.17 + f. Sort -3, 0.3, t in decreasing order.\nAnswer: t, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.39 - 2.39. Let u = -8.17 + -0.03. Let w = -1.8 + u. What is the second smallest value in w, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15111975132 - 0.025.\nAnswer: -15111975132.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 22684080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 1176*s + 3546.\nAnswer: -2*(s - 591)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660838.54 less than -724?\nAnswer: -1661562.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o - 12*o = -1349040000. Round o to the nearest one million.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8965 a factor of 1065776004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2447.612 + -2447.1720076. Let k = 0.44 - c. Round k to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/315 + l**6\/60 + l**5\/90 - l**4\/12 - 2*l**3\/9 + 7*l**2. Solve a(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x**4 + 23*x**3 - 6*x**2 - x + 2. Let a(m) = 69*m**4 - 162*m**3 + 42*m**2 + 6*m - 15. Let k(f) = 2*a(f) + 15*c(f). What is o in k(o) = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (300\/80)\/(9\/18120).\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*a = -60*a - 92 + 92. Solve a = 146*h - 181*h - 175 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-2)\/(-2)*-137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + p + 16*p**3 - 178*p**3 + 58*p**3 in the form a + j*p**2 + x*p + r*p**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 974272370 to the power of 1\/3, to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1379*w**3 - w**5 - 28 - 1379*w**3 + (-2*w**4 + 4*w**4 - 5*w**4)*(-w + 4*w - w).\nAnswer: -7*w**5 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -14*a + 1\/12*a**4 - 5\/2*a**2 + 0 - 4\/3*a**3. Let w be f(8). Is w != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-450)\/(-38475)*3\/(-2))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40790, 79485, 118180?\nAnswer: 156875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1054, 1051, 1046, 1039, 1030, 1019, 1006?\n\"Answer: -l**2 + 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 329*t + 1305940 = 0. What is the greatest common divisor of t and 345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 18. Suppose 3*l + l = j. Let c be ((-21)\/(-7))\/((-6)\/8). Put l, 1, c in descending order.\nAnswer: 1, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - 7) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:41 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 2)*0*17\/(-17). Suppose t = 3*c - 3 - 12. Which is greater: 21\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1. Let i(y) = -6*y - 8. Determine b(t) - i(t).\nAnswer: 6*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 96 (b) -1.32 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.5 + 14. What is the third biggest value in z, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36465532*x**6 - 14*x**2 - 358264*x + 3?\nAnswer: -4375863840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123748, -245902, -368066, -490246, -612448?\nAnswer: -734678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 132, 122, 112?\n\"Answer: -10*r + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.45 * 7.9\nAnswer: -11.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -8\/1203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11*w - 3. Let x(v) = -12*v + 2. Suppose -54*z - 19*z = 16*z - 356. Determine z*m(q) + 5*x(q).\nAnswer: -16*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16.564*-3.32\nAnswer: 54.99248","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -1033552.8 - -4287.3\nAnswer: -1029265.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Let g = o - 0. What is the units digit of ((-2)\/(-4))\/(g\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/35*-1 + (-1311)\/7. Let y = 437 + d. Let c = -142 + y. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16653 and 7137?\nAnswer: 49959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (120\/(-144))\/((-16)\/6) and 12\/35*14\/4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 5 + 6*(3 + -4*sqrt(1100)))**2.\nAnswer: -1268352 + 23040*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.2 - 27.2. Let l = 24.00000023 + r. Round l to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 574, 2\/13, 0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/3*8\/(-32)*-12. What is the nearest to n in -0.4, 0.3, 13\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 28 = 16*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -120a827 (base 12) to base 8\nAnswer: -15270037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 132*i + 36. Is o(3) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 22*b**3 - 3467*b**2 + 420*b + 2537. Let p(i) = 0. Calculate i.\nAnswer: 2\/33, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 - 509651958*q + 21645426524436147 = 0.\nAnswer: 84941993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7108751, 14217506, 21326261, 28435016, 35543771?\n\"Answer: 7108755*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 3 - 3 + (3 - 3 - 2)*(-g - 2*g + 4*g) - 2 + 2 - 2*g - g + 1 - 1 + 2*g - 3*g + 3*g + 1613*g - 995*g + 5347*g + 97*g.\nAnswer: 6061*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.5 (c) 2\/7 (d) -151 (e) -0.005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*((-3)\/21 - (-20)\/(-56))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 11:58 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5623*w + 104 = 5628*w - 4*f, -5*f - 85 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -22 + (50 - 15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3 = 3*r, 3*r - 10 = -4*w + 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566941 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c8bed (base 15) in base 14?\nAnswer: b0d579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -49. Suppose 8*w = s*w. Which is greater: 6\/5 or w?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c - 9. Let h = 6698 + -6691. Let m(f) = 3*f - 3. Determine h*m(w) - 2*n(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 * 2.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f. Let c(v) = -2*v - 4. Let n(q) = -3*q - 7. Let j(k) = 7*c(k) - 4*n(k). What is g(j(o))?\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51694?\nAnswer: 2, 25847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(243) - -1*sqrt(243)*2)*-5)**2 + ((sqrt(243) - (5*2*sqrt(243) + sqrt(243)))*-1)**2)*1.\nAnswer: -236925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/154*7)\/(1\/7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(96)\/sqrt(12) + sqrt(162) + -1).\nAnswer: -6 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 333576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1665427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -29316 (base 14) to base 13\nAnswer: -37648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(4) + 2*sqrt(4)))\/sqrt(10) + ((sqrt(5) + (1 + sqrt(405) + sqrt(405) + sqrt(405) - sqrt(5)))**2 - (-2*sqrt(5) + sqrt(5))*-1).\nAnswer: 160*sqrt(5)\/3 + 3646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85*y**4 + 47 - 47 + (-1 + 2 - 3)*(-1 + 1 + y**4) + y**4 - 3*y**4 + 3*y**4.\nAnswer: -86*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.705 - 1.2115. Let u = z + 0.49. What is u rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 10 + 13. Let z = 25 - w. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -34.9. Which is the closest to o? (a) 0 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49, -66, -109, -190, -321, -514, -781?\n\"Answer: -2*f**3 - f**2 - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-12) - (5 + 0 - 3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -k - 0*a + 10, -4*a + 8 = 0. Let q be (-2)\/((4\/5)\/k). Let l = q - -8. Let s(w) = w + 1. Let p(j) = j**2 - 5*j - 1. Determine l*s(v) + p(v).\nAnswer: v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4)*(96\/(-21) - -4). Put 2\/13, b, -1\/2, 6 in descending order.\nAnswer: 6, 2\/13, b, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016056 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*28\/(-70).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-31))\/((-2931)\/30287))\/(1\/243*-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - (5 + -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 - 51. Suppose -2*x = 5*r - 140, -2*r + 80 = -4*x - 0*x. What is the greatest common factor of d and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64644092?\nAnswer: 2, 16161023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjii when four letters picked without replacement from izijjzii.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.4961 + -0.0461. Round d to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1055*f**2 - 2180*f**2 + 1057*f**2.\nAnswer: -68*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 + 511054.\nAnswer: 510778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.76 - 4.77. Let c = -0.01 - p. Sort 3, c, -3 in descending order.\nAnswer: 3, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 1. Let w(y) = 8*y + 159. Calculate 6*c(v) - w(v).\nAnswer: -2*v - 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**3 - 5*q**2 - 36*q + 6. Let g(a) = a - 1. Let n(h) = 6*g(h) + p(h). Factor n(m).\nAnswer: 5*m*(m - 3)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 12*z**2 - 13*z + 9. Let q be k(13). Let r = q + -6. Sort -2, -5, r.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118353 + 243732 = -3585*s for s.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15638 + 15640. Find n such that -3\/2*n**4 + 15\/2*n**y - 6 + 6*n + 3\/2*n**5 - 15\/2*n**3 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164837.8 minutes in seconds?\nAnswer: 9890268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137\/3 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 6*i**3 + 3*i**3)*(-3*i + 0*i + i) + (64 - 7 - 2)*(2*i**4 - 3*i**4 - i**4).\nAnswer: -132*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10897700 and 5500?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(420\/102) + (-3)\/(-5). Solve -2*i = -j*g - 7*i - 19, -5*i = -5*g + 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 28*p**3 + 253*p**2 + 9*p + 33. Give s(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 236.025 - 236. Round j to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 12. Let c be (-13)\/(-3) + (-11)\/33. What is the derivative of 13 - 18*i**c + 33*i**4 - 24*i**k wrt i?\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15970 + 41?\nAnswer: -1592c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:06 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7711641601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1650)\/125)\/((-6)\/20). Suppose 0 = -2*f + 58 + a. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3404 - -3398. Which is the closest to 1\/4? (a) h (b) 0 (c) -4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 690 and 6?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3 less than -0.267595?\nAnswer: -4.567595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a + 3. Let n be u(-13). Calculate the greatest common divisor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 2*a**2 - 8*a - 115. Let h be z(-5). Let j(w) be the second derivative of h + 25\/3*w**2 + 4*w + 1\/18*w**4 - 10\/9*w**3. Factor j(f).\nAnswer: 2*(f - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1143 and 135255?\nAnswer: 405765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 2, 1 in decreasing order.\nAnswer: 2, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -65a32?\nAnswer: -65a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 7*z - 4*v - 8, 3*v = -5*z + 17. Solve s - 6 = -0*s + j, -z*j - 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80.8*43.\nAnswer: -3474.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 0*f + 3*f + (-2 - 1 + 2)*(4 - 4 - 2*f))*(-83*f**2 + 3*f + 85*f**2 + 2 + 19*f) as v*f + h*f**2 + c + t*f**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93090197?\nAnswer: 93090197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1\/8 (c) 9\/2 (d) 27 (e) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -40*j**2 + 9*j. Let z(r) = 5648*r**2. Calculate k(z(u)).\nAnswer: -1275996160*u**4 + 50832*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125253\/208061828 - 6\/50063. Do g and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d - 3*d + 0*d + d + 0*d + 0*d + (-3 + 5 + 1)*(d + 0*d + d) + 3*d - d - d + 3 - 6 + 4 - d in the form l*d + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10728857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 + 57. Let v be (1 - 20)*(0 + (i - 6)). Suppose -9*h = 2 - v. Solve -6 = -y - h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*(1\/4)\/(140\/(-50)). What is the closest to -2\/3 in 1\/5, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 35*m**2 - 47*m + 2858. What is l(36)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79024\/3 + 26342. Factor -4\/3*q**3 + 0 + i*q**2 + 2\/3*q**4 + 0*q.\nAnswer: 2*q**2*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13321132322 (base 5) to base 16\nAnswer: -1030107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5.9*0.08095217\nAnswer: 0.477617803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (103 + -86 - (11 + 1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/2)\/(-106 - -105). Suppose -5*l = 5 - 320. Suppose -178 + l = -5*f. Which is the closest to 1? (a) i (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 7*g - 4*g + g in the form i*g + y and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156*g**5 - 1716*g**2?\nAnswer: -9360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 9*o - 5. Let p be u(-8). Let f be p\/(-36)*-4 + (-2)\/6. Suppose f = -6*m + 39 - 3. Solve -n - 24 = s - m*n, 4*s + 4*n = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s = -5*r - 0*s - 7*s - 17, 18*r = 7*s - 46 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = 125. Let j = -18 - z. Let k = 13 - j. What is the highest common factor of k and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293325320 rounded to the nearest 1000000?\nAnswer: -1293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (26 + (-9 - (2 - 8)))) + -9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 49*s**2 - 532*s + 193. Give g(-33).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/11 - 296*r**2\/11 - 6240*r\/11 - 35712\/11 = 0. What is r?\nAnswer: -124, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 897400519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z + 4, -3*z - 3 = -3*j. Suppose d - j = 6. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -345709.706 to the nearest ten.\nAnswer: -345710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1052, -1022, -948, -812, -596, -282, 148, 712?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 293 = 4*f, -f = 5*h - 0*h + 450. Let a = -101 - h. Let i(o) = 11*o. Let p be i(-1). Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - 127*u - 136*u + 197*u + 9*u**2 - 8*u**2 to l*u**3 + y + p*u**2 + x*u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330 (base 4) to base 5.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 136.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fky when three letters picked without replacement from {w: 5, k: 2, f: 1, y: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -287786 and 605672.\nAnswer: 317886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z + 24. Let d = 1 - -7. What is the smallest common multiple of z and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*v - 6504 = 117*v - 4722 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - (-18)\/4. Suppose -4*b = t*v + 65, 3*b - 2*v + 46 = -3*v. What is b rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/788170 and 103\/46880.\nAnswer: 12610720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1. Let h be 507\/15 + 24\/(-30). Let s(d) = -16 + h - d - 22 - d. Give -6*p(z) - s(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-7\/5)*p\/p**(-46) assuming p is positive.\nAnswer: p**(228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 13. Suppose z*s - 6*s = 4*c - 168, 3*c - 3*s - 114 = 0. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*u**5 - 99418*u**4 - 99*u**2 + 40064033*u - 1 wrt u?\nAnswer: -80*u**3 - 1193016*u**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 1, l: 1, b: 2, f: 1, g: 1}. What is prob of picking 1 d and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r\/r**(1\/3)*r*r*r))))**(-42))**(2\/53)\/((r**(-1))**(-25)*(r**(-2\/5))**(-2\/7)) assuming r is positive.\nAnswer: r**(-38747\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/5)*l**(-5)*l**(-2)*l*l**(-3\/2) assuming l is positive.\nAnswer: l**(-67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 2, i: 2, z: 1, k: 2}. Give prob of sequence ikf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 3. Let d be k(-6). Let q be 8 + (d - -2 - 2). Solve -3*u + 2*b + 6 = -q*u, 4*b = 3*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54393 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001496761 rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 14 - 134 + 120. Let c(l) = 9*l**2 - l - 2. Determine c(o(y)).\nAnswer: 36*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 17*g - 11. Let y(o) = 6*o - 4. Let q(j) = 4*b(j) - 11*y(j). Let p(s) be the third derivative of s**4\/12 + s**2. Determine p(q(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -62915 divided by -5?\nAnswer: 12583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 907434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 295\/4. Let d = -7 - -4. Let s be (-1)\/d + 0\/5. Which is the third smallest value? (a) l (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.36524.\nAnswer: 1.09572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b = -2*r + 84, 0 = 3*b - 6. Suppose r*u = 17648 + 13218. List the prime factors of u.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56254949 to the nearest integer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153392*f**3 - 67256*f**3 - 35001*f**3.\nAnswer: -255649*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {o: 1, e: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/6)\/(1*(-6)\/9). Suppose 28*m - 90 = 22*m. Let r be ((-5)\/3 - -2) + m\/9. Solve -r*n + n = -c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Let c = 6 + -13. Let j = 4 + c. Put 0, j, h in decreasing order.\nAnswer: h, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + c - c**3 + 14*c**2 + 15*c**2 - 29*c**2 to i + m*c**3 + b*c**2 + h*c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b3b - 2?\nAnswer: 1b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:58 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 b when three letters picked without replacement from {y: 1, w: 1, b: 2, v: 1, a: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/((-265)\/5300)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3315 or -744?\nAnswer: 3315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*x + 112 = -82*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19fb (base 16) to base 4.\nAnswer: 1213323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/2 + 83*y**2\/2 - 42*y = 0. What is y?\nAnswer: -84, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10464743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3634360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(84) - (sqrt(84)*1 + sqrt(84) - sqrt(84)))*4)\/(-1*sqrt(12)*-3))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031\/6 + (-42)\/(-36) + -1?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 32 = -5*v. Let s(x) = -2*x - 15. Let t be s(v). Sort 2, -4, t.\nAnswer: -4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.5 from 84.2.\nAnswer: 88.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*s - 32, 3*z + 0*s = -3*s - 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 12. Let o be ((-2)\/3)\/((-6)\/81). Let r be f(o). Let h = -16 + 10. Sort r, 5, h in increasing order.\nAnswer: h, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189 - 107) + 7 + -110.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 46875*k**4 + 135279750*k**3 + 97601092887*k**2 - 3123338868*k + 24986988 = 0?\nAnswer: -1443, 2\/125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (0 - 1))*-2. Suppose -q*i = -16 - 4. What is f in -15*f**2 - 2*f**5 - 10*f - 13*f**3 - i*f**2 - 2 - 10*f**4 - 7*f**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -356715103\nAnswer: -1\/356715103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1943*h**3*s + 5*h**3 - 7*h**2*s - h**2 - h*s + h - s - 6161 wrt h.\nAnswer: -11658*h*s + 30*h - 14*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277 (base 12) to base 16.\nAnswer: 17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 5, -870, 0.4, 1.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -31*v**2 - 5*v + 133. Let a(l) = -111*l**2 - 18*l + 465. Give 5*a(b) - 18*j(b).\nAnswer: 3*b**2 - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7793a28 + -11?\nAnswer: -7793a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 16*z**3 - 4*z**2 - 11*z + 21. Let h = -2149 + 2147. Let q(j) = -3*j**3 + j**2 + 2*j - 4. What is h*s(t) - 11*q(t)?\nAnswer: t**3 - 3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106504*f**3*i**3 - 23*f**3*i*t**2 - f**3 - 4*f**2*i*t**2 + i**3*t**2 - 17*i**2*t**2 - i**2 - 2*i*t**2 wrt i?\nAnswer: 639024*f**3 + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (2 - 63\/12). Suppose -5*g = -90 + 330. Let l be (-44)\/g - (-2)\/(-8). What is the nearest to l in v, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558354 (base 9) to base 13.\nAnswer: b9149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.21 - -218.61. Let x = 164 - k. Round x to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**3\/3 - 10*a**2 - 45*a + 1068. Calculate o(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 = -16. Let s(c) = -c**3 + 10*c**2 + 10*c - 1. Does 23 divide s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/56 and 71\/1784?\nAnswer: 12488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k + 9*k - 15*k as m + n*k and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(220)*3)\/sqrt(11).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2\/7 - 604*h\/7 - 53957\/7 = 0.\nAnswer: -79, 683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*(28555\/9 + (-60)\/(-270))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2 + 44375492*h + 88750992 = 0. Calculate h.\nAnswer: -2, 22187748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*j - 68, 4*z + 3*j = -j + 136. Let g = -44 + z. Calculate the remainder when 96 is divided by (-12)\/g*220\/8.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/3 (b) 0.4 (c) 3 (d) 0.2 (e) 7 (f) -1367 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1285 + 2156*o**2 + 1285 to w + g*o + c*o**2 and give c.\nAnswer: 2156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*y + 189 + 156. Which is the third smallest value? (a) -0.2 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g**3 + 815*g**2 - 2860*g + 960 = 0. Calculate g.\nAnswer: 3\/8, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*r - 0*r - 3*t, -4*t = -5*r - 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098366314.\nAnswer: 2, 101, 149, 36493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -127*j + 2. What is the hundreds digit of y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4 - (-10 + 6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 14. Let v be u(8). Suppose -v*k + 25 = -k. Suppose -2*o + 8*o = -30. What is the third biggest value in k, o, -3\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128043 = -21726*a + 7499*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3\/2 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 1)*(-2*r - r + 2*r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 1\/3*j**4 + 0*j**3 - 10*j + 31\/210*j**7 - 1\/30*j**5 - 2*j**2 + 0 - 1\/120*j**6. What is the third derivative of c(l) wrt l?\nAnswer: 744*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 8*c**2 + 33*c - 4. Determine x(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59250.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(228\/106533*-21).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 4. Let o = 6.935 + m. Round o to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + sqrt(5) + 4.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-7)*(-4)\/3. Let o = -0.53 - 4.87. Let p = 0.4 + o. What is the nearest to 0 in p, l, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 88\/367?\nAnswer: 88\/367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -1104?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 145\/(-5))\/((-3)\/(-664))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-470)\/50)\/(2\/(-5))*20\/30*-3?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:22 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 21258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3211 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -14*q**2 + 2*q - 4. Let r be w(2). Let k be (-2)\/4*(r\/24 + 3). Let z(c) = c + 9. Let x be z(-10). What is the closest to x in k, 3, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -242, 3, 2, -12140 in descending order.\nAnswer: 3, 2, -242, -12140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1909*h + 1921*h = 84 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*q - 2*o + 7*o, q - o - 15 = 0. Suppose 6 = -q*b + 14*b. Solve 2*w - 6 = -4*i + b*i, i + 3*w - 1 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 51*q**2 + 5*q + 10. Let v be -3 + 6 + -7 + (1 - -1). Let k be s(v). Let a = 295 - k. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 122 - 6?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66\/5 - -584\/45. Let p = 0.3 + -0.4. Let b = p + 0.2. What is the nearest to b in i, -2, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 14. Let p(b) = 147*b - 176. Give -p(j) - 13*s(j).\nAnswer: -173*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 73717.05nm?\nAnswer: 0.07371705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20001855.\nAnswer: 3, 5, 1333457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.789 + 0.211. Let n = 4 + -3. Let v = -3 + n. What is the third smallest value in v, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1772 is divided by 763?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 16*b**3 - 5*b**2 + 5. Let v(w) = 208*w**3 - 64*w**2 + 64. Suppose -13789*o = -13800*o - 55. Calculate o*v(r) + 64*t(r).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.95 + -2. Let v = l + -0.35. Let q = -22.9 + 23. Which is the nearest to -2? (a) -3 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6827, -27376, -61683, -109796, -171763, -247632, -337451, -441268?\n\"Answer: -8*w**3 - 6831*w**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2213031 (base 4) in base 11?\nAnswer: -8049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 12560\/2520)*-9\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217 - 211. Let d be (12\/(-4))\/b*0. Solve 9*o - 4*o + 10 = d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176560950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -90069, -180211, -270355, -360501?\n\"Answer: -w**2 - 90139*w + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -6\/11 (c) 1.97 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 429\/(-6) - (-3)\/(-6). Let u be (-16)\/l + (-16)\/(-9). Let x be (7 + -1)*1\/2. Solve x = 5*m - u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309608009 divided by 309608009\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9) - (-18)\/27. Sort 1, j, -0.5 in ascending order.\nAnswer: -0.5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74765 + 74284 = 37*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 - 5*v**3 - 2 + 3 as t + y*v + n*v**2 + a*v**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -324 - 3\/(-12)*0. Is x\/42*1*-7 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/3 - 1424*n + 380208.\nAnswer: 4*(n - 534)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*w + 345 = -3*a + 57*w + 15*w - 15*w, 4*a = 5*w - 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*s**2 - 523148327 + 523148327.\nAnswer: 519*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3912 and 16.\nAnswer: 7824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 244168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*q**2 - 1933*q + 1933*q.\nAnswer: 53*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.86 (b) -5 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = y - 49, -13*i - 165 = -3*y - 16*i. Calculate the greatest common factor of y and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5252019009?\nAnswer: 3, 36563, 47881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 + u - 4. Let t(z) = -57*z**2 + 72*z - 303. Let c(v) = -18*i(v) - t(v). Factor c(g).\nAnswer: 3*(g - 25)*(g - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 8) to base 13\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*b - 106 - 135, -4*b + 3*i + 304 = 0. Suppose 4*x - 3 - 69 = -v, 5*x = 2*v - b. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/21, 0, -3\/8, 2\/11, 3, 2.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1015629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -18*l - 17. Let w be c(18). Let q = w - -595. List the prime factors of q.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-10)\/(-45) + 52\/9. Solve 0 = z - 3*z + j - k, -5*j = -4*z - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/160 and -83\/128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15683.8 - 15684. Let i = -3.4 - -3. What is the closest to j in i, 2, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1104*b - 1469*b + 910*b + 355*b + 1178*b to t*b + f and give t.\nAnswer: 2078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5 - 97*o**4 - 2788*o**3 - 21612*o**2 - 32832*o = 0.\nAnswer: -48, -38, -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 190\/(-57)*(-12)\/10. Suppose 3*v = 2*o - 1294, -a*v - 11 + 19 = 0. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22761, 22763, 22759, 22743, 22709, 22651, 22563, 22439?\n\"Answer: -d**3 + 3*d**2 + 22759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2. Let f(j) be the first derivative of 0*j + 8 + 1\/2*j**2. Give l(f(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 9*g + 13. Suppose 27 = g*r - 4*r. Suppose -r*f + 93 = -84. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70815 - 70714.6985. Let v = -0.0985 - j. Round v to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -980\/17 - -978\/17. Which is the smallest value? (a) -47\/6 (b) 0.5 (c) -1\/5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogoggggggog. Give prob of picking 3 g.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 4514242?\nAnswer: -4514243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-28) + 31\/4. Suppose 5*c - x = 7. Calculate the remainder when 29 is divided by 0 + 3*(c - -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b. Let g(m) = 6 + 1 - 3*m - 7. Determine g(x(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 6.\nAnswer: -83\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 18 = 2*s - 19*u, -u - 19 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 37*n**7\/42 + n**4\/6 + 13*n**3\/6 - 8*n + 1. What is the third derivative of y(i) wrt i?\nAnswer: 2220*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/45)\/(6*(-4)\/30)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -28*w**2 + 6*w + 2. Let r(x) = 56*x**2 - 14*x - 5. What is -2*r(z) - 5*s(z)?\nAnswer: 28*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 + 155*u + 26. Calculate g(39).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 69?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.37325 centimeters to micrometers.\nAnswer: 453732.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqquuquqqququqqqqq. What is prob of sequence qquq?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-637)*518 + 6\/14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1535762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*1 - sqrt(153))\/sqrt(9))**2 - (5 + (sqrt(17) - sqrt(68)) - sqrt(17)).\nAnswer: -5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/1420 + 2749\/18460. What is the closest to -1 in -17, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.003 in -5, 0.02, -1040, 7\/3, -3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdadmmararer. Give prob of picking 1 e, 1 a, and 1 m.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (77*11\/(-605) + 49\/10)*(-4)\/11?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9612319?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 6*m - 2. Let t be l(5). Let d = 97 + -112. Let z = t - d. Calculate the highest common divisor of z and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000718725 to six dps.\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 3*d + 5. Let t(g) = 2*g - 7. Suppose -4*c - 2*y = -26, -2*c - 6*y + 12 = -4*y. What is the least common multiple of k(-4) and t(c)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 196324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -51*r + 138. What is h(5)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nny when three letters picked without replacement from yyyynyyyyyyynnyyyyyn.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 36179973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + (7 - 7) - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 36 = -7*j. Suppose -20 = -14*m + j*m. Suppose -4*p - m*x + 4 = x, 5*p - 5 = -3*x. Solve p - 21 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8098 + -1506. Put w, 1, 5 in ascending order.\nAnswer: w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a - 2*a - 2*a - 1 + 2 + a**3. Let k be j(-9). Is (k\/8)\/((-18)\/72) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1995, 2002, 2013, 2028, 2047, 2070, 2097?\nAnswer: 2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/120 + (-2)\/(-15).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.01509?\nAnswer: -0.003018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/60*-3)\/(168\/(-1400))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/((-3)\/6 - -1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 0.1 (c) -5 (d) 351\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -27, -5, -4.\nAnswer: -27, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 580673684?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-26)\/(-104) + 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - (3 + -1 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-35)*-7*95\/2. Let f be -19 - 2*(-1)\/(-2). Let t = o + f. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-1\/7)*w**4*w**9*w*w*(w\/w**2)\/w*(w**(-1\/4)*w**(2\/29))**3 assuming w is positive.\nAnswer: w**(10811\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(2\/80). Let c = v - -32. What is the remainder when c is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(20)\/sqrt(10) + 1*(3 + sqrt(2)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 596399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -629*r**4 - 59*r**3 - 4523197*r - 2.\nAnswer: -7548*r**2 - 354*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1003 + 1000. What is the fourth biggest value in a, -2\/7, -0.5, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3 + 1172*y**2 - 9280*y + 18496 = 0.\nAnswer: 4, 578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -14 + 6 + q**3 + 18*q**2 + 12*q + 4*q + 0*q**3. Let y be w(-17). Suppose -y*u + 0*u + 882 = 0. Calculate the remainder when u is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -918, -2978, -6176, -10512, -15986?\nAnswer: -22598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*u + 7. Let g be ((-60)\/35)\/6 + 58\/7. Is g greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*3*3\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 166 (b) 11\/35 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1689497\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 983*c + 1002*c - 164*c + 25688 = 469*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1 = 2*s, -5*s - y - 21 = 9. Let b = s + 10. Solve -19 = -f - 0*r + 4*r, 0 = -b*r - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(171) - sqrt(171)*1 - sqrt(171))*1)**2.\nAnswer: 24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h + 22308 = 647*h for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.5 (c) 3.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3\/5 (b) -11957 (c) -5 (d) 2\/11 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.957 - 0.043. Let f = -46 - j. Put -1, f, 0 in decreasing order.\nAnswer: f, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201121 (base 3) in base 4?\nAnswer: -20101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, 15, 33, 59?\n\"Answer: 4*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-10)))**(-44) assuming l is positive.\nAnswer: l**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6689307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-45*k - 16*k - 11*k) + (-7 + 7 + k)*(11 - 4 + 3).\nAnswer: -134*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 80493 to the nearest one thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4757 is divided by 136?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**2 - 9*b. Let s(r) = r**2 - 1. Let x(w) = j(w) + 6*s(w). Let n be x(-8). Suppose -4 - n = -2*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 7211.541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4691 (base 12) to base 11\nAnswer: 5a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.1 + -0.9. Let k = -28 + y. Let c = -78 - -78.07. What is the second biggest value in c, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -607 (b) 33 (c) -0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -544 - 51*s**2 - 38*s**2 + 3*s**3 + 2*s**4 + 88*s**2 - 5*s**3 - s - 265 to the form b*s + c*s**3 + j + n*s**4 + h*s**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = -6. Let p = -4 - t. Solve -p*q - q = -z + 7, 12 = 3*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(68))\/(-5*sqrt(196)).\nAnswer: 2*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4870 is divided by 2421?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 - 13 + 11)*(8*t + 4*t - 3*t)*(2*t**4 + 2*t - 2*t)*(-1 + 3 + 0).\nAnswer: 3924*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**2. Let s(d) = 5*d**2 + 10*d**2 - 9*d**2. Calculate i(s(j)).\nAnswer: -288*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.29587cm to millimeters.\nAnswer: 972.9587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 14. What is the units digit of c(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhkhkh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(99)*-3*-4 + sqrt(99) + (sqrt(99) - (sqrt(99) - (sqrt(99) - (sqrt(99) - sqrt(99)*-1))*3)))\/(-1*(-4*sqrt(63))\/sqrt(7)).\nAnswer: 3 + 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50103.4 millilitres to litres.\nAnswer: 50.1034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 3*q**2 + q**2 + 5*q**2. Let l(s) = 4*s - 9. Let i(y) = y - 2. Let v be (-2)\/7 + (-16)\/(-7). Let o(t) = v*l(t) - 9*i(t). Determine o(g(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 8:04 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-12)\/9*2166\/48*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 450, 449, 448, 447?\n\"Answer: -x + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 b when four letters picked without replacement from {p: 1, q: 1, h: 2, t: 2, b: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7059*b - 1535. Let k(z) = -1750*z + 384. Let a(j) = -2*h(j) - 9*k(j). Differentiate a(u) wrt u.\nAnswer: 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldqnnfjd. Give prob of picking 1 j and 2 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -5, 0, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*p - 3*p**3 + 320 - 5*p**3 - 31*p - 2*p**2 + p**4 + 9*p**3 - 2*p**3 to r*p**3 + l + b*p**4 + x*p + v*p**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (528\/(-80))\/(51\/(-170))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2653998?\nAnswer: 2, 3, 442333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 682283.7 seconds?\nAnswer: 189.52325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (41478\/(-456258))\/(32\/22 + 0)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -4*(5 + (-56)\/16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 3*m - 154*m**3 + 245*m**3 - 3*m - 93*m**3.\nAnswer: -2*m**3 - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133 - -147. Determine p so that 120*p + 50 + 75*p**2 + 2*p**4 + 12*p**3 + 11*p**2 - m + 20 + 12*p**3 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51337\/9 + -5715. Let p = d + 2833\/261. What is the third biggest value in 5, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 8 + 6. Suppose 12*q + 46 = -t. What is the remainder when 70 - ((3 + 5)\/q + 4) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r = -102*r + 10950. What is the highest common divisor of r and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -92. Let u(b) = b**3 - 5*b - l*b**2 - 3 - 4*b + 14*b. Determine u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from {e: 7, x: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8158533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + y = -4*y - 13, -3*g = -2*y - 8. Which is the third smallest value? (a) g (b) 1 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 8, s: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2 + 2*h**2 + h**2 - h**2 - 6*h**4 wrt h.\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-8) + (-1083)\/12. Let b = -46 - z. Suppose -91 = -5*h - y + 35, -2*h + b = -5*y. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 4. Let f(g) = 3*g - 37. Let y be f(14). Let w be t(y). Solve -w - 3 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19520 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 1321?\nAnswer: -7\/1321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10027119 is divided by 3342372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125.79 - 239.79. Is y equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 5*k**2 - 6*k - 1. Suppose 10*f - 7 = 53. Let d be a(f). Is -6\/25 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 - 36*w - 324 = 0 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 4. Let a be n(3). Suppose a = 3*b - 22. Let v(q) = -12*q - b*q + 15*q. Calculate v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317070250?\nAnswer: 2, 5, 5268281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 1. Let v be j(3). Suppose 0 = -4*k, 2*k = c - 0 + v. Let y be -6250*4*c*-38. Round y to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = 66*n - 215 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 + 198. What is the highest common factor of 171 and o?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92.5 - -92. What is the smallest value in -0.3, 0.4, a, -0.06?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*z**2 - 24*b**3*z - 2*b**3 + 8120*b**2*z**2 + 564*b**2*z - 2*b*z**2 wrt z.\nAnswer: -2*b**3 + 16240*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -14. Suppose -g + 2*u + 19 = 0, 3*g - 3*u = 11 + 34. Is g equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3086 in -4, 3\/2, -0.023, 1\/10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.97195 decades to months.\nAnswer: 2636.634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, -0.12, -11 in descending order.\nAnswer: 3, 0.1, -0.12, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/8 (b) 7\/4 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198408887 to the nearest integer?\nAnswer: 14086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -135.8 from -9.\nAnswer: 126.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1101, -1103, -1105, -1107, -1109, -1111?\nAnswer: -1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 5, i: 1, p: 1, s: 1}. Give prob of sequence ms.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m - 297383 = -297961 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*b = -7, 3*p + p - 4*b - 16 = 0. Suppose 4*m + 14 = 2*v, p*v + 5*m - 9 = 2*m. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -100163?\nAnswer: -40065.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/120 + q**5\/30 + q**4\/8 + q**3\/3 - q**2. Let g be b(3). Suppose 2 = 5*h - 8. Solve r + g = -h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 31*t**3 - 5*t + 4. Let a be g(-5). Is (0 + -2)*a\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-2*sqrt(900)).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -737487 (base 9) in base 13?\nAnswer: -1247b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50247 is divided by 16667.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -9. Let c be (6\/8 + d)*4. Let -28*j**c + 30*j**3 - 8 - 3*j - 5*j + 2*j**2 = 0. What is j?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 6*y - 16. What is the lowest common multiple of w(-10) and 4?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/484 and 65\/14127888?\nAnswer: 1709474448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 0*q + q**4 + (-2*q**3 - 3*q**2 + 3*q**2)*(-3*q + q + 3*q) - 7*q**4 - 4*q**4 + 2*q**4.\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 26071 + 0*o - 47408*o**2 - 26071 + 0*o as g + n*o**2 + v*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/21, -1\/13, -0.5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 4. Let p(u) = -u - 3. Let d(o) = 4*p(o) + 3*w(o). Let v(z) = 5*z + 5. Calculate 3*d(b) + v(b).\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from {r: 1, c: 7, q: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 + 2*b**2 + 3*b - 2. Let q be x(-4). Suppose 2*n = -q*n + 35. Calculate the smallest common multiple of 1 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168831851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and -55861.977584.\nAnswer: -55850.977584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**4\/12 - 25*k**3\/6 - 27*k**2\/2 + 15*k + 4. What is the units digit of x(32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -5 (c) 1 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 4)*(112*b**2 - 4 - 6440*b + 6440*b) as w*b + n + z*b**2 and give z.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 851925 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*d**2 + 0 - 16\/7*d.\nAnswer: -4*d*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 6*t - 1. Suppose -2*i = -2*l - 12, -2*l + 5*l = -5*i - 2. Let d be 5\/((i + -1)*1). Calculate the smallest common multiple of 6 and m(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 38 = -2*v - 12*v, 4*v = -3*k - 6*k + 2*k + 47 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -9. Let g = y - -20. What is the first derivative of -2 - 4*c**4 - g - 17*c + 17*c wrt c?\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 10:39 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408983 and 31995.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4896 + 5345. What is the remainder when n is divided by 62?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751 > 2759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 365608\/7 + -52145. Let p = t - 85. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 168334\/4993?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**8*z*z*z*z*z**(5\/4)*z*z*z\/(((z**3*z*z)\/z)\/z)*z**(5\/3)\/z assuming z is positive.\nAnswer: z**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 292 and 3504?\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -0.03, -352, -4, 0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 158856132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594 and 14428.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3716.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**8\/1008 - n**7\/14 + 17*n**6\/36 - 25*n**5\/18 + 55*n**4\/24 - 41*n**3\/18 - 24*n**2 - 9*n. Factor i(f).\nAnswer: (f - 41)*(f - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -33, -4, -2 in ascending order.\nAnswer: -33, -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - -219. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/12 + 7*l**3\/6 + 48*l**2 - 47*l + 1. What is the derivative of i(n) wrt n?\nAnswer: -2*n + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-78))\/(-7)*2.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 118736, 232772, 346808, 460844?\n\"Answer: 114036*z + 4700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -719 minus 1?\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1634245 (base 9) in base 2?\nAnswer: -11011101110011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115005808 - -115006013.000109. Let i = -296 - -501. Let x = p - i. What is x rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/18 + 4\/9. Suppose -1\/2*s**2 + 0*s + 0 - b*s**3 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i**4 + 172*i**3 - 330*i**2 + 88*i + 56 = 0.\nAnswer: -14, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 11*l**2 + 13*l - 29. Let r be i(10). Is (-24)\/r*6\/(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83957*f + 41990*f + 2 + 41973*f - 2.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 40346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1989 divided by -663.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + ((4 + sqrt(27))*-3)**2.\nAnswer: 216*sqrt(3) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 1 - 4*w + 4.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6814\/(-5))\/((-3)\/15) is divided by 213.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 21447\/108 - 6\/24. Which is smaller: 194 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 11*z + 14. Let t be d(-10). Calculate the remainder when (t\/(-90))\/(2\/(-20)) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52697994053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-22) + 12\/(-66). Suppose 0 = -4*j - 5*y - 0*y + 20, -2*y = a. Solve d + 12 = j*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90123 - 0.122.\nAnswer: 90122.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.65 + 1.65. Sort -0.3, x, 3\/20, 13 in decreasing order.\nAnswer: 13, 3\/20, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 6*j + 837. Let c be w(0). Suppose 2*z - 279 = z - 2*n, -3*z = n - c. List the prime factors of z.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 + 96\/10. Let f be 207\/15 + 2\/j. Solve 3*l - f + 2 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 5410607.\nAnswer: 38\/5410607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/114)\/((-71)\/426)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (2 + 1 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*x - 378*x = 5*c - 7, -4*x = -4*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1.1. What is the nearest to i in 4, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42612 or -42581?\nAnswer: -42612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38556.3 rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -472 + 475. Let o(h) = 4*h**2 - 5*h**2 - 6 - 8*h**u + 4*h**2 - 4*h**2 + 9*h**3. Determine o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18\/59719 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:31 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02734 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -110 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.00467 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1034992 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-1 - -119) + (6 - 35\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, and 1 f when three letters picked without replacement from kfwma.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 203454?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, 1 y, and 1 m when four letters picked without replacement from {q: 1, c: 1, y: 1, v: 1, m: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1\/(5\/36 + (-50)\/(-450)). Let i(a) = a - 1. Let h(b) = 4*b + 3. What is u*i(y) - h(y)?\nAnswer: -2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 779763563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4104 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 15. Let i be 1 + 0 + 12\/o. What is the derivative of -i - j**3 + 0*j**3 + 2 wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*y - y + 10, -y + 2*j = 1. Suppose y*l - 7 - 28 = 0. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-20)\/300)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18588 and 54.\nAnswer: 167292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k + 300 = 0. What is the greatest common factor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 1. Let w(f) = 1 + 2*f - 8*f + f. Let v(p) = -11*p + 3. Let c(z) = 6*v(z) - 13*w(z). Let l be c(10). Determine u(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 3689?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 3, -4, -53 in increasing order.\nAnswer: -53, -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 5*y**2 + 0*y**2 + (17*y - 3 + 1 - 14*y)*(2 - 2*y - 2).\nAnswer: -4*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 972.768 months?\nAnswer: 81.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450664.59 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2112 rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 11*v**2 - 12*v**2)*(-2*v**2 + 2*v**2 + 2*v**2)*(-2*v + 0*v + 5*v)*(1 - 1 - 8).\nAnswer: 960*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - o - 2. Let c be i(-3). What is the highest common divisor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 - 18*f - 73. Calculate d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2144773, 2144775, 2144777, 2144779?\nAnswer: 2144781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 - 0.2. Let o = 3.02 + y. Let r = 2 - o. Put 0, r, -3\/4 in ascending order.\nAnswer: r, -3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(153)*1)**2*-6 + 5*(-1 + sqrt(153))) + 4*(-4 + sqrt(153) + (sqrt(153)*2 - sqrt(153)))**2 + 0.\nAnswer: -162*sqrt(17) + 666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 34*v - 79. Let f(z) = -6*z**2 + 171*z + 396. Let l(w) = 4*f(w) + 21*q(w). Factor l(r).\nAnswer: -3*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*n + 201 + 27. Is 10 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34644 is divided by 100?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00674 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/16*((-5)\/(-45))\/(-3*(-19)\/1710)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y**2 + y**2)*(-3 - 5*y + 4 + 7*y).\nAnswer: -4*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/10039 and -1\/3.\nAnswer: 30117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/11)\/s*s\/s**(1\/28)*((s\/s**(2\/17))\/s)\/s**(-9\/2) assuming s is positive.\nAnswer: s**(24663\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 53*l**2 + 726*l + 50055. Calculate d(-56).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 3*o**2 + 77 + o - 3*o**3 + 35 + 4*o - 28 in the form b*o**2 + a*o**3 + n + w*o and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29245 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49503.\nAnswer: 3, 29, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - -48. Suppose 69*s = r*s + 48. Let z = 59 - 26. What is the least common multiple of s and z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12626273 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 0 + 22\/3*c**4 - 16*c + 26\/3*c**3 + 18\/5*c**5 + 2\/21*c**7 + 6*c**2 + 14\/15*c**6. Factor w(u).\nAnswer: 4*(u + 1)**4*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1744*l**3*o**3*w - 6*l**3*o*w + 10*l**3*o - l*o**2*w - l*o**2 wrt o.\nAnswer: -10464*l**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**6\/40 + n**4\/6 - 7*n**3\/6 - 7*n. Let b(l) be the second derivative of o(l). Differentiate b(d) with respect to d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + ((-19 - -17) + -21 - -65).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 10:36 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000104455 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 3*g**2 + 7*g - 12. Let f be j(-5). Suppose d = -0*d + 2. Which is the closest to d? (a) -0.3 (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1, 5, -1\/3, -1755?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**5 + n**3 - n**3)*(-3 + 0 + 4) + n**4 - 153*n**3 - 37*n**5 + 153*n**3.\nAnswer: -38*n**5 + n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 8*g - 1. Let l be r(7). Let o = 91 - 103. What is the units digit of (l\/(-4))\/(o\/160)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*j - k, -5*j + j - 1 = k. Suppose w - 12 + 0 = j. Solve 8 = -f + 3*a + 21, 0 = -4*a - w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 42.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(833) + 1.\nAnswer: 3 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15678\/(-3015)*(-7 - (-2 - 0)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from ttttktkkkt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 11*x - 8 = 0. Solve 5 = u - x*d, 0 = 5*u - 4*d - 6 + 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/30 - u**2 + 2*u + 16. Let l(s) = 8990*s. Calculate l(k(p)).\nAnswer: 17980*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-67)\/((-8442)\/672)*18?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*t + 66 = -99*t. What is the remainder when 87 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 4*r - 5. Let s be ((-612)\/48 - -12)\/((-3)\/20). What is b(s)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2309 at most -23.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3 - 876*j**2 + 38309*j - 107070 = 0. Calculate j.\nAnswer: 3, 43, 830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 606 = 168. Let v = 22 - h. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 783 + -625.1. What is y rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) 0.1 (c) 2\/15 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-40 - -2)) + -2. Suppose -4*f - y = -5*p, p - 19 = 4*f + 4. Are f and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p - 38*p - 44 + 22 + 23 - 2*p.\nAnswer: -26*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12170309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 + 9898500*j + 24495075562500 = 0 for j.\nAnswer: -4949250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124957?\nAnswer: 7, 17851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + 27\/(-6))*(45 + -1). Suppose -q + 13 = c. Is -9 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 x, and 1 d when three letters picked without replacement from {g: 7, d: 2, p: 1, x: 3, q: 1}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 + 2*f - 56 + 50 + 110.\nAnswer: 2*f + 259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13240996*g**2 + 94859 + 13240994*g**2 - 94859.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 380270722 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 221091546 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 706532 divided by 3.\nAnswer: 706532\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1283 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*n - 7 = 0, -9 = -3*r - 5*n + 3. Suppose -14*o - 72 = 10*o. Let t be 8 + (o - r) - 1. Solve -t*l = -3*p + p + 30, -4*l + 9 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -276? (a) 4\/3 (b) 0 (c) 4 (d) 1\/6 (e) -37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**19*((g**(-2\/5)\/g)\/g)\/g*g*g)\/(g**(-4\/11)*g**20\/g) assuming g is positive.\nAnswer: g**(-57\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -227\/3570 and -28\/3.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 11*i + 2. Let h(p) = p**2 - p - 1. Suppose d = 3*w + 18, -6*w = 2*d + 41 + 7. Determine d*h(a) - k(a).\nAnswer: -a**2 - 8*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -66*k + 41. Is i(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0737667 times 0.04?\nAnswer: -0.002950668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*g + 2, 0 = -3*b + g - 0 + 1. Suppose 4*j - 73 - 295 = b. Suppose j = o + 3*o. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6732 a multiple of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-64)\/(-20)))\/((-35)\/1008*-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4122758.\nAnswer: 2, 2061379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 8:58 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2. Let r(d) = 302*d - 607*d + 3 - 76 + 303*d. Calculate y(r(b)).\nAnswer: 16*b**2 + 1168*b + 21316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -386766909.\nAnswer: -386766914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -9) + (9 - (-3 - (2 + 0) - -7))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 - (-2)\/3*-6 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/186 + (580\/6 - (3 + -6 + 8))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 14, 0.1, 0, -1\/2 in increasing order.\nAnswer: -1\/2, 0, 0.1, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-71 - 4261) + -3*-1*1. Let q = w + 6428. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3779 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572823 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 - -109. Let c(y) = -2*y + 42. Calculate the remainder when c(v) is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 382*h - 43463. What is j(114)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327 + -3 + (17 - 6)?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 395 and 390295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -106, -172, -230, -262, -250, -176?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1859993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = -6. Let c be 15 + -14 - (-2)\/2. Solve r = c*z - 0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*a + 8. Let h be (a - 0)*1 - -10. Is 7 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let j = -102.8 + 103. What is the third smallest value in j, 1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c + 2. Let k(a) = -3*a - 58. Let d be k(-13). What are the prime factors of j(d)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y + 7. Let w(g) = -1. Let k(o) = -f(o) - 5*w(o). Calculate k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290.5263*0.5.\nAnswer: -145.26315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68374 and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -291 - -291. List the prime factors of 4\/24 - k - 19945\/(-30).\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4133070107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 240 = 25*v. Factor -11*s + 84*s - 4*s**2 - v - 21*s.\nAnswer: -4*(s - 12)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*m = -116*m - 6. Suppose -m*k = -11*k + 145. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/6)\/((-3)\/(-72)). What is the common denominator of h\/(-792) - (-3)\/(-2) and 2064\/(-32)*2\/9?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 12:58 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 350.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3*i + 2. Let w be b(2). Let n = w + 10. Suppose 0*g = -3*g + 6. Solve g*a - 12 = -n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -651, -2755, -6261, -11169, -17479, -25191, -34305?\n\"Answer: -701*c**2 - c + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 73*o**2 - 24*o - 25. Calculate v(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 13*g**3 - g**2 + 9*g + 49. Let k(r) = 6*r**3 + 4*r + 25. Give -4*d(t) + 9*k(t).\nAnswer: 2*t**3 + 4*t**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2\/1 + -4). Let z = 0.04429 - 0.00429. Which is the fourth biggest value? (a) -0.1 (b) -3 (c) z (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 951\/4 + -238. Let n = -2\/3 + 0. Which is the closest to u? (a) 2 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 436210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 740.\nAnswer: 1\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 277701428*q**4 - 295053745*q wrt q?\nAnswer: 3332417136*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s + 221. Let g be o(28). Let v be (4\/g)\/(23\/((-621)\/12)). Solve v*z - 21 - 10 = -5*b, -4*b = -z - 18 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 11*f**2 - 13*f - 3. Give p(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*g + 5 + 13 = 0, 5*c - 24 = -2*g. Solve 0 = -d - 5*v + 14, 0 = d + 3*v - c - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + 4*h + 5. Let p be v(-1). Let n(s) = s**3 - 3*s**2 - 5*s + 3. Calculate n(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-664)\/1743*(-56)\/1*9\/(-4)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 703970991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 8*j - 12. Let s be 1*(-11)\/(-2)*2. Let f be b(s). Suppose 2*g = 2*w - 110, w + 5*g = -f + 70. Calculate the remainder when w is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -23*p - 160. Let w(b) = 12*b + 81. Give -3*o(l) - 5*w(l).\nAnswer: 9*l + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/7 + 20*k**3\/7 - 67*k**2\/7 + 48*k\/7.\nAnswer: -k*(k - 16)*(k - 3)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 229. Let o = 8 - u. Calculate the greatest common divisor of 43 and o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 9*b - 220 + 295. Solve -2*y + 20 = 4*n, -8*n + 9 = -b*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**14\/((q**(-23)*q*q*q)\/q*q)*q**(4\/3)\/q**(5\/4) assuming q is positive.\nAnswer: q**(409\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17592, 35185, 52778?\nAnswer: 70371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Let z(u) = -u**2 - 9*u - 9. Let a be z(-7). Solve -2*o - 10 = -2*k - v*k, -a*k = -3*o - 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6552489\/140 + 314994\/7. Let g = 1800 + t. What is the common denominator of 151\/6 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1349*a**2 + 6*a - 3058. Let n(i) = 2699*i**2 - 13*i + 6117. Let y(b) = -5*n(b) - 11*r(b). What is the derivative of y(m) wrt m?\nAnswer: 2688*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (3 - (-16)\/(-5)). Let n = 29\/8 - 741\/200. What is the third biggest value in 3, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from yyyyyyyyyyyysyyyyyyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501618?\nAnswer: 2, 750809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 48?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4150646.\nAnswer: 2, 2075323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-1*8 - -2). Let n(l) = l + 6. Let h be n(-5). Put h, b, 0.5 in ascending order.\nAnswer: b, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.99974 + -34. Round y to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -449 - -117. Does m = -333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6658 is divided by 600.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*o - 763 = -11176 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3 - 4*y - 8 + 0. Calculate the remainder when 21 is divided by i(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/1 + (2 - 1) is divided by 18\/8 - 9\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9520, 19044, 28570, 38098, 47628?\n\"Answer: r**2 + 9521*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 7 = -2*v, 4*b - b = 4*v - 11. Let c(m) = -1337499*m**3 - 2*m**2 + 2*m - 4. Let r be c(v). What is r rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 902 + -898. Solve s = 8*b - 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/(-8) - 205\/(-20) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 169 + -5 + 6. Suppose 10 - a = -4*j. What is the least common multiple of 5 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-246)\/(-4)*1\/(13\/130*-15)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 6*o. Let y(l) = l - 1. Let g(w) = -6*y(w) + z(w). Let i be g(0). Let d = 14 - i. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**4\/8 - 25*v**2\/2 - 21. Let b(u) be the second derivative of g(u). Let s(o) = 5*o - 4 + 4. Give s(b(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m**3 - 37*m**3 + 68*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3754*j + 3551. Let z(v) = 3756*v - 3556. Let k(b) = 5*r(b) + 4*z(b). What is the first derivative of k(a) wrt a?\nAnswer: -3746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99784476 and 2772?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 25450.5?\nAnswer: 25438.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 465\/62*64\/240\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 424036997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 19*u = 160. Is 2 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.37543ng in micrograms?\nAnswer: 0.07837543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p = -2*p + 22*p + 120 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 237?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 4 = 13*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 3*l + 37, 80*w + l = 85*w - 86 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*a + 65*w, -1381*w = -4*a - 1386*w - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 greater than 506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v + 38*v = -543. Suppose 0 = -4*t - 4*w + 184, 5*t - w - v - 61 = 0. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -29.\nAnswer: -29, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4172*n**2 - 2349*n**4 - 664859*n**3 + 664859*n**3 wrt n.\nAnswer: -56376*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273284187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7966549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*o + 20 = -0*o, 2*o - 14 = 5*u. What is the units digit of 1*(3\/3 - u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 7717, 369 in descending order.\nAnswer: 7717, 369, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -3. Let i be ((-8)\/(-170))\/(10\/(-25)). Sort t, -1, i.\nAnswer: -1, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1091 + -1091.2. Let p = -0.69 + 4.69. Let l = 11.9 + -12. Which is the nearest to l? (a) 2\/17 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-56)*2 - (108\/28 - 5). Let a(o) be the first derivative of -8\/3*o + 4\/9*o**3 - 12 - 2\/3*o**m. Factor a(x).\nAnswer: 4*(x - 2)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8994 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27797*f**3 + 33958*f**2 wrt f.\nAnswer: -166782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + -179. Let d = -97 - m. Suppose -d = 5*j - 118. Solve 4*p - j = 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1249749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0520305 to three dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q - 8 = 0. Suppose -2*g - 15 = 3*c + 1, -2*c = -q. Is g\/(-77) + (-1)\/(11\/(-19325)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 44 = -4*h, 36 = -3*h - 12160*p + 12163*p for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 1. Let l be i(2). What is the second derivative of -91*o + 98*o - l*o**4 - 4*o**4 wrt o?\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9079 + -9102. Which is bigger: f or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/(-630) - (-110)\/(-35)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 i, and 1 j when four letters picked without replacement from wjlljkjjjjlijkjjjij?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -2*o + 57. Suppose -12*f - 4 = 44. Is 9 a factor of (3 + o)*(-2)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20695043*o**2 + 73051582*o wrt o?\nAnswer: 41390086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from ddddddddrdddddwdddd?\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrv when three letters picked without replacement from {r: 1, s: 5, a: 6, q: 2, v: 5, x: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24 and -6805473797510?\nAnswer: 6805473797534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 855726 divided by 3.\nAnswer: 285242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 543000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, q: 1, j: 7}. What is prob of sequence jj?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632 divided by 6?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -2. Let o(p) = 11*p - 66891 + 133785 - p**2 - 66910. Calculate o(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57960 and 54.\nAnswer: 173880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 54?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -10. Let t(b) = -914*b + 1645. Let z be t(1). Calculate the greatest common factor of i and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (2 - 5) - -27. Suppose -12*x + 11*x = -f. Let p(i) = i**2 - 3*i + 2. Let j be p(-5). Calculate the highest common divisor of j and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/5793512 and -21\/64.\nAnswer: 46348096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 - 39*g**4 + 13*g**4 + g**4 - 6*g**2 + 154*g - 154*g + (-2*g**3 - g**3 + 2*g**3)*(2*g - g - 2*g).\nAnswer: -20*g**4 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 6*s**2 + s - 1. Let q be z(6). Suppose -4*f + t = 203, -4*f - 4*t = 183 + q. Let h = -0.57 + 0.47. Are f and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 9070711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 462?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/8*(-64)\/(-16). Let z be ((-10)\/8)\/((-2)\/8). Solve 5*g - 10 = -5*v, -4*g + k*v - 8 = -z*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1176)\/2548 - 232\/(-52)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -9 + 11. Suppose u = t*w - 8, -w + 8 - 1 = u. Suppose -165 = -w*n + 95. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icgigzmd. Give prob of picking 1 i and 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 533111 + -143351?\nAnswer: 345320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)*i)**39\/(i**(2\/5)\/i)**(-1))**(-17) assuming i is positive.\nAnswer: i**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 34*l - 96. Let g be z(-30). Let x(d) = -6 + 31*d**2 - 51*d**2 + g*d**2 + 3*d - d**3. Determine x(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*g - n + 19, -9 = -4*g - 3*n. Let v(k) = -k**3 + 6*k**2 - 1. Let j be v(g). What is the closest to 0.1 in -4, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -302, -390, -478, -566?\n\"Answer: -88*u - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zio when three letters picked without replacement from oozofiz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18578112 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12614091*c**3 - 12614091*c**3 - c - 3164*c**4 - 2 in the form d*c**3 + o*c**2 + k*c**4 + h + b*c and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, r: 1, d: 2, v: 8, j: 1, m: 2}. What is prob of sequence hvmj?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 143.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 13 = g + 11, 2*x + 185 = 2*g + 201 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 3:13 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 91*l**2 - 2075*l + 25. Calculate h(43).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 9*z - 4*z. Let a = z + 33. Suppose a*y = -2*n + 4*y + 18, 0 = -4*n + 5*y + 48. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 + (-5 - -4 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*q - 62*q + 15*q)*(0 + 2 - 4) in the form t*q + i and give t.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-17)\/(-4) - 4)*8. Suppose j*d = d + 48. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 0*s + 2*b - 16 = 0, 5*b = 2*s + 31 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -117*f - 3. Let v be y(3). Let s = -245 - v. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/2 of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-22)*35\/35)\/(-9*(-12)\/99)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**2 + 2*v + 2. Let d(t) = -7*t**2 - 2*t - 1. What is -4*d(z) - 3*o(z)?\nAnswer: 4*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 3*t. Let x be (6\/(-2))\/((-63)\/(-84)) - 1. Let v be (-4 + (3 - 1))*(x + 7). Calculate u(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(31*l**4 - 99*l**4 - 117*l**4).\nAnswer: 185*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(13) + sqrt(13))**2 - sqrt(13))*-4 - (sqrt(13) - (sqrt(78)*1)\/sqrt(6))) + -1 - (sqrt(1872)*5)\/(sqrt(4) + sqrt(196) + -3*sqrt(196)).\nAnswer: -245 - 542*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.81 + 5.81. What is the second biggest value in -0.4, 0.1, -3\/2, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 449742 and 2208?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -256.6071715 to one dp.\nAnswer: -256.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5 - 2*m + 0 + 2. Let a be (-26)\/4 - (-1)\/2. Is y(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7*x + 15 = -3*x, 20 = 4*x. Let u = 0.06 - 0.26. What is the nearest to -1 in t, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 192\/30 + 2\/(-5). Suppose -m = -a*m + 160. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 70. Let p(b) = -2*b - 185. Let w(s) = 6*f(s) + 2*p(s). What is w(15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 12*g - 2. Suppose 2*w + 6 = -4*y, -3 = 2*w - 0*w + 3*y. Suppose 0 = -2*k + 3 + w. Give r(k).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5544 - -0.1\nAnswer: -0.4544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1.49, -4\/3, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 81 - 80 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/((-5 - -1) + 3). Let w be (-9)\/(-12) + (-1)\/(-4). Suppose -g = -2*j - w. Solve -5*i - 3 = j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 10*m**2 - m + 10. Let d be j(10). Let n(i) = -i + 3. Let y be n(d). Suppose y*t - 143 = 73. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 442559 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -191 + 1582?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oorooooo.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tffttttftttfffftttt. Give prob of sequence tff.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mopppmpopqms. What is prob of picking 2 p?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 - 267\/(-15). Let w(f) = -f**3 - 1 - 5 - f**3 - 5*f - f**2. Let p be w(-4). What is the highest common factor of c and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 z, and 1 h when three letters picked without replacement from {z: 3, e: 4, s: 1, h: 1, k: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 614 + -531. Find the second derivative of u*g**2 + 57*g - 61*g**2 - 193*g**2 - 18 + 17 wrt g.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82419, 164835, 247251, 329667, 412083?\nAnswer: 494499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 367407 - -350?\nAnswer: 367757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 341*a - 121. Let h(s) = -17*s + 6. Give 121*h(g) + 6*q(g).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13581 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1470 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-87)\/27 - 8\/(-36). Let r = 13 - a. Let h(j) = -16 + r + 2*j. Let o(c) = c. Give h(o(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37496?\nAnswer: 2, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/3 - 62*v\/3 + 440\/3 = 0.\nAnswer: 11, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 11:18 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -4, -8\/21, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 + 2*j**3 + 2*j**3 + (7 - 7 - 2*j**2)*(4*j - 3*j + j) + (-1 + 4 - 1)*(4*j**3 + 0*j**3 + 0*j**3).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.6 + -0.6. Let d = h + -10. What is the third biggest value in 1, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -27. Let a = 38 + l. Let f be ((-9)\/12)\/((-3)\/2). What is the second biggest value in a, -5, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110386 + 110409. Let s = 155 - 67. Calculate the remainder when s is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 567 (base 13) to base 3\nAnswer: 1021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 18336074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 630617 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104622 - 3?\nAnswer: -104625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 365972 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 4*h + 44. Let b = h + 29. Calculate the smallest common multiple of b and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffyf when four letters picked without replacement from {f: 5, y: 14}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532, 724, 916, 1108, 1300, 1492?\nAnswer: 1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 291700 and 700080.\nAnswer: 3500400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -11, 6, 39, 94?\n\"Answer: f**3 - f**2 + 3*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 291 and 78279?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 35. Determine r(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(56) - -1*sqrt(56))\/sqrt(4))\/((sqrt(98) - sqrt(2))*-6))**2.\nAnswer: 28\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 314186798 to the power of 1\/4, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 4510 = -12*k. Calculate the remainder when k is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (245*b - 107*b - 121*b)*(-5 + b**4 + 0 + 3).\nAnswer: 17*b**5 - 34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320037 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3244 - -2.27. Let q = u - -0.05440738. What is q rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03936 - -0.01758. Round n to three dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1, 2 in decreasing order.\nAnswer: 2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459588?\nAnswer: 2, 3, 38299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**3 - 25*g**2 + 43*g - 31. Calculate i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (303\/15)\/(5\/25). Let v = 136 - g. Let j(p) = -5*p + 2. What is the remainder when v is divided by j(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 33*k + 54 = 0. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2. Let w be 1\/(3 + (-42)\/15). Let x(p) = p + 2. Let v(t) = w*c(t) + 4*x(t). Is v(2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/((-6)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(9)\/sqrt(3) + sqrt(6)\/sqrt(2) + -1 + 2*(sqrt(3)*-1 + 1))*4)**2.\nAnswer: -96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10 - 4 = 0. Let d = -223 + 220. Which is the nearest to -0.1? (a) d (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403209*-2\nAnswer: -806418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16067*h**2*i**4 + 4*h**2*i + 2737*h*i wrt i.\nAnswer: -192804*h**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 + -695335\nAnswer: -695333.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 189285821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.004 - 0.196. Which is the nearest to x? (a) 1 (b) -2\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -28. Which is smaller: n or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24636001 divided by 123799?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**4 + 8*m**3 + 16*m**2 - 8*m - 12 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 68688 = -2*y, 2*d = -4*y + 71888 + 65482. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -136816402, -273632805, -410449208, -547265611, -684082014, -820898417?\n\"Answer: -136816403*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -2 - -1 - 55. Suppose -279 = -15*f + 1536. Let x = f + o. What is the highest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360300 rounded to the nearest 10000?\nAnswer: 2360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 + (-3 - 0) - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 11)\/(-1 - 0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - 176*j**2 - 21214*j - 319. What is p(156)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845424918.\nAnswer: 2, 3, 13, 1204309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/76)\/((-140)\/1330). Solve p*c + 110*w - 40 = 115*w, 0 = -w - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207 - -200. Are 4 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 2*r + 7. Let v be f(0). Solve -3*c - 5*i = -v*c - 5, -2*i = 5*c - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 q, and 1 t when four letters picked without replacement from {e: 1, d: 4, k: 1, t: 2, r: 1, q: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*f**2 + 9*f**2 - 8*f**2 + 17*f**2 to the form v*f + z + k*f**2 and give k.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 - (137 + -129).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -998*b*m**2 - 16*b*m + 1142*b + 5565*m**2 - 2*m + 34 wrt m.\nAnswer: -1996*b + 11130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p**3 - 9*p**2 - 2*p. Let s(u) = -u**3 + u**2 - u. Let w(h) = -l(h) + 2*s(h). Find the third derivative of w(f) wrt f.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 14948.\nAnswer: 59792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(3\/5))\/h)\/h*h*h*h\/h**(-2\/27)*h)**(-1\/5) assuming h is positive.\nAnswer: h**(-496\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207489976 is divided by 192.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 566 = 4*o + 7*i, 0 = -o + 5*i + 129. Solve 0 = -146*k + o*k + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 3*u**3\/2 - 10*u**2 - 8*u. Let i be r(8). Suppose -14 = l - i. What is the remainder when 149 is divided by l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 558\/7 - 58\/7*g**2 - 512\/7*g + 12\/7*g**3.\nAnswer: 2*(g - 9)*(g - 1)*(6*g + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/7)\/k**6*(k\/k**6*k)\/((k\/(k*k*((k**(2\/7)\/k)\/k*k)\/k))\/k) assuming k is positive.\nAnswer: k**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 3*t**2 + 3*t**2)*(-t + 5*t - 2*t) + (-4 - 4*t + 4)*(-118*t**2 + 13*t**2 - 141*t**2).\nAnswer: 986*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*z. Suppose -5*a - 38 = -4*b - z*a, 0 = -2*b - 3*a + 30. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*m**3 + 18*m**3 + 3*m**4 + 3*m**5 - 831*m + 831*m = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4995\/14 - -360. What is the common denominator of b and 57\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35)\/(2\/392*7). What are the prime factors of -15 + (1 - -7) - u?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64 times 7?\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 8*p**3 - 2*p**3)*((0 + 0 + 1)*(-5*p + 4*p + 3*p) - p + 7*p - 2*p).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/3 + 659*i**4\/3 + 110206*i**3\/3 + 179742*i**2 + 250155*i + 106929 = 0. Calculate i.\nAnswer: -327, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -182, 69, 488, 1075, 1830, 2753, 3844?\n\"Answer: 84*i**2 - i - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-131)\/1703 + 206\/(-26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -226360.499991 - -226359.1. Let x = 37 + -35.6. Let g = m + x. Round g to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 9*s + 16. What is the remainder when g(10) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*37\/(6993\/18)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-34)\/(-136))\/(11\/(-55)))\/(1\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23827, -47646, -71449, -95236, -119007?\n\"Answer: 8*y**2 - 23843*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.16 (b) 0.19 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 23*c**2 + 58*c + 190. Determine z(-25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 77\/49 + (2 - (-11)\/(-7)). Let t(k) = -44 - 3*k - k - k**v + 42. Let b be 10\/(-4) - (-7)\/(-14). What is t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 - 43*b**2 + 7*b - 28. Determine u(14).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2145 - -2147. Let b be (5\/((-10)\/(-8)))\/2. Solve -t + 5*r - 2*r = -3, -k*r = b*t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 0 + 7\/12*h**3 - 1\/12*h**4 - h**2 - 1\/40*h**5 + 77*h. Suppose i(y) = 0. Calculate y.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*r + 716*r + 205*r - 75*r + 368*r as x + l*r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25383\/2 + 12691. What is the nearest to n in -4, -8, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-9\/4)*m**10)\/(m**(-8)\/(m\/(((m**(-1\/18)*m)\/m)\/m)*m)))**(1\/9) assuming m is positive.\nAnswer: m**(875\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 3*d**2 + 131*d - 182. Calculate u(11).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 25224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = -3*l. Let f = -2 - l. Suppose -44 = -b - f*b. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - -374*(-4500)\/(-40)?\nAnswer: 42073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11137699 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19496.12 tonnes in micrograms?\nAnswer: 19496120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -59*j**5\/30 + 348*j**2. Let s(v) = 6*v**2. Give s(t(w)).\nAnswer: 83544*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1581\/(-136) - (10\/(-16) - -1). Let o(b) = b**2 + 16*b + 50. What is the smallest common multiple of 20 and o(i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65187188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) + (-14)\/(-3). Let a(h) = -4 + q + 4*h**2. Let s(y) = -21*y**2 - 3 + 23*y**2 + 3. What is a(s(n))?\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1726*i**2*l**5 - 2*i**2*l*r**2 - 21*i**2*r + 2*i*l**2*r**2 - 12*l*r wrt l?\nAnswer: 34520*i**2*l**3 + 4*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1825 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.1 + -2.9. Let b = f - -63. What is the nearest to 0 in b, -0.4, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -34*(0 + -52) + 3. Suppose -y = -4229 - i. Round y to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (41 + -57)) + (12 - -1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.47 - 1.6. Let h = 0.13 + b. Sort 2\/15, h, 0.1.\nAnswer: 0.1, 2\/15, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 11*q - 5. Let j(t) = 4*t - 2. Let o(k) = -8*j(k) + 3*p(k). Let g(y) = -31*y + 5*y - 4 + 1 + 14*y + 9*y. Determine -g(u) - 4*o(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -632*f + 11173. What is the ten thousands digit of d(-97)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(396) + sqrt(396))*5)**2.\nAnswer: 5702400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-18)*310\/(-217)*-12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1097492 divided by 274373\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2863146323.\nAnswer: 599, 4779877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -36*b**2 - 27. Let n(h) = 9*h**2 + 6. Let y(j) = 9*n(j) + 2*v(j). Let i(r) = -14*r + 3. Calculate y(i(u)).\nAnswer: 1764*u**2 - 756*u + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5\/((f\/f**(-2\/11))\/f*f)*f**(12\/5)*f*f**(-2) assuming f is positive.\nAnswer: f**(287\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/(d**(-25)*d))\/(d\/d**(22\/7)*d))\/(d\/((d\/(d\/(d\/(d*d**17)*d)))\/d)*d**24) assuming d is positive.\nAnswer: d**(-97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.9 + -6. Let i = -4.9 + b. What is the third biggest value in 0, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {y: 4, e: 7, a: 2, q: 6, x: 1}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(2\/5)*f)\/f*f)\/(f**(-4)*f))**(11\/6) assuming f is positive.\nAnswer: f**(253\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995661 take away 317.6?\nAnswer: 1995343.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 61*w - 26. Give o(-20).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2. Let i(x) = 1. Let v(a) = 29*a**2 + 1. Let j(d) = -i(d) + v(d). What is j(z(f))?\nAnswer: 464*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -2*x**7\/105 - x**6\/30 + 3*x**4\/8 + x**3\/2 + 4*x**2 - 64. What is the second derivative of o(s) wrt s?\nAnswer: -48*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2862)\/(-265))\/(54\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2440 divided by 1220.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, 6\/25, 2, 0?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-2)\/(-8)*(-4)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27335740.\nAnswer: 2, 5, 139, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 5*l + 9. Let i be j(5). Let h = -12 - i. Which is bigger: 5 or h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3310 and 7\/1986.\nAnswer: 9930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - (3 - (16 - 8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 2*q**2 + 0*q**2 + (-2 + 1 + 3)*(1 - 1 - q**2) + 2*q**2 - 4*q**2 + 0*q**2 - q - q**2 + q + 26 - 10*q**2 - 26.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 3*x**2 + x - 2. Calculate the least common multiple of 6 and c(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18 + -2 + 4 - (-2 + 3). Suppose 23*r = y*r. Put 2, 41, r in increasing order.\nAnswer: r, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drxd when four letters picked without replacement from xnnrnnnnddnxxxdnnv.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z + 4*p - 8 = 0, -2*z - 4*p = 0. Suppose -5*k + 7 = -13. Suppose z*h + 0 = k. Let d(t) = -4*t + 1. Determine d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442537683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*11\/(-22). Let o = -6 + 7. Which is the biggest value? (a) o (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/y**15))\/(y\/y**(2\/31))*(y*y*(y\/(y\/y**(1\/2)))\/y)\/(y\/(y\/(y**(-11)*y))*y*y))**(-25\/6) assuming y is positive.\nAnswer: y**(-38075\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 41. Let m = j + 73. Let o = m - 103.43. What is o rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -3a0?\nAnswer: -3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 940547297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (1 - -10)) + -8 - -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -522425 or -0.1?\nAnswer: -522425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 - 2*l. Let y be i(4). Suppose 3*a = 2*a + 7. Calculate the highest common factor of a and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6) + (602\/483)\/(-1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56943\/70794)\/((-12)\/92).\nAnswer: -37\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**3 + c**3 + 2*c**3)*(15 - 15 + c**2)*(-2 - 1 + 1).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - -0.2. Suppose 0 = -5*s - 17 + 32. What is the closest to 2 in s, -1, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 43 + 23 + -28?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15538857?\nAnswer: 3, 5179619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -973705 divided by -1\nAnswer: 973705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -185*j. Let d(s) = -677*s. What is d(g(q))?\nAnswer: 125245*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(475) - sqrt(475)) + -4)*6)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-245)\/154)\/7)\/(-1)*24\/5?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 825, 1513, 2201, 2889?\n\"Answer: 688*c + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((160\/(-35))\/(370\/(-259)))\/(4\/(-10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) 1\/7557 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10226 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 1.2. Let x = q - 0.7. Let f = 4.6 - x. Which is the nearest to -1\/2? (a) 1\/4 (b) 2\/21 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/3, 0, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 - 897682*d + 17953608\/5.\nAnswer: 2*(d - 2244201)*(d - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68055, 68057, 68061, 68067?\nAnswer: 68075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40535?\nAnswer: 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903488 a multiple of 1088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*36975.391.\nAnswer: -73950.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2086, -2099, -2112, -2125, -2138, -2151?\n\"Answer: -13*l - 2073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 13*j. Calculate k(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 6:34 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 753*b**2 + 764*b**2 - 1518*b**2. Let h(f) = -6*f - 4. Calculate h(r(s)).\nAnswer: 6*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0183575 from 160241.\nAnswer: 160240.9816425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/2 + -2*(6 - 10). Suppose x*n = -3*v + 60, -3*v - 13 = 4*n - 95. What is the remainder when 458 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -11877639*q**2. Let v(r) = 14*r**2. Give u(v(t)).\nAnswer: -2328017244*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -3*m + 490 - 476, -2*m + 6*x + 316 = -10*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1)*7\/14. Let c = 2.36 - 0.16. Let j = -2 + c. What is the third smallest value in -7, b, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54672.\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 + 47*u**3\/2 - 217*u**2\/2 + 297*u\/2 - 63.\nAnswer: -(u - 42)*(u - 3)*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-3)\/2 - 1. Suppose 0*h = -y*h + 320. Let q = h + -42. What is the remainder when 43 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3041230 - 13?\nAnswer: 3041213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.27 - -8.73. Let h = 11 - c. Let f = 1.5 + -1. Put f, h, -6 in descending order.\nAnswer: h, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 273*u*x**2 + 5*u*x + 2*u + x**2 + 2*x - 15570 wrt x?\nAnswer: 546*u*x + 5*u + 2*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17*c**2 + 11*c - 2. Let z(g) = -8*g**2 - 5*g + 1. Let w = -3 + 0. Suppose 0 = 3*a - 3, -3*x - 792 = 2*a - 773. Calculate w*n(f) + x*z(f).\nAnswer: 5*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 6*k**3 - 3*k**2 + 7*k**3)*(-2 + 2 - 2*k**2).\nAnswer: -2*k**5 + 6*k**4 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 23. What is k(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:13 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/5 + 6032*r**3\/5 + 4536046*r**2\/5 - 3644536*r + 2736120 = 0. Calculate r.\nAnswer: -1510, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 461748 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -706 (base 16) to base 9\nAnswer: -2417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 219 + (-1)\/1 + 2. Suppose 4*a = -a + z. Let k = a - 5. What is the greatest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165799 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3719430)\/(-231))\/(2\/(-28)). Is 4 a factor of r\/(-455) - (3\/7 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 88290.7 kilometers?\nAnswer: 88290700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - x + 7, x = 57*o - 54*o - 13. Let y be (40\/12)\/5*6. Solve -o*f + y*n = -8 - 1, -5*f + 5*n + 10 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2150 + 8*c**2 - 1960 + 1268 - 5*c**2 - 2*c**2.\nAnswer: c**2 - 2842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -21. Let p = l + -8. Suppose 20 = -p*s + 4*s. What is the smallest common multiple of 11 and s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1546, 1543, 1538, 1531, 1522, 1511, 1498?\nAnswer: 1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2737*v**5 - 3337*v**4 + 548*v**3 + 52*v**2 = 0. Calculate v.\nAnswer: -26\/391, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, -16, -134, -298, -508, -764, -1066?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.44 and -2.\nAnswer: -3.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 13. Let r = -438 + 462. What is the remainder when r is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30999663 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**5 + 8*b**4 - 16*b**3 - 32*b**2 = 0. Calculate b.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 828669.1 years in centuries?\nAnswer: 8286.691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(13) + sqrt(13) + sqrt(1872)*-6)**2 + -4.\nAnswer: 77073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 779*s + 4136 = 691*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*t - 2 = 4, 0 = -4*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4930*l**2 + 319*l. Let k(v) = -31*v**2 + 2*v. Determine -6*c(i) + 957*k(i).\nAnswer: -87*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/(-70) - (-52)\/5. Let w(z) = -1 + 17*z + 6*z**2 + c*z - 25*z. Is w(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154396 by 567.\nAnswer: 154396\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 4*h - 36. Let m be l(9). Let y be (-8)\/(-9) + ((-14)\/m)\/7. Which is the closest to 0.03? (a) -2\/7 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.297991 + 0.3. Round i to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxssxxxss. Give prob of picking 1 s and 1 x.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -271987, -271990, -271993, -271996, -271999, -272002?\n\"Answer: -3*p - 271984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -50. Calculate the smallest common multiple of 18 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -6 - -4 - (-3 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 49. Let l = r - 40. Let z = l + 27. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from kxkxxlllllkk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2074490?\nAnswer: 2074490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7592931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -11. Suppose -4*p + 8 + 8 = v. Let t = p - -20. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/190 and 163\/720?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4660573, -4660572, -4660571?\nAnswer: -4660570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14348*j**6 - 2*j**2 + 821*j.\nAnswer: 1721760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 42*r - 12730. Let x be a(303). Let j = 55 + -3. Sort 5, x, j in ascending order.\nAnswer: x, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 9*t + 10. Let h be w(-8). Suppose -h*y + 0*y = -22. Solve 3*g - 4 = y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 5 = 39 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9, -1, 0.29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -9*t + 19184643. Let p(b) = -2*b. Determine p(f(y)).\nAnswer: 18*y - 38369286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24642*f + 24642*f - 5 - 3*f**2 + (f - 1 + 1)*(7*f - 3*f - 2*f).\nAnswer: -f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -653*w**3*x**3 - 1050*w**3*x**2 + 3*w**2*x**3 + x**2 wrt x.\nAnswer: -3918*w**3 + 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 17*v + 290. Let a(u) = -7*u - 145. What is -5*a(r) - 2*h(r)?\nAnswer: r + 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/3 + 523*l**2\/3 + l\/3 - 523\/3 = 0 for l.\nAnswer: -1, 1, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 43*u + 1. Let b be l(1). Suppose 0 = 2*c + 2, -b = -2*k + c + 3*c. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.675 - 104.395. Let m = -0.28 + t. Let y = -5.92 - -4.92. Which is bigger: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/8 - 821*p**3\/4 + 6902*p**2 - 49459*p\/4 - 155775\/8 = 0. Calculate p.\nAnswer: -1675, -1, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6120407 decades?\nAnswer: 0.006120407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 89005*b**2 - 321070475*b + 696877459485.\nAnswer: -5*(b - 1497)*(b + 9649)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4*9\/32)\/(6\/(-8)). Let j = -7 - -11. Sort c, j, 0.4 in descending order.\nAnswer: j, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0071*1\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -21. Let y(k) = 3*k**2 + 3*k. Let f be y(4). Suppose -3*s + s + 3*l + f = 0, 0 = 2*l + t. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 237 + -255. Let w = i + 109\/6. Which is the nearest to 1? (a) -2 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 16*l - 698 = 3*u, -l - 4*u = -184. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -188\/74739 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 1:42 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/(-5) + ((13\/(-65))\/((-2)\/110) - 4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 + 3617*c - 16 - 3661*c with respect to c.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i + 43. Let h be a(-5). Suppose -4*c + 24 = -y + 3, -4*y - 3*c - h = 0. Let b(z) = -z**3 - 4*z**2 + 3*z - 7. Give b(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 86*r**2 - 9*r + 38. Let o be a(4). Suppose -12303 = -19*v - o. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/1198 + -17075\/4193. What is the common denominator of o and 97\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 10330?\nAnswer: 10331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 - 5*v**2 - 5*v - 6. Let c(z) = -z**3 + 6*z**2 + 6*z + 7. Give -5*c(r) - 6*t(r).\nAnswer: -7*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5615303 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rruu when four letters picked without replacement from vvvuuvvuvvvvurrv.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 1.24. Let q = -13.4764 - -14.1764. Sort d, q, -3, -6\/7 in decreasing order.\nAnswer: d, q, -6\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53911060 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/48 and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 3*h + 18*h - 10*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -22*d**2 - 1\/12*d**5 + 0*d + 0*d**4 + 0 + 10\/3*d**3. Factor f(h).\nAnswer: -5*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 6. Let x be y(-8). Suppose x*u - u = 0. Suppose u = m + 2*f - 42, -2*f + 41 = m + f. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = k + 20, 0*a + a - k = 8. Solve -10*q = -a*q - 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 1. Let k be y(-12). Solve k + 4 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92044213843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*b - 561 - 1045 = -2*k, 3*k - 4*b + 27 = -42 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o + 12*o = -19*o + 184737. Is 3244 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g = 125. Suppose -3*n = -2*v + n - 80, -v - 3*n - g = 0. Let b = -11 - v. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 16*c**2 - c + 3. What is the units digit of z(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 498, 496, 494, 492, 490, 488?\n\"Answer: -2*h + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6 = 5*b - 526, 2*a + 424 = 4*b. Let l be (5\/10)\/(0 - (-3)\/b). Let g(r) = 46*r - 1. Let h be g(1). Calculate the highest common divisor of l and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28506*m**3 - 49745*m**3 + 476841*m**3 + 161014*m**3.\nAnswer: 559604*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 7:55 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k - 30. Let v(a) = -a**3 - 10*a**2 - 2*a - 14. What is the lowest common multiple of v(k) and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.599 + -0.548978. What is t rounded to three decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1356, 1360, 1366, 1374, 1384, 1396?\n\"Answer: g**2 + g + 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9dc55 (base 15) to base 11\nAnswer: 313409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.07 + -6.070953. Round y to 5 decimal places.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -154*d**2 + 22*d - 3. Let f(a) = -153*a**2 + 22*a - 3. Let p = 881 + -883. Let z(c) = p*r(c) + 3*f(c). What is the second derivative of z(t) wrt t?\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 101*p + 88. Let m be j(0). Suppose 2*q - r - 168 = 4*q, 3*q + 252 = 4*r. Let t = m + q. Solve 3*f - t = 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1604003)\/2 - (24\/16 + -3). Round r to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17599, -17611, -17631, -17659, -17695, -17739, -17791?\n\"Answer: -4*q**2 - 17595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 271, 1084, 2427, 4300, 6703?\n\"Answer: 265*u**2 + 18*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -679589*a**2. Let i(u) = 2*u. What is i(b(y))?\nAnswer: -1359178*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-2 - 17 + 8)*(-5*b**3 + b**3 - b**3 - 18*b**3).\nAnswer: 253*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2352 and 504.\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhqhptqqtthfqq. What is prob of sequence ht?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22e + -64?\nAnswer: 1ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o**2 - 4160750*o - 640116 = 0.\nAnswer: -2\/13, 160029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 4*z - 4. Let h = 2 + 2. Suppose 5*n = n - h, -3*t = -3*n - 18. Suppose -t*p - 4 = 11. Give a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 8. Let z(f) = -6*f - 23. Let a(j) = -8*d(j) - 3*z(j). Let y be a(-4). Let s be (y\/(-39)*-2)\/(-1). Do -1 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146643 (base 8) to base 14\nAnswer: 15283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n = -2*d - 861, 3*d = 3*n - 1305. Let g = 247 - d. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 0*o**2 - 2*o**2 + (1 + 2 - 1)*(-8*o + 8*o - 5*o**2) + 8*o**2 - 21*o**2 + 74*o**2 as q*o + p*o**2 + x and give p.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -27*u + 3575. Let r(o) = 11*o - 1788. Give 5*r(t) + 2*z(t).\nAnswer: t - 1790","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2157 (base 10) in base 11?\nAnswer: -1691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61523067*l**2 - 3 + 3 - 61523062*l**2 + 123046132*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3358 = a - z, -3*z + z = 0. Let x = a + 1815. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.113, 0.4, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -532 by 1.\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*s - 212. What is the third derivative of 106*b**3 + 25*b + 101*b**2 + 0*b**3 - s*b + 28*b wrt b?\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/q)\/(q*q*((q**5\/q)\/q)\/q*q)*q**4*q**4 assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 1560?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t - 1. Let w(h) = 7*h**2 + 13*h - 4. Give -w(p) + 3*x(p).\nAnswer: -4*p**2 - 10*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4*i + 26 = 2*i, 4*i + 8 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 104 + 176. Calculate the lowest common multiple of ((80640\/150)\/(-28))\/(6\/(-10)) and z.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -341 in 0.4, -0.4, 1, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-18) + 5767\/(-657) - ((-1768)\/39 - -17).\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3136634 - 75?\nAnswer: 3136548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h + 3. Let q be -6*(-15)\/(-18)*(12\/(-3) + 3). Let a(i) = -1. What is q*a(c) + w(c)?\nAnswer: -6*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 + -3 - -4 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122 - 84 - 67)*(-o**2 + 1 - 2 - o - o).\nAnswer: 29*o**2 + 58*o + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66588, 133174, 199762, 266352, 332944, 399538?\nAnswer: 466134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 35 - 7 = 0. Let z(l) = -l**3 + 13*l**2 + 13*l + 12. Let j be z(r). Put -5, 5, j in descending order.\nAnswer: 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppipiiiwpiwpippiip. What is prob of sequence pipi?\nAnswer: 98\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -444, -3716.\nAnswer: -3716, -444, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f. Let n(t) = -2090*t. Calculate i(n(l)).\nAnswer: 4180*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1089 + -1068. Suppose 3*j - 2*b = 2*b - 93, 0 = 3*j - 3*b + 93. Let g = 45 + j. Calculate the greatest common factor of g and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*d - 355*d = 12 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/633542 and 73\/14118936.\nAnswer: 98832552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -2*l - 19*x + 16*x, -6*l + 3*x - 57 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -47 + 3\/(-3) + 5. Let c = w + 88. Calculate the highest common divisor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q - 2. Let n = -36 - -58. Suppose 3*g - n = g + 2*p, 2*g + 2*p = 26. Is w(g) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-3.4\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*3\/30*6400\/150.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 19 = -5*b, -b = 3*z - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20113.5 to the nearest 100.\nAnswer: -20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/(-20))\/1 + -1. Let y = -1.938 + -0.062. Which is the nearest to -1\/3? (a) 1 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 4*k**2 - 7*k - 3. Let l be h(-5). Let q(x) = x**3 - 7*x**2 + 2*x - 3. Let y be q(l). Suppose 30*i = 122 + 178. Does y = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f + 285. Let h be ((-25)\/10)\/((-3)\/(-42)). Let a be n(h). Solve -t - 12 = -3*s, 5 = a*t + 5*s - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 1028*q - 1023*q - 9, -5*n - 5*q = 2 + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208 divided by 2.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9456.976 to the nearest ten.\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 + -334?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (16 - -2) - 29 - -2.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/13073, 0.6, 5, -2\/13, 4, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2145231)\/1116*((-11)\/3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3844 + -11698\/3. Let o = c - -56. Let q = -159 + 158. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310440, -620879, -931318, -1241757, -1552196, -1862635?\nAnswer: -2173074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -61 - -24?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -184, -414, -736, -1150, -1656?\nAnswer: -2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 24227711?\nAnswer: -24227714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2037, 1983, 1833, 1539, 1053, 327, -687?\nAnswer: -2037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -4)\/(-1) - 1*-7. Suppose -4*y + 21 + 3 = g*i, -3*i = -3*y + 6. Let r(w) = 2*w**3 - 6*w**2 + 8*w - 1. Give r(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 0.8497?\nAnswer: 0.042485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12256, -24555, -36878, -49237, -61644, -74111?\n\"Answer: -2*q**3 - 12285*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 224553.85 - -21.96.\nAnswer: 224575.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 5) to base 14\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -0.011, -3\/4 in decreasing order.\nAnswer: -0.011, -3\/4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 6. Determine l(8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8*i)**(-6)*i**(-1\/42)\/i**(-1\/6) assuming i is positive.\nAnswer: i**(-377\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1433\/5 - -280. Calculate the common denominator of j and -6\/125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 6:56 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105.97 - 0.97. Let m = s + -106. Let k be 16\/6*6\/(-28). Which is the nearest to 1? (a) k (b) -1\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59061529.\nAnswer: 6121, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -4)\/((-2)\/4). Let w be 1560\/(-110) + y\/(-11). What is the tens digit of (w - -9)\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -270.4 + 269.9. Which is the smallest value? (a) -23 (b) 0.03 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56.3 - 56.2999139. Round r to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 15577?\nAnswer: 15577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2. Let x(t) be the third derivative of t**5\/30 - 9*t**2. Give x(q(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11098 divided by -4.\nAnswer: 5549\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 equal to 260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 6*i = -144. Let r be (0 - -2)\/(16\/i). What is the closest to -1\/4 in r, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/14*-4*35\/65?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/35, -6, -1\/4, -0.05?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -121222?\nAnswer: 122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13\/33 - -3\/11. Which is the nearest to v? (a) -4 (b) 1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) -0.3 (c) -2 (d) 91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 55.8 * -0.01668\nAnswer: -0.930744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 7. Calculate j(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) + 16\/6. Suppose 3*b = -9, 0 = -j*m + 4*b - 2*b + 12. What is the units digit of m\/(-2*3\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-4))\/(285\/513))\/(12\/(-10)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from smxmsus.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 21*w**3 - 2*w**2 + 2 + 11*w + 42*w**3 + 24*w**3 - 55*w**3 as u*w**2 + a*w**3 + j*w + m and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -9\/2*i**4 - 3\/2*i**2 - 1\/2*i**6 + 0*i - 2 + 4*i**3 + 12\/5*i**5. Factor y(a).\nAnswer: -3*a*(a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83899268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 7, b: 1, e: 1, t: 5}. Give prob of sequence ey.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4)*d)\/(d*d**3\/d)*d**(1\/3)*d\/(d*d*d\/d**(2\/11)))\/(((d**2\/d)\/d*d)**(-28)*d**0*d*(d**6*d)\/d) assuming d is positive.\nAnswer: d**(2345\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 537*-70.1.\nAnswer: -37643.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 17 - 44)*(-2*c**2 - c**2 + 5*c**2).\nAnswer: -154*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 68, -257964 in descending order.\nAnswer: 68, -4, -5, -257964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:30 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*l + 5746 - 5480 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 56 + 20 = 0. Find the third derivative of -11*t**5 + 10*t**4 + t**2 + 0*t**5 - 34 + 19*t**4 + f*t**5 wrt t.\nAnswer: 60*t**2 + 696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 31*f + 6. Let j be w(0). Suppose j*z = 3*z + 3*m + 45, 3*z - 4*m - 43 = 0. What is the highest common divisor of 289 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 304 - 10732 = -4*f, -10444 = -4*f + c. Let o = f - 982. Suppose -20*l + o = -9*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:09 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 2\/180559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33b - 7697?\nAnswer: -7a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2\/7 (c) -42.98 (d) -0.6 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30904, 29876, 28848, 27820?\n\"Answer: -1028*j + 31932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10510, 21013, 31516, 42019?\n\"Answer: 10503*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 24 = 2*h, 5*d + 5*h + 25 = -5. What are the prime factors of (-3 - d\/9)*-15?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 0.4 (c) -3 (d) 1\/9 (e) -0.1 (f) -186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/23 (b) -0.3 (c) -122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 9*x**2\/2 - 14*x - 4. Let z(j) = -7 + 8*j + 3*j - 10*j + 4*j. Let v(w) = -3*f(w) + 5*z(w). Calculate v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 + 5*f**2 - 163*f + 944. What is v(6)?\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1637?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -356826 - -2497790\/7. Find a such that c*a**2 + 0 + 56*a**4 + 172\/7*a**3 + 228\/7*a**5 + 0*a = 0.\nAnswer: -1, -2\/3, -1\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2286 (base 12) to base 6\nAnswer: 25450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/14 + 2\/(-7). Let q be -2 - (f + -1 - 0). Let z be 1 + q - (-4)\/2. Solve b - z*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 19 - 25. Let g = w - 9. List the prime factors of 7 - (-2 - -3 - g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167 (base 11) to base 16\nAnswer: c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 720 and -216806217.\nAnswer: -216805497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8664, 8617, 8570, 8523?\nAnswer: 8476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - z - 4)*((5 - 2 - 2)*(4 + 2 - 4) - 7 - 7 + 0) in the form u*z + t and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:31 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/55 - -469\/1595. Let d = p + 419\/58. Find the common denominator of d and 23\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/15)\/((-990)\/(-2145)).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.83 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33636*r**3 + 2*r**2 + 11936 wrt r.\nAnswer: -201816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4)\/o**(1\/16))\/(o**(5\/4)\/(o*(o**(-2\/41)\/o)\/o)))**15 assuming o is positive.\nAnswer: o**(-20775\/656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 3 + 3)*(-1 + 2 + 0) + 2*n**3 - 3*n**3 + 6*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.719?\nAnswer: -0.3595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/15*1*1390\/3058.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -149*y + 76. List the prime factors of k(-6).\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 358405\/3, 3\/2, -0.07, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2455694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -31060754155544?\nAnswer: -31060754155549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 879729.9ml?\nAnswer: 879.7299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.47361892 to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/20 less than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i = 5*c + 47*i - 52, -3*c + 3*i = -15 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -3*x**5\/20 + x**4\/12 - x**3 - 3*x**2 + 17*x. Let b(p) = -9*p**3 + 3*p**2 - 17*p - 17. What is -6*b(g) + 17*i(g)?\nAnswer: 3*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(23*c**2 - 9*c**2 - 2*c**2)*(0*c**2 - 3*c**2 + c**2).\nAnswer: 48*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.404 and -0.1?\nAnswer: -0.0404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - t**2 - 15*t - 10. Calculate the remainder when 1948 is divided by o(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 358 - 357. Let b be p*-3*((-341)\/33 - -7). Solve 2*v = 10 - b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*k + 4 + 17 + 2*k**3 - 4 - 4*k**2 - 14 - 2 as i + h*k + d*k**3 + t*k**2 and give h.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 290\/(-2610) + (-163)\/(-9). Suppose -4*i + 88 = 2*t - 96, 3*i = 3. What is the greatest common factor of b and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 373468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 144\/18*(-2 - (-5)\/2). Suppose 0 = q + 2*p - 4, -3*p = -h*q - p + 46. What is the second derivative of 3*v**5 - 17*v + v**5 - 10*v**5 - q*v**5 wrt v?\nAnswer: -320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49833\/10 + -4994. Calculate the common denominator of p and 65\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 21*y**2 + 65*y + 182. Calculate the remainder when x(18) is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1161*i + 28. Let k(f) = 5804*f - 154. Let g(m) = -11*c(m) - 2*k(m). Let h(d) = -6*d. What is g(h(w))?\nAnswer: -6978*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 33 + 12 = 0. Let g = k + -20. Let w(c) = -c**2 - 5*c + 3. Let n be w(-5). What is the greatest common divisor of n and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5\/9 - 8*y**4\/9 - 472*y**3\/9 + 320*y**2\/3 + 3200*y.\nAnswer: 2*y*(y - 12)**2*(y + 10)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 201 = -0*p + g, 4*p - 198 = -2*g. Suppose 6 = -4*u + u. Is (4\/(-3))\/(u\/p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**3\/3 + 5618*q**2\/3 - 426340*q\/3 + 830224\/3 = 0.\nAnswer: 2, 76, 2731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 3*t - 4. Let u be a(-4). What is the least common multiple of 6\/u*-4 + 15 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42427 - 63627. Round r to the nearest one hundred.\nAnswer: -21200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 768 = -422. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 145 - 70 = -5*t, t + 147 = 3*n. Let k = 27 + -23. Suppose 54 = k*l - 342. Calculate the remainder when l is divided by n.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 591444 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 13, 6\/11, 2 in increasing order.\nAnswer: 0.1, 6\/11, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266612 is divided by 2902?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 5*p**2 - 6*p + 4. Let n be r(6). Suppose n*j - 2*j = -10, -575 = -5*q + 4*j. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -147*f**4 + 2180535*f**3 - 3426288*f**2 + 1423884*f - 177984 = 0?\nAnswer: 2\/7, 1, 14832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-6885)\/17))\/(((-3)\/(-9))\/(-1)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 + (-80)\/(-36). Let k = 20 + -10. Suppose -k = -u*o - 3*o. Solve 2*s + 2*c = -6, o*s - c - 1 + 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 2394372820257.\nAnswer: -2394372820254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) -2\/13145 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -971283*i**2 + 140315400*i - 5067630000 = 0?\nAnswer: 41100\/569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2. Let c(o) = 12*o**2 + o - 3. Let u(m) = 11*m**2 - 4. Let j(w) = 4*c(w) - 3*u(w). Calculate j(g(q)).\nAnswer: 60*q**4 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 12*f - 8. Let v(h) = 1 + h**f + 8*h**3 + h**3 + 7*h**3 + 2*h. Let u = 303 + -304. Give v(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 2*j + 2. Does 13 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 224*w**2.\nAnswer: -w**2*(w - 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 433*q + 97. Let t(b) = b - 19. Determine -h(c) - 5*t(c).\nAnswer: -438*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 120.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53256943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 315277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6616, -6612, -6600, -6574, -6528, -6456?\n\"Answer: o**3 - 2*o**2 + 3*o - 6618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 85.138. Round o to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4325061283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66604246 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -107, -226, -363, -500, -619?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108 (base 12) to base 13.\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90765128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14516956453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2. Let o(s) = -2*s. Let y(w) = 4*w - 5*w + 3*w - 6*w. Let d(m) = 3*o(m) - 2*y(m). Give d(z(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.392. Let z = l + 0.238. Let g = z - 0.16. Round g to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmmmmtmmmmmmm. What is prob of sequence tmm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-14 - 2)\/(3*(-8)\/36) is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - 2*a**2 + 9*a**2 + 6*a**2 to the form s + h*a + q*a**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = 3*t + 16, 5*t - 5*x = 40. Let l(b) = -b**2 + 5*b - 3. Let v be l(4). Let z be -5 + 2 - (v + -4). Solve 15 = -z*y + t*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(-7)\/j)\/j)*j*j)**(-26\/7))**20 assuming j is positive.\nAnswer: j**(-6240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -28. Let f be ((-42)\/35)\/((-6)\/40). Let l = f - 2. Solve 2*i + z = l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(475) - (1 + sqrt(475))) + -4) - (2*-1*sqrt(171) + 3*(sqrt(171) - 1*sqrt(171)) + sqrt(171) + sqrt(171) + 3)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 161 + 388 + 127 - 50.\nAnswer: w**2 + 626","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 - -183. Suppose 0 = 4*p - q + 86. Let a(c) = 7*c**3 + c**2 - 6*c - 13. Let m(s) = -4*s**3 + 3*s + 7. Let l(z) = 3*a(z) + 5*m(z). Give l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*5.312393.\nAnswer: 2.1249572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1833041077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o**2 + 8*o + 1. Let m(a) = -11*a**2 - 6*a - 1. What is 3*m(j) + 2*t(j)?\nAnswer: -11*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*c**4 + 84*c**4 + 39*c**4 + (7*c**2 - 3*c**2 - 2*c**2)*(c**2 - 2 + 2) + 3*c**4 + 0*c**4 - c**4.\nAnswer: 111*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(112)*-2 - ((-1*sqrt(112) - sqrt(112)) + 4))**2 + 3*(3 + ((sqrt(112) + 1)**2 - sqrt(112)) - sqrt(112) - (sqrt(112) + -1)*-3).\nAnswer: 36*sqrt(7) + 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-3)*((-14)\/91 - 13085\/20150) and -23\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 236\/7 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229 - 684 + 121 = -99*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*n - 6. Suppose n*b = -2*o - 1, -5*b - 5 = -0*b. Solve o = -a - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9764103*x - 19049180 wrt x.\nAnswer: -9764103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.126 + -0.08.\nAnswer: 2.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -22*s**2 - 2*s - 5. Let n(d) = -22*d**2 - 2*d - 6. Suppose -4*m + 5*b + 28 = 68, -27 = 3*m - 3*b. What is m*n(f) + 6*p(f)?\nAnswer: -22*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -358 - -419. Suppose 4*p + 0*p = y - 82, -y - 3*p + t = 0. Calculate the greatest common divisor of 112 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 26*s + 0 - 5\/18*s**4 - 1\/3*s**3 + 3*s**2 - 1\/30*s**5. Factor v(w).\nAnswer: -2*(w - 1)*(w + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t - 22. Let j(g) = -11*g + 34. Let o(a) = 8*d(a) + 5*j(a). Calculate o(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8810 (base 9) in base 10?\nAnswer: 6489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/51693 or -1?\nAnswer: -2\/51693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 - 2074356*x**3 + 268933513740*x**2 + 268935588100*x = 0.\nAnswer: -1, 0, 259295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15229 - 16195 = 23*u for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 8*k**2 + 9*k + 2. Let h be d(8). Let y = 42 - h. Calculate the common denominator of (-4)\/y + 107\/(-40) and -93\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*z + 68*z - 20 = 3*x, -8*x - 28 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/12*(9 - (-3 + 8)). Let g(j) be the first derivative of q*j**3 - 5\/4*j**2 + 2 + j - 1\/8*j**4. Factor g(o).\nAnswer: -(o - 2)*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -27*j - 15*j + 37*j. Suppose 9 = 3*s - 3*t, 2*s - 3*t - 2 = t. Let h(r) = -s*r + 2*r + r. Determine h(v(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 42 = p. Suppose -5 = -3*j + 4, 5*b - 5*j - 300 = 0. Suppose 0 = 7*s - 10*s + b. Calculate the highest common divisor of s and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 827579885 times -3\nAnswer: -2482739655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 8*k - 11 = 0, 57*c + 4*k + 199 = 141*c - 89*c for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/5 + 3644*k**3\/5 - 445842*k**2 + 4447492*k\/5 - 444385 = 0. Calculate k.\nAnswer: 1, 775, 2867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7 = 4*k, 5*g + k - 4 = 10. Let d(l) = -l - 1. Let z be d(-5). Put z, g, -4 in decreasing order.\nAnswer: z, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h + 41*h = 92. Let l be (h - 7)\/(2*(1 - 0)). Let b(z) = 8*z + 5. Let m(p) = p + 1. Give l*m(r) + 3*b(r).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 4*u**9\/63 - u**8\/168 - u**5\/30 + 7*u**4\/8 - 125*u**2. Find the third derivative of z(l) wrt l.\nAnswer: 3840*l**3 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:26 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246953665 is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1461 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -3. Let c be -84 + 0\/(r - 1). Calculate the remainder when 11 is divided by c\/18*(-3)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/4 (c) 3181 (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 3. Let h(b) = -b + 3. Let f be h(0). Let t be p(f). Suppose -4*u - 5 - 3 = -2*s, -4*s - 2*u + 46 = t. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14305, -6667, 6069, 23909, 46859, 74925, 108113?\nAnswer: 146429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**2 + 3*t - 58. Let k be d(6). Suppose -p - 210 = -k. Solve -3*c + 4*w + 13 = 4, -w - 1 = -p*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 6*x + 6, 928*r + 24 = -4*x + 926*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7879181923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.51 (b) -20 (c) 622408\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9*a**2 + 9*a**2 - 6*a**2 - 7*a**2 - 3*a**3. Let s(h) be the third derivative of h**6\/60 - h**5\/15 - 2*h**2. Give -4*p(r) - 5*s(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418379.\nAnswer: 13, 32183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**4 - 2600*y**3 - 348060*y**2 - 15291360*y - 120657600 = 0.\nAnswer: -342, -84, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-20)\/(-12))\/(2\/78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**2 + 174*c. Calculate the remainder when 322 is divided by l(-18).\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + -2 - (-8 + 16)) + (3 - 21).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299128411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 + 85. Let n be ((-16)\/(-56))\/(b\/42). Solve q + 2 = -n*f, 2*q + 1 = 5*f - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from {v: 2, t: 2, w: 1, s: 11}?\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -6. Let b(f) = -f + 4. Let r be b(4). Let i = r + 2. Solve u + y = -i*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 5*t - 4. Let u be z(-4). Suppose 18 = 10*g - g. Let i = u + g. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + 61. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -33. Suppose 0 = w - 2*w + u. Find the third derivative of 15*q**2 - 3*q**5 + 12*q**5 - w*q**2 wrt q.\nAnswer: 540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8736)\/468)\/8*(1830\/(-7))\/5.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29099059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4699753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4416 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + u + 1005, 4*y + 0*y = u - 813. Let i = y - -210. Let n(q) = 3*q + 1. Let d be n(1). Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-4 + sqrt(396) + -1)**2 - sqrt(396) - sqrt(396)) + sqrt(396) + -1 + sqrt(396) + 2).\nAnswer: -300*sqrt(11) + 2110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1553257 + -38824301\/25. Let v = p + -285. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/7 + 5285*b + 2547894\/7.\nAnswer: (b + 69)*(b + 36926)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -40346649.4 rounded to the nearest one hundred thousand?\nAnswer: -40300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26\/5 (b) 1\/7 (c) 5 (d) 5\/3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**2 - 242919*h + 242922 = 0.\nAnswer: -80974, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*p + 20. Suppose -2 = 2*y, 4*i + y + 4 = -3*y. Solve i = p*b + 2*x + 8, 3*b - 5*x - 5 = 8*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -222111, -222116, -222121?\n\"Answer: -5*u - 222106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q + 4. Suppose -7 = -2*h + m, -h - 3*m = -3*h + 9. Is f(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10741029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n = 8. Let l = n + 14. Let u(i) = i**3 - 5*i**2 + 1. Let r(d) = -2*d**3 + 10*d**2 - 3. Let a(h) = l*r(h) + 13*u(h). Calculate a(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s. Let m(t) be the third derivative of t**5\/15 - 28*t**2. What is p(m(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*-2*(-3)\/(-12). Determine i, given that -p*i**3 + i - 3 - 6*i**2 - 7*i + 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**46*y**(-3\/7)\/(y*(y\/(y\/(y**(-6)\/y)))\/y) assuming y is positive.\nAnswer: y**(253\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 10256*t**2.\nAnswer: t**2*(t - 10256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35389173.\nAnswer: 3, 11796391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 7*u - 2*u + 27, 5*u + 28 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-11\/2)*b*b))**14)**(-1\/6) assuming b is positive.\nAnswer: b**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9657655.9 from -0.9.\nAnswer: 9657655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1738253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*m + 20 = -119*m, 2*t - 2*m = 10. Solve 5*y + 16 = -t, -5*y - 5 = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (277 - 279)\/(2\/(-16))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -4)\/(-1 - 1). Solve f*z - 3*z + 3*u + 3 = 0, -5*u - 13 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -168158\nAnswer: 5044.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/322 - -6483\/4025. Find the common denominator of m and 59\/1900.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6053 + 15.5.\nAnswer: 6068.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + y**2 + y + 400*y**3 - y**2 - 792*y**3 + 19*y**4 + 396*y**3 as a*y**3 + b + s*y**4 + g*y**2 + d*y and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 9*i**2 - 9*i - 8. Let t be j(8). Let p be (-3)\/(3\/5) + 0. Let s = p - t. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugrrrgrrugrrrg. What is prob of sequence guru?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 10. Let a be r(-6). Suppose 9*p - a*p + 120 = 0. Let c = 81 + p. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {e: 1, r: 1, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35860a - -20?\nAnswer: -3585ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/420*(-13)\/(117\/30). Determine l so that -2\/7*l**5 - p*l + 4\/7*l**2 - 2\/7 - 2\/7*l**4 + 4\/7*l**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -1*sqrt(117))*2 - sqrt(117) - (sqrt(117) + sqrt(117)*-2 + sqrt(117))*5)\/(sqrt(144)*2 + sqrt(9)*-2*-1).\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8546, -34190, -76946, -136826, -213842, -308006?\n\"Answer: -2*n**3 - 8544*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3821 is divided by 952.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(180)\/(sqrt(10)*1) + sqrt(18) - sqrt(18) - sqrt(18) - sqrt(18)) + sqrt(18))\/(sqrt(9) - -6*2*sqrt(9) - sqrt(9)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 4, 284, 3, 1, 0 in increasing order.\nAnswer: -11, -4, 0, 1, 3, 4, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 234*t - 77*t + 4 - 73*t + 2*t**3 as w*t + p*t**3 + a*t**2 + i and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276 divided by 6?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 1. Let q be s(-2). Let l be (-1 + 3)*(-6 - -8). Let z = q + l. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661 is divided by 182.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -633 in 12814, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -3*q - 18*f + 99, -2*f + 100 = 3*q. Let j = 77 + -31. Let z = j - q. Find the common denominator of z and 7\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**0\/t*t))**45\/(t**9\/((t*(t**(5\/4)*t)\/t*t)\/t)) assuming t is positive.\nAnswer: t**(153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 divided by -98841?\nAnswer: 71\/32947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5628.704 decades?\nAnswer: 56.28704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/1153 or 24354?\nAnswer: 15\/1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.171 + -311.03954.\nAnswer: -310.86854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.32 and 0.17.\nAnswer: -0.0544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1297 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*b - 6240, 0 = 53*g - 54*g + b + 1560. Calculate the least common multiple of g and 65.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*c + c - r, 3*r - 6 = 0. Let p be 10\/15 + (-4)\/c. Let l(j) = -3*j + p*j - j**2 + 4 - 2*j. Calculate l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 68 - 78. Calculate the remainder when 32 is divided by (1 - 1) + 7 - v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5409 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234152.3g to milligrams.\nAnswer: 234152300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(637) + sqrt(637))*-1 + (sqrt(117) + -4*(-2*sqrt(117) - sqrt(117)) + sqrt(117))\/((-1*sqrt(36))\/sqrt(4)).\nAnswer: 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -596406552 divided by -21300234.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2\/5 + 82*a + 420 = 0.\nAnswer: -5, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 < -0.103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 876144537 to the power of 1\/2, to the nearest integer?\nAnswer: 29600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -13. Suppose v*k - 18 = 6. Let n = -7 + k. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = -0. Let u = -16 + 18. Differentiate -1 + 2 + u*k + o with respect to k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnbybnbvbbynbh. Give prob of sequence nyhy.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 - 181. Suppose 0 = -4*a - 2*q + 18, 4*q = 3*a - 7*a + 28. Let x(l) = -5*l**2 + 0*l**2 + a*l**2 - 2*l + l**2 - 1. Determine x(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -50, -73, -96, -119?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(2\/7)\/t)*t)**(2\/17)\/((t**(3\/11)\/t)\/(t\/(t**7*t))))**(4\/3) assuming t is positive.\nAnswer: t**(-10596\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let y(f) = -5 + 5 - f + 3 + 0*f. Let z(b) = -2. Let r(v) = 2*y(v) + 3*z(v). What is r(a(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 458 + -455. Which is the third biggest value? (a) -26 (b) v (c) 0.3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2723 and 945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**6 + 8852*j**5 - 11*j**2 + 778 wrt j.\nAnswer: 120*j**3 + 531120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2193 + 8775\/4. Suppose -9\/4*p**2 - 3\/4*p**4 - j*p - 9\/4*p**3 + 0 = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77*5.\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 1235?\nAnswer: -1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 5*l + 3. Let c be x(5). What is the units digit of -4*(45\/(-4))\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22155 divided by 7.\nAnswer: -3165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 3*h + 3. Let d be q(-3). Suppose -c - d*c = -64. What is the remainder when 4 is divided by -4*(0 - 12\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24816 and 1157328?\nAnswer: 12730608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (2 - -7)) + (-34 - -37)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2969484 rounded to three decimal places?\nAnswer: 1.297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6238259*z**3 - z**2 - 814*z + 378.\nAnswer: 37429554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 10, i: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22 (b) 2 (c) -1 (d) -3 (e) 1 (f) 295\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 5 - 3 - 5 + u + 2*u - u + (-2*u - 4*u + 5*u)*(2 - 2 + 2) + u - 5*u + 3*u - 5*u + 4*u + 3*u.\nAnswer: 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-14)*28*(-4)\/(-32). Suppose j*c - 7 = 5*s, -3*c - 9*s = -14*s - 8. Sort c, 35, -1 in descending order.\nAnswer: 35, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 44 - 65 + 270. Solve 27*z - v*z = 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*t - 3*t. Suppose n - 17 = 2*n + 3*k, 0 = -2*n - t*k - 38. Let a = -20 - n. Solve 3*m + a*m = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90.23 + -90.13. Let l = -102 + 101.703. Is l at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -31*h**2. Let z(p) be the first derivative of -2*p**3\/3 - 13. Determine b(z(w)).\nAnswer: -124*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u*u\/(u\/u**(-2\/33))*u*u)\/u*u*u)\/u)\/u)\/u)\/u**(-5\/6)*u**(-10)\/(u\/((u*(u**(-3\/2)*u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -98068410 rounded to the nearest 100000?\nAnswer: -98100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 18 = -k. Let b(u) = 5*u - 10. Let j be b(k). Let z = 66 - j. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3027*u - 3032*u = -23*a + 1, 2*u + 3*a = 24 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 94127 divided by 199\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - (-54 - -55).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*x - 20*x**2 - 5*x**2 + 85*x.\nAnswer: -25*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 11)*(-148*z**3 - 711*z**3 + 277*z**3).\nAnswer: 5238*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*z - 109, -23 = -2*d - 2*z + 29. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 3*x + 27, 132674*j - 2*x = 132670*j - 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 679339578 to the power of 1\/3, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 208258254 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3.5. Let g be 2\/4*3\/(-6). What is the second smallest value in 0.5, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-30)*i))\/i*i*i**(-27)*(i**40\/i)\/(i**3*i*i) assuming i is positive.\nAnswer: i**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4 - 22. Let b(r) = -r**3 + 5*r**2 + 5*r - 1. Calculate b(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44, 40, 48, 74, 124, 204, 320?\n\"Answer: j**3 - 11*j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.065 * 13\nAnswer: 0.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 4*g - 8. Let w(d) = 6*d**3 + 9*d**2 + 6*d + 3. Let a(j) = 2*j**3 + 3*j**2 + 2*j + 1. Let q(o) = g*w(o) + 11*a(o). What is q(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = -15*r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -883, -1766, -2649?\n\"Answer: -883*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 16. Let x be h(-13). Suppose 0 = 5*l - 15, 76 = z - x*l - 0*l. Suppose -178 = -s + z. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l + 9. Suppose 30 = -i - 5*m, 3 = l*i - 4*m - 2. What is the second smallest value in i, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/((-52)\/234).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.511 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7011\/(-513))\/((-451)\/3828)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -561400 to the nearest ten thousand.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, -0.061, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 35*p - 66.\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 57, 53, 39, 9, -43, -123, -237, -391?\n\"Answer: -j**3 + j**2 + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-43)\/(87075\/432)*2\/(-16).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*p - 176 = 22, 4*p + 362 = 5*m. Suppose g = 4*g - 30. What is the greatest common factor of m and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10985 and 766320.\nAnswer: 1683605040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 28 = -16*p, -4*l - p = -123. Solve 17*g + 5 = -l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 446, 650, 862, 1082?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/5 + 0\/2. Let y be (4\/(-16))\/(o\/(-4)). Let r = -4 + 3.8. Which is the third smallest value? (a) y (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61181 - 60880.07. Let s = -301 + x. Let r = -4 + 6. Put r, s, 4 in descending order.\nAnswer: 4, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/80 - 5*f**4\/48 - f**3\/12 + f**2 - 203*f. Factor d(v).\nAnswer: -(v - 1)*(v + 2)*(v + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 156741242.\nAnswer: -1\/156741242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 h when four letters picked without replacement from nnhnnhnhnhhn.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 94592, 189180, 283766, 378350?\n\"Answer: -i**2 + 94591*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28.2494255272 and -84.\nAnswer: -112.2494255272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3749, 0.112, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448) - (5 + sqrt(448) + (sqrt(448) - (-3*sqrt(448) - sqrt(448))))) + sqrt(448))*1)**2 + 4.\nAnswer: 320*sqrt(7) + 7197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 3*z**2 + 8*z**2 - 2*z**4 - 13*z**2 to t*z**3 + a*z**2 + k*z + u + b*z**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -0.1 (c) 2 (d) -50\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*p**2 + 9*b*p*q**2 - 3*b*q**4 + p**2*q**3 + 3*p**2*q - 4*p*q**4 - 3*q wrt q.\nAnswer: -72*b*q + 6*p**2 - 96*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1355*t**2. Let l(n) = -n**2. What is z(l(j))?\nAnswer: -1355*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 9*m. Suppose 0 = o + 3*p, 8*o = 4*o - 3*p. Suppose 21*g - 16*g - 50 = o. Determine n(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -12, -15, -16, -15, -12, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 810726.7ml in litres?\nAnswer: 810.7267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1681.3 nanometers to meters.\nAnswer: 0.0000016813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-343)\/(-13) + (-337500)\/(-73125).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221148 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 558 - 267. Let n = -147 + k. Suppose 0 = 4*y - 188 - n. What are the prime factors of y?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**3\/6 - 7*s**2\/2 + 5*s. Let b be j(9). What is the third derivative of 2*z**3 + 4*z**b + 3 - 3 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11108 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/108)\/(1\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + m + 4. Let p(z) = -2*z - 6. Let y be p(-7). Suppose 4*l + 8 = x, 2*l - 6*l = 5*x + y. Determine t(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.314 - -0.313996355. What is m rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*o - 85, 0*o + r = 4*o - 57. Is (o\/(104\/160))\/(1\/34) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 183\/(-33)*-15 - 18\/99. Let g = 103 - l. What is the remainder when 97 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174 + -358. Which is the closest to -1\/3? (a) u (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:58 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 106458.\nAnswer: 212916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 14*p**2 + 0*p + 2\/3*p**3 + 0 + 1\/12*p**4. What are the prime factors of l(11)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1901222, 2, 34 in ascending order.\nAnswer: 2, 34, 1901222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/7 in -4\/7, 2\/3, 0.5, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*m**4 - 32*m**3 - 3243638*m**2.\nAnswer: -2328*m - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1477775 and 204615?\nAnswer: 13299975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -292*k + 3805. Let y be w(13). Solve 2*i - 1 - y = -6*t, 6 = -2*i + 2*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u\/u**(-8))\/u))\/u**(-3\/4))**(-2\/3) assuming u is positive.\nAnswer: u**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303019447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 15*o - 13. Let b be j(16). Solve b*y + 6*q - 3 = 3*q, y + 4*q + 5 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11932178593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302 - 5*h**2 - 11*h**2 - 151 - 151.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 231 - 92?\nAnswer: 15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 200015 (base 8) in base 13?\nAnswer: 23ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 72 = 7*r. Suppose 27 = r*g + 9. Solve -g*j + 20 = 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6*j - 8*j - 13 = 0, 35 = 3*o - 5*j. Let q(v) = v - 2. Let p be q(-2). Let t be (-78)\/p - 1\/(-2). Solve t = -3*c + o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -121, -64, 63, 266, 551, 924, 1391?\nAnswer: 1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2\/6 + 131*t\/6 - 133\/3 = 0.\nAnswer: -133, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 908155*c**3 - 2756*c**2 - 1378*c + 689. Let l(n) = -7897*n**3 + 24*n**2 + 12*n - 6. Give 689*l(y) + 6*v(y).\nAnswer: 7897*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1067 + -1067. Suppose 4*g = -6*u + u + 3, -8 = -5*g - 2*u. Suppose -g*q + 24 + 58 = r. Calculate the remainder when q is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 m, and 1 t when four letters picked without replacement from {c: 1, d: 2, m: 3, t: 1, q: 3, i: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-10)*g**(-2\/7))\/(g**(-2\/9)*g**(-5\/6)) assuming g is positive.\nAnswer: g**(-1037\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -12 + (-17 - (10 - (-1 + 20))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 859*r + 14. Let y(n) = -172*n - 3. Let k(i) = 2*h(i) + 11*y(i). What is the hundreds digit of k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/10)\/l)\/(l*l**(2\/17)*l)*l*l\/l**(5\/7)*l*l**(-1)*l*l assuming l is positive.\nAnswer: l**(557\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 65064 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32917 - 33444. Which is smaller: x or -524?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 22*m - 56 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -232 (b) 1 (c) -22\/9 (d) -6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*y**3 + 2231*y**2 - 81431?\nAnswer: 39*y**2 + 4462*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -730.38337 and 1.\nAnswer: -729.38337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 248 - 3. Suppose -6*y + l = -y. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 26. Which is the closest to 1? (a) 11 (b) 1\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1440, 1830, 2280, 2790, 3360?\nAnswer: 3990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a\/((a\/a**(-4\/9))\/a))*a)**29 assuming a is positive.\nAnswer: a**(-145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-2)\/6)\/(9\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**3 + 15712*w**2 + 7*w + 86980 wrt w.\nAnswer: 6*w**2 + 31424*w + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -1\/80*d**5 - 3\/4*d**3 + 0 + 0*d + 11*d**2 + 5\/32*d**4. Suppose r(b) = 0. Calculate b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1352*u - 11392 - 94586 - 92981 = -34015 for u.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (43 - 13 - -11) + (-14 - -6)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 12 = -10*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18404 is divided by 836.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 3*q + 20. Let l be c(8). Let x(b) = -243*b - 19 + l*b - 252*b. Is x(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:48 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7432 * 4\nAnswer: 29728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4\/7 + 31702*x**3\/7 + 317222*x**2\/7 - 31702*x\/7 - 317220\/7 = 0.\nAnswer: -10, -1, 1, 15861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 25. Let m(u) = 9*u - 2. What is m(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 143715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 171372*p - 171371*p + 5 + 104*p**2 + 3 as k + b*p + x*p**2 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.259171 - 0.259171. Let d = 0.34 + -0.04. Which is the closest to -5? (a) d (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 193*h - 198*h - 15. Let o = -131\/12 + 26\/3. Which is greater: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82508202 is divided by 2015?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*l**5 + 25562*l**4 - 101690*l**3 + 58498*l**2 + 18066*l - 828 = 0. Calculate l.\nAnswer: -69, -1\/4, 2\/49, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iviiivvivvivvvvviivi. What is prob of sequence ii?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -15. Let v be 1\/(9\/(-5) - -2). Suppose -2*r + 5*y = -110, r - v*y - 165 = -2*r. What is the greatest common factor of o and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/19674722 and -71\/59024166?\nAnswer: 59024166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4970167*i**2 + 4970167*i**2 + 284*i**3.\nAnswer: 284*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 443 + -44. Let r = 399.00284 - g. Round r to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 73*d = -77*d + 44, -d - 14 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 - 522*h + 255*h - 27*h**3 + 267*h.\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 20, k = -3*k - 3*f + 35. Let h = 378.4 - 378. Sort h, k, 0.3, 0.1.\nAnswer: 0.1, 0.3, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**5 + 228*q**4 + 747*q**3 - 8562*q**2 - 9696*q + 17280 = 0?\nAnswer: -72, -8, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1121, -1110, -1107, -1118, -1149, -1206, -1295?\nAnswer: -1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Suppose 0*k = -4*k + 16. What is the remainder when -7*(-3 + k - 2) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/(-42)*(-45)\/165)\/(-5)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.71 * -116.8.\nAnswer: -3703.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-345)\/(-322))\/5)\/((-12)\/14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 25 = 3*b - 5*b, -2*b = -2*w - 20. Suppose -4*d = s - 8, -3*d + b*s + 29 = -0*d. Solve 1 = 2*t + 4*o - d*o, 7 = 2*t + 3*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87*(3 + -2) + -13 + 15*(-6)\/9?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, 0, 30, -4, 0.03?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 4:26 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/30 + (-322)\/(-6). Let f = z + -49. Solve 3*p + 18 = 3*j, 2*j - f = 6*j + 2*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyddhzhzzyhh. Give prob of sequence zyud.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-32))\/(87\/(-806664)*-61).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 3 + 3*u + 2. Is 7 a factor of c(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**3 + 3*r**2 + 103*r + 3. Let f(d) = 52*d**3 - 40*d**2 - 1340*d - 40. Give 3*f(u) + 40*t(u).\nAnswer: -4*u**3 + 100*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 33831?\nAnswer: 67662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 674 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 978 and 24?\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -30. Suppose -t*u = -u - 6. Suppose -u*x - 5 = o, 3*x - 6*x + 15 = -3*o. Solve 4*h - 4 = -5*w - 0, x = -2*h - w - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(sqrt(1216) + (-2 + sqrt(1216) + sqrt(1216))*4 + sqrt(1216) + 1*sqrt(1216)*1))**2.\nAnswer: -4576*sqrt(19) + 588713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(-8*m - 2*m + 6*m)*(m**3 + 0*m**3 + m**3)*(6 - 1 - 4)*(2 - 1 - 8).\nAnswer: 168*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -123*b**2 + 241*b**2 - 117*b**2. Let u(c) be the third derivative of 0 + 0*c + 0*c**3 + 5\/24*c**4 + c**2. Give v(u(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -7 + 30 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/157950 and 37\/484380.\nAnswer: 7265700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/6 + (-1)\/(-3). Let b(j) = -j**3 + j**2 + 6. Let r(v) = v**3 - v**2 - 5. Let u be (307\/7)\/(12\/84). Let o = -304 + u. Calculate f*r(t) + o*b(t).\nAnswer: t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1316 and 28?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*c - 308 = 80*c. Let a = -136 - -374. Calculate the highest common divisor of c and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*w - 1 = -2*i, -5*i + 5*w - 65 = 0. Let h be i\/5 + 10\/2. Let a = 463 + -463. Solve 0 = u - 3*c, a = u + h*c - 0*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -n + 33*v - 30*v, -2*n - 3*v = 16. Let h(d) = 6*d - 12. Let m(g) = g - 1. Calculate n*h(k) - 12*m(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926755988 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41014 - -11?\nAnswer: -41003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14659 is divided by 1056?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssi when three letters picked without replacement from ssssisissipssspsss.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40851, -81704, -122553, -163398, -204239, -245076, -285909?\n\"Answer: 2*b**2 - 40859*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 459*y**3 + 23130*y**2 + 141396*y + 118728 = 0. Calculate y.\nAnswer: -34, -6, -1, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + 1 - (442\/(-85) - -13))*-5. Let n = 6 - -10. Put n, j, -3 in ascending order.\nAnswer: -3, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 8:05 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4503630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 2*a**2 + 2*a + 5. Suppose 0 = -2*b - b + 4*x + 14, -7 = b + x. Let q be n(b). Is -5\/14 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.67 + 0.23. Let s = x + -7. Let a = 6.6 - 6.6. What is the nearest to a in 4, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 46. Solve 0 = 2*f + l*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2781, 5555, 8329, 11103, 13877, 16651?\n\"Answer: 2774*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**3\/6 + 7*m**2\/2 + 45*m. Suppose f - 3 = 3. Give u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 0 - (-285 - 15). Calculate the highest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354949 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d + 5 - 5 + 0 + 3. Let a(v) = -5*v - 2. Let q(x) be the third derivative of -x**4\/24 + 2*x**2. Let l be q(7). Calculate l*a(p) - 4*t(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 6*p + 30. Let b be x(9). Solve 0*n + 6 = b*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3 - 1. Suppose 0 = -6*c + t*c + 8. Suppose -c*s + 16 = 2. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 0, 22.\nAnswer: -58, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/7 - (-24)\/(-168).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((102\/156)\/(-17) - (-281320)\/2704) + -19?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 425*l**4 - 22140*l**3 + 2080*l**2.\nAnswer: 5*l**2*(l - 52)*(85*l - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3075.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*j = -291, 4*j = -5*u + 221 + 72. Sort u, -5, -4.\nAnswer: -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412 (base 10) to base 5.\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-152))\/((-69)\/(-1771)*11))\/(7\/21)\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 26 = -2*n + 4, n = -y + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(14*13\/182). Let m(k) be the third derivative of -k**5\/60 - 5*k**4\/24 - k**3 - k**2. Give m(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 16*i - 12*i + 3871, -30900 = -8*o - 2*i. What is the remainder when o is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 4*u + 14. Let o be m(6). Factor 11*c**o - 16*c**2 + 3 - 3 + 15*c.\nAnswer: -5*c*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 149 = -15*h. Suppose h*j - 536 = j. Suppose -4*i + 45 = -j. Calculate the greatest common divisor of i and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -928560256*h**2 + 133745518*h?\nAnswer: -1857120512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**24)**(-3\/11)\/(x**4)**(-27) assuming x is positive.\nAnswer: x**(1257\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037 take away -1.64?\nAnswer: 1.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.36, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*g\/(g**(1\/2)\/g))**38*(g*g**(-1)*g**(2\/7))**(-3\/14) assuming g is positive.\nAnswer: g**(10232\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478788650?\nAnswer: 2, 5, 1093, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1*y*y)**(1\/6))**37)**(-1\/3) assuming y is positive.\nAnswer: y**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -63, -103, -143, -183?\n\"Answer: -40*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*o = 8, -4*f + 7*f + 3*o = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, s: 6, l: 1, c: 3, f: 2}. Give prob of sequence sf.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.089 and -0.4?\nAnswer: -0.0356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/5 + 2*n**2 + 12*n\/5 = 0. What is n?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.539 - -20.539. Let j(a) = -4*a + 3. Let o be j(2). What is the closest to t in -0.5, -3, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let s(u) = 25 - 7*u - 25. What is z(s(b))?\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26955*-2.\nAnswer: -53910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10132*m**3 + 6*m**2 - 10*m + 5. Is h(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.23893 and 4?\nAnswer: 0.95572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjt when three letters picked without replacement from {j: 8, t: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78957872?\nAnswer: 2, 7, 191, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 2. Let x(w) be the first derivative of 0*w + 1\/3*w**3 - 1 + 0*w**2. Calculate x(p(r)).\nAnswer: r**2 + 4*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/249)\/((6\/(108\/7))\/((-301)\/(-172))).\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8 times 1.36022?\nAnswer: 9.249496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 17, -3, 0.3, 117?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + 11a?\nAnswer: 12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22341568 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -4402010?\nAnswer: -4402003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46*-16.156.\nAnswer: -743.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -78 and 13897.\nAnswer: 13819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970013 is divided by 548?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**2 + 16*r - 13 + r - 9*r - 6*r.\nAnswer: -27*r**2 + 2*r - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c + 27. Let s be n(5). Suppose -3*x - s = 4*u, -x = -u + 3*u + 1. What is the highest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5491 + 5503. What is the lowest common multiple of w and 86?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347 smaller than 1342326\/251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 8*w**4 + 4*w**4 + 2*w**2 + 5*w + 2*w**4 to d*w**2 + p*w**4 + m*w + t + l*w**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2370505 meters?\nAnswer: 237050.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnlekkxkxnklkekxlxyn. What is prob of sequence kxk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 4, -7 in decreasing order.\nAnswer: 8, 4, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 + 3*v**2 + 12*v + 18. Give l(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -27*b + 15*b + 14*b + 1. Determine s(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 3, 19, 9 in descending order.\nAnswer: 112, 19, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108096311.\nAnswer: 29, 3727459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-10)\/(330\/11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123865037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*o**3 + 161*o - 2?\nAnswer: 378*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c = z + 26, -2*z + 14 = 3*c. List the prime factors of 7 - (c\/3 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 118 (c) -2 (d) -239 (e) 5 (f) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10992, -22004, -33022, -44046, -55076, -66112?\nAnswer: -77154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - 22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934583?\nAnswer: 3, 7, 17, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 3, g: 1, u: 2, i: 1, n: 5}. Give prob of sequence gn.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 17550526 (base 8) to base 13\nAnswer: b11ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1120593 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**7\/10080 + w**6\/960 - w**5\/240 - w**4\/4 + 2*w. Let y(k) be the third derivative of o(k). Let y(i) = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698.72779 rounded to the nearest ten?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 9, t: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 1436 + 10\/(-20)*0 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 1 - 8 + 7 + 9*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/4 + 21273*j\/2 + 150846843\/4.\nAnswer: 3*(j + 7091)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -19 + -30 + 63.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - k + 27. Suppose -19*j - 10*j = 0. Let v be c(j). Calculate the highest common factor of v and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1478 and 3267119?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1. Let c(d) = 26*d**2 + 39. Let m(u) = c(u) - 39*z(u). Let b(q) = q**2. Give m(b(r)).\nAnswer: 26*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 less than -3616353?\nAnswer: -3616370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -657168738492024 - 3.\nAnswer: -657168738492027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*-0.104.\nAnswer: -0.01872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9)*-1) + -4.\nAnswer: -4 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -135, 19318*b = 4*i + 19311*b + 97 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101\/303 - 26\/(-12))\/(43 - (8 - 0)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1822 + 0.1178. Let o be 3\/90*(-2 + 6). What is the biggest value in s, 4\/15, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76461 and 66.\nAnswer: 152922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37275 - 31747.9. Round q to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/27*(-42)\/35.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.99 - 26.99. Which is the nearest to 0? (a) 0.05 (b) n (c) -2\/23 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -145*b**2*q - b**2 + 1002*b*q + 2*b - 9623724*q wrt b?\nAnswer: -290*b*q - 2*b + 1002*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 4318120 - 4045880 = 0. Round o to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2864*f + 2820*f - 528 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 100850769*d**2 - 100850769*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8522*83.\nAnswer: 236.7326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137484 is divided by 1250.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15 = -q, -33 + 8 = -3*l - q. Calculate the lowest common multiple of l and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -9*m**2 - 98*m - 91. Calculate w(8).\nAnswer: -1451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9218204 - 20301148*m - 6514*m**2 - 11801*m**2 + 3520033*m - 5*m**3 - 25981009.\nAnswer: -5*(m + 1)*(m + 1831)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/13768 and 59\/1896.\nAnswer: 3263016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.3 (c) -2\/2752903\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i - 5*n + 2492, 0 = i - 5*n - 844. What are the prime factors of i?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*f**2 - 418*f + 177836 - 89373 - 2*f**3 - 89431 = 0.\nAnswer: -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 16 = 11. Solve 5*g - l*r = 2*r - 5, g = 4*r + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16175 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**4\/8 - 67*h**3\/6 + 38*h**2 + 1. Differentiate t(k) wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 8*x**5\/5 - 179*x**4 + 354*x**3 - 529*x**2\/2 + 88*x - 383. Suppose a(y) = 0. Calculate y.\nAnswer: 1\/2, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**3 - k**2 + 4*k - 4. Let g be j(1). Suppose 105 = 5*v - 3*s, -v + g*s + 17 + 21 = 0. Solve 5*t - v = -8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 47*h - 1. Let i = -356 + 357. What is p(i)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(3\/5))\/(o*o*(o*o\/((o\/o**(-1\/3))\/o))\/o))\/(o**(-1\/4))**(-7\/4))**(9\/2) assuming o is positive.\nAnswer: o**(-1947\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(2025) - -4*(sqrt(2025) - 3*sqrt(2025))) + sqrt(2025))\/(sqrt(1620)*-4))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1 + 10*t**2 + 5 - 4 + t. Let f be y(3). Let i = -14 + 33. Calculate the greatest common divisor of i and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*n = -104, 3*k - n - 78 = -4*n. Calculate the common denominator of -119\/6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -18*h**2 - 4*h + 3. Let g(v) = -37*v**2 - 9*v + 7. Let p be (-12)\/(-1) + (-2 - (-19 - -26)). Determine p*g(f) - 7*x(f).\nAnswer: 15*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -72. Let s = b - 34.1. What is the nearest to s in 4, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a68 (base 16) to base 3.\nAnswer: 112220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1070182 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 19*b - 21*b. Put 0, 32, b in increasing order.\nAnswer: 0, b, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32758.64nm in meters?\nAnswer: 0.00003275864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 1. Suppose -5*c = -10*c + 10. Let x(f) = 2 - 8 - 8*f**2 + 2 + f**c. Suppose -5*i + 31 = -0*i - a, -5*i + 4*a = -34. Determine i*p(j) - x(j).\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/91152 and 113\/7296.\nAnswer: 13855104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1364 and 154616.\nAnswer: 4793096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-815)\/(-4))\/((-7)\/(-28)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/((-1)\/14). Let z = 24 - t. Suppose l - 3 = z*j, 3*l + 5*j - 43 = 2*l. Calculate the remainder when l is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -14, 4\/5, 11\/3, 1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 (base 9) in base 6?\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 2:42 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = d + 8. Let q = -18 + d. Suppose 0 = -4*n + q - 0. Solve n*j = 5*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461 = -5*v - 3*d - 455, d - 2 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 121388*n + 1841880818.\nAnswer: 2*(n + 30347)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from ummumm?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2712 * -3.54\nAnswer: -9600.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 53 + 54 - 96 + 0*t.\nAnswer: -t + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1656028*z - 1656022*z + 21*z**3 - 3*z**3.\nAnswer: 18*z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 39. What is the least common multiple of ((-10)\/18 + 1)\/((-1394)\/(-43911)) and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 44 = -5*a, 4*a - 5*c - 37 = -0*a. Calculate the highest common factor of 32 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Let g(a) = 5*a**2 - 11*a + 14. Let c(b) = -9*b**2 + 19*b - 27. Let v(f) = 4*c(f) + 7*g(f). Determine v(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**5\/60 - b**4\/18 + 7*b**3\/18 - 2*b**2\/3 - 10*b - 1. Factor m(g).\nAnswer: -(g - 1)**2*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -38 (b) -85 (c) -8\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l + 52*l + 5*v = -106, 15*v = -2*l - 28 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 18*a**2 + a - 23. Let k be p(18). Suppose -g + 9 = 4. Put g, k, -2 in decreasing order.\nAnswer: g, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 9) to base 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 3:15 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2 (c) 0 (d) 226 (e) -0.5 (f) 8 (g) 3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -693\/5 - -139. Suppose 3*v + 2 = -5*f - 13, 4*f - 4*v = 20. Suppose 0 = -2052*s + 2041*s. Which is the closest to s? (a) f (b) -11 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -6) + -15 + (-7 - -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 154286*c + 4. Let s = 9 + -23. Let m be d(s). Round m to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/55 and -73\/16502730.\nAnswer: 181530030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 2, o: 6, p: 3}. Give prob of sequence pb.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.63522624 rounded to 3 dps?\nAnswer: 1.635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r - 47. Let s be j(6). Which is bigger: s or -25?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (279 - 290) + -3 + -33 + 89?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1 - 10 - 5*t + 6 + t**2 - t. Let v be r(8). What is the derivative of -v - f - 20 + 9 wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5951, -5914, -5877, -5840?\n\"Answer: 37*m - 5988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*q*s**2 - 2*d**2*q*s - 361*d**2*s**3 - d*q*s + 82*d wrt s?\nAnswer: -2*d**2*q - 2166*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*u + 9, -2*i - u - 3 = -7*i. Solve -2*h + 2*b = -i*b - 6, 3*h + b = -3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 11:28 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312 + -312 - (-7 + -6 - 12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f = -16. Is (f\/10)\/((-5)\/150) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 3*i**2 + 6*i. Let q(g) = -56854*g**2 - 56851*g**2 - 2*g + g**3 + 3*g + 113704*g**2. What is 6*q(y) + 2*w(y)?\nAnswer: 2*y**3 + 18*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 100 = 5*y - 285, 231 = 3*a + 2*y. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -51. Let g = r - -28. Calculate the highest common divisor of g and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 + 0.2. Let d = b - -35.65. Let m = -35.973 + d. What is m rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 185\/(-74)*(-6)\/10. Let n(o) be the first derivative of 7\/12*o**3 - 4 - o - g*o**2. Factor n(x).\nAnswer: (x - 2)*(7*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 4*a - 4*a)*(-4 + 1 - 6)*(a**3 + 0*a + 0*a).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 1.023456320124?\nAnswer: -3.023456320124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 0*g**2 + g**2)*(-2*g - g + g) - g**2 + 9*g - 15092*g**3 + 12*g**2 + 15090*g**3.\nAnswer: -8*g**3 + 11*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.2 + 10. Let z = 1.08 - a. Let g = 0.02 + z. Are -0.1 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8194?\nAnswer: 2, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-4))\/(2\/(-6632)). Suppose -j = -4*l + 527. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 16*k + 0*k**2 - k**3 + 3 - 3 - 11*k**2 - 3. Let l be o(-12). Let v = -35 - l. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442908 is divided by 110595?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4*56\/(-96)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -343589 (base 14) to base 12\nAnswer: -718071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 14.86. Let v = -0.1399993 - i. Round v to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(8*6\/(-12)). Suppose r = -13*g + 33*g - 22420. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(33\/4))**(-5)*(x\/(x**(8\/9)\/x))\/x*x*x**(-3\/10)*x assuming x is positive.\nAnswer: x**(-7099\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -1 (b) 5 (c) -0.11 (d) 1\/3 (e) -341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53620425.\nAnswer: 3, 5, 238313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, -6\/7, -13, 4 in descending order.\nAnswer: 4, 1, -0.1, -6\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 36 - 11 = 0. Suppose -p*a + 22 = 7. Sort -4, a, 0.5 in decreasing order.\nAnswer: a, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 16. Let z(u) be the first derivative of -10 + d*u - 2*u**5 + 4*u**5 + 0*u. Differentiate z(a) with respect to a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j + 44. Let q be b(10). Suppose 5 = -r, -q*g = -5*g - 5*r - 18. Suppose 7*a = -g*a + 2422. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(1100) + 4)*5 + 3)*-6)**2.\nAnswer: -82800*sqrt(11) + 1009044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 4*c**2 - c - 3. Suppose 0 = -6*q - 4 + 34. Let h be v(q). Let i = h - 74. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjvvllvfbvwwwvj. Give prob of sequence vwvv.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((488\/(-224))\/(-61))\/(1*-1))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.2, -13, -0.1, -141\/10, -150?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 + 10.14. Let z = t - 10.4. Suppose -15 = -4*l - p, l - 4*l - p + 10 = 0. Which is the closest to 2? (a) -2\/13 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/81 and (-5)\/(16 - 36) - 266\/48.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggybh. What is prob of picking 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5597943 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -36\/5, 7, 2\/13 in decreasing order.\nAnswer: 7, 2\/13, 0, -36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*q - 12 = 0, 62*q - 7 = 2*u + 57*q for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -20*u**2 + 4*u - 6. Let g be f(-5). Let d be g\/(-4) - (-9)\/6. Let m = d - 54. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128495, -128503, -128515, -128531, -128551?\nAnswer: -128575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1370*u**5 - u - 50 wrt u?\nAnswer: 27400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + sqrt(36)*-3)\/sqrt(2))\/sqrt(9).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**4 + 2*v**2 + 14*v**3 - 11*v**3 - 5*v**3 to h*v**3 + q + p*v**2 + i*v**4 + w*v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 90. Which is the nearest to n? (a) 2\/3 (b) 1\/7 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + 6a48?\nAnswer: 6a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + -67c?\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/15 and -330 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 4*h + 11, 0 = z + 342*h - 343*h + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 - 6) + -6 - (-2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (260\/39)\/10*3\/(-20)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/55 - (-26)\/10. Find the second derivative of 5*u**2 - 2*u**v + 4*u**2 + 6*u**2 - u wrt u.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-16)*m**(-3\/19)\/(m\/(m\/(m**(-4\/3)\/m))) assuming m is positive.\nAnswer: m**(1948\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527165851.\nAnswer: 527165851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e7f (base 16) in base 9?\nAnswer: 23846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 59*t - 1040728 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 221 = -155 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*n = -8375, 0 = 3*n - 4*n + 2. Let l = q - -243. Suppose -3*p = -7*p + l. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -6)\/((-4)\/2). Suppose -h*f + 11 = c, -c + 6*c = -f + 10. Suppose -203 + 192 = -11*s. What is the smallest common multiple of s and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*v + 56*v - 3874 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.015 - -0.0221. What is h rounded to 4 dps?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-3\/19)))\/j**(-2\/41))**(-2\/41) assuming j is positive.\nAnswer: j**(170\/31939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 42648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -18. Let v(q) = -3*q**2 + 4*q - 5. Let p(o) = 2*o**2 - 3*o + 4. Give g*v(s) + 5*p(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-30))\/(16\/88). Is -1 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55849?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 25. Let w be l(-10). Put w, 1, -4 in descending order.\nAnswer: w, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14845, 29694, 44543?\n\"Answer: 14849*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010895?\nAnswer: 3, 5, 19, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -415, -474, -649, -1000, -1587?\n\"Answer: -10*y**3 + 2*y**2 + 5*y - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 417 + 413 = 0, -5*z - 482 = 66*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 42*o**2 + 11*o + 12. Let v be m(-1). Solve -3*u = -34 + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.323 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-10)*((-84)\/560)\/((-2)\/10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-61 - (39 - 99)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 10:48 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 389 = -2*q - 2*q, -5*l - 2*q + 1999 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/h**(-5\/7))\/h))\/(h\/(h*h**21)))\/(h**(-4\/9)\/h*h)**48 assuming h is positive.\nAnswer: h**(895\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j + 2. Give s(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 9*k**2 + 4*k - 1. Let u be (18\/(-10))\/(2\/(-10)). Let y be d(u). What is the highest common divisor of y and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 3\/7, -5, -1, -12733\/16 in ascending order.\nAnswer: -12733\/16, -5, -1, 3\/7, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-2 + 8 + -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2853*v - 2776*v + 41 - 346. List the prime factors of u(24).\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000936847 to seven dps.\nAnswer: -0.0000937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4708)\/33)\/(4\/(-6)). Suppose 8*q = 194 + c. Suppose -q - 129 = -3*r. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 8*i**2 - 4*i - 17. Let p be j(7). Suppose 0*l + p*l = -56. Let d be (l - (0 - -1))*5\/(-15). Solve -5*b + d = 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 8*q**2 - 2*q - 3. Let z be x(-8). Let l = -129\/10 + z. What is the common denominator of 23 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -475*c + 24643. Give x(50).\nAnswer: 893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/2*2\/3. Suppose l = -6*t + 2*t + 18, -4 = -t. Is l equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 5*a + 37. Let i(u) = -u + 9. Determine -2*f(d) + 9*i(d).\nAnswer: -2*d**2 + d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3))\/((-7)\/105). Suppose 0 = 3*l + l + 16, -u + 20 = -o*l. Solve u*n = -n - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84789727 is divided by 669.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -10 + (5 - 1). Let h(v) = v**2 + 3*v - 3. Let b be h(y). Calculate the greatest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -15, 4*g + 834*o - 833*o = 67281. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 2\/3, -7, 0.1, 3\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8060677 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*(-7)\/(28\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = -2. Suppose -p*v = -2*v - 75. Solve 5*z + a = 4*a + 15, -5*a = -3*z + v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 2*b + 4*b)*(-3*b**2 + 2*b**2 + 6*b**2).\nAnswer: 10*b**3 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35942*f**2 - 4*f*s - 17*f + 13*s + 676929 wrt f.\nAnswer: -71884*f - 4*s - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 14*r. Let i(n) be the first derivative of 41*n**3\/3 - 3904. Give i(x(l)).\nAnswer: 8036*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, -72, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41\/260 - 3\/52. Let k(q) be the second derivative of 2*q + 0 - t*q**5 + 0*q**3 + 0*q**2 + 1\/6*q**4. Factor k(l).\nAnswer: -2*l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1837 less than -6.5?\nAnswer: 1830.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50484, -50486, -50492, -50502?\nAnswer: -50516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*p + 1640 = 71*p. Let s = -170 - p. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 673, 1332, 1991?\n\"Answer: 659*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50912 divided by 16?\nAnswer: 3182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -529*j**3*n - 4*j**3 - 4*j**2*n + 3*j**2 + j*n + 138 wrt j?\nAnswer: -3174*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/7)*i**15*i assuming i is positive.\nAnswer: i**(116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -71?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 315088900 to the power of 1\/3, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200201220002020 + 1?\nAnswer: -200201220002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n - 52. Let m be y(-22). Let j = 159 + m. Let h = 5 - 12. Which is bigger: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2\/9, -6064, 3\/17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*j + 5*n + 27, -3*n - 21 = -3*j. Is 0\/j - (-12 + 8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38146753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, s: 6, h: 5}. Give prob of sequence hsss.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218597.\nAnswer: 47, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o**2 - 3841*o**3 - 2 + 3 + 15*o + 2 + 4*o**2. Let n be v(13). What is n rounded to the nearest 100000?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6919 divided by 1?\nAnswer: -6919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -47504 times -10\nAnswer: 475040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1340, -11084, -37532, -89036, -173948, -300620?\n\"Answer: -1392*d**3 + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y - 2. Let n be u(-5). Let q = -10 - n. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2213095 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + 1.1. Let g = -0.152 - -0.072. Let p be 260\/120 + 1\/3. Which is the closest to i? (a) -3 (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 5*m**2 + 2*m - 8. Suppose 5*t - 8*t = 12. Let s be b(t). Solve s = -w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l**2 + 9*l**2 - 20*l + 34*l**3 + 28*l. Let w(a) = 23*a**3 + 13*a**2 + 5*a. Let i(m) = -8*w(m) + 5*y(m). Find the third derivative of i(u) wrt u.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 7*q - 22032. What is o(145)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -150, -699, -1612, -2889, -4530, -6535?\n\"Answer: -182*y**2 - 3*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2251*c**2 + 3 + 2244*c**2 as s*c + f*c**2 + m and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 932049383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 1:39 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/6793?\nAnswer: 2\/6793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from dzvvvsdztvvgz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 52, 93, 146?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*g - 1 + (-1 + 5 - 2)*(5*g - 4*g + 0*g) - 5*g + 0*g + 4*g - 1 - g + 1 + (1 - 2*g - 1)*(0 + 1 + 0) + (3 - 3 - 1)*(-3 + 3*g + 3).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6235087*b + 1958 = 6234909*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4.3, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 - -2. Let w = 0.6 - z. Let o = 0.1 - w. Which is the second smallest value? (a) 0.2 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055 plus 3152131959?\nAnswer: 3152131959.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 66678*d - 133368.\nAnswer: 3*(d - 2)*(d + 22228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 43*b + 47. What is the units digit of y(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14868 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5434 + 5434 + 131*i**2 - 2*i**2.\nAnswer: 129*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 78*d + 161*d = 82*d - 41, 4*d + 208 = 10*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -40.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136200 - 136204. Suppose y = -0*y - q - 1, 5*y - 1 = q. Which is the nearest to -0.2? (a) y (b) -3 (c) -1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 44 = 3*f, 5*s - 7 - 124 = 3*f. Let o(c) = -c**3 - 10*c**2 - 9*c + 9. Let y be o(-8). What is the remainder when 1\/(1*(-1)\/y) is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 12*j**2 - 6*j + 5. Let r(y) = y**2 + y - 1. Let m be (-37 + 24 - (-14)\/(1 - -1))*1. Give m*r(g) - a(g).\nAnswer: -g**3 + 6*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.582 - -0.182. What is the nearest to -14 in q, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 k, and 1 z when three letters picked without replacement from {k: 1, x: 2, g: 1, z: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3100*n = -7335*n - 10130*n - 1028250 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*f - 41, -s + 1 - 4 = 0. What is the units digit of 2\/(-11) - (-19945)\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -39.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236\/30 + (-52)\/(-390).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(99)*1.\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 8*u**2 + 5*u + 37. Give i(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 16*k**3 + 76\/3*k**2 - 16\/3*k**4 - 2\/3*k**5 - 46\/3*k = 0. Calculate k.\nAnswer: -10, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfqn when four letters picked without replacement from ccwncifiqccnqcc?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-273)\/392 - (-12)\/21?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 14340*a - 2 + 14339*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10643, -2, 3 in increasing order.\nAnswer: -2, 3, 4, 10643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-882))\/(11*(-465)\/(-2387)).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 201 + 195. Solve l*c = -2*d + 4*c, 2*d - c = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 33 + 3 - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuux when four letters picked without replacement from xxxxxxxxxuuxxxxxux?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-10)\/(-5)*2\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1\/6 (b) -0.4 (c) -1300 (d) 1\/2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 583491258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1705*i - 1706*i + 1 - 12 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2 - 9 + 6*d + 22. Let b(m) = m + 2. Let l(p) = -11*b(p) + 2*r(p). Let t(u) = -2 + 6*u**2 + 2. What is t(l(v))?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4663233 times -74\nAnswer: 345079242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 588 + 96 = 0. Let v = 6 - k. List the prime factors of v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)\/n)**(-44)\/((n*(n**(-1\/4)*n)\/n)\/(n**(-9\/4)*n*n)) assuming n is positive.\nAnswer: n**(303\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -2) + (-4644)\/(-180) + (-6)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*c - 21 = -0*l, 0 = 5*c - 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 9*z - 5. Calculate u(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -703 by 5.\nAnswer: -703\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3*127\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*y + 108*y + 25 = 0, 463 = 2*m - 3*y. What is the highest common factor of 70 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(139\/(55461\/14)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15 - 5*1\/10*8. Suppose -93*r = -85*r - 264. What is the greatest common divisor of i and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824908 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + d)*(2*d**2 - d + d) + (-2*d + 4*d - 8*d)*(d**2 - 2*d**2 + 4*d**2) + 0 + 0 + 2*d**3 in the form m*d**2 + g + y*d**3 + w*d and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*h**3 - 495*h**3 - 221*h**3 + 137*h**3.\nAnswer: -931*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 693, 3, 49, -2 in decreasing order.\nAnswer: 693, 49, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r - 2. Let l(h) = -160*h. Let z(o) = 7*o. Let j = -147 + 192. Let m(d) = j*z(d) + 2*l(d). Determine m(f(s)).\nAnswer: -20*s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.453 rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z - 15 = 0. Find the second derivative of j + j - j**z + 3*j**5 wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1672 from 88992.\nAnswer: 87320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 o when three letters picked without replacement from {o: 5, b: 9, e: 3, c: 3}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + -5.04. Let z = 4.8 + i. Let w = z - -0.5. Is 2\/3 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*y = -67 - 304, 0 = 5*q - 2*y - 386. Let s(t) = -5*t - 1. Let b be s(-4). What is the greatest common divisor of q and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/(-6560)*1\/5)\/((-4)\/40)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-210)\/90 - 1\/(-3). Let x(c) = -c**3 + 5*c**2. Let o(l) = -l**3 - l**2. Determine q*o(b) - x(b).\nAnswer: 3*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 8:48 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 472*r**2 + 89*r + 368. List the prime factors of z(-9).\nAnswer: 37799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*j + 2*j = 66, 0 = 5*v + 4*j - 235. Let n = 39 - 21. What is the remainder when v is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = -3*q. Let x be (-3 + q)*12\/(-4). Let s be 4\/3*18\/x. Solve v = -v + s, -o + 4*v = 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 8. Let w be 9 + 6\/(-2) + 0 + -3. List the prime factors of (t - 3)*w - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 1) + (21\/((-1575)\/800))\/((-665)\/(-627)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 10343031434?\nAnswer: 10343031433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 51 = -27*h. Let r(d) = d + 17. Let k be r(0). What is the greatest common divisor of k and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(1 + -4 + 2). Solve -3*z - 5*o + 2*o = r, -3*z - 5*o - 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = t - 28, -4*t - 4*d + 977 = 1045. Which is smaller: -265 or t?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 223 and 143612.\nAnswer: 143612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -31. What is the closest to -1 in 1, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 1. Let p(k) = -12*k + 5. Let i(d) = -2*b(d) + p(d). Find the first derivative of i(o) wrt o.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78953298 or 78953300?\nAnswer: 78953298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4 - 4209*k**3 - 436794*k**2 + 221555*k + 219450 = 0.\nAnswer: -1995, -110, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 432454499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5210215 is divided by 1155?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 13 - 132 = 5*q, 5*q = -25. Solve -a + u = 18 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 + 2*n - 2. Let z = 3 + 2. Suppose -z = -4*o + 7. Suppose o*y + 8 = 3*d + 2, 4*y - 5*d = -12. What is r(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57263 - -5?\nAnswer: 57270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrmm when four letters picked without replacement from gggzmzgmzmzrg?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*o + 50 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2649, 2645, 2631, 2601, 2549, 2469?\n\"Answer: -r**3 + r**2 + 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4526*a + c + 28 = 4526*a, 3*c = a - 86 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**5\/20 - d**4\/4 + 2*d**3\/3 - 3*d**2\/2 - 6*d - 6. Let w(j) be the first derivative of s(j). What is w(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19357183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = 4*l - 2*l, -16 = 5*m + l. Let c = 11.19 - 0.19. Sort c, 1\/4, m in decreasing order.\nAnswer: c, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*c + 399, 9*q - 5*q - 5*c = -559. Let z = q + 847. Does 79 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-10)*(-1)\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*l**2 + 4*l**2 + 34*l**2 + 2 - 23*l - 2 + 5*l**3 to the form h + n*l**2 + t*l**3 + v*l and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**5 + 1731*i**4 - 22*i**3 - 28880*i**2 + 329?\nAnswer: -180*i**2 + 41544*i - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/sqrt(2)*-6)\/(-2*sqrt(90) + sqrt(90)) + (sqrt(144)\/sqrt(108))\/((sqrt(486) - sqrt(486)*-2 - sqrt(486)) + sqrt(6)))**2.\nAnswer: 26450\/3249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 24. What are the prime factors of r*(3 + -4) - -52?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272757, 272729, 272691, 272649, 272609, 272577, 272559, 272561?\nAnswer: 272589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20034, 1256, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-30)\/3)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1453955, -1453968, -1453989, -1454018?\nAnswer: -1454055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -0.5, -12736?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-7\/4))\/z)\/z**(1\/8)*(z\/(z\/z**(-6)))**0 assuming z is positive.\nAnswer: z**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2509800 rounded to the nearest 10000?\nAnswer: 2510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) 5 (b) 2\/15 (c) -1\/3 (d) 2 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u - 1. Let x(d) be the second derivative of -2*d**3\/3 - 2*d - 40. Calculate -2*w(v) + 5*x(v).\nAnswer: -6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 13959*c**2 - 13928*c**2 - 2.\nAnswer: 31*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -19*d + 132. Let k be q(7). Let x = -63467 - -1141799\/18. Let c = x - -101\/3. Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7089 + -7083. Solve -18 + 48 = u*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33555161 + 3187609292\/95. Let s = m - -1379. Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6000637 minus -1994?\nAnswer: 1993.3999363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 5*g**5\/12 + 18*g**2. Let r(i) = -i. What is r(o(p))?\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*y - 6194 = -34696, -3*j + 28547 = -4*y. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2\/7 - 26706*b\/7 - 59434203\/7 = 0.\nAnswer: -4451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from {n: 5, q: 4, t: 1, r: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w + 5*p - 15, 0 = 5*w - 4*p - 9. Solve w*g - 34 = -3*z, z - 31 = -z - 5*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6. Let y = 54 + -57. Let k(b) = 2*b - 16. Let z(l) = y*k(l) - 8*o(l). Let v(a) = -10*a. Determine v(z(p)).\nAnswer: 60*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*w + 86 + 475 = 635*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/((-5)\/(-140*1)*1176\/98).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -8*f**3 - 25*f**2 + 12318. Let w(j) = 4*j**2. What is q(w(k))?\nAnswer: -384*k**4 - 200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w. Give v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-135)\/10*(-16)\/12. Suppose 0 = 9*b - 9 - k. Solve b*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16501447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 30*z**2. Let h(p) be the third derivative of p**4\/24 - 43*p**2. What is h(u(a))?\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11175*y + 111749. Calculate s(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 266\/(-57) - 10\/(-6). Sort u, 0, -173.\nAnswer: -173, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -15, -1.5, 218\/7?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 4*g**3 + 17 - 34.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155768, 155819, 155870, 155921, 155972?\nAnswer: 156023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i - 70. Let w(n) = -2*n - 23. What is 3*b(r) - 10*w(r)?\nAnswer: 2*r + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((2*-1*sqrt(198) - sqrt(198) - sqrt(198))\/((sqrt(216)\/sqrt(4))\/sqrt(9)))\/(-2*sqrt(396)*6*-6))**2.\nAnswer: -11663\/3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -552.6261 - -542.32. Let z = 10.256 - -0.044. Let k = a + z. What is k rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-4 - -237) + 6 + -6 and 2.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0 = 52. Let o(h) = -h**2 + 4*h + 3. Let v be o(7). Let t = y + v. What is the greatest common divisor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15516555?\nAnswer: 3, 5, 433, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30917848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -213180.4 minus 19?\nAnswer: -213199.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/(-27))\/((-1)\/(-46)) and 10\/15 - 562\/(-48)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*z - 67*z - 78*z - 49*z)*(-2 + 4 + 0).\nAnswer: -350*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1493241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.659, -0.5, 130.87, 1?\nAnswer: 130.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 1387, 4731, 11243, 21979?\nAnswer: 37995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**3 + 3*n**2 + n + 9. Determine p(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -218 + 218.1. What is the nearest to 0.1 in -3, -3\/2, p, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f - 8. Let v(x) = -x - 1. Let r(o) = q(o) - 5*v(o). What is r(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**(-39\/2)*(i\/i**(-1\/4))\/(i*i*i\/(i\/i**(-2\/3))) assuming i is positive.\nAnswer: i**(155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -14 (b) -3\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 + -67. Is 43 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1141214 - 23?\nAnswer: -1141242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -13*b**2 + 25*b + 57. Let o(z) = 37*z**2 - 67*z - 170. What is -6*o(l) - 17*p(l)?\nAnswer: -l**2 - 23*l + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 27\/81*(-5 - -98).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 4. Let d(k) = -1. Suppose y + 3*y - 4 = 0. Let z(o) = y*g(o) - 4*d(o). Determine z(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5296162 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 23 + 9\/49*q**7 + 0*q**3 + 1\/21*q**4 - 52\/105*q**6 - 2*q + 23\/70*q**5 + 0*q**2. Factor z(k).\nAnswer: 2*k**2*(k - 1)**2*(27*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 306\/247 or -0.5?\nAnswer: 306\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n - 2. Let j(h) = h. Let o(f) = -2*j(f) - p(f). What is the derivative of o(q) wrt q?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v + 110. Give b(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + -3.6. Let d = -1.39 + -0.01. Let y = -1 - d. Which is the smallest value? (a) y (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-90))\/(4 + 72\/(-20)). Let l(k) = -2*k**2 + 65*k + 35. Let s be l(33). Factor -g*c - 2\/9*c**s + 0.\nAnswer: -2*c*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000074613 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -713\/3155 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 4*h + 270 - 280, 0 = -5*l - 3*h - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*q - 30. Let h(w) = -2*w**2 + 16*w - 18. Let b(r) = -r + 1. Let v(g) = q*b(g) - h(g). What is the tens digit of v(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxllxlxxglglg. What is prob of picking 1 g and 1 x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -180*y - 199*y + 18 + 72 + 423*y + y**2. Determine l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1883, -2035, -2187, -2339, -2491?\n\"Answer: -152*k - 1731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**3 - 7*b**2 + 5*b - 6. Let u(v) = -6*v**3 + 6*v**2 - 4*v + 5. Calculate 5*n(d) + 6*u(d).\nAnswer: -d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**6\/48 + y**5\/2 - 9*y**4\/8 + 9*y**2. Let b(l) be the second derivative of w(l). Differentiate b(p) with respect to p.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19585 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 + -49. Suppose 0 = 3*g + 3*x, g + 35 = 3*g - l*x. Let v be 1\/(g\/30*-14). Which is the closest to -2\/7? (a) v (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (540\/(-42))\/((-15)\/2170).\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 39*h + 10296 = 0. Calculate the remainder when h is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**2*o**3 + 21486365*k**2*o + 340532*o**3 wrt o?\nAnswer: 30*k**2*o + 2043192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from {c: 4, f: 2, t: 4, a: 1, z: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.7087881.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(14)\/sqrt(2) + 0 + sqrt(7) + (sqrt(7) - (sqrt(7) - (4*sqrt(7))**2)) + sqrt(7) + 4.\nAnswer: 3*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.16 and -72?\nAnswer: 71.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.79851 millilitres in litres?\nAnswer: 0.03779851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (20\/(-16) + 6\/(-8)). Let d(t) = 3*t**2 - 3*t + 4. Let l be d(2). Solve 0*z - s*z = l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -116, 158, 820, 1990?\nAnswer: 3788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzhtqh. What is prob of sequence qz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 6*i + 3. Let v(z) = -4 + 0 + 4*z**2 - 3*z**2 - 6*z. Let f(b) = 6*q(b) + 5*v(b). Give f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c**2 + 0*c**2 - 2*c**2)*(8*c + 0*c - c) + 2*c**3 - 4*c**3 - 2*c - 12*c as s*c + t*c**2 + b + v*c**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14695 - -2476. Which is greater: -12218 or k?\nAnswer: -12218","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*k + 1. Let u be 20\/k*(1 + 1). Let b = 3 - 2. Sort -1, u, b.\nAnswer: u, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:57 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4968*s + 3. Is m(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76426731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 208, 220, 236, 256, 280, 308?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43191?\nAnswer: 3, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (180\/(-16))\/(-9) + -1. Suppose -2*k - 8 = -2*v, 2*v = 3*k + 5 + 3. Which is the nearest to 0.02? (a) v (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 166 - 5?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2321323 (base 4) to base 2\nAnswer: 10111001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, -32 in increasing order.\nAnswer: -32, -19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssswwsywswwwsssysyys. Give prob of picking 3 y and 1 w.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/10)\/((-358)\/1790)*(-2 + 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -98. Let k = i + 1988\/51. Let p = k - 5\/51. Put -7, 3, p, -0.2 in increasing order.\nAnswer: -7, -0.2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 1372112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s + 49*s + 0*s + 0*s.\nAnswer: 71*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -677935*v**2 + 103*v + 95930151?\nAnswer: -1355870*v + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3, -0.1, 3, 1\/128?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8673 and 16376689?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 4*d**2 + 5*d + 10. Let s be f(4). Let g = 133 - s. Suppose -36*h = -g*h. Solve -3*l = -0*l - 4*q + 15, -3*q = h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96\/5*v - 48*v**2 + 1216\/5*v**3 + 32\/5 - 1542\/5*v**4 + 126*v**5 = 0.\nAnswer: -2\/7, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 69\/2 of a second?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77932 is divided by 1256.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + k**2 + 6*k + 10. Let a(j) = 3*j**3 + 6*j + 11. Let y(u) = -3*a(u) + 4*p(u). What is the units digit of y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhxhaxxahhxhhhhxxhh. What is prob of picking 1 x, 2 h, and 1 a?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3780, 3996, 4212, 4428, 4644, 4860?\n\"Answer: 216*v + 3564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, -10774, 0.348 in decreasing order.\nAnswer: 4, 0.348, -0.5, -10774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/47? (a) 5 (b) -17\/6 (c) 1\/12 (d) 2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. Let j = n - 6. Let i = -1 + j. What is the second smallest value in i, 2\/21, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 1:58 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.7966 take away 1656.4?\nAnswer: -1692.1966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 12*u - 15*u + 21, 26 = 5*u + 2*w. Let f(v) = 2*v**2 - 5*v + 3. Let q be f(3). What is the first derivative of 21*y + u*y**3 - q - 21*y wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 15 + 14 = 0. Let i(z) = -z**3 - z**2 - z - 1. Let s(v) = 4*v**3 + 3*v**2 + 7*v + 5. Determine m*s(g) - 3*i(g).\nAnswer: -g**3 - 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50711 >= 50759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 11*p - b, 4*p = -50212*b + 50211*b - 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (6 - 3 - -4). What is the remainder when 0 + 6\/t - (-231)\/4 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11\/x*x*x**9)\/(x*x**9)**(-38) assuming x is positive.\nAnswer: x**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.9 or -74.4589?\nAnswer: -74.4589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*s + 13*s**3 - 8*s**5 - 13*s**3 wrt s.\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38526209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/(-280)*14\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 201201121?\nAnswer: -201201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 4\/3, 2\/5, -0.4, -3\/7, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 123.4 = -16\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lxlqhqltqthq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**3)\/(i*i**(-2\/19)\/i))\/(i\/(i\/((i*(i**(2\/5)\/i)\/i)\/i)*i))**2 assuming i is positive.\nAnswer: i**(884\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 2, 54748, 3, -5, 0 in decreasing order.\nAnswer: 54748, 4, 3, 2, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-1 + -5 - (sqrt(98) + sqrt(98) + 1 + -3))*4.\nAnswer: -84*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54*o**4 + 98*o**3 - 10*o**2 + 4*o - 117840352?\nAnswer: 216*o**3 + 294*o**2 - 20*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/51 and -37\/81.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 - -123. List the prime factors of t\/(-10) + 6438\/145.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(0*x - 2 - 5*x + 3*x + (-4*x + 4*x - x)*(4 + 3 - 5)).\nAnswer: 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 4*v**2 + 2*v + 4. Let m be x(-4). Let w = 64.19 + -69.19. What is the nearest to m in w, 5, -2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**4 + 1488*f**3 - 94415*f**2 + 798276*f + 3284820 = 0.\nAnswer: -3, 14, 55, 1422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/8)*f**10*f)\/(f*f**6)**(-3\/10) assuming f is positive.\nAnswer: f**(549\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1278 + 2904. Suppose 5*b - y + 637 = 2*u, 3*u + 1496 = -5*b. Is 13 a factor of u\/(-28) - 1\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k - 12 = -52*k. Let p(w) = -2 - 68*w**3 + 2*w - 71*w**k - 74*w**3 + 212*w**3. What is p(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 4)*3*-2. Suppose 0 = -y - y + r. Solve -u = -6*u - y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.838 * 0.3\nAnswer: 0.8514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p + 32. What is s(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181405?\nAnswer: 5, 7, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104047 - 208099 - 40*q**3 + 104127 to the form x + h*q + o*q**2 + g*q**3 and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1882763229.\nAnswer: 3, 521, 1204583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 40 = -5*k, 5*k + m + m - 35 = 0. Suppose 0 = -n - 2*n + 54. Calculate the greatest common factor of k and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99901 + 164206 = 6539*j + 81015 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k**3 - 3*k**2 + 50*k - 147. Determine o(3).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 + 2 - 17*v**2 - 10*v**3 - 62*v**3 + 1 + 2*v**3 wrt v.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 105.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/19 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + 15. Let x be 9*(1 - 4\/6) + -1. Suppose 0 = -3*n - 3*t + 9 + 33, -3*n - x*t + j = 0. What is the smallest common multiple of n and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*o - 53 = -i + 1309*o - 654*o, -2*i - 2*o = 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) + 13742\/(-23940). Let f = -2\/171 + d. Suppose -q + 0 - 14 = -3*h, 5*q + 60 = 5*h. Are h and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 50. Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**2. Let b(x) = -50*x**2. Give b(j(p)).\nAnswer: -1800*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*z - 40*z**3 + 46*z**3 + 17*z + 47*z**3.\nAnswer: 53*z**3 - 29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22782 and 348.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -8)\/((-8)\/18 + (-1652)\/(-2016))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from dlddld.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1197)\/(-98) - 13 - (2 - (-32)\/(-14)). Which is the nearest to -540? (a) n (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - w = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32222381 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431.4907l to millilitres.\nAnswer: 431490.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1913, 4, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, 11, -1\/683?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 4*a + 3. Let l be s(4). Let j(r) = r**2 - 5. Let o be j(5). Let t = -2 + o. Solve 0*y + t = -4*y - 2*c, 5*y - l*c + 17 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 50 = -2*d. Suppose -t + d = 5*t. Suppose -5*g + 47 = 17. Solve -2*c = -0*z - 2*z + 6, -3*c = t*z - g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from xxxxpxxppxp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (564\/(-14))\/((-81)\/378). Let d = s + -187. Let q = -2 - -14. Calculate the remainder when q is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 4*h**2 + h - 3. Let q be u(4). Suppose d + 2 = q. Let j(t) = 1 + 3 - 3 + 2*t. Determine j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 - 106*v**2 - 3*v + 164. What is j(53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**2 - o + 3. Let b(z) = -3*z**2 - 1. Let s(a) = -7*b(a) - 2*t(a). Calculate s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -758 - -1188. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 25*n + 1. Give h(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + 1059 - 3945 + 963 + 959 + 964.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 j when three letters picked without replacement from {j: 5, a: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18 + -14 - (-6)\/(-2). Let g(c) = 3*c + 2. Let a be g(i). Suppose 8*p - 10 = 3*p. Solve a*s + 3 = 2*k + 2*k, 3*s + 1 = p*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -25*x - 345. Determine a(46).\nAnswer: -1495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**3*n*t**2*z**2 + 10*a**3*t**3*z**2 + 26*a**3*t*z + 10*a**2*n*t**2 + 2*a*n*t**2*z**2 - 4608*n*t**3 wrt t.\nAnswer: 60*a**3*z**2 - 27648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*k - 2*z, -4*k - 12 = -6*k - 5*z. Solve k*h + 61 - 85 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-92)\/20 + 4 - 93\/(-5). Suppose -15*z + u*z = 603. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19908 and 447552?\nAnswer: 35356608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1216*c + 2441*c + 2172*c.\nAnswer: 3397*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*f = -187*f - 15. Solve 4*b + 3 = -4*m - f, 0 = -4*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 1, y: 2, a: 2}. What is prob of picking 1 t, 1 a, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 479\/1464 - -3\/488. What is the nearest to 0 in 3, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4949 is divided by 88.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6*x + 3)*(-2 + 4 - 3 + 3 + 2 - 3 - 2 + 5 - 2 + (0 + 3 - 2)*(5 - 3 - 1))*(-4*x + 3*x + 3*x).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -41154 smaller than -54967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*q + a - 8, 3*q = -5*a + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 290b (base 13) to base 3\nAnswer: 22010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30883 is divided by 143.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1511417 is divided by 97?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4024 + 4024. Let p = -0.02 - 0.98. What is the closest to p in 0.5, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:52 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-eight fifths of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 13 + -2 + -7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + sqrt(325) + 2*sqrt(325) + (1 + sqrt(325))*2).\nAnswer: 28 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*(-4 + 2). Let k = -30 - -31. Solve n + k = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9090860 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36258907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 7*l**2 - 8*l - 7. Let g be p(-6). What is the common denominator of (0 + g)\/(10\/(-55)) and 5\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35540 (base 7) in base 13?\nAnswer: -4250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 568066?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*r - 3272 = 177*r + 45315 - 2203 for r.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 f when four letters picked without replacement from ffhfffyfffhyzyffyff.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 53. Let t = -12 + w. Suppose 0*p - 3*p + 6 = 0. Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -59, -46, -17, 34, 113, 226?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*f + 22 = f, 5*f - 22 = -w. Suppose -w = 2*a - 62. Calculate the highest common factor of 8 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-72)\/(-21))\/8 + (-15)\/(-63). Factor 4\/3 + 2\/3*q - c*q**2.\nAnswer: -2*(q - 2)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(324)*-3).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxfxxfxffxxxfxx. What is prob of sequence xxxf?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 45*a - 9. Let i(d) = -d**3 + 36*d**2 + 42*d - 184. Let k be i(37). Let p be s(k). What is the highest common factor of p and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/22786 and -113\/2330?\nAnswer: 26545690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67851085?\nAnswer: 5, 13570217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -2*z**5\/5 - z**4\/12 + 2*z + 2. Let j(v) be the first derivative of x(v). What is the third derivative of j(w) wrt w?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14455 divided by -5\nAnswer: 2891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 1029.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 2*p**2 + 4*p + 7. What is the remainder when k(-4) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.033 - -185.033. Let r = -185.3 + i. Which is the smallest value? (a) 1 (b) -25 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-479)\/1916*28\/21*87.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7488157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100653, 402912, 906803, 1612326?\nAnswer: 2519481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203 and 174.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*a**3 + 267*a**3 + 272*a**3)*(2*a + 2*a - 6*a).\nAnswer: -1252*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4*c - 2*c + 0)*(3*c**2 - 30*c**2 - 14*c**2) to j*c + m*c**2 + x + k*c**3 and give k.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 78042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -52553415 (base 6) to base 16\nAnswer: -177c53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 64 + 22 - 3*f + 25 to s + d*f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -103821.\nAnswer: 5\/103821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -24. Let x = -8 - -9. Is x < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37138*l**2 - 18304*l**2 + 36*l**3 - 18834*l**2.\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -120687845*y**4 + 482603990*y**3 - 482161865*y**2 - 589380*y - 180.\nAnswer: -5*(y - 2)**2*(4913*y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 + 26*j**2 - 14*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 19 = -11. Suppose 2*i + 0*i - j = 0. Suppose 2*g = -8, -11 = -0*d + i*d - g. Sort -1, d, 0 in descending order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3160)\/5925*(-9)\/204*-1?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -11*k - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -2 (b) 2\/761 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t + 48. Let o be h(-6). Suppose -315 = -m - 8*l + o*l, -3*m + 954 = -3*l. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/8, -2, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/((2\/252)\/(151\/302))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 685*s + 13*s**2 + 678*s - 1361*s.\nAnswer: 13*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -593 - -594. Let v(l) = -l**3 + 3*l**2 + 5*l - 3. Let t be v(4). Calculate the greatest common factor of t and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = t - 6. Suppose r - t*r + 4 = 0. Let o be (2 - (-1 + r))*3. Solve -o*w = -v + 17, 3*v + w = 5*w + 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtvwtvww. Give prob of sequence tww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-7)\/(-147)*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a - 14. Let o = a + 12. Let w(z) = -17*z**2 - 1 - 1498*z**3 + z + 11*z**2 + 1499*z**3. Determine w(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 12*m**2 - 12*m + 2. Suppose 14*r - 11 = 13*r. Give t(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464912710 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:00 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36946 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -269931.\nAnswer: 1\/269931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 40 = 202. Which is smaller: -17 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, l: 2, r: 6}. Give prob of sequence ilii.\nAnswer: 55\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**4\/24 + 31*b**3\/6 - 192*b**2 + 1. Let n(r) = 5*r. Determine n(c(w)).\nAnswer: -5*w + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2536, -2511, -2510, -2545, -2628, -2771, -2986, -3285?\n\"Answer: -2*o**3 + 39*o - 2573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -250 + 1005\/4. Factor -c*p + 1\/2 + 1\/2*p**2.\nAnswer: (p - 2)*(2*p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = 4*z, 3*z - z - 19 = 3*k. Suppose 4*j - 5*p - 70 - 203 = 0, j - 62 = -z*p. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1013\/(-17221)*(-2 - (-6 + 2)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -17*d**6\/6 - 88*d**3\/3 + 75. What is the third derivative of n(j) wrt j?\nAnswer: -1020*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -360, -729, -1110, -1509, -1932, -2385, -2874?\n\"Answer: -u**3 - 362*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43389334\/365 + -118875. Find the common denominator of i and -47\/55.\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8194\/238 - 33)*(49 - (-12 - 2)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 47\/7 + 1\/7*z**3 + 7*z**2 + 95\/7*z = 0.\nAnswer: -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 17. Suppose -7 = -s*j - 2. Let y be 4\/4*(j + 0). Solve 2*h + y = -3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - (-2 + -3)) + 699. Round x to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.226 - -0.026. Let t = f - -19. Let k = 2.5 - t. Which is the third biggest value? (a) k (b) 4 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -183.486 - 0.514. Let m = -184 - j. Let b(z) = z**3 - 3*z**2 - 3*z - 1. Let o be b(4). What is the closest to o in m, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2443 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, o: 2, f: 1, n: 1, k: 1, l: 1}. What is prob of picking 1 o, 1 l, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*n + 23*n + 14*n - 477843. List the prime factors of n.\nAnswer: 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673506439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 282*j**4 + 651*j**3 + 582*j**2 + 219*j + 6. Let f(x) = 40*x**4 + 93*x**3 + 83*x**2 + 31*x + 1. Let o(p) = 15*f(p) - 2*m(p). Solve o(z) = 0 for z.\nAnswer: -1, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and 0.096.\nAnswer: 0.01152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22346\/(-145249))\/((-56)\/(-26)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5114.826 decades in years?\nAnswer: 51148.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*t - 14. Let m(z) = 74*z**2 + 4*z - 5. Is m(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, -12 in ascending order.\nAnswer: -12, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.325 - 0.025. Put v, -2, -11 in descending order.\nAnswer: v, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8 - (-15022)\/4. What is the hundreds digit of (t\/(-10))\/(5\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*sqrt(1008))**2 + 2 - (1*1*sqrt(70) + sqrt(70))\/(sqrt(10) + (-2*sqrt(1000) - sqrt(1000))).\nAnswer: 2*sqrt(7)\/29 + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-7)*j*j**(-3)\/j*(j**(-1\/4)*j)**11 assuming j is positive.\nAnswer: j**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 5*c**2 + 2*c + 3. Give j(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -24. Let v = 41 + g. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131.9546 - 132. Round h to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14 + 1)*((-180)\/15 + 10). Calculate the greatest common divisor of j and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15898*m + 15898*m + m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7548 divided by 111.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 4 (b) 3\/19 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 10 = -4*t + 14, 3*x - 5*t - 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 2700?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/((u*(u\/(u*u**(-3\/10)))\/u)\/u)))\/u)\/u)\/u**(-4\/5)*(u**(-2\/5))**(-7) assuming u is positive.\nAnswer: u**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:47 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 146239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 161244 and 72?\nAnswer: 322488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*r + 52 + 0*r**3 + 12*r**2 - 98 + 65 - 2*r**3 + 41 = 0. What is r?\nAnswer: -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4137 - 4136.9. Let n = -2.9 - 0.1. What is the third smallest value in 5, q, n, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64419746*z**3 + 89884030*z**2 wrt z?\nAnswer: 386518476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11)*r*r*r**(-2\/9))**(3\/5) assuming r is positive.\nAnswer: r**(158\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -147.0382292 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 - 1)*(2*s - s + s) + (2 - 2 + 2)*(8*s + 44 - 44).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 22, -4, 44, 4, 5, -0.365 in descending order.\nAnswer: 44, 22, 5, 4, 2, -0.365, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4)*20\/(-2). Suppose i = 3*p - 0*p. Suppose 3*o - 31 = 5. Calculate the remainder when o is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -271, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**2 + 16 + 15*i + 0*i**2 - 2*i**2. Let a(q) = 5*q**2 + 14*q + 15. Let r(h) = -5*a(h) + 4*d(h). Does 3 divide r(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 15*j - 13*j = -19, 3*j = -f - 3. Let v be (-4 - (-12)\/3)\/(-3 - -1). Solve h + 5*w - 25 = v, 2*h - 15 = -2*h - f*w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-15 + 5 - -8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - l + 2. Let p be (-1)\/(-4) - (-285)\/12. Suppose -p = -4*q - 4*q. Suppose s + 13 = 5*r, r - 2 = -q*s + 7. Give h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.8 - -11. Let z = j + -2.2. Let c = -278 + 276. Sort 0.3, c, z.\nAnswer: c, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228908 is divided by 13268?\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from vvthyfd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 14467?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.229042 rounded to 2 decimal places?\nAnswer: -1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -1\/8, 8\/11, -2\/5, 11.172 in decreasing order.\nAnswer: 11.172, 8\/11, 1\/12, -1\/8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 24*c. Let h = 0 + 2. Let s(x) = -x - 2. Let p(m) = 5*m + 12. Let a(q) = -p(q) - 6*s(q). Calculate h*i(w) - 42*a(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z + 4. Which is smaller: z or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 26. What are the prime factors of t(-9)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 3*n**8\/448 - 41*n**5\/60 - n**4\/3 - 65*n**2. Let j(h) be the second derivative of z(h). Differentiate j(b) wrt b.\nAnswer: 135*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(204))\/sqrt(4))\/(sqrt(15)\/(sqrt(5)*3)) + (-6*sqrt(102)\/(1*sqrt(6)) + -1)*6.\nAnswer: -30*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 265949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 + -73. Suppose -605 = -a*k + 263. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 7*g**2 - 8*g + 2. Let b be z(-8). What is the biggest value in 2\/47, b, 1, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 163495, 654056, 1471657, 2616298, 4087979, 5886700, 8012461?\n\"Answer: 163520*h**2 + h - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.81 + 3.59. Let l = 14.39572 - f. Round l to four decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - (-59 + -1 + (9 - 56 - -53))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.7 - 15.9. Let u = y - -6.19824. What is u rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53447463 - -5?\nAnswer: -53447457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20\/13 + -139\/65. Let m = -3.4 - -3.9. What is the third biggest value in m, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4088070*j*l**3 - 34744*j*l**2 + 3*l**2 - 5*l - 6 wrt l?\nAnswer: 24528420*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 2. Let j(z) = z. Let y(t) = f(t) - 2*j(t). Let o be (10\/55 + 84\/(-99))\/((-2)\/15). Determine y(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131\/2 + 70. Is 6 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 - -3. Let s = -0.3 + 0.8. Let c = -0.4 - 2.6. What is the nearest to m in s, -3\/4, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/1*(-6 + 5). Factor 3*c - 18*c**2 - 3*c**2 + v*c**3 + 23*c**3 - 14*c**3.\nAnswer: 3*c*(c - 1)*(6*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q + 17 - 109 = -98*q. Sort -367, q, -5, 1.\nAnswer: -367, -5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229 times 0.3\nAnswer: -68.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/15))\/(z*z\/(z**(-5)\/z)))**(3\/13) assuming z is positive.\nAnswer: z**(-106\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(66\/20))\/(((-64)\/36)\/16).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 8:29 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 943.6614nm?\nAnswer: 0.0000000009436614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1815, 1414, 723, -276, -1601, -3270?\nAnswer: -5301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:11 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 15\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 - 0.28. What is the closest to a in 5, -0.4, 2\/23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:28 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 1. Let z = 9 - 5. Suppose 3 - 7 = -z*k. Determine u(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10275290 is divided by 718?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124 - 2420?\nAnswer: -2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -14351612?\nAnswer: -14351611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 13\/20*q**5 + 3 + 0*q**3 - q**2 + 19\/6*q**4 - 8*q. Find the third derivative of o(v) wrt v.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 667, 811, 955, 1099?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*y - 53 = -43, 9*y = -s - 15. Factor -26\/7*w - 2\/7*w**5 + 44\/7*w**2 + 2*w**4 - 36\/7*w**s + 6\/7.\nAnswer: -2*(w - 3)*(w - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 120, 187?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 7 - 7)*(2 - 2 - q + 39*q - 122 + 122 + (2*q + 3*q - 4*q)*(-4 + 3 + 3)) in the form f + l*q**2 + p*q and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 449 = -4*q - 5*a, 0 = 4*a - a + 3. Let r = -33 + 30. Let l be 2973*q - (r - 0). What is l rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.35 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*p**2 + 33*p**2 + 37*p**2 + 32*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(u + 0 + 0) - 5*u + u + 5*u + (0 + 9 - 1)*((4*u - 2*u - 3*u)*(-3 - 1 + 3) + 0*u - 5*u - u).\nAnswer: -37*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*r + 17 = 0, r + 7 = 5*f - 0. Solve 5*y + 2*v + 12 = 0, -6 = 2*y + f*v - 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169.744+180281084\nAnswer: 180281253.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-4)\/(-3)*(-6 + 1122\/176)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7573814 or 7573813?\nAnswer: 7573814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*k**4 + 15*k**3 - 5*k**5 + 10*k**2 + 16*k**5 + 26*k**5 - 2*k**5.\nAnswer: 5*k**2*(k - 1)**2*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-448)\/(-160)*9660\/588?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {t: 7, c: 7, z: 4}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -5 - (-4 + 4). Let p be 5 - ((-66)\/(-12) - x). Factor u + 1\/4*u**4 + 1\/4 + p*u**2 + u**3.\nAnswer: (u + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-30)\/4)\/15.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 110*a - 1. Let j(l) = 93*l - 2. What is 8*j(x) - 12*y(x)?\nAnswer: -576*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 706.613 take away -5687.5?\nAnswer: 6394.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -4)*-4 + 0. Let w(p) = -p**3 + 5*p**2 - 7*p + 6. Calculate w(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -145*q**2 - 1332*q - 3030. Determine t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -7*q - 24. Let k be q\/12 - ((-1065)\/12)\/(-5). Let o = k - -29. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1729 - -4198. Calculate the remainder when f is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3\/4, 44, -3, 107, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3765237, 7530477, 11295731, 15061005, 18826305, 22591637, 26357007, 30122421?\n\"Answer: l**3 + l**2 + 3765230*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**4 + 2*i - 12*i + 2*i**3 - 2*i**3 wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.54 + 31.\nAnswer: 86.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2 - 6. Let s(v) = 17 + 350*v - 350*v - 20*v**2. What is -17*k(q) - 6*s(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103730 - -97.\nAnswer: 103827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -46. Let b = 32 - i. Suppose 3 = a - b*l, -3*a + 11 = -2*a + 5*l. Calculate the lowest common multiple of 11 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -52, -96, -152, -220?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5152\/11 - 468. Let r = w + -31\/55. Let u = -3 - -8. Which is the biggest value? (a) r (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 7*b**2 + b + 5. Give q(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -12.89406766?\nAnswer: 13.09406766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 19*n - 52. Give j(11).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -4, -1\/10, 0.2, -28 in decreasing order.\nAnswer: 0.2, -1\/10, -1\/7, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -934, -1865, -2796?\n\"Answer: -931*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2 and -59\/3324.\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 261*g + 1662. Calculate i(-4).\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -17*s**2 - 257*s - 39. Determine h(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22233 + -10301301?\nAnswer: -10213002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(2\/13)*q\/(q*((q\/q**(2\/5))\/q)\/q*q))\/((q\/q**(4\/3))\/(q**(1\/16)\/q)) assuming q is positive.\nAnswer: q**(5123\/3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -69915, 1020.\nAnswer: -69915, -4, 1020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-15)\/(-2) + 0). Let y = -10731 + 10731.2. What is the third smallest value in l, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 296.5 and 68463.37.\nAnswer: 68759.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -4 (c) 14 (d) -1 (e) -0.4 (f) -8\/3 (g) -111\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c. Let x(f) = -2*f. Let r be x(-1). Let h(i) be the third derivative of 0*i - 5*i**2 + 0*i**3 - 1\/8*i**4 + 0. Calculate r*h(s) - 7*k(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 11*m**7\/2520 + 11*m**6\/180 - 11*m**5\/60 - 3*m**2 - 8*m. Let q(d) be the third derivative of h(d). Differentiate q(c) wrt c.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 15 = g. Suppose -h + 75 = 5*m, 36 = 4*m + g*h - 13. Suppose l + 3*l = -m. Which is the third smallest value? (a) -1 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 5*u**2 + 6*u - 4. Let h be c(4). Solve h*f - 8 = 2*j, -3*f + 10 = -f - 4*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 20. Let p(n) = 4*n + 25. Determine -5*p(r) - 6*t(r).\nAnswer: -2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.26421cm to millimeters.\nAnswer: 572.6421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-232)\/(-5) + 4\/(-10). Suppose -g = -v - 11. Is v 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) -0.46125 (b) -1\/10 (c) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -18*j**2 - 89*j - 10. Give u(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*f + 12, 4*t + 89 + 85 = t + 5*f + 138 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 566684252*h**2*i - h*i + 7*h + 16801050*i wrt h?\nAnswer: 1133368504*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, t: 6}. What is prob of sequence xxxx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -21*o - 132. Let s be x(-17). Let u = 225 - s. Solve -10 = -u*p - 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18497000 rounded to the nearest 100000?\nAnswer: -18500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -316 - -474. Suppose -2*d = 2*l - u - 84, 3*d = 4*l - 505. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(11\/3)*f)\/f)\/f*f*f*f**(-2\/23)\/f*f*f*f*f)\/(f**3)**(14\/13))**(-15\/7) assuming f is positive.\nAnswer: f**(8900\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1340\/(-21172)*8\/(-20)\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100111 + 111?\nAnswer: 100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 11*c = -215. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-132)\/9 + (-2)\/6. Let n be 135\/(-36)*(-1 - -5). Is w less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (-30 - 0) + (-1222 - -1247)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**5\/l)\/((l\/l**(3\/10))\/l) assuming l is positive.\nAnswer: l**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -281 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 1 + 10. Let h be 19*u\/(3\/(-1)). Calculate the greatest common factor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152071682 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2244632 and 108480.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(-4*sqrt(1539)*-2 + 2*(sqrt(1539) + -1 + sqrt(1539))) + 3 + 5).\nAnswer: -48 + 1296*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 40*o**3 + 39*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-792)\/(-9) - (2 - 1)*-2. Let i = 191 - a. Does 23 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/39*6\/4. Let c = 0.041 + -0.041. What is the second smallest value in a, 2\/11, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 7*m**2 - m - 5. Let h(g) = 22 - 4*g**3 - g**3 + 0*g - 2*g - 24. Let c be h(-1). Let z(d) = 2*d**3 - 10*d**2 + 2*d + 7. Give c*z(a) + 7*i(a).\nAnswer: 3*a**3 - a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92341 = -5*j - 3*a, 4*j + 33250 = 2*a + 107136. What is j rounded to the nearest one hundred?\nAnswer: 18500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20271378137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-384))\/((-27)\/(648\/60))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2. Let i(j) = j - 11. Let w be i(6). Let q(n) = n - 2*n - n. Let b(s) = 2*s. Let k(v) = w*q(v) - 6*b(v). Determine k(r(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519171597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n**3 - 2*n**3 + 6*n**3)*((0 - 1 + 2)*(227 - 343 + 235) - 2 + 3 + 0 + (1 - 2 - 1)*(2 - 2 + 2)) to the form f*n**2 + o*n**3 + m + g*n and give o.\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -20. Let v be (-1)\/((-1 - 0) + 2). Let h be ((-10 - v)\/3)\/4. Put h, 0, m in decreasing order.\nAnswer: 0, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.70824889666 - -0.2?\nAnswer: 242.90824889666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1152*37.1\nAnswer: 42739.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157008, -313995, -470982, -627969, -784956, -941943?\nAnswer: -1098930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 11:36 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 9. Suppose -1 = 45*m - 136. Suppose -3*f - 11 = 2*w, 0 = 4*w - m*f + 41 - 10. Give s(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-2))\/((-1)\/12) - -3. Let l = m - 42. What is the greatest common divisor of 105 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*v**2 - 10*v - 12*v + 25*v**2 + 27*v**2 + 4*v**3 - 93*v**2 to the form p*v**2 + s*v**3 + b*v + x and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 23 - 93)*(2*r + r**2 - 2*r)*(r**3 - r**3 - 3*r**3).\nAnswer: 351*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 17*l**6\/120 + 11*l**5\/60 - 15*l**2. Find the third derivative of q(a) wrt a.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x**3 - x)*(x - 9 + 1 + 4).\nAnswer: x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 60. Let q(x) = -1 - b + 2 + 8*x - 1. List the prime factors of q(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168 + 305. Let d = h + -97. Suppose 5 = 4*r - 3*r. What is the greatest common divisor of d and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 44400258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 11*v - 24. Suppose 4*q - m + 6 = 25, 0 = -2*q - v*m + 2. Solve -u + 4 = 0, 5*b - 21 = -q*u - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -862*o*x**3*z + 53*o*x**3 - 7*o*x**2*z + o*z - 47*o - x**3*z + x**3 - x**2*z + 4*x*z + 5 wrt x.\nAnswer: -5172*o*z + 318*o - 6*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173\/4 - -43. Sort -2\/7, -0.4, i in ascending order.\nAnswer: -0.4, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tatttyytyty. Give prob of picking 3 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 1:13 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -y + 5*y + 63, 0 = 3*n - 2*y - 39. Calculate the highest common divisor of 255 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 7*s**2 - s + 3. Calculate r(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in 0.1, -0.4, 2\/13, -4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 168*m. Let f(d) = 30082*d. Calculate b(f(z)).\nAnswer: 5053776*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 846.6556l?\nAnswer: 846655.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -287051820 divided by -6?\nAnswer: 47841970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 1, k: 2, v: 1, o: 1, n: 2}. Give prob of picking 1 o and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(228) - -1*sqrt(228)))\/(sqrt(60)\/sqrt(5)*-6).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 624 + -624.4. Sort -4.4, 0.3, g.\nAnswer: -4.4, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1044)\/(-120) - 9\/(-30). Solve -3*q - 24 = -h*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473 + 113 = 5*z. Is -74 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from kykkyykyyyyyyyykyyyy?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333 divided by -870.\nAnswer: 111\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 8*s**2 + s - 3. Let d be p(8). Sort d, 1, -5.\nAnswer: -5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 = -c + 19, 3*c = 3*q + 102. Solve -c + 17 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iteittieiet. Give prob of picking 1 i and 3 t.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 6*g**2 - 3*g - 6. Let q be m(5). Find the second derivative of -q*o - 3*o**3 + 4*o - o - o wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784*q = 782*q + 5*m + 111, -4*m - 118 = 13*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4)**(-9))**(1\/4)*((g\/g**(1\/13))\/g*g**6)\/(g*g\/(g**6*g)*g**(1\/11)) assuming g is positive.\nAnswer: g**(262\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdmfdde. What is prob of sequence ed?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dc8321 + -5d?\nAnswer: dc82b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 324512 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*t + 2023 = -20*t - 57 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 9:45 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882033 is divided by 1622?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17687784?\nAnswer: 2, 3, 19, 79, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3 + 4683*r**2 + 18780*r = 0. What is r?\nAnswer: -4, 0, 1565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 0. Let b = 0 - 1. What is the third smallest value in -0.5, b, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*g + 258 - 0, -3*g + 2*z + 387 = 0. Let u = 133 - g. Solve -3*q + 11 = -n, -n + 2*q = -6*n - u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 91. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2320 divided by 580.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.373 take away 331?\nAnswer: -330.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1484, 1771, 2058, 2345, 2632?\n\"Answer: 287*s + 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(104)\/sqrt(2)*4 - (3*sqrt(156))\/sqrt(3))\/((-4*sqrt(4800) + sqrt(4800) - sqrt(48))\/sqrt(12)*-2).\nAnswer: -3*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 57 = 17. Let s(z) = -z + 7. Let r be s(5). Solve -r*b - 3 = -a*x + 3*x, 5*b = x - 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -46532714.\nAnswer: -186130856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.389517 - -12445909\nAnswer: 12445909.389517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**4\/12 + 7*r**3\/6 + 19*r**2\/2 + 6*r + 37. Determine h(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -2113 - 3123. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/26)\/((-42944)\/380640).\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1455 + 6*d**2 + 21*d + 1438 - 21*d - 10*d**3 + 6*d**2 to w*d**2 + m + a*d**3 + k*d and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1373 - -1380. Solve 128 - 93 = v*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 19. Let r be v(-14). Solve z + 2*n - 17 = -6, 5*n - 20 = r*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12302113 - -1103?\nAnswer: -12301010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-88))\/(2\/(-18))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 58157350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 29 = -9. Let o(y) = -40*y - 140. Let f be o(-4). Which is the closest to -0.1? (a) f (b) h (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n + 12. Let b(w) = 4*w + 2. Let y be b(n). Is 12 a factor of ((-4)\/10)\/(1\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**3 + 222*v - 227*v + 48*v**4 - 51*v**4 to the form n*v + x*v**4 + t + i*v**2 + r*v**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by ((-63)\/36 + 4)\/((-12)\/(-32)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807583081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117595639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(512) + 3*sqrt(512))\/(-1*sqrt(8)\/sqrt(2)).\nAnswer: -33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2\/9, -12\/11, 5, 3?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*c + 45. Calculate the remainder when 8 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y + 27. Calculate the remainder when 119 is divided by d(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7685821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 376239 to the power of 1\/2, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 165*l - 5136. What is w(-36)?\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7549087 from 0.\nAnswer: -7549087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.18 - 0.02. Suppose -o + 12 = 2*o. Let i be ((-2)\/6)\/((-8)\/(-6)). What is the second biggest value in o, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + -1*sqrt(900) - -2*sqrt(900))\/(3*(sqrt(12) - sqrt(24)\/sqrt(18))) + 3.\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4816952573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 127160143 smaller than 127160142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 4*q - 7*q)*(-2 - 2 + 3) - 1 - 2*q + 1 - 24 + 55 - 33 - 36*q in the form i*q + j and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 73580 + -4?\nAnswer: 73577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 313 - -1?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/153102*-79)\/(((-4)\/24)\/(4\/3))\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 2, i: 4, c: 1}. What is prob of sequence ee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1504\/17484)\/((2\/12*-1)\/((-2)\/(-8))).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06286867 * -2.\nAnswer: -0.12573734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.00035 - 0.09965. Which is greater: 4355 or d?\nAnswer: 4355","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9025075000 to the nearest one million.\nAnswer: -9025000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 81. Let g(d) = d**2 - 10*d - 9. Let b be g(11). Suppose -b*k = -61 + z. What is the highest common divisor of 65 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 872426307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.125 + -0.375. What is the second smallest value in -2, y, 9, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*f**3 + 4*f**4 - 4*f**2 - 98*f**3 + 48*f**3 - 4*f.\nAnswer: 4*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*r**2 + 54*r - 577?\nAnswer: 16*r + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773026 is divided by 390.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 41*y = -46*y, -16 = -l - 3*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(975)*5 - sqrt(975)))\/((sqrt(243)*-4 - sqrt(243) - sqrt(243) - sqrt(243))*3).\nAnswer: -40*sqrt(13)\/189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85.4457 - -0.03468191.\nAnswer: -85.41101809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Let m(d) be the second derivative of d**4\/6 + d**3\/3 - d**2 + 6*d. Let b be m(j). Solve -b*k = -0*k - 3*g, -5*k - 5 = -5*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -811716*k**2 - 3*k + 3*k - 811775*k**2 + 1623401*k**2.\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -518\/11. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 13 = -4*j, 5*j + 139*g = 137*g + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 - -1020?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/15 (b) 0.2 (c) -0.007 (d) 0.4 (e) 243\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -3 (c) -0.2 (d) 812 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 4*u**2 - 34. Let y be r(-12). Let o = 1359 + y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (475 + 833 - 97)*((3 - 3 - 2*v)*(-2*v**2 - 3*v + 3*v) + 3*v**3 - 3*v**3 - 2*v**3).\nAnswer: 2422*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 6587364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 + -1 - (-7 - -5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*-69\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1298 and 0.04?\nAnswer: -0.005192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80945561 is divided by 154182?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**5 + 3242*z**4 - 258204*z**3 + 1649000*z**2 + 135568624*z + 67339584 = 0.\nAnswer: -884, -18, -1\/2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -20*w - 22. Calculate f(-4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxssx. Give prob of sequence ssxs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 150*j**3 + 5*j**2 + 48*j - 104. What is g(2)?\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1894*q - 325 = -1869*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11024 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-21))**(-2\/33) assuming r is positive.\nAnswer: r**(14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -147553 - 13?\nAnswer: -147566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1962830 and 3641.\nAnswer: 21591130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 29*y**2 - 19*y - 19. Let p be o(-14). Suppose p*m = 56*m - 20705. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and (-1835262)\/(-891) - (29\/(-9) + 3).\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkwwwkppw. What is prob of sequence wpw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -3, -14, 10 in descending order.\nAnswer: 10, 7, 1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6 (b) 4 (c) -0.5 (d) 1\/2 (e) -0.03 (f) 2\/173 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**5*k**2 - 5*d**5*k - 13*d**2*k**2 - 12*d**2 - 2*d*k**2 wrt d.\nAnswer: 300*d**2*k**2 - 300*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 116 - 1?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 4, 0, -614, 1\/209?\nAnswer: 1\/209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10674000 to the nearest one hundred thousand.\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 3.05. Let o = -2.8 - 0.2. Let y = o - v. Which is the closest to 0? (a) y (b) -0.1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 2*z + 3*z - 2*b, -z + 5*b = 56. Suppose 0 = -4*p + 8, -w + 5*p = 7 + 11. Let o = w - z. Solve 2*y - 5*d - 10 = o, -4*y + 3*d = -31 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74.18 - -0.82. Let b = u - 44. Let m = b - 29. What is the second biggest value in 3, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c + 25. Give l(8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23221, -46441, -69661?\n\"Answer: -23220*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/5 - 380*j**4 + 19838*j**3\/5 + 122072*j**2 - 408360*j - 1267200 = 0. What is j?\nAnswer: -960, -15, -2, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 3. Let k be u(-1). Suppose -k*b = -5*b + 15. Suppose 3*v + 46 = b*q - 485, -111 = -q + 3*v. What are the prime factors of q?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-15) - -4)*(-46 + 45)\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3*n + 4)*((1 + 1 - 3)*(0 + 0 - 2) - 2 + 4 - 3 - 3 + 3 - 2) + (2 - 2 - n)*(3 + 3 - 1) to the form i + h*n and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/11 - 2*w**2\/11 + 52*w\/11 - 48\/11 = 0 for w.\nAnswer: -6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 558 = 4*i + i, 134 = -j + 4*i. Let l = -38 - j. What is the highest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four fifths of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -397?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30, 34, 38, 42, 46?\n\"Answer: 4*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 27*g + 9. Let c be w(13). Let u = 10 + c. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 43621322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000 - -1000101?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27624.\nAnswer: 2, 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - ((-5 - -11) + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = -7*t + 1000. Is 25 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 15 (b) -1\/105 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -n, 3*p + 2*n = -0*p - 5. Let b be (1\/1)\/(2 - 1). Let z = 153\/4 - 38. What is the closest to b in p, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/(-27))\/(-16)*306\/(-136)*276\/(-9)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30932 divided by 2812?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -37*d - 1. Let b be y(-1). What is the tens digit of (-1)\/(-2)*(b + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31 times -0.3?\nAnswer: -0.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -876 + 1239. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + b**2 - 2*b + 2. Let j be r(1). Let x = -28 + j. Let q = x + 84. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/(20\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 154 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 275 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1407 (base 12) to base 8\nAnswer: 4407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75201.\nAnswer: 3, 7, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1016 divided by -508.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 728*j - 8131. Calculate n(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 <= -2244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.61 + 6.81. Let o = 3.6 - 4. Which is the third smallest value? (a) -2 (b) z (c) -4\/7 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i + 1. Determine q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 23*j - 41. Let z be s(-20). What is the greatest common divisor of 171 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 7*s + 2. Let k be j(7). Let f be 21\/18 + 2\/(-4). Let o = -1.2 - -0.2. What is the nearest to k in f, -5, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2528, -5138, -7748, -10358, -12968, -15578?\nAnswer: -18188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 371*x - 3335. Let c be n(9). What is the greatest common divisor of 932 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = 0. Suppose -4*a - 3*k + 15 = z, -2*k - 19 = -5*a - 6*k. What is the derivative of 0*r**3 - 2 + r**a + r**3 wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a - 9*a + 2 - 2*a**4 - a**4 - a**3 to d + s*a**2 + r*a**3 + l*a + k*a**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdjbkgjjkjljk. Give prob of picking 1 g and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 4*y**2 + y + 2. Suppose 2*r = 2*k, -3*r - 2*k - 4 = -19. Suppose -w = 3*c - 13, -4*w - 2*c = -0 - 12. Suppose x = r + w. Determine d(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 4. Let w(i) = 2*i**2 - 3*i**2 + 4*i + i - 4. Let s be w(4). Give x(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -7232?\nAnswer: -7228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 2685\nAnswer: -42960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1162*v - 2*d + 7 = 1167*v, 5*d + 26 = 2*v. Let g(i) be the first derivative of 5 - i**v - 2\/5*i**5 - 5\/4*i**4 + 0*i + 0*i**2. Solve g(x) = 0.\nAnswer: -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-12)*(10 + 0)*1. Solve 2*u - 3*h = 3*u - 13, r*h - 22 = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2 + 22554*f + 17245454 wrt f.\nAnswer: -4*f + 22554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*d - 10. Let p = 1 - 1. Is (-6)\/d + p + 1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*i - 911*i + 674*i + 2173*i.\nAnswer: 1400*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i. Suppose 3*g - 292 = -4*n - 1520, -5*n + g - 1516 = i. Let q = 1167 - n. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 1. Let w(i) = 2*i**2 - 7*i. Let v(n) = 5*n**2 - 39*n - 1. Let g(k) = 2*v(k) - 11*w(k). Give -g(z) - 2*h(z).\nAnswer: 10*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2340212 (base 5) to base 16.\nAnswer: a8ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + r**2 - 1. Let m(d) = -d**3 + 6*d**2 + 16*d + 14. Let g(a) = -m(a) - 3*v(a). What is the hundreds digit of g(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + p + 2 = 0, -3*i - 204*p + 14 = -202*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*q - 11 = -3*q, 3 = -5*f + 2*q. Calculate the remainder when 38 is divided by (11 - 9)\/(f\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 - 323 - 1 + 2*l**3 - 245 to the form f*l + a*l**2 + b*l**3 + n and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, v: 2, k: 2}. What is prob of picking 2 k and 2 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 921608 a multiple of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4623457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1870544, -2, -53 in increasing order.\nAnswer: -53, -2, 1870544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 11 - 416\/(-40)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(8\/11)*x**(1\/20) assuming x is positive.\nAnswer: x**(171\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011819 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4549441 and 1586?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - 43*w - 63*w + 1)*(-2 + 5 - 6*w + 3*w) to v*w**2 + c*w + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50 + 1820*u**2 - 1820*u**2 - 44*u**4 wrt u?\nAnswer: -176*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 1:23 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 + 0*o**2 + 0*o**2 - 2*o**2 - o**3 + 2*o**2 + (-3 + o**3 + 3)*(-4 + 0 + 2) + 5561*o**3 + 3213*o**3 - 620*o**3.\nAnswer: 8153*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4\/7, -1\/2, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + -2) - (0 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 52166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 4*x - 4*x**3 - 13*x**3 + 3*x - 1 in the form l*x + q*x**2 + b*x**3 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*b**2 + 103548676*b + 23010816.\nAnswer: 2*(b + 5752704)*(9*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10*3\/12)\/((-1)\/4). Suppose m*l - 3 - 47 = 0. What is the remainder when 68 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 8*s - 2. Let q(h) = 4*h**2 - 17*h - 4. Suppose -2*a - 17*x = -18*x - 9, 5*a - 4*x = 27. Calculate a*q(o) - 5*k(o).\nAnswer: 2*o**2 - 11*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -6*i + 3*w + 1088, 3*i + 5*w = 1613. Is 1*(i - 0\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1864.\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**5 + 22*a**4 - 23*a**3 - 8*a**2 + 12*a = 0.\nAnswer: -2\/3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:07 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 42*h**2 + 44*h**2 + 2*h)*(0 + 2*h + 0).\nAnswer: 4*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1168815 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 1531, -58.\nAnswer: -106, -58, 1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**3 - p**2 - p. Let m be h(-1). Let l(u) be the first derivative of -u**2 + 0*u + 4 - 2*u - 7*u. Let v(x) = -3*x - 14. Determine m*l(t) + 5*v(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 11. What is u(6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:22 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45377\/60492 + 2\/15123. Which is the fourth biggest value? (a) -1\/2 (b) h (c) 0 (d) 1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 6*i - 4. Let o be x(-3). Suppose s + 8 = o*s. Solve -6 = -s*y - y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 146568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 10:33 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -294*p - 4114. Let y be w(-14). Find z such that 0 + 0*z - y*z**4 + 0*z**3 + 8\/7*z**2 + 6\/7*z**5 = 0.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 459*k - 909*k + 461*k + 341 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in 2\/28111, -0.2, 3, 3\/4, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*r + 106 = 0, -4*m - 52*r + 48*r + 308 = 0. What is the remainder when m is divided by 55?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 10*t + 10. Let k be i(-6). Let j be ((2 - 1) + -755)\/k. Is j + (-1 - (-3 - 2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuuz when four letters picked without replacement from {z: 16, u: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402 (base 9) in base 4?\nAnswer: 123320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 993313 to the power of 1\/2, to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 121\/115?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from {x: 3, n: 7, r: 4}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-3)*(-15)\/((-570)\/(-19))*-1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*((sqrt(242) + -1 + 2)*-6 + -5))**2 + 3.\nAnswer: 52272*sqrt(2) + 317991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.32 (b) -1 (c) -132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.1 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -22. Suppose -i + t = -9, -l*i = -i - 4*t - 41. Let w = -22 - -39. Calculate the remainder when w is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -18 - (-7 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023 divided by 3?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from eemmmooppztepepete?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - t + 2)*(0 - 2 + 0) - 172 - 169 + 341 - 311*t.\nAnswer: -309*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -0.5, 55, -6\/23, -2 in descending order.\nAnswer: 55, -6\/23, -0.5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a6233 + 1?\nAnswer: a6234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8061, 7251, 6443, 5637, 4833, 4031, 3231?\nAnswer: 2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 a factor of 44514611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*b - 5 = 0, -15 = -l - 2*l + 4*b. Let t be ((64\/38 - -1) + -3)*1. Which is bigger: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 23 + 44 + 12*k.\nAnswer: 12*k - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 7:49 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 78, 345, 790, 1413, 2214?\n\"Answer: 89*m**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/12 - d**3 + 7*d**2\/2 + d. Let p(q) = -3*q**2 - 17*q + 21. Let b(n) = -3*p(n) + 8*x(n). Calculate b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*(sqrt(2) + -2 + sqrt(2)))**2 + -5)*2.\nAnswer: -2400*sqrt(2) + 3540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 9324.\nAnswer: -11\/4662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*6)\/(3 + -2) + 295452\/49184. Is 1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(99) + 1 + sqrt(99) + 3 + sqrt(99) + 1 + sqrt(99) + -1)*-2)**2.\nAnswer: 384*sqrt(11) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 107, -65, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 7070701.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 3:49 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -153520 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 1815000*v**5 - 87122200*v**4 + 3136636802*v**3\/3 - 1267232*v**2 + 384*v = 0.\nAnswer: 0, 1\/1650, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 3 + 0 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - d)*(4 + 2 - 3) + (1 - 3 + 1)*(3*d + 0*d - 6*d + 2*d - 6*d + 3*d + (3 + 4 - 5)*(-2 + 2 + d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.356. Let r = -0.004 + m. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16185 + 171. What are the prime factors of g?\nAnswer: 2, 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14524024 (base 7) to base 12\nAnswer: 56917a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((1 + 2 - -1) + (1371 - 1326)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2460cb - 0?\nAnswer: 2460cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 4*d - 6*d)*(2 + 9*d + 9*d - 6*d).\nAnswer: 12*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + 1*sqrt(252) + (-1 + sqrt(252))*-4 + (-2*-2*sqrt(252) + sqrt(252) + sqrt(252) - sqrt(252) - (2 + 0 + sqrt(252) + sqrt(252))) + 3 + 3)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -191 - -193. Let m(y) = 1461*y - 1461*y + y**t. Determine m(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5493.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 19 = -5*w, 4*w + 16 = -n - n. Let r(m) = 5*m + 1. Let g(z) = 11*z + 3. Let f(s) = n*g(s) - 5*r(s). What is the tens digit of f(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 + -33. Suppose 4*p + 0*v - 5*v = 129, 0 = -2*p + v + 57. What is the remainder when o is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*x - 4*x. Suppose -x*v + 4 = -332. Round v to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*s - 2*s**2 - 46*s)*(-2 - 2*s**3 + 2)*(-1 + 1 + 1)*(1 + 0 + 3).\nAnswer: 16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00681 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*t + 410 = 0, -8*x - 294 = -11*x + 5*t. Solve -3*c + 73 = x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1112200?\nAnswer: -1112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269 is divided by 1074?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 13*c + 8. Let z(s) = 5*s + 26. Let q be z(-8). Let l be h(q). Is (-1276)\/l*(-63)\/(-42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {o: 1, c: 4, q: 5}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-19712)\/15872) + (-6)\/7\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h - 2*o = -5, 2*h + o = 6. Let c be ((-1)\/5)\/((-1)\/15*-4). Let s = -5 + 7. What is the closest to s in h, -2, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 40 = -3*u, -109*j + 2*u + 19 = -108*j + 37 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*q - 60523 = -15157 + 18474 for q.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4.1. Suppose -6*f + 2*f + 4 = 0, 2*y + 2*f = 14. Suppose 41140 - 41133 = 7*p. Which is the second smallest value? (a) p (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 14*n - 30. Sort -3, n, 150.\nAnswer: -3, n, 150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - t + 1. Let v be l(-2). Let n be 16*3\/(v - 1). Let d = -2 + n. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-1))\/1*(-3)\/6. Suppose -294 = -2*w - l*z + 2*z, -2*w + 3*z = -294. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910 + 2974 + 3318 = 299*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c**3 + 9*c**2 - 9*c + 1. Let v(x) = 2*x**2 - 252*x**3 + 2*x + 254*x**3 - 4*x**2. Determine -2*h(n) - 9*v(n).\nAnswer: -2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18977196.\nAnswer: 2, 3, 7, 225919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2524347 is divided by 34580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 10*r - 29. Let q(f) = -2*f**3 + 4*f**2. Let j be q(r). Solve j = l + 4*k + 2, 0 = -2*l + 3*k + 12 - 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 86 - 71. Suppose 5*j + 230 = -3*g - 267, v*j + 2*g = -299. Let k = j + 240. Calculate the greatest common divisor of 26 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 50*w - 53*w + 73418, 3*g + w - 220294 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-10))\/(1\/2) + 2. Which is smaller: h or 2\/115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1661 - 1650. Solve -2*t = -3*u + o, -t - 13 = -u - 5*t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/74 + -5633\/222. Let u = 26 + h. What is the smallest value in u, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**(1\/15)\/(((c*(c\/(((c\/c**(2\/15))\/c)\/c*c*c)*c)\/c)\/c)\/c*(c\/(c\/(c\/(c\/c**(-11)))))\/c) assuming c is positive.\nAnswer: c**(191\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.6 or -360.387?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -15837*r - 8463990 + 8463990 as j*r + d and give j.\nAnswer: -15837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 7*f**2 + 6*f + 2. Let i be h(-6). Let o(v) = -v**2 - 5*v + 4. Let q be o(-5). Suppose q*d = i*a + 5*d + 13, -3*a + 8 = -4*d. Sort 1, a, 2.\nAnswer: a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87\/5 - -279\/10. Let q = 12 - r. Let g = -41\/68 - -6\/17. What is the smallest value in g, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/2*(-11 + (-68)\/(-8)). Solve 2*b + 4*m = 6*b, -u*b = -m - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51376 is divided by 1252?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 3. Let a = -1 + r. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 31633.\nAnswer: 253064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 129. What is k(-32)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26\/81 + -1\/81. Let g = -0.02 + 3.02. Which is the third biggest value? (a) 1\/9 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515048753?\nAnswer: 53, 9717901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-10) + (9 - (-33)\/(-6)) + (-156)\/40?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-42)\/35 + 2)\/((-4)\/(-50)). Find the common denominator of 28\/q*((-1155)\/(-48))\/(-7) and (-1947)\/(-420) - 4\/14.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21175047?\nAnswer: 3, 17, 46133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - -1 - 0\/2. Let o = 1231 + -1235. Which is the smallest value? (a) t (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 817 divide 302906835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3399.5*1.28.\nAnswer: 4351.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/5 - 6*h**4\/5 - 8*h**3\/5 + 32*h**2\/5 - 32\/5.\nAnswer: 2*(h - 2)**3*(h + 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/530738 and -109\/2934.\nAnswer: 778592646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(-1 + sqrt(432)) - sqrt(432) - (sqrt(432) - (sqrt(432)*2 + sqrt(432)) - sqrt(432))*1) + 1*(sqrt(432)*-1*5 - sqrt(432)) + 5)*-2)**2.\nAnswer: -1152*sqrt(3) + 15616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-24)\/d**(2\/27))**(-2\/25))**(1\/19) assuming d is positive.\nAnswer: d**(52\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324\/(-4965)*18\/20?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 3*x + 2208000 = 0. What is x rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 5*q - 29. Does 32 divide c(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4244, -8482, -12712, -16934?\nAnswer: -21148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44\/6 - 8 - -2. Put -4, -2\/11, s in descending order.\nAnswer: s, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -2)\/(-1) - -9533. Suppose h = 4*k - 12717. Let s = 23438 + k. What is s rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 31*b**2 - b - 27. Let v be q(-31). Solve 0 = -2*t + 3*t - v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Is (-114)\/(-9) + p\/6 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 23452, 3, -5 in descending order.\nAnswer: 23452, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 1 + 1)*(-l**2 + 3*l**2 - 4*l**2) + 4*l**4 + l**4 + 5*l**4 - 2*l**4 + 0*l**4 - 2*l**4 + 45*l**4 - 10*l**4 + 9*l**4.\nAnswer: 52*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 2*h**2 - h - 42. What is y(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 518, 1038, 1558, 2078, 2598, 3118?\n\"Answer: 520*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/12 + 1\/4. Suppose -z*a = -0*a - 94. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59 + (-2 - (5 - 3))?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 8138758*p**3 + 3311967461376*p**2 + 1324788286752*p.\nAnswer: p*(p - 813876)**2*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71)\/355*(-15)\/2*3\/(-27)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1200\/15000 - 31530\/375\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 34*q**2 + 2. Let g(x) = 17*x**2 + 1. What is 7*g(w) - 4*r(w)?\nAnswer: -17*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3834206 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3033 divided by -337?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 2351 (c) 2.3 (d) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00089576873 to 6 decimal places.\nAnswer: -0.000896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2)\/v)\/v)\/(v\/v**4*v)*v**(2\/11)\/v**(-1\/7))\/(v**3\/(v\/v**(-7\/4)))**(-2\/3) assuming v is positive.\nAnswer: v**(-697\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3389510 divided by -5?\nAnswer: 677902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9 + j - 9*j**2 + 2*j**3 - 3*j**3 + 2 + 9*j. Let f be ((-20)\/(-7))\/(12\/(-42)). What is the remainder when 42 is divided by a(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 783730, 784017, 784308, 784603, 784902, 785205?\nAnswer: 785512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 4 + 367833119*x - 367833118*x + 27*x**3 + 8*x**2 as m*x**3 + y*x + b + r*x**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 1\/2*z**5 + 0*z + 3\/2*z**2 + 1\/2*z**4 - 31\/6*z**3 + 293. Let a(f) = 0. Calculate f.\nAnswer: -3, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 20. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*s = 0, -b + 0*s = -2*s - 3. Let u(k) = 7*k**2 + 8*k - 12. Is u(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 8:46 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*j = 68*j + 1860. Let x = 310 + j. Which is the nearest to -3\/7? (a) -1\/2 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 13, l: 6}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w\/(((w\/w**(2\/7)*w)\/w)\/w))**7 assuming w is positive.\nAnswer: w**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from xyxlypjjcjyyjccpjxj.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u + 0*u + 3*u - u + 0*u + (3 - 2 + 0)*(u - 2 + 2) - 2*u + 2*u + u - 2*u - 2*u + 7*u)*(-14 + 17 - 103).\nAnswer: -500*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*n + 267*n = -234. What is the remainder when 363 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.139 times 355?\nAnswer: -49.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -300?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v + 5*h, 2 = v + 4*h - 0. Let c(r) = 10*r - 3. What is the tens digit of c(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = -2*o. Let g = -2 + -2. Which is the nearest to o? (a) g (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 10189.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43 - ae4?\nAnswer: -b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -23, 5, 1, -3, -2, 19.\nAnswer: -23, -3, -2, 1, 5, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/5 + 10*t - 92\/5 = 0. What is t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1424 - 160. Suppose -5*u - 4*l = -2*u - g, -3*u = l - 1270. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 148*p - 1. Let s be h(1). Let i(n) = n**3 + 23*n**2 - 26*n - 27. Let q be i(-24). What is the highest common divisor of q and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-273)*-26*(-6)\/(-2). Suppose 4*b = -3*y + 2339, -55*b = -z*y - 59*b + 3124. Does 83 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 323351 and 3073.\nAnswer: 141951089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9037807314.\nAnswer: 2, 3, 1506301219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*d - 5*u + 215, 2*d + 5*u = -145. Let t be d\/(-8)*(-4)\/(-6). Suppose 0 = -t*o + 20, -o - 1 = g - 9. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-5))**41\/(u\/(u\/(u*u**29)))**(33\/2))**(-28) assuming u is positive.\nAnswer: u**6972","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178684.\nAnswer: 2, 11, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1903834 grams to kilograms.\nAnswer: 0.0001903834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 9*f**2)*(-37*f - 7 + 8 + 14*f).\nAnswer: 207*f**3 - 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(36)\/sqrt(4)) + (-4*sqrt(7)*-5)**2.\nAnswer: sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19 times 0.7\nAnswer: 13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and -12.42581.\nAnswer: -173.96134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 605 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 - 194 + 5 = -197*z. Find j such that 0 - 8\/7*j**z + 4\/7*j**2 + 0*j + 4\/7*j**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.7 + -10.3. Let g = -0.6 - f. Let s = -1.6 - 0.4. What is the nearest to -2\/5 in g, 1\/9, s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000067505 rounded to 7 decimal places?\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - -7) + 6 - 8) + (-6 - 1) - -101?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.7. Let p be (-231)\/(-396) + (-1)\/3. Which is the second smallest value? (a) p (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = r - 392, 4*r = -4*y - 350 + 550. Calculate the smallest common multiple of 627 and y.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2880 and -139\/360.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 101715 (base 8) to base 3\nAnswer: 1201021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-22)\/(i**19*i)*(i**(1\/3))**(-7\/5))**20 assuming i is positive.\nAnswer: i**(-2548\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -874 + 881. Let z(b) = -12*b**2 + 9*b - 2. Let u(r) = -6*r**2 + 5*r - 1. Determine a*u(q) - 4*z(q).\nAnswer: 6*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/(-45)*30\/(-8). Solve -21 = -d + 5*h, d - 8 = 3*h + y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.001 + 0.301. Is w > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 8. Let 0 - 1\/3*x**4 + 1\/3*x + 1\/3*x**2 - 1\/3*x**k = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**8\/112 + 57*w**7\/35 - w**4\/8 - 83*w**3\/2 + 182*w**2. Find the second derivative of z(d) wrt d.\nAnswer: -60*d**3 + 4104*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 0*n**3 - n**3 - 4*n + 2 + 2*n**3 + 0*n. Let y(s) be the first derivative of t(s). Let b(q) = 2*q**2. Calculate b(y(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (0 - (6 - 21))) + 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1409110 a multiple of 1130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -1\/2, 0.5, 2\/1405?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18042, -43299, -68554, -93807, -119058?\n\"Answer: n**2 - 25260*n + 7217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 67 = -191. Let n = c - 14. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*f + 1 + 10*f + 34*f - 447*f**2 to the form k + r*f**2 + i*f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0*n**3 - 33\/2*n**2 + 33*n + 0*n**5 + 0 + 0*n**4 - 8\/15*n**6. What is the first derivative of z(i) wrt i?\nAnswer: -64*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*w = 78, -3*h = -5*w + 5 - 219. Let v be 259\/h - (-2)\/(-18). Solve -v*z - 4 + 16 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6913534 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 7, 5*x = 2*u. Suppose -b - 2*a = -6*b + 2, -4*b = -x*a. Suppose 16 = b*q - 26. What is the greatest common divisor of 21 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105 - -87 - 20) + -10\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 503, 562, 651, 764, 895, 1038, 1187, 1336?\nAnswer: 1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17067 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 0 - -70722 - 9\/(-54)*48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169.99776 - 170. What is d rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35002, 70004, 105006, 140008, 175010?\n\"Answer: 35002*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-16782)\/(-4))\/(59\/118)?\nAnswer: 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 451790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 541*c*k*t**3 + 12*c*k*t**2*v**3 + 3*c*k*t + 38*c*t**3 + 8*c + 3*k*t**2*v + 45*k*v + 154*t**3*v**3 wrt t?\nAnswer: 3246*c*k + 228*c + 924*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3 - (-186)\/(-18)) + (-7 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + sqrt(175) + 0 + -3)**2.\nAnswer: 50*sqrt(7) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 9. Let r be h(9). Let l = r + 35. Let k = l - 12. Calculate the remainder when 13 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.4, -33, 4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*b + b**2 + 0*b**2 + 189*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 + x**2 - 2*x**2)*(-5*x + 2*x - 6*x + 2 - 2 - 2*x + (0 + 0 - x)*(4 - 6 + 1) + 2 - x - 2 - x + 3*x + 0*x).\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3748, -3749, -3750, -3751, -3752, -3753?\n\"Answer: -u - 3747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/1080 and 143\/69660.\nAnswer: 139320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57641399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 - 157*m + 236. Give b(-54).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 4) to base 11.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 1) + (0 - (-3 + 16 + -15)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350)\/105*1\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444327.\nAnswer: 3, 13, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -404633002?\nAnswer: 404633005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, -528.5, -6, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 4*v**3 + 0*v**3)*(2*v - 4*v + 3*v) - 2*v**2 + 2*v**2 + 2*v**4 + 118*v**4 - 18*v**4 + 60*v**4.\nAnswer: 161*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81.2 - -92. Let j = q - 11. Let y = 0.2 - j. Which is the third biggest value? (a) y (b) -0.4 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -792, -1578, -2362, -3144, -3924, -4702?\nAnswer: -5478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1993, 3986, 5979, 7972, 9965, 11958?\nAnswer: 13951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 990409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*v + 13 - 3, -3*v - 54 = -3*q. Let w(s) = -s + 23. What is w(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*m - 45 + 193 = 0, -2*y = -3*m + 71. Let p be 182\/10 - (-8)\/y. Let f = 1 + p. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*q**2 + 163*q**2 + 3*q**3 + 164*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -5, -0.4, 2, 13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -296.72 + 297.02. What is the third biggest value in k, 10, -253?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 113*d**2 - 13*d - 68. What is the tens digit of n(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t - 123. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151*z**6 - 3*z**5 + 215*z**2?\nAnswer: 18120*z**3 - 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:34 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 31207217?\nAnswer: -31207211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-4)\/(-15)*26\/52\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 152, 145, 134, 119, 100, 77?\n\"Answer: -2*h**2 - h + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**15\/v**(-22))\/((v*v**(1\/7)*v*v)\/(v*v*v**(1\/8)*v*v)) assuming v is positive.\nAnswer: v**(2127\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22963206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/12980 and -197\/272580.\nAnswer: 272580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 2. Let c be b(-6). Suppose 4*o = 4*z - 64, 2*z - c*o - 39 = 1. Let y(n) = 3*n - 10. Calculate the lowest common multiple of y(8) and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4 = -2*c, 5*c + 18*m + 10 = 22*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.59 or 7139992?\nAnswer: 7139992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - -17 - (11 + 17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -210309.0033 - -210331. Let y = -22 + c. What is y rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-4*1*sqrt(847) + sqrt(847) - sqrt(847)) + -1)*5)**2.\nAnswer: 55000*sqrt(7) + 8470625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -18 + 13 - (1 + -5). Let s(l) = -l**2 + 3. Let h(a) = 1. Let g(v) = r*h(v) + s(v). Calculate g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 6*n**2 - n - 1. Suppose 2*p - 4*p + 12 = 0. Give f(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1272.891 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/18683 - 56079\/93415. Let w = 1276\/7 - 182. Sort w, 0.18, x.\nAnswer: x, 0.18, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 222*a**3\/17 - 4214*a**2\/17 + 10580*a\/17 + 192\/17 = 0.\nAnswer: -2\/111, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 21*d. Let o(t) = -3*t**2 - 19*t. Let s(h) = 5*o(h) + 6*v(h). Let y(w) = w**2. Determine y(s(j)).\nAnswer: 81*j**4 - 558*j**3 + 961*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/5))\/(b\/(b**(1\/4)\/b))*b**(-1\/2)\/(b\/(b**(-2\/3)*b)))**(-6\/5) assuming b is positive.\nAnswer: b**(127\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (5 + (-6)\/2). Suppose l*j - 44 = -j. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -334010*r**3 + 8944*r**2 - 8*r + 1 wrt r.\nAnswer: -2004060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 10 = s. Suppose -50 = -5*n + 90. What is the highest common factor of s and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31232, 31228, 31214, 31184, 31132, 31052, 30938, 30784?\n\"Answer: -z**3 + z**2 + 31232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100100100001011 (base 2) in base 10?\nAnswer: 51467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -2. What is the closest to w in 1\/2, 0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/((-2)\/6). Suppose 5*w - 2*p - 21 = 43, 2*w - p - 25 = 0. What is the common denominator of 37\/34 and y\/6*(-1197)\/w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2244 - 3510. List the prime factors of (-1)\/(-2) + s\/(-12).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61938 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t**2 + 13*t**4 + 630 - 630 + (2*t**2 - 1 + 1)*(4*t**2 + 0*t**2 - 2*t**2) as c*t**2 + u*t**4 + p*t**3 + l + i*t and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {j: 5, i: 2, e: 9}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 191 - 191.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 1664 = 4*w. What is the units digit of w*((-176)\/(-96) - (-2)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.2899 rounded to two dps?\nAnswer: -20.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**6\/360 - 73*d**5\/180 - 113*d**4\/36 - 76*d**3\/9 + 602*d**2. Factor c(r).\nAnswer: (r - 76)*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-96) - ((-1)\/3 + 1). Which is greater: q or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by 3.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12022002212021 (base 3) to base 7.\nAnswer: 32641054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 5*m**8\/168 + 7*m**4\/24 - 5*m**2. Find the second derivative of v(q) wrt q.\nAnswer: 200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*g = 19 - 91, -g + 96 = 5*k. Suppose 4*r = 3*r + k. Calculate the remainder when 33 is divided by 66\/8 - (-15)\/r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - 281)*(-95)\/38?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - -301101102?\nAnswer: 301100332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1263 and -35\/1263.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -107 (base 8) to base 16\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -4, 4\/9, -9, -1\/23, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1194673 and 689?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7116?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1221591, 2443204, 3664817, 4886430?\nAnswer: 6108043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 80*z**2 - 364*z.\nAnswer: -4*z*(z - 13)*(z - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.23 - -21.13. Suppose 0 = 2*r + 4, -3*c + 5*r - 23 = 36. Let g = 14.9 - 15. What is the nearest to x in g, c, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/12 + 27*z**2\/4 - 41*z\/6.\nAnswer: z*(z - 1)*(z + 82)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 9:41 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 19947 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 409268 (base 10) to base 3.\nAnswer: 202210102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - 0. Let c = o - -15. Suppose a - c*x - 21 = 0, a + 3*a - 16 = 3*x. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v = 35. Suppose 2*g = 3*f + v*g + 45, -17 = 2*f - g. Let h = -3 - f. Solve 4*u = -9 - h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/(-95) - (1 + 19\/(-5)). Which is the biggest value? (a) 4 (b) 1.4 (c) 3\/4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by -75\nAnswer: -44\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 188.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + 4*l**3 - 3*l**3)*(-3 + 1 + 3)*(5*l + 0*l + l).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6 + 3. Suppose m = 4*i + 1. Solve i*p - 5*p = 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7253 - 6909. Solve -g*f = -350*f + 54 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-5426\nAnswer: -10852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 1. Let m be (-10 - -3) + 16 + (-42)\/(-7). Solve 0*r + q - m = t*r, -q = 5*r + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqtq when four letters picked without replacement from ggtgtttqtgttq?\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 166*g + 11. List the prime factors of y(-17).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r - 1. Suppose -4*p + 71 = -9. Suppose -2*t - p = 3*t. Let z(o) = 11*o + 2. Give t*z(f) - 7*n(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1540025653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 14*z**2 - 15*z + 14. Let f be j(15). Suppose 0 = 17*r - f*r - 36. Calculate the lowest common multiple of r and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184079?\nAnswer: 7, 26297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -3 - (5 - 194). Suppose 71 = 3*r - v. What is the greatest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 7*r + 2. Let y be -11 + 10 - (-6)\/(-1). Let v be s(y). Suppose 5*h - v = 3. Solve -3*a = -h + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18871*a = -18042*a - 2487 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2057e2 - b?\nAnswer: 2057d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 2899824.\nAnswer: 2899822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/16 and 7\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3919 is divided by 251.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (120*j - 60*j - 53*j)*(2 - 2 + j**2) to the form y + x*j + c*j**3 + h*j**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - b**2 - 9. Let d be (-1)\/(-2) - 3\/6. Let a be (2 - (d + 3))*2. Let y = a + 2. Determine q(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165 + -145. Find the first derivative of -f + 15*p - 471*p**3 + 240*p**3 + 235*p**3 wrt p.\nAnswer: 12*p**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 + (-32)\/(-105). Let v = 53\/105 - w. Let p = 298\/5 - 60. Which is the smallest value? (a) v (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318393 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -18) + (-9)\/3. Let r = -1888 - -2057. Calculate the greatest common factor of a and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17373204?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5 = k, -2*j - 8 = -j + 2*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-45) - 158\/(-6). Suppose 0*z + 3*z - q = -5*o, 2*z + o - 11 = 0. What is the nearest to -0.2 in -3, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4503 - -4498. What is the third smallest value in g, 0.1, 1\/24, 0.3, 6\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 1905393*c.\nAnswer: c*(c - 1905393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333.315817 rounded to 1 decimal place?\nAnswer: 2333.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/25 and -13\/3020?\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 77. Solve -5*q = -4*j + c, 4*j - 19 = -7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywhhziwiiziuiiiiw. Give prob of picking 1 z and 1 h.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 721329.6 hours in nanoseconds?\nAnswer: 2596786560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5464 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**6\/2 + 3*k**4\/2 - 3*k**2\/2 - 2. Factor m(l).\nAnswer: -3*l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-39)\/12 - -3)\/(-6 + (-27)\/(-4)). Which is greater: z or 3\/82?\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 - 167 + 78)*(x**2 - x**2 - 16*x**3).\nAnswer: 352*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k + 2. Let i(c) = c**3 + 6*c**2 + 5*c + 7. Let s be i(-5). Let q(p) = -13*p - 1 + s + 1. Calculate 7*l(j) - 2*q(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333418 is divided by 46.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/19 (b) 62 (c) -2 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166 - 112. Suppose -r + h - 59 = 0. Does 2 divide 50\/(-20)*4\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -36.4.\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 14. Calculate the remainder when 3 - 43*2\/(-2) is divided by r(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17525 - 17525 + 2429*g.\nAnswer: 2429*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*v = 57, 293 = 5*n - 2*v + 255 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 146083 = 77*p - 73*p, -116870 = -4*u - 5*p. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1712*w + 1714*w = 5*h + 38, -5*h + 5*w - 110 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1408\/286 + 12 - 17?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61947584213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexxxxexxxxxeexxxxx. What is prob of sequence eex?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1969, 3934, 5899, 7864, 9829?\nAnswer: 11794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 18 - 23 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1655*y + 39715. What is r(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 36837.\nAnswer: 2210.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**4 - 262600*j**3*q + 1298595*q with respect to j.\nAnswer: 4*j**3 - 787800*j**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:52 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 2*o + 4, 3*q + q - 5*o + 13 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314591370?\nAnswer: 2, 3, 5, 97, 108107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*r**2 + 562 - 59*r**2 + 458 - 1020 - 141*r**2.\nAnswer: -161*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 17170631?\nAnswer: 17170617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1118\/73 and 16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104147165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-9)\/((-396)\/55)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a factor of 138581531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -12. Let b be (-1)\/(-3) - 671\/a. Let g = b + 34. What is the highest common divisor of g and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/((-21)\/(-2)) + 36296\/12. Let w be (-1088)\/m + (-4)\/(-14). Let b = 4 - 4. Which is greater: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 14, 1, 4, -2 in decreasing order.\nAnswer: 14, 4, 1, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26529, -1, 3543 in decreasing order.\nAnswer: 3543, -1, -26529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9820 + 13950. What is s rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4748\/(-66) + 16\/(-264) - -17?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s - 3. Let k(l) = 7*l + 16 - 8*l - 16. What is -3*k(w) - u(w)?\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 3*l + z, -3578 = 5*l + z - 3632 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueuo when four letters picked without replacement from {n: 1, o: 11, e: 1, q: 2, u: 3}.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64 - 23?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 167904.\nAnswer: 1175328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -66*c - 89. Let l(o) = -196*o - 265. Let f(x) = -8*j(x) + 3*l(x). Differentiate f(n) with respect to n.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16312 = 1163*f + 8111 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7335, 0.06, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 and 8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 1. Let b(n) = -1. Let y = 5 + -4. Let v(p) = y*k(p) + b(p). What is the units digit of v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26703198, -213625621, -720986490, -1709005029, -3337900462, -5767892013, -9159198906, -13672040365?\nAnswer: -19466635614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 8364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Suppose -10*p + 5*z = -6*p - 2724, -5*z = -p + 681. Solve 12*x + 657 = p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8088532778 to the nearest integer?\nAnswer: 89936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -453 - -915\/2. Which is the third smallest value? (a) -2 (b) 0.1 (c) p (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 2:28 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-10) - (-57425)\/125.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(128)*2*1*-6 + -4*(sqrt(128) + -4*sqrt(128) + -3 + sqrt(128)))**2.\nAnswer: -640*sqrt(2) + 2148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/18)\/(2540\/(-1434)). Let d = -8515\/762 - -67\/6. Let y = d + k. Is y < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*d - 14, -5*o = d - 3*d - 14. Factor 328*q + 2*q**3 + 31*q**o + 11 - 7*q**2 - 298*q - 3*q**4.\nAnswer: -(q + 1)**3*(3*q - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*r + 11*r - 18*r)*(r**2 - r**2 - 3*r**2) in the form k*r**2 + l + i*r + y*r**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:17 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 956417 and 695576.\nAnswer: 7651336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3\/2, -0.9, 2\/5, 2\/7?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3989236?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 549 = 555 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7*q*q\/q**0*q)\/(q**(2\/15)*q*q**(-1)\/q) assuming q is positive.\nAnswer: q**(163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -48583873665 and -1.8?\nAnswer: 48583873663.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 5:57 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 - -44.3. Let f = -36.975 + y. Let a = f + 0.475. Put -0.5, 2\/3, 0.07, a in decreasing order.\nAnswer: 2\/3, a, 0.07, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {z: 3, c: 2, d: 15}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 10*m + 2. Let j be r(10). Suppose n = 3*f + 12, 4*n - 15 = -j*f + 3*f. What is the remainder when 7 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 - 1. Let l = 794 + -386. Suppose 8*p = -9*p + l. What is the remainder when m is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 970430\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 4:00 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 3 - 2)*(5 - 4 + 1) - 2 - 1 - 1 + (1 + 1 - 3)*(1 + 2 - 1))*(1 + 3 - 7 + (-1 + 2 + 2)*(18 - 1 - 4))*(-4*b**2 + 0*b**2 + 2*b**2).\nAnswer: 288*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 67218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-3*3\/(-9)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -734 - 2257 = -3*m. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.043 + -0.081.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78\/14 - 18\/(-42). Let l(r) = 2*r**3 - r**2 + 8. Let z be l(n). Suppose -f + z = f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - d + 0*d - 190 = -246 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(2 + -8) - 77. Let s = x + 63. Let b = 1\/161 + -1773\/322. Calculate the common denominator of s and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, -5, -33, 0.04, -1, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q + 21. Determine j(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3185)\/(-1450) - 2 - ((-172)\/(-40) + -4).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001010010011 (base 2) in base 14?\nAnswer: 79bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -13. Suppose -4*d - 15 = -z. What are the prime factors of d\/(6 + 0)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 945*m + 392177. What is w(312)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 3*n + n + n + 1 + 2. Let x be d(0). Suppose -x*a - 2*a + 165 = 0. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4842, -4309, -2846, 9, 4718, 11743?\nAnswer: 21546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3981*v**2 + 3981*v**2 + 4*v**3 + 49*v + 2 to the form l*v**3 + c*v**2 + k + u*v and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 466*r**3 - 3*r + 3. Calculate i(1).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/(18\/((-3762)\/(-55))).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**2 + 668*c + 528.\nAnswer: 2*(c + 66)*(5*c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 4*z - 2*p - 6, 5*z = -3*p - 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9683463567.7 - 0.29.\nAnswer: -9683463567.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 3*h - 72 = 0. What is the remainder when 22 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9249 - -16334. What is the greatest common factor of 109 and i?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(44)\/(sqrt(4)*2) + sqrt(22)\/(sqrt(8)*-5).\nAnswer: 19*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 11 + 31 = -2*h, -4*w = -h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 16. Give j(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96726 divided by 6.\nAnswer: 16121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -39*h - 29. Let w be f(14). Let m = w + 803. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 1123572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*j + 155 = 0, -3*a + 4*j + 0 = -79. Let w be 7\/(7\/a) - 6. Let d be 25 - (8\/2 + -2). Calculate the highest common factor of w and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1471 - -1344.775. Let h = 0.225 + v. Let m = -125 - h. What is the closest to m in 0.1, 5, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31159, -124590, -280315, -498340, -778671, -1121314?\nAnswer: -1526275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*g - 24, g - 11 = -4*t + 6*g. Let z(k) = k**2 - 6*k + 3. Let c be z(4). What is the second biggest value in t, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/13 (b) -0.0039 (c) -2.9 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*-3 + 2*sqrt(70)*3)\/((-1*sqrt(750))\/(sqrt(363)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**7\/70 - 3*b**4\/8 - b**2. Find the second derivative of w(t) wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 344379061*n**3 - 29282739*n - 2.\nAnswer: 2066274366*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 9) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/2 - 4353*h**3 - 43580*h**2 = 0.\nAnswer: -10, 0, 8716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/4999 - -5059\/74985. Let u(s) be the third derivative of 0*s**3 + 0*s**4 + 0 + 0*s + i*s**5 - 40*s**2. Let j(y) = 23*y. Determine u(j(h)).\nAnswer: 2116*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 9*s**2 + 9*s. Give z(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*v**3 + 48420*v**2 - 24204*v**2 - 24216*v**2 + 11 as n + y*v**3 + c*v + d*v**2 and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-48))\/(((-4)\/2)\/(-16)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 188 and 46859?\nAnswer: 187436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 14*q - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31021498 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v*v*v**(2\/7))\/v)))**0*((v**(-2\/7)\/v)\/v*v)**(-2\/161))\/(((v**(-4)\/v*v)\/((v\/v**(-2\/5))\/v*v*v))\/(v\/v**(-2\/9))**(2\/31)) assuming v is positive.\nAnswer: v**(10210936\/1572165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 38 times 3645332\nAnswer: 138522616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 524 (b) -3 (c) 20\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -22. Suppose -q - 9 = -4*q. Let f(s) = -s**2 + 10*s - 5. Let a be f(10). Sort q, o, a in decreasing order.\nAnswer: o, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.037074 - -5.\nAnswer: 4.962926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/8 - 3*y**2\/4 + 15*y\/8 + 9\/4.\nAnswer: -3*(y - 2)*(y + 1)*(y + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, y: 5, d: 1, t: 1, e: 5}. What is prob of sequence eedr?\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/(((-182)\/140)\/(-13))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -96 in increasing order.\nAnswer: -96, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, l: 1, a: 4, d: 4, b: 1, e: 1}. What is prob of sequence ie?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwx when three letters picked without replacement from {w: 1, i: 2, x: 1, b: 1, v: 2, r: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 295834476 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*92\/(-138).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 359*g**3 + 10*g - 14. Let f be k(4). Suppose 0 = 39*u + f - 85636. List the prime factors of u.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 3. Suppose 2*l + 5*k + 16 - 5 = 0, -5*l + 4*k + 55 = 0. Let p be j(l). Find the third derivative of 10*v**6 + 0*v**2 - p*v**6 + 3*v**2 wrt v.\nAnswer: 720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478947769 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 h when four letters picked without replacement from {s: 1, q: 4, r: 2, h: 3, x: 9}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -1\/70*s**7 + 1\/10*s**4 - 1\/50*s**6 - 3\/10*s**2 + 3\/50*s**5 + 0 - 1\/10*s**3 + 6*s. Factor y(m).\nAnswer: -3*(m - 1)**2*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**5 + 37*l**5 + 4*l**5 + (-2 + 4 + 3)*(0*l + 0*l - 2*l**5) + (-l + 3*l**2 + l)*(-l**3 + l**3 + 8*l**3).\nAnswer: 62*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7. Suppose y = a - 1 - 3. Let i(d) = -3*d**2 + d - 18. Let u(j) = -j**2 - 6. Let g(z) = 4*i(z) - 11*u(z). Calculate g(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4514 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 64. Let w be -8 - 1*m\/3. Is ((-11)\/(-2))\/(w*(-2)\/620) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416559067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4\/5 + 912*d**3\/5 - 70218*d**2\/5 + 137712*d\/5 - 68403\/5 = 0 for d.\nAnswer: 1, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 118301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 36859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23193 is divided by 11542?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 332387 and 536?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -116, -160, -184, -158, -52, 164?\n\"Answer: 5*t**3 - 20*t**2 - 19*t - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4586651, -9173546, -13760439, -18347330, -22934219, -27521106?\nAnswer: -32107991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2303*s**2 - 2422*s**2 + 4844*s**2 in the form v + q*s**2 + u*s and give q.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (22 - 46) - -49?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 5 (c) 40 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 510\/47? (a) -5 (b) -0.4 (c) -13 (d) 0.3 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1505 * -0.17.\nAnswer: -255.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 4 (c) -4 (d) -1844 (e) 0.4 (f) -377 (g) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-20 + 8 + 6)*(2*z**3 - z**3 + 7*z**3).\nAnswer: -48*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 283357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189821259.\nAnswer: 3, 227, 30971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42611640 and 12.\nAnswer: 42611640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 13\/24*q**4 + 0 - 1\/4*q**5 - 1\/120*q**6 + 11\/6*q**3 - 8*q**2 + 0*q. List the prime factors of g(-16).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*1305.32.\nAnswer: 26106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwzwwwzzwwwwwzwwzw. Give prob of sequence wzzz.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -4. Let w = 927 + -926. Let r be (-1 + (0 - 1) - 0) + 7. Put r, w, 2, k in descending order.\nAnswer: r, k, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x + 8. Let u(n) = 9*n**3 - 3*n**2 + 2*n - 2. Does 17 divide u(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0*x**2 + 0*x**2 + x**2. Let c(b) = -43*b + 262. Let k(u) = -56*u + 328. Let a(s) = 5*c(s) - 4*k(s). Give t(a(p)).\nAnswer: 81*p**2 - 36*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17819760*w**5 + 116642*w**2 + 3*w + 1.\nAnswer: -1069185600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149081\/21 + -7099. What is the nearest to 2\/27 in 2, -2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 303\/113 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 646573049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 935356353 to the nearest integer?\nAnswer: 30584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 333.\nAnswer: 4329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40816742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593830844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2355 = -36*a - 5*a + 3959. Let l(c) = -c**3 - c**2 - c. Let g(q) = -88*q**3 - 77*q**2 - 77*q. Calculate a*l(t) - 2*g(t).\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64447, -128907, -193381, -257875, -322395, -386947?\n\"Answer: -x**3 - x**2 - 64450*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/112*(-1 - 5)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.4 - 2.4. Let r = n + 6. Let m = r - 28. Which is the nearest to 1\/3? (a) -5\/3 (b) m (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/(-1260) + 4\/(-10)*-2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8161211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 take away -2.14?\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/319 + 127\/29. Which is the closest to -1\/2? (a) m (b) -1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -240 - -2?\nAnswer: -23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-36))\/((-30)\/135)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4011*r**3 + 3*r**2 - 11*r + 9. Let v be w(1). Is -4011 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/2861040 and -75\/48208?\nAnswer: 65803920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1428434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16465947 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 463 - 234. Let n = y + -262. Which is the smallest value? (a) -2\/5 (b) n (c) -1\/4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 11. Suppose -720 = -s*y - 3*y. Let o be ((-2)\/(-4))\/(3\/y). Calculate the greatest common divisor of 16 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26.471106 months?\nAnswer: 0.22059255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (405\/(-135))\/(-4 + 9 + -4*1). Let w = 3.2 + -23.2. Sort 0, p, w in decreasing order.\nAnswer: 0, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*a - 36, 0 = -2*u - u + 3*a - 27. Let b = -6 - u. Suppose 3*c - 9 = -g - 0*g, -5*g - 6 = -2*c. What is the highest common factor of c and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.13 (c) -1.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223277607 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + (17 - 19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77725 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*z + 5, z + 5 = -0*z. Suppose -5*l = -5 - 10, m*v + 4*l = -93. Let b = v - -52. What is the remainder when 185 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13438 - -6905. Let h = 163\/50975 - 5326635233\/815600. Let m = g - h. What is the common denominator of m and -67\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 17058\nAnswer: 5117.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 675471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 990 (c) -0.4 (d) -0.2 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22060 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60933?\nAnswer: 3, 19, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48346820.\nAnswer: 2, 5, 2417341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is (-78968)\/(-3432) - 23 - (-10)\/195?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3892 - -3479447\/894. Let p be (2 - 2) + 34851\/13410. Let j = p - h. Calculate the common denominator of j and -18\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.0251 and -37.621.\nAnswer: -39.6461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 - 2*f. Let i be g(2). Let j = 0.01 - 1.21. Let l = j + 1.7. Which is the closest to i? (a) 2\/13 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -417 = -420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184667 and 644?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*z + 22*j**2*z - 2*j**2 - 52*z + 2 wrt j.\nAnswer: 3*j**2*z + 44*j*z - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -135711*-0.08\nAnswer: 10856.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*j + 9*j = 0. Solve j = 5*n - 25, 5*x + 15 + 30 = 5*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmohxhhhhhhohhmmhh. Give prob of picking 1 m and 1 o.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1593175*c + 136518 wrt c.\nAnswer: -1593175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -135 - -177. What is the highest common divisor of o and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/((-99)\/231)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = 4*a + 4*p - 8, -3*p = -7*a + 2*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rllllcrlll. What is prob of sequence lrc?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 100 - 224. Let g be (6\/z)\/(3\/9). Let j = 762 + -761. Which is the nearest to 0.2? (a) -3 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38615480, -77230960, -115846440, -154461920?\n\"Answer: -38615480*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -123. Let y = q + 57.8. What is the second smallest value in -24, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23632 (base 9) to base 11.\nAnswer: -10986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t. Let w(b) = -1181*b. Determine w(r(m)).\nAnswer: 1181*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 659, -4, 0, -1.\nAnswer: -4, -1, 0, 6, 659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1744?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*v**3 + v**2 + 3708*v**4 - 3*v**2 - 3710*v**4 to the form s*v**4 + p*v + d*v**2 + q*v**3 + n and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18786, 75232, 169298, 300978, 470266, 677156, 921642?\n\"Answer: -g**3 + 18816*g**2 + 5*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*11\/330*3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, 1, -0.224?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c. Let x(n) = -8732*n. Calculate i(x(u)).\nAnswer: -26196*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 70\/46989?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2009047 to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**18\/o*o)*o)\/(o\/o**(-17))*(o**(-14)\/o)\/((o*o**9)\/o))**6 assuming o is positive.\nAnswer: o**(-348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -251027 or -251029?\nAnswer: -251027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19057 by -2.\nAnswer: 19057\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 153184070 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -255, -253, -251, -249, -247?\n\"Answer: 2*z - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2 + 99*r + 270 = 0 for r.\nAnswer: -30, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 40*u**2 - 26*u + 47. Is v(42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6\/d)\/d)**(-2\/23) assuming d is positive.\nAnswer: d**(-8\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d + 2. Let t(n) = 0*n + 6 - 20*n - 2*n. Let v(o) = o**3 + 17*o**2 + 243*o + 4693. Let c be v(-18). Determine c*t(f) + 16*h(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*y - y = 8729, -4*t - 6979 = -y. List the prime factors of t\/(-65) + (-2)\/(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2 - 42264*i - 20591734 = 0. What is i?\nAnswer: -20633, -499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 55. Which is the nearest to -0.4? (a) 0.1 (b) l (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 17. Let y be i(-12). Find the third derivative of 3*t**4 + y*t**2 - 4*t**2 - 5*t**2 wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Solve -3*t - 714 = 237*u + 4*t - 4*t, 0 = 2*u + 5*t + 4 + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 12 = -90. Let j = 20682 + -20663. Calculate the remainder when l is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) -2 (c) -9 (d) 922 (e) -215.2 (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 118962257 a multiple of 1622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 13, 13, 9?\n\"Answer: -2*f**2 + 10*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 5942?\nAnswer: 59.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128 - -133. Suppose 10*z + f = 6*z + 6631, 5*z + q*f = 8300. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215 is divided by 397.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.96 + 71. Let v be (3 + -1)*(-4)\/(-6 + 2). Sort -0.2, w, 0, v.\nAnswer: -0.2, 0, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 6*i = -3*t - 9*i + 24*i, -2*i = -5*t - 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10211 - -3384. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 15*j**2 + 9*j + 40. Let o be -4 - -4 - 4 - (0 - -3). Let c be -6*364\/117*(-6)\/o. Is d(c) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 23*u - 20*u - 17, 350*r - 345*r = -8*u + 34 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24488 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5033 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16485366?\nAnswer: 2, 3, 31, 263, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.014792 kilograms?\nAnswer: 8014792000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from paakyppppkppkykpk. Give prob of picking 2 a.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3247 times -1938?\nAnswer: 6292686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - h + 37, 0*s - 3*s + 39 = 3*h. Calculate the highest common factor of s and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-105)\/(19 - 2 - 18)*(-1)\/(-1). Let h be 12\/(1 + 134\/(-140)). What is the highest common divisor of t and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948751720?\nAnswer: 2, 5, 7, 69151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 39, 5, -0.5, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*((-1207)\/(-7))\/(-71).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, -31, -187, -489, -985, -1723, -2751, -4117?\n\"Answer: -8*m**3 - m**2 + m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 11*k**2 - 17*k - 48. Is 3 a factor of q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*g + 65*g + 45*g + (-g + 2*g + 0*g)*(-3 - 2 + 4) to p + z*g and give z.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173469306 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42849, -92446, -142045, -191646?\n\"Answer: -z**2 - 49594*z + 6746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 44 + 26 = 0. Let w(g) = -g**3 + 6*g**2 - 4*g + 7. Let r(d) = 2*d**3 - 9*d**2 + 6*d - 10. Let m(q) = 5*r(q) + 7*w(q). Is m(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0293 + 2.9707. Let o = -3223\/15 + 215. What is the biggest value in d, -5, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*k + 4*m, m = -3*k + 382 - 390. Solve k = 43*u + 197 + 190 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (187\/(-88))\/(8\/64)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2263 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 23*r**3 - 7*r**2 - 6 + 9 - 5*r - 25*r**3. What are the prime factors of n(-5)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffd when three letters picked without replacement from fffdd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -712 - -868. What is the remainder when 577 is divided by s?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-9 - 810\/(-60)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let r = 3252\/5 - 3253\/5. Put r, x, -2\/7 in ascending order.\nAnswer: -2\/7, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 13.9 (c) -477993\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i - 14. Let u = 26 - 15. What is the remainder when f(u) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1256.8064 + -1257. Round b to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 9*p**2 - 10*p. Let u be d(10). Suppose 2*r - r = u. Let h(n) = -n + 27. Let l be h(r). Solve 5*q = -4*z - l + 3, 3*z + q + 7 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)\/(x**(-4)*x))**(-2\/39)\/((x**0)**(1\/9)\/((x**8*x)\/x**(-2\/33))) assuming x is positive.\nAnswer: x**(4063\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6636083 - 14636083. What is y rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(8)*-1) - (sqrt(110)*-1)\/sqrt(11))\/(-1*sqrt(288) + sqrt(288) + sqrt(2) + (sqrt(2) - sqrt(24)\/sqrt(192))) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 1591715?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6477362 - 1?\nAnswer: 6477361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 - 16 = 3*r. Let h = -16 - r. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33396290, -33396287, -33396284, -33396281, -33396278, -33396275?\n\"Answer: 3*z - 33396293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 10*b**2 - 5*b - 10. Let r be z(-4). Let d = r + -34. What is the greatest common divisor of d and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.271 - -1.9. What is q rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 18. Suppose 0 = 5*b - 2*n - 3*n + r, 0 = 4*b + n - 13. Suppose -2*d = 4*m - 12, -b*m = -4*d - 4*m - 6. Sort 1, d, 5 in descending order.\nAnswer: 5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/17 - 3567\/(-697). Suppose -2 = -3*c - j, 2 - 12 = v*c + 5*j. Solve 8*x - 3*x = c*z + 13, -1 = 5*z - 2*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25428 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1142*g - 883. Is f(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 2:52 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z + 945 = -75*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**9\/3780 + b**5\/60 - b**4\/6 - 3*b. Let z(u) be the third derivative of x(u). Differentiate z(p) with respect to p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:27 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.047 (b) -0.1 (c) 2\/13 (d) 5 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -22179*c + 9954*c - 10254*c in the form o*c + f and give o.\nAnswer: -22479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*j + 122570 = 1198*j for j.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -118) + -119 + -32?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2138 - -2126.93. Let i = w - -0.07. Let u = 11.2 + i. Which is the second biggest value? (a) 0.4 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -y + 29 + 33, 3*k + 326 = 5*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.074 + 546142662.\nAnswer: 546142661.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001 - -110111000011100001101?\nAnswer: 110111000011101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2901 is divided by 592?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*z - 18*z + 9*z)*(-2*z + 2*z + 2*z + (0 - 2*z + 0)*(-1 - 3 + 6) + 3*z + 133*z - 72*z) to the form b*z**2 + u*z + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3 (c) -0.3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1738*j + 1781. Give v(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 714252 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u + 5*x = -5, -5*u - 3*x = 15. Let c(m) = m + 43. Let p(s) = -11. Let a(b) = c(b) + 3*p(b). What is a(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1003800101021\/20 + 50171345276. Let o = 18672956 + d. Let a = o + -13185. Calculate the common denominator of a and 29\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27321 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9802 (base 14) to base 9\nAnswer: 40024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126147344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3653747 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/5*(-20)\/24. Let w be 2\/(-9) - 25\/(-45). Which is bigger: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*q = 2*m - 73159991, -2*m + 36579991 = -3*q. What is m rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243 - 231. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.28 - -0.64. Let w = s + 0.04. Let v = 0 + 0. What is the nearest to v in 3, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.545055 + 0.00489. Let p = 0.54 + d. Round p to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.79087m in millimeters?\nAnswer: 89790.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1452, 9, -4\/11, 1\/2 in ascending order.\nAnswer: -1452, -4\/11, 1\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6044356950 minus -13.51?\nAnswer: -6044356936.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.1 - -11. Let l = 3\/7 + -5\/28. Which is bigger: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2. Let b be (-3)\/((-9)\/6) - 0. Let h(n) = 4*n**b - n**2 + 2*n - n. Let u(t) = 3*h(t) + 4*w(t). Find the second derivative of u(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -104*l + 515. What is k(6)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2328?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*-2)\/(sqrt(72)\/(sqrt(27)\/sqrt(3))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(70\/12) - (-2 - 41492\/110) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 3\/2, 28?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3980640872 to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -238.222 - -48782378?\nAnswer: 48782139.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410846624 and 40.\nAnswer: 2054233120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4092 and 2232?\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -8*l + 23. Suppose -l*o + 38 = -3*o. Solve -5*c + o - 4 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48220 - 48192. Let d = 58 - 39. Calculate the remainder when b is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*-6*(2*sqrt(200) + 3)*-5*-1)**2.\nAnswer: 62208000*sqrt(2) + 419385600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 19*u - 334648 - 90017 = 0. What are the prime factors of u?\nAnswer: 3, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q - 35 = -23*q. Let a(g) = -g**2 + 6*g. Let j be a(5). Suppose q = 3*l + 4*z, 0*l - 5*z + 50 = j*l. Solve -3*n + l*n - 10 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-28)\/(-21) + 2 + (-50)\/15. Put -5, -24, b, 0.02 in decreasing order.\nAnswer: 0.02, b, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 411, 633, 855, 1077?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 7*a - 2*a + (-10 + 2 + 3)*(-1 + a + 1))*(0 - 10 - 7)*(-4 + 1 + 7) + (0 + 4 - 2)*(0 + 0 + 6*a) to the form t*a + o and give t.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2\/7 + 24062*t + 45453468\/7 = 0.\nAnswer: -269, 84486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -11*t + 3. Let x be j(2). Let d = x + 13. Let k be (-8750)\/d*(-1 + 1630 - -3). What is k rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1398492 and 1058.\nAnswer: 32165316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1747 divided by 53?\nAnswer: -1747\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/125)\/(1\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 4 in descending order.\nAnswer: 8, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -2.1. Let l = f - -0.4. What is the third smallest value in -0.2, l, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923666564.\nAnswer: 2, 89, 2594569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2 = 12. Let q = 5 - 3. Solve -4*a - v*o = 22, -a + q*o = 4 - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-13) + (1 - (2 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1000687, -2001379, -3002069, -4002757, -5003443, -6004127?\nAnswer: -7004809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1892837, 1892939, 1893041, 1893143, 1893245?\n\"Answer: 102*p + 1892735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*l**4 + 7*l**4 + 2*l**4)*(31*l + 27*l - 4*l)*(-2 + 3 - 2).\nAnswer: 216*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 4, -2, 6.\nAnswer: -2, -1, 4, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*l + 9 = 0, -p - 2*l - 18 = -7. Put 2\/13, p, -4, 7.2 in increasing order.\nAnswer: -4, p, 2\/13, 7.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4321.44 to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1665, 11, -1946, 3.\nAnswer: -1946, 3, 11, 1665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**2 - 5*f + 8. Calculate q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - 11)*0\/(-2). Sort d, 5, -2 in decreasing order.\nAnswer: 5, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m + 7626 = 34*m. Suppose 4*q = -u + m, -2*q - 2*u = -5*u - 1264. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:07 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (11880\/102900)\/99*-7\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1134 + 1186. Solve 5*g + 32 = c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 58. Calculate the remainder when 325 is divided by t(-44).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37413\/41570*5*(-2)\/8\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -3, 32, -1, 3\/8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q - 6. Let r(g) be the first derivative of -5*g**3\/3 - 17*g**2\/2 - g + 12. Let b(k) = -k**2 - 4*k. What is q*r(n) - 9*b(n)?\nAnswer: -n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8200584 by -1025073.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 17 = 4*h, -3*z = -6*z - 3. Solve h*y = 7*y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138*a**2*u + 39*a*u - 1460*a + 5187178*u wrt a.\nAnswer: -276*a*u + 39*u - 1460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*a**2 + 4 - 103*a**2 + 439*a**2 - 39 + 25 + 10.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708949.9 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48487339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (60375\/100)\/69*(-36)\/(-21)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2. Let z(g) = 30*g**2. Calculate z(u(n)).\nAnswer: 270*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*r - 230 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + u + 2*u - 5*u)*(-6 - 1 - 1)*(0*u - 9*u**2 + 30*u**2 + 2*u).\nAnswer: 336*u**3 - 3832*u**2 - 368*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 + 3*k - 12. Let q(r) = -5*r + 11. Let l be q(3). What is the tens digit of v(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 11:31 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 3)*(-4 - 1 + 3) + 1 - 2 + 2)*(-16*n**2 - 4*n**2 + 4*n**2) + 3 - 3 + 2*n**2 + (-6*n + 2*n + 3*n)*(-3*n + 0*n + n) + 0 - n**2 + 0.\nAnswer: 51*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -2, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*l + 48*l + 0*l**4 + 2*l**4 wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.652568l to millilitres.\nAnswer: 652.568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d8 (base 14) in base 15?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a + 20 = 0. Suppose -z + a*z = -28. Let h(v) = 7756*v**2 + 6*v - 2. Let n be h(z). What is n rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 748 and 36447388?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176.97 + 178. What is j rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*n\/(n**(-4)*n))\/n)\/n)\/(n\/n**1))\/(n*n**(-1)*n**1\/n)*((n\/n**(-3))**27)**(-41) assuming n is positive.\nAnswer: n**(-4424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 g when four letters picked without replacement from {h: 8, g: 4, c: 5}?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174.13064 + -174.3. What is m rounded to 3 dps?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (159\/159)\/(2\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 131756*n. Let d(o) = 2*o**2. Determine x(d(y)).\nAnswer: 263512*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (75\/(-117))\/((-45)\/27).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 14*l + 29. Let d be c(12). Suppose 128 = 5*s + d*o - 2*o, -o + 1 = 0. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29680 - 5?\nAnswer: 2967a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6672636, 6672635, 6672634, 6672633, 6672632, 6672631?\nAnswer: 6672630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 + -54. Let c = -68.77 + j. Round c to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-13)*z**6)\/(z**(-1\/3))**(8\/15))**26)**(-14) assuming z is positive.\nAnswer: z**(111748\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**3 - t**2 - t - 1. Suppose 3*x - 1 = 4*x. Let d be u(x). Suppose -189*h = -34 + 34. Solve h = -d*p + 4*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5 + 93*a**3 + 318*a**2 + 396*a + 168 = 0 for a.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (41 - 29)*1*1\/4. Solve u*a - 2*a - 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, 34, 2092, -3 in descending order.\nAnswer: 2092, 34, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 3*z**2 + z - 3. Let m(d) = d + 7. Let v be m(-10). Let l be a(v). Let b be (5\/(-2))\/((-38)\/(-76)). Put -1, b, l in increasing order.\nAnswer: b, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1276 and 11426?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3) + -14 + -2 + 4. Let h(j) = j**2 + 12*j - 22. Let o be h(m). Sort 4, o, 2.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2889140 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)\/p)**(-2\/153)\/(p**(-7\/5)\/((p*p**4)\/p)))\/((p**(2\/5))**(-19)\/(p\/(p\/(p\/((p\/(p**0\/p))\/p))))**(-1\/53)) assuming p is positive.\nAnswer: p**(664\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1*sqrt(1216) + sqrt(1216))**2 + sqrt(1216))*3 + sqrt(1216) + (3*sqrt(171) - (sqrt(95)\/sqrt(5) + 1))**2.\nAnswer: 16*sqrt(19) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 2*x + 5. Let b be y(4). Let m(q) = -q**2 - 3*q - 3. Let l be m(b). Let n = l - -7. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, c: 4, x: 4, d: 5, p: 1}. Give prob of sequence dxpx.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81.31 - -0.31. Let l = p - -87.6. Let k = l + -7. Which is the closest to -1? (a) -0.5 (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29, -27, -27, -29, -33, -39?\n\"Answer: -m**2 + 5*m - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 935 and 1084515.\nAnswer: 11929665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3025643047 to the power of 1\/2, to the nearest integer?\nAnswer: 55006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 26*f**4 + 84*f**2 - 1568*f. Let d(p) = 5*p**4 + 17*p**2 - 314*p. Let h(v) = -11*d(v) + 2*l(v). Find the second derivative of h(g) wrt g.\nAnswer: -36*g**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (261\/(-24))\/(93\/(-60) - -2) and -71\/46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4920480, -9840959, -14761438, -19681917, -24602396, -29522875?\n\"Answer: -4920479*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 10:47 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 7 + 6 - (-6 + 13) - 16.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -121.42 times -1.3\nAnswer: 157.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m + 1. Suppose -3*p = 2*g + p - 2, 5*p + 4 = 4*g. Let v be c(g). Solve 4*l + v = -1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5362 (base 9) to base 16.\nAnswer: f68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37453 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -27*r**4 + 3057*r**3\/2 - 12501*r**2\/2 - 8577*r\/2 + 7035\/2 = 0.\nAnswer: -1, 1\/2, 5, 469\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81122 divided by -863.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6538 - -6531. Put 0.3, a, 7, -1, 4 in increasing order.\nAnswer: a, -1, 0.3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + 3. Let r = -40.808 + s. Let d = r - 0.1747. Round d to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1623 = 3*v + 1251. What is the remainder when v is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 + 6. Let j(l) = 1. Let q be 2 - ((-2 - (0 + 1)) + 6). What is q*s(o) + 6*j(o)?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -24. Let r = 20 - p. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.3. Let s = -2.33 - 123.67. Let w = s + 127.5. Which is greater: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2580 = 650. Let w = -221 - o. Suppose 4*u - 9*u = -w. Calculate the highest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 20 = -5*t - 2*h, -t - 3*h + 18 = 0. Let v(j) be the third derivative of -j**6\/120 + j**5\/12 + j**4\/24 - 2*j**3\/3 - 26*j**2 - 14. Give v(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 4*j - 36 = 0. Let a = -5 + j. Suppose -2*b + 7 = -a*g - 25, -53 = -5*b + g. Solve -b = -0*s - 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.17001 nanoseconds in hours?\nAnswer: 0.000000000052547225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {c: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 14 - (-5 - (-3 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 35*y + 37. Give i(-5).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 - 52*y**4 + 152*y**3 - 56*y**2 - 156*y + 108 = 0 for y.\nAnswer: -1, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -559.61, 2\/7, -23.2.\nAnswer: -559.61, -23.2, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 6.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3 - 417*m**2 - 6291*m + 1551825 = 0.\nAnswer: -57, 75, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*28 + (-1 - 3). What is the highest common factor of 264 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 15) to base 2.\nAnswer: -111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -76\/9 - 2\/9*f**2 + 26\/3*f = 0?\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-12))\/((-279)\/837). Let m = 0.7 - 0.2. Which is the third smallest value? (a) 2 (b) 8\/5 (c) m (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 17 = 4*s, 0 = w + 2*w + 2*s - 1. Let d = w + 5. What are the prime factors of 10 + d - (-2)\/(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 7 in ascending order.\nAnswer: -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1110, -1105, -1096, -1083?\n\"Answer: 2*l**2 - l - 1111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01629867 rounded to four decimal places?\nAnswer: -0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-211)\/(-4))\/(40950\/(-56 - -17)) and -83\/250.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -360890*i - 344537 wrt i?\nAnswer: -360890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -1\/5 (c) -1\/4 (d) 0.3 (e) -1.303\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 4) + 39 + -18.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaae when four letters picked without replacement from eeaammeeeeaeemaaa?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 8*d**2 + 10*d + 2. List the prime factors of m(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7))**(3\/5)\/(m**6*m**(-3\/4)) assuming m is positive.\nAnswer: m**(-711\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20352 and 4992.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/23)*s)**(2\/33)\/(s**(2\/7))**(1\/9))**(-4\/21) assuming s is positive.\nAnswer: s**(-488\/30429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4\/((q**(6\/7)\/q)\/q)*q**4\/q**(-1\/8) assuming q is positive.\nAnswer: q**(519\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -5 (b) -18 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 17*r - 1. Let p(c) = 7*c**2 + 2*c - 13. Let w be p(0). Let x be q(w). Which is smaller: 1\/3 or x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - z**2 - 2*z - 2. What is o(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/t**(4\/7)))\/(((t**(4\/7)*t)\/t)\/t))\/(t**32\/t**33) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Suppose -d*s + 20 = 2*s. Solve s*a - 2*b + 3 = -5, 2*a - 4*b = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 + 2 = -3*u. Find the third derivative of 29*d**5 - 3417*d + 3417*d - u*d**2 wrt d.\nAnswer: 1740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.14, 3.513, 2.2?\nAnswer: 3.513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(-3)\/(-3)*1*83\/(-83).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398 is divided by 67?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 1005*o + 2010. Give l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 323714401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21, 54, 107, 180, 273, 386?\n\"Answer: 10*q**2 + 3*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607388069 is divided by 745?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwkskzwwzkszzwsszzzz. Give prob of sequence zsww.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 4 + 3)*(25*k - 9*k - 16*k - 44*k)*(-2*k - 31*k + 64*k) in the form t*k + u + x*k**2 and give x.\nAnswer: -8184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 3 - 7 + 7*i - i. Let l(q) = q**3 - 5*q + 3. Let v(h) = 6*l(h) + 5*m(h). What is the first derivative of v(p) wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 + -114. Let c(u) = -6 + 1272*u - 420*u - 426*u - 417*u - u**z. Give c(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -622 - -5617\/9. What is the common denominator of 20 - (27387\/2567 + 9) and c?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -8. Suppose 4 = 3*b - a. Let j(r) = -r**2 - 5*r - 2. Let h be j(-3). Which is bigger: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237855609 by 3.\nAnswer: -79285203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74754, -74747, -74742, -74739?\n\"Answer: -f**2 + 10*f - 74763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011110011 (base 2) to base 10.\nAnswer: -3315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u. Let x(r) = 35*r**2 + 21*r**2 - 4*r**2. Give x(w(c)).\nAnswer: 208*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1881722 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010 (base 2) to base 16.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(26)\/(1*sqrt(2)) - sqrt(13)))**2 + -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*k + 22, 0 = -3*v - 2*v - k - 35. What are the prime factors of 1*(-15)\/v*4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11662 is divided by 140.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 57. Solve 0 = -5*q + d + g + 2, 0 = 5*d - 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 4.9, -0.1, 0.1 in decreasing order.\nAnswer: 4.9, 3\/4, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**5\/60 + i**4\/24 + i**2\/2 - i. Let h(g) be the first derivative of l(g). Determine x so that h(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -469, -933, -1407, -1897, -2409, -2949?\n\"Answer: -t**3 + t**2 - 460*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 4*h**2 - 3*h. Let l be a(-2). Suppose -l*j = -17541 + 3831. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8*51\/(-6))\/(-2). Suppose 2*f = 26 + y. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 146427141.6 to the nearest one million.\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**8\/112 - s**7\/10 + 13*s**6\/40 + 3*s**5\/20 - 9*s**4\/4 - 115*s**2 - 1. Suppose f(n) = 0. What is n?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*n**2 - 52*n**2 + 32*n**3 + 21*n**2 + 3*n + 15*n**2 in the form r*n**2 + d*n + g*n**3 + x and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.1042?\nAnswer: -0.0521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2192 - -2191.9069. Let x = y + 9.0931. What is the biggest value in 0.5, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45624179?\nAnswer: 45624179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -7\/5, -2\/13, 2, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1830 and 101016?\nAnswer: 505080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + p**2 - 1)*(-2*p - 1 + 1) - 377*p - p**3 + 188*p + 184*p - 4.\nAnswer: -3*p**3 - 5*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 take away 82?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*u + 14672 - 57080 = 0. Let n(d) = -10*d**3 + d**2 - 2*d. Let k be n(2). Find the common denominator of 5\/44 and ((-106)\/6)\/(19\/(u\/k)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/2964546 and 57\/2665.\nAnswer: 14822730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -a1c2b (base 16) to base 6\nAnswer: -22111243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2194850 and 11149838?\nAnswer: 278745950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3766088 to the nearest integer?\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/42)\/(2\/(-28)). Suppose w = 5*h - 19, -o*w + 2*h = h + 19. What is the remainder when 35 is divided by (-238)\/(-28) + (-2)\/w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001656 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*y + 86 = 0, -2*m - y + 4*y + 39 = 0. Solve 0 = -2*w + 4*r - 39 + 11, w + 5*r - m = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 13 + -5 - -2\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -17\/14, 57, -0.1.\nAnswer: -17\/14, -0.7, -0.1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 592 or 594?\nAnswer: 592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1034 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1214 + -1?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22911748*0.06\nAnswer: 1374704.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 + 0.8. What is the closest to -1\/4 in 4, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**5 - 6834132*b**3 - 11569528*b**2?\nAnswer: 60*b**2 - 41004792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 678 + -340. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53178 = -463*s - 81421 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/2 - 71*q**3 + 727*q**2\/2 - 586*q + 294 = 0.\nAnswer: -147, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3922166 grams to kilograms.\nAnswer: 0.0003922166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-8)\/60 + (-4)\/60?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(25 - 1 + 16*v**2 - 10*v**2).\nAnswer: -6*v**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 703516*y + 16181395. Give c(-23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4674*r + 2077. Let j(b) = b + 28. Let n(d) = g(d) + 6*j(d). Find the first derivative of n(s) wrt s.\nAnswer: 4680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.85 and -0.168914924.\nAnswer: 6.681085076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.041 - -46.959. Let b = m - 36. What is the nearest to b in 0, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = -4*j, -j = 4*b - 70. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000339494 rounded to seven dps?\nAnswer: -0.0000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -327 + 328. Is -2\/101 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 7*a + 7. Let p(c) = 4*c + 30. Let m be p(-6). Calculate u(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/10)\/((-184)\/690)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rak when three letters picked without replacement from {a: 4, r: 2, z: 2, e: 3, k: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1337*l**2 + 2*l - l - 57 - 3*l.\nAnswer: 1337*l**2 - 2*l - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r + 6*r - 5*r + (-119*r + 77*r - 248*r)*(-5 + 3 + 3).\nAnswer: -285*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 14418.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2274953.87 and 360.\nAnswer: -2274593.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z = 3*a - 2031, -2*a + 1346 = 2*z. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28.04*-13\nAnswer: 364.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.167 - -0.333. What is the nearest to -0.1 in -3\/11, f, -1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -469, -484, -509, -550, -613, -704?\n\"Answer: -q**3 + q**2 - 11*q - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2880*p**5 + 3271*p**5 - 1860*p**5)*(-4 + 0 + 12).\nAnswer: -11752*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1320 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 43889*i + 87601. Calculate b(-2).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 65. Suppose 0 = 2*j + q*o + 121 + 191, 0 = -2*o - 4. Let m = j + 307. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 425618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g, -4*g - 4 = -4*n - 0*g + 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 - 138 - 86 = 29*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18337 is divided by 2868?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -7. Suppose 0 = q - 2*s - 5, -2*q = -2*s + 5*s - 38. Suppose -4*z + q*z = 90. Calculate the least common multiple of z and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211161.0185 rounded to the nearest 1000?\nAnswer: -211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9118640 - -15378640. What is q rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5411771.\nAnswer: 5411771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**7\/21 - 7*a**3\/6 - 7*a. What is the second derivative of z(q) wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -17, -4, -53, 8 in increasing order.\nAnswer: -53, -17, -4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -122013 (base 4) in base 12?\nAnswer: -b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = r - k - 4, 2*r = -3*k + 5. Let i = 1\/7 + 44\/35. Is i less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-2 + 0 + 2) - (189 + -80 + -119)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**3\/3 - 2*l**2 + 2*l - 1. Let c(z) be the first derivative of 3\/2*z**2 + 1\/3*z**3 + 20 - 2*z. Calculate 5*c(q) + 4*t(q).\nAnswer: q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 11*f + 30. Calculate w(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1637, 1443, 1111, 635, 9, -773, -1717, -2829?\nAnswer: -4115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -2244.\nAnswer: -1\/1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/6 + 5*m**3\/3 + 2*m**2 - 3*m. Let r be b(-7). Let o = -20 + r. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 31*p - 27*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:46 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykhohhooghggho. What is prob of picking 2 o and 1 y?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from uwsmgwiwsmwsssu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -215896.042 + 215896. Let s = -12 + 7. Which is the smallest value? (a) q (b) -1\/6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/44 - (-4)\/(-33)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 4:53 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from yyyyffffyfffff.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**22*(x\/x**10*x)\/x assuming x is positive.\nAnswer: x**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - t**2 + 8*t - 15. Give p(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 13851454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5 + 3743*l**4 - 3196283*l**3 - 573262559*l**2 - 23154947400*l + 23731402500 = 0. What is l?\nAnswer: -79, 1, 1950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*l**3 + 33\/4*l**2 - 10*l + 1\/4*l**4 + 4.\nAnswer: (l - 4)**2*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n = -58 - 102 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122357 is divided by 422.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -1\/107 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*o + 4. Let k be -50 + -1 - (-7 - o). Let u = k - -53. Is -1\/8 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)\/(5\/10). Let k(t) = -20*t - 2. What is the tens digit of k(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -149851 or -149850?\nAnswer: -149850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - n + 9. Let q(p) be the second derivative of p**5\/4 - p**3\/2 + 19*p**2\/2 + 16*p + 1. Let j(k) = 7*b(k) - 3*q(k). Determine j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(2736) - (-4*(sqrt(171) + -5))**2.\nAnswer: -3138 + 468*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25691472?\nAnswer: 2, 3, 59471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 = -1. Suppose 4*j - 217 + m = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Suppose i = -6*s + 2*s. Is s greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 - (15 + -7)) + 1 + -8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(96\/40 - 3). Solve h*t = 9*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710717248 a multiple of 1498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3813)\/(-1476))\/(4\/(-48)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 15833*c + 142195. Calculate k(-9).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 2:39 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -84, 73, 458, 1185, 2368?\n\"Answer: 19*a**3 + 24*a - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -855269372 - 4?\nAnswer: -855269376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -898 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3375 + -0.05?\nAnswer: -3375.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 159a + 4?\nAnswer: 15a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -68 (b) 1 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*r**2 - 80*r**2 + 444*r**2 + 646*r**2.\nAnswer: 771*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020876 to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.13 (b) 5 (c) -2\/5 (d) 1\/9 (e) 62.921 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) + sqrt(105) + (3*sqrt(105) - sqrt(105)))\/sqrt(3))\/sqrt(7).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -132 + 185. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x = 28*x + 60 - 60. Solve x = 85*k + 159 + 606 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -f - 2. Let y(o) = -o + 13. Let h be y(9). Let i(n) = -6*n + 1 - 2*n**2 + n**3 + h*n**2 + 0*n**f - 6*n**2. What is i(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u*u**(3\/4)))**(-30) assuming u is positive.\nAnswer: u**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -17*y. Suppose 5*c - 15 = -2*h, y*c + 2*c = -3*h - 5. What is the biggest value in h, -1, 1\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501801989 to the power of 1\/2, to the nearest integer?\nAnswer: 22401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2836 = -7*q + 14435. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10010492827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 + 4*h**2 - h + 5. Let n(m) = -5*m**3 - 5*m**2 + m - 6. Let i(l) = -5*n(l) - 6*z(l). What is i(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 9, -17 in decreasing order.\nAnswer: 9, 7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 14*l = 3*l - 30835, -3*l = q - 15375. List the prime factors of q.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2104*s**3 - 410*s**3 + 963*s**3.\nAnswer: 2657*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(405)*3)\/(-4*sqrt(81)))\/(sqrt(225)*4 - (sqrt(576) + sqrt(576)*3)).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2086 or 2088?\nAnswer: 2086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1856471?\nAnswer: 19, 199, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*b + 2*i, -5*i + 0*i - 23 = -b. Let z be 0 - (-5 - (0 + b)). Suppose -36 + 0 = -z*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d - 2*i, 5*d - 5*i = d - 25. Factor 0*q + 0*q**2 + d + 0*q**3 - 1\/3*q**4.\nAnswer: -q**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 21 - 1 = 0. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2795*q**2 - 651*q + 4. Let c(a) = -8388*a**2 + 1952*a - 14. Let y(k) = 2*c(k) + 7*g(k). Find the second derivative of y(j) wrt j.\nAnswer: 5578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9358080 to the nearest integer?\nAnswer: 3059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 26 + -4838 + 4768?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 3*v = 15*d - 4235, 0 = -5*d - v + 5308. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/24)\/(2\/(-1311)). Let d be (-9 + u)*(15001 + 3\/(-3)). What is d rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-4))\/(26\/(52\/30))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87089, -87085, -87079, -87071, -87061, -87049?\nAnswer: -87035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/6 - 5 - 66\/(-12). Suppose i*s - 804 = -684. What is the highest common divisor of 160 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13561, -5, 2\/11, -6.146 in ascending order.\nAnswer: -13561, -6.146, -5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2211, -16782, -56217, -132948, -259407?\nAnswer: -448026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 6*o**2 - 3*o - 2. Let p(w) = 32*w - 118. What is the least common multiple of p(4) and t(-6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8290000 to the nearest one hundred thousand.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((-16)\/12) - -4. Suppose -d = h - 23. Solve -5*f = -f - h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 - 19.16. Let c = 28930.1 + -28930. What is the closest to 1\/2 in t, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1879, -3644, -5409, -7174, -8939?\nAnswer: -10704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129500 = 17*z - 3*z. Does 73 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/2 and 65\/172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76546 is divided by 76465?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 113.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 234345660 to the nearest one million.\nAnswer: 234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 8, 15, 22, 29?\n\"Answer: 7*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.3 (b) -0.2 (c) -1\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -45131.3 and 46.\nAnswer: -45085.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 291 + -1165\/4. What is the nearest to -1.3 in -4, w, 0.5, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 - y - 4. Let p be w(-3). Let t = p - -13. Let j = 24 + t. Solve j*r - 1 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 10 = u, 48*a - 46*a - 3*u = -28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 44?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56073018, -56073015, -56073012, -56073009, -56073006?\n\"Answer: 3*n - 56073021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f + 3. Let r be i(-4). Solve -5*l + 8 = r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 times 0.7108\nAnswer: 0.10662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(17)*-1 + sqrt(17)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78828, -78899, -78970, -79041?\n\"Answer: -71*d - 78757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 925559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15654, 125161, 422404, 1001253, 1955578?\n\"Answer: 15645*s**3 - 2*s**2 - 2*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.52 and -36.\nAnswer: -38.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 9:09 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from {l: 3, i: 1, r: 1, j: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(1170\/(-84))*(-10)\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 4:58 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 15. Let q = -20 + 32. Solve i - t*i + 10 = w, -4*i + q = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40776.5 rounded to the nearest 1000?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/21)\/((-29080)\/(-432565)).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + ((sqrt(60) - (sqrt(960) + sqrt(60)))\/sqrt(2))\/(sqrt(10) - (-2*sqrt(90))\/sqrt(9))).\nAnswer: -4*sqrt(3)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6282 by -5.\nAnswer: 6282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -27, -10, 25, 84, 173, 298, 465?\n\"Answer: v**3 - 2*v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 2*a**2 + 0*a**2 + a + (-a**2 - 2*a**2 + 0*a**2)*(5 - 3 - 1) + (20*a - 12*a + 9*a)*(1 - 1 + a) in the form d*a + p + u*a**2 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468944 and 20431712.\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v - 10. Suppose 5*o - 80 = -5*d - 30, d = 3*o - 22. Let w = v + o. What is the greatest common divisor of w and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 2*b**3 + 2*b**3)*(4*b**2 - b**2 - 2*b**2)*(165 + 316 + 71).\nAnswer: -552*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-1 - -18) - -13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-744)\/(-40) + -13 - 4\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33*(-2)\/(-4) + (-6)\/4. Let v be ((0 - 0)\/(-1))\/(g\/(-5)). Is -0.8 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/5 - 738*q**2\/5 - 4864*q - 38400 = 0. Calculate q.\nAnswer: -16, -15, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164102326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 2:34 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 71*c + 3361. Let x be y(-47). What is the highest common divisor of 736 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - 3*k)*(-208 + 357 - 697 - 263)*(3*k**2 + 2 + 1 - 5*k**2).\nAnswer: -4866*k**3 + 7299*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 525375, 525347, 525321, 525297?\n\"Answer: q**2 - 31*q + 525405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4773 + 4785. Solve 11*a + 6 = i*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202, -188, -166, -142, -122?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20*b + 15*b - 5 = 0, -4*b + 8 = 2*n. Let g be 19\/(-114)*(2 + n). Let f be -2 + 6\/9 + 2. What is the closest to g in -4, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 7*h - 13. Calculate w(9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -2\/7, 3\/31, 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*p**2 + 153*p**2 + 30*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -176*b - 1227. Let d be l(-7). Sort 0, 333, d, 1.\nAnswer: 0, 1, d, 333","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**5 + 34175*x**4\/2 + 4300*x**3 - 94025*x**2\/2 + 25635*x = 0. What is x?\nAnswer: -2, 0, 3\/4, 1, 1709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**2 - 40*s + 40*s as p*s**2 + f*s + z and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -35*i**2 + 3*i - 6. Let x be (-4)\/5*(-10)\/4. Suppose -2*j + 5*s + 19 = 0, 0 = -5*j - x*s + 22 + 11. Let t be w(j). Round t to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -451682\/15 or -24\/11?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -7. Let l(v) = v**2 + 2*v + 10. Suppose -5 = -3*k - 5*y, y + 41 = 5*k + 14. Let g(w) = w**2 + w + 9. Let q(n) = k*l(n) + t*g(n). Factor q(s).\nAnswer: -(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 302.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218225898 to the nearest integer?\nAnswer: 14772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 22 = 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 43?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20944 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1104735 and 19740.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3457107?\nAnswer: 3, 19, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 475198 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: Collect the terms in -3792 - 16*x + 3792.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106691, 106236, 105781?\nAnswer: 105326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38*(-3 - 0 - -4). Suppose 0 = 4*l - 3*i + 122, 2*l - i = -24 - r. Let f = 56 + l. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 - 1008*p**3 + 1302*p**2 + 96912*p - 389235 = 0. What is p?\nAnswer: -337, -11, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -25, 139, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (-1 + sqrt(99)) - sqrt(99) - -4*sqrt(176))*-5)**2 + 3.\nAnswer: 650*sqrt(11) + 46503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x. Let f(i) = -i**2 - i - 1. Let s be f(-1). Let w be b(s). Suppose 4*o = w, -2*o - o = 5*m - 265. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -215 and -334 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 2025*m**2 + 8112*m - 8116.\nAnswer: -(m - 2)**2*(m + 2029)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -25, -4 in increasing order.\nAnswer: -25, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 130 - 2*t + 0*t + 2*t.\nAnswer: -3*t - 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7332 and 4563?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 4*m - 10. Let r(f) = 2*f**2 + 3*f - 9. What is 2*q(p) - 3*r(p)?\nAnswer: -2*p**2 - p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.97 (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (32 - 24) - 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*f*j**2 + 17751*f*j + 58630*j**2 wrt f.\nAnswer: -3*j**2 + 17751*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 6) to base 9.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2678.303 centuries in months?\nAnswer: 3213963.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 2*v - 16\/3.\nAnswer: (v - 2)*(v + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*w - 20*w + 29*w in the form k + p*w and give p.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2861391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -57. Suppose a - d = -3*a. Suppose -44 + 12 = -a*q - 3*z, -2*z - 8 = 0. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1067, -3, -5, 102 in ascending order.\nAnswer: -1067, -5, -3, 3, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f + 13. Let l be t(18). Let y = -27 + l. Let j = 79 - y. Solve -r - j = 5*h, 2*r = 4*h + 21 - 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 227 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 22*x - 3*x)*(11*x**2 + 3*x**3 - 11*x**2) as l*x + b*x**3 + n + a*x**4 + s*x**2 and give a.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2977 + 2988 - 5*d + 2935 - 8806 to the form c + y*d and give c.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + b - 3. Let g be m(0). Let r(y) = -y**3 - 4*y**2 - 3*y + 2. Let q be r(g). Suppose 0 = -q*h - 2*h. Solve h = -3*a - 2*a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from fnnfnn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j + 3. Suppose j*c = 3*c + 66. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18307130009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 3.4, -1\/4, 0, 2\/5, 0.048?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(2 + sqrt(99) + sqrt(99) + 0) + 5*(sqrt(99) + (-3 + sqrt(99) + sqrt(99))*6))**2.\nAnswer: -35112*sqrt(11) + 592747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9800 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -828 + -9. Calculate the remainder when (o\/6)\/((-15)\/20) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a + 0 - 1\/30*a**5 - 19*a**2 + 0*a**3 - 1\/120*a**6 - 1\/6*a**4. What is o(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*c - 29, 5*c = -0*a + a + 15. Let n(p) = -3*p + c - 35*p - 3. Is n(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 10*l**2 - 13*l - 4. Let i be k(9). Let j = 78 + i. Let d = -15 + j. Calculate the remainder when 85 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11953656 divided by -129?\nAnswer: -92664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/10 and -75\/100292?\nAnswer: 501460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - -1*(sqrt(104) - (1*sqrt(104) - sqrt(104)) - sqrt(104))))\/(-1*sqrt(72)))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 5*n + 43, -23917*u = -5*n - 23912*u - 55 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7654, 15533, 23412, 31291, 39170?\n\"Answer: 7879*d - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-36))\/(294\/1764).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8311928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -134*k**2 - 29*k - 99. Calculate p(1).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 30*k + 42. Let d(q) = -27*q - 37. Let z(n) = -7*c(n) - 8*d(n). Let b(j) = -19*j**2. Calculate b(z(x)).\nAnswer: -684*x**2 - 456*x - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 31b?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1079*t - 13*t - 249*t.\nAnswer: 817*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1141874 divided by 1.\nAnswer: 1141874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 16) + 0 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 88*v - 2*v**2 + 10*v - 188*v.\nAnswer: 2*v**2 - 90*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11623923 + 4*z**3 - 11623923.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5998 - -6003. Which is the nearest to 0.3? (a) -0.2 (b) g (c) -5 (d) 7.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1611103, -3222195, -4833287, -6444379, -8055471, -9666563?\n\"Answer: -1611092*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 5. Let q be (-1 + -1 - -2)*f. Find the second derivative of -a**3 - a**3 + q*a**3 - a wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 10*r - 10. Let s be a(-10). Let m be (7\/42)\/(s\/(-16)). Is m at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7811803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 209\/14, 0.4, 3, 4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*c + 30 = 0, -2*g + 2*c - 5 = -1. Let p = g + 4. Find the common denominator of (p + 14\/3)\/(3\/2) and -73\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41823881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-4)\/20*(0 - -5). Suppose 0 = -f - 2*f + r*z + 783, 0 = -4*f + z + 1050. List the prime factors of f.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25390650 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dewii. Give prob of picking 1 e and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 800\/(-768) - 2\/(-2)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -40*49\nAnswer: -1960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130114 + 12*d**3 + 130114.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91488*q**2 - 19772*q?\nAnswer: 182976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36558259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.466 - -0.466. Let y = 0.2 - 0.3. What is the smallest value in z, 1\/3, y, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/260001 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258277651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-282)\/(-12) + -10?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g**2 - 356*g + 1721. Calculate m(5).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 34. Suppose -6*f - 14 = 2*w - 3*f, -40 = n*w - 5*f. Round w to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -2.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + 0*f**3 + f**3 + (0*f - 3*f + 5*f)*(-4*f**2 + 6*f**2 - 3*f**2).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000814519585 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - (sqrt(99) + -2*sqrt(99))*2))\/((2*sqrt(81))\/sqrt(9) - sqrt(9)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 j when four letters picked without replacement from {q: 5, j: 5, s: 4}.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 times 0.0263353?\nAnswer: 6.0044484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(-31\/2)*((s*s\/(s**(-10)*s))\/s*s)\/s**(5\/2))**(15\/8) assuming s is positive.\nAnswer: s**(45\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -0.4 (b) -1\/4 (c) -7 (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135583199051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3 + 7)*(0 + 1 + 0)*(3*k**2 - k**2 + 2*k**2 - 2*k**3).\nAnswer: -28*k**3 + 56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/61448548 and 61\/50568.\nAnswer: 368691288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -5. Let h be -3 + 9 + t - (-1 - 4797). Is h\/(12\/4) + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151157389.\nAnswer: 151157389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 11*p - 11. Let d be -17 - ((-17)\/51)\/((-2)\/30). Let b(g) = -3*g + 3. Calculate d*b(w) - 6*f(w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 239865684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*l - 30 = -76*l - 2*x, 4*x + 92 + 144 = -27*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5181 + 31163\/6. Find the common denominator of j and 11\/2412.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 2. Let j be (25\/10)\/((-1)\/2). Let s be g(j). Let o = -5 + s. Solve 0 = -5*t + 2*x - 5 + 4, x + o = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -20 (b) -0.4 (c) 34 (d) 3\/5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -797 times -5\nAnswer: 3985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.8 - -18. Which is the third smallest value? (a) -3 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, q: 2}. Give prob of sequence mqq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - -66 - (-2 + 4 + 31).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 2. Suppose -4*k + 0 = -4. Let h be x(k). Let p be (11\/44)\/(1\/h). Which is the nearest to p? (a) 5 (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/14)\/((-2496)\/26208)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*f = 161*f - 32745. Suppose -9*y + 22083 = f. What are the prime factors of y?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22.86 and -1.\nAnswer: 21.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4896 = 3748*s - 3442*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -4*u + 377, -237*s + 241*s + 63 = 2*u - 133 for u.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5\/4)*m**(25\/4) assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 106. Let w = k - -37. Find the third derivative of 0*b**w + 4*b**6 - 6*b**6 + 13*b**2 wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39230, 78444, 117658, 156872?\nAnswer: 196086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 9.916 (b) 2 (c) -1 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 19*b**2 + b - 33. Determine k(19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -5, -1\/3, 0.109, 301, -2, 1\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*h + 3 = 21, 5 = -h. Suppose 2*x + k*i - 13 = 0, 30 = -4*x - x + 5*i. Is 2\/9 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247671 divided by 27519?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/18*((-6962)\/(-413))\/(-59).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 0*g**4 + 0*g**3 + 1\/70*g**7 + 0 - 1\/20*g**6 + 1\/20*g**5 + 10*g**2 + 0*g. Determine l so that j(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/8*p**2 + 3\/8*p - 3\/4 = 0 for p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 2*c = 23*v - 20, -2*c + 18 = 2*v - 5*c for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0*n**2 + 1 - n**2)*(-2*n**2 + 4*n**2 - n**2 - 3*n**2 - 4*n**2 + 6*n**2 + (1 - 1 - n)*(-n + 5*n - 3*n) + 3*n**2 - 4*n**2 - n**2).\nAnswer: 9*n**4 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 300425?\nAnswer: -300420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44504194 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19881941.\nAnswer: 19881941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1505830911*z + 1505830911*z - 24*z**3.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let h(w) = -21*w**2 - 8*w + 4. Let l(o) = -85*o**2 - 30*o + 15. Let i(f) = 15*h(f) - 4*l(f). Determine i(y(d)).\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 17*y**2 + 3*y. Calculate the remainder when u(-2) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 = 13. Let m = -19 + 29. Calculate the smallest common multiple of m and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**2 + 2. Let h(v) = 4*v**2 + v - 3. Let p(r) = -5*d(r) - 6*h(r). Let f be p(4). Solve -c - c = f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3226\/41 or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-45))\/(1122\/(-935))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(1 + 2 - 5)*(3626*l**4 - 86*l**2 - 3617*l**4 + 10*l**2) to x + r*l + i*l**3 + h*l**4 + z*l**2 and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r + 7. Let g be a(-7). Let p be 7\/((-15)\/10 - -2). Let w(d) = d - 7. Let u be w(p). What is the greatest common factor of u and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.9578 - -0.33691591.\nAnswer: -41.62088409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21113521 (base 6) to base 9\nAnswer: 1138534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 124, -5 in increasing order.\nAnswer: -5, 0, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240709371 divided by -6?\nAnswer: -1240709371\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/2 - 3*j**5\/10 - 2627*j**3\/6 - 1746*j**2. Find the first derivative of x(i) wrt i.\nAnswer: 180*i**2 - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4 - 0. Let q be 17 + (p - 0)*-1. Suppose -q = -3*y - r, -2*y = -4*y + 4*r + 6. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m**3 + 2*m**2 + 2*m - 1. Let b = 13 - -12. Let l = b + -27. Let c be t(l). Round c to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -85\/18703?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 20. Suppose 4*l + 20 = s, 3*y + 0*y = 4*l - 109. Let b = y - -69. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0*f**4 + 0 + 2*f + 0*f**2 + 0*f**5 - 11\/30*f**6 - 11\/6*f**3. Find the second derivative of m(i) wrt i.\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1111*j + 1110*j - 3340*j + 1104*j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 34, 9, 2 in decreasing order.\nAnswer: 34, 9, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -28*n**3 + 3*n + 260. Let a(x) = -29*x**3 + 4*x + 261. Let l(k) = -3*a(k) + 4*j(k). What is the derivative of l(m) wrt m?\nAnswer: -75*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*(992\/(-31))\/(-32)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4749778 - -4749755.10123. Let b = -22.9 - c. Round b to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*(-18)\/(-12))\/((-3)\/7742) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.187 and 1085494.\nAnswer: 1085494.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqbqbqqqbqbqq?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1426, -5723, -12888, -22921, -35822, -51591?\nAnswer: -70228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 26*h**2 + 26*h - 14. Let m be a(-12). Round m to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318038209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1731 and 624173789.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 11*c. Suppose x = 7*x - 12. Suppose 2*j = 4*w - 36, 0 = -4*j + 8*j - x*w + 48. Give z(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -9. Let h be (2\/(-3))\/(j\/90). Suppose 3*b = -g, -2 = -3*g + g - h*b. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 918?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*a - 2*a - 3*a)*(-4 - 1 + 3) + 0*a + 0*a + 2*a)*(19*a - 10*a - 6*a).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1541\/9 - -171. Let a = -27.717 + 28. Let t = a - -0.017. What is the closest to x in t, 0.4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5506675*g - 3 - 5506361*g.\nAnswer: 314*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {w: 2, h: 5, t: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)*n\/((n\/((n**(-23)*n)\/n))\/n)*n)**(-34) assuming n is positive.\nAnswer: n**(2108\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545*t + 222 - 407 + 183.\nAnswer: -545*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 - 2845*m**4 + 70890*m**3 - 161030*m**2 - 546085*m - 311325 = 0.\nAnswer: -593, -1, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -104, -102, -102, -104, -108?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/25)\/(83\/415))\/((-279)\/14415)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*p + 25*p + 159. List the prime factors of p.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v + 3. Let g(x) = 40*x + 16. Let r(z) = 3*g(z) - 16*w(z). Let k(c) = -c. Calculate k(r(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n**5 + 8*n**4 + 77*n**3 - 214*n**2 + 200*n - 64 = 0.\nAnswer: -4, 1, 8\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93550 + 172042. List the prime factors of z.\nAnswer: 2, 3, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 4*q - 7. Calculate k(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 184.\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29\/4625 - 216503\/3089500. Find the common denominator of i and 85\/2.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3008510 and 275.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48812? (a) 0 (b) 1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -1.05. Let m = z + -0.624. What is m rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/1117 or 1?\nAnswer: -24\/1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4 + 330*p**3 - 27553*p**2 + 54120*p - 26896 = 0.\nAnswer: 1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/12 - 29*b**4\/24 + 11*b**3\/6 - 1723*b**2. What is q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 = -560*j - 2057 + 96 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51 and -3.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -69. Let u(n) be the third derivative of 0*n**3 + 0 + 1\/90*n**4 + 1\/450*n**5 + 3*n**q + 0*n. Solve u(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(832) + -3*sqrt(832) + sqrt(832))*5)**2 + -1 + ((sqrt(104) - (sqrt(104)*3 + sqrt(104) - sqrt(104)))\/sqrt(8) - sqrt(13))).\nAnswer: -83196 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*h**2 - 204*h**2 - 51*h**2 + 330*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -4392?\nAnswer: 4391.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-322 - 319 + 641 - 5327*u - 120*u).\nAnswer: 10894*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-1248)\/18)\/(-13) + (-2)\/6 and 173.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7 - 9 - 4 + 19. Let c(f) = f**2. What is -c(d) + x(d)?\nAnswer: -d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 617857492 divided by 22066339\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + q + 261*q**3 + 255*q**3 - 760 - 515*q**3 as t*q + y + f*q**3 + o*q**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q, -5*t - 19 - 2 = q. Let b(l) = -l**2 + 13*l - 6. Let h(d) = d**2 - 15*d + 7. Let n(m) = t*h(m) - 6*b(m). Determine n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-17))\/(((k*k**(-4))\/k)\/k)*(((k\/(k*(k**(-1\/8)\/k)\/k)*k)\/k)\/k)\/(k**(9\/8)\/k*k) assuming k is positive.\nAnswer: k**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 30 = 6*v. Solve -3*m + v - 17 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -217, -2.\nAnswer: -217, -11, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -8994.3.\nAnswer: -8993.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6*1\/(-8) - (-3417)\/68 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 143?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6149 + 6267. Let o be (-1 - 2)*1*-1. Suppose 37 = o*g - 83. Calculate the remainder when r is divided by g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 785 - 761 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 3:18 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/10*(61 + 4) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14201156?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b, 0 = 4*z + b - 6*b - 8. Suppose 38 = z*m - 2*u, -3*u = 2*m - u - 22. Calculate the remainder when 43 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h = 36*h - 18. Find the third derivative of -22*a**h - 19*a**2 + 5*a**2 - 14*a**3 - 16*a**2 wrt a.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 26 = 4*l, 0 = -l + 3*l - 4*i - 16. Suppose -5*z = -l*z. Let y be -3 + 0 - (-5 + z). Solve y*x = -3 + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a - 2. Let y(o) = -2*o - 17. Let w be y(-10). Let c(v) = 5*v - 10. Let f be c(w). Let q(p) = -4*p - 2. Determine f*u(l) - 6*q(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7488 and 35.\nAnswer: 7523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.244 + -105.756. Let f = 110 + w. Which is the nearest to 5? (a) 1\/2 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1163, 1161, 1157, 1151, 1143?\n\"Answer: -z**2 + z + 1163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80366 and 73216?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let f(l) = 6*l - 3. Let r(t) = -11*t + 5. Let a(z) = 5*f(z) + 3*r(z). Determine -a(k) - 6*u(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 + -73. Let r be (s\/(-30))\/(2*12\/9). Sort 1\/8, 4, r.\nAnswer: r, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8830910 divided by 2365.\nAnswer: 3734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.69 + -23.69. Let w be -1*((-8)\/1)\/4. Suppose 0*m = -w*m + 2. What is the nearest to -0.1 in -0.4, m, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 2*g**2 - g. Let t(f) = f**3 - 15*f**2 - 239*f + 5. Let d(n) = -3*h(n) - t(n). What is the second derivative of d(u) wrt u?\nAnswer: -24*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - 4.9. Let x = 0.2 - z. Let l = 3.0003 - x. Round l to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554 at least 332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218.9 + 219. What is the biggest value in 5, f, 2, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7649 and 605266.\nAnswer: 612915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8383067*c**2*m**2 + 2*c*m**2 - 2*c - 979913 wrt c?\nAnswer: -16766134*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/2 or -31?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -993 + 542 - 2*j**3 + 7*j - 6*j to the form r + i*j + f*j**3 + x*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2. Let n(l) be the first derivative of -20*l + 19 - 1\/6*l**4 + 0*l**2 + 0*l**3. Let f(y) be the first derivative of n(y). Calculate f(w(a)).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25305 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 401179266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 16705541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r*r**0)\/r)\/r)**(45\/7)*((r*r**(-1))\/r)**(-39))\/(r**(1\/11)*r\/(r\/(r\/(r*r**(-7)))))**(1\/30) assuming r is positive.\nAnswer: r**(2132\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 6*z - 2\/3*z**3 + 0 + 0*z**2. Let n(s) = 3*s. Suppose 5*x = -4*b + 25, -2*x = -b - 0*b + 3. What is b*h(q) + 7*n(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1355 + 1352. What is the nearest to 0.1 in h, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -482820 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -490.1534609 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -40. Let h be (-1 + -8)*(-4)\/d. Let q be (-1320)\/(-3003) + (-2)\/13. What is the nearest to h in 5, q, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 274772*u - 824329. Give o(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3672*r + 3674*r - 180 = 0, 138 = -4*y - 5*r. Let w(j) = j**3 + 43*j**2 + 39*j - 127. Calculate w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + c + 1. Let b(n) = -11*n**2 - 4*n - 5. Let l = -25 + 20. Let s(m) = l*h(m) - b(m). Let g = 3 - 2. Calculate s(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -1\/12*b**4 + 5\/21*b**7 + 0*b**5 + 0 - 10*b + 0*b**3 + 0*b**2 + 0*b**6. What is the third derivative of c(y) wrt y?\nAnswer: 600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-53 - -111)*(0 - 1)*-2 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 487 - 403. What is the least common multiple of 68 and o?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 1. Let t(b) = 41*b**3 + 90*b + 2. Let j(s) = 2*h(s) - t(s). Find the second derivative of j(q) wrt q.\nAnswer: -246*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 556 + -370. List the prime factors of y.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 + 2*k**2 + 11 - k - 10 + 5*k to the form y*k + z*k**2 + b*k**3 + m*k**4 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -5*f + 53, 267*g - f + 17 = 271*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-230)\/(-25) - (-2)\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909138*w + 454568*w - 43*w**3 + 454570*w.\nAnswer: -43*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 59*k**2 + 4 - 187*k**2.\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81343*h**3 - 122678*h wrt h.\nAnswer: 488058*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**3 + 2*t**3 - 2*t**3)*(-t + 1 - 1) + (0*t**3 - 2*t**3 + 3*t**3)*(6 + 4*t - 6) to the form g*t**3 + y + d*t + u*t**2 + k*t**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in 261, 2\/11, -9.3, 2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-7) + (-1)\/7. Let r(m) be the second derivative of 1\/3*m**4 - 2*m**2 + 3\/10*m**k + 0 - 3*m - m**3. Solve r(x) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1854 and 3811.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -u + 2*b, 812 = 5*u + 5*b - 53. Find the third derivative of 36*h**2 - u*h**4 + 169*h**4 - 2*h**6 wrt h.\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f + 4. Let d(l) = -4*l - 3. Let w(b) = -4*d(b) - 3*v(b). Let t(q) = -658*q + 2. Let x(r) = 2299*r - 7. Let y(p) = -21*t(p) - 6*x(p). Give y(w(j)).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-621)\/(-21) + 22\/(-14) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3) + (-3 - -2). Let s = 0 - -4. Let j(z) = z**2 - 4*z - 1. Let i be j(s). Is i less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, u: 6}. Give prob of sequence iiii.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52286730.28 rounded to the nearest one thousand?\nAnswer: -52287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2427 - -12149\/5. Sort 0.02, z, 4\/9.\nAnswer: 0.02, 4\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108 or 328\/3?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -77 - (32\/2)\/4. Let t = 177 + l. Does 32 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202753 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by (-2405)\/(-78) - ((-2)\/16)\/(24\/32)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 14*b + 220 = 429 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -1\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30464, -59984, -89436, -118814, -148112, -177324, -206444, -235466?\n\"Answer: y**3 + 28*y**2 - 29611*y - 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/(-2880)*24\/9.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/180 and 69\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1014 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 3*m**2 - 10*m - 5. Give o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -8, -2\/33 in ascending order.\nAnswer: -8, -2\/33, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 - 34 = 0. What is the least common multiple of v and 249?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*u - 1 + 215 = 0, -603 = 3*f + 4*u. Let s = -146 - f. Suppose -2*t + w + s = 3*t, t + 5*w = -9. What is the highest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*f + 26, 4*i - 4 - 2 = 2*f. Suppose -f*o = -3*o. What is the closest to -2 in 4, -3\/5, o?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 28*u - 24. Determine z(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 29?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 15*k**2 + 8*k - 39. Let g(m) = 41*m**2 + 22*m - 117. Let u(b) = -4*g(b) + 11*j(b). Let a(q) = q**2. Calculate a(u(h)).\nAnswer: h**4 + 78*h**2 + 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 2. Suppose d + 3*a + 6 + 1 = 0, 0 = -2*d + 2*a + 26. Let g(y) = 0 - d + 4. Let q(b) = -b - 5. Determine n*q(p) + 3*g(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 2. Let u(s) = -20*s - 60. Calculate 32*i(r) + u(r).\nAnswer: 108*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 133*j**3 + 4*j**2 + j + 16. Let l be v(4). Suppose 31*p + l = 35*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/639 and -77\/3621.\nAnswer: 10863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011 - -10010?\nAnswer: 10100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -646986*f + 1940976. What is j(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 218 = 11*w + 695 - 293, 2*y - 3*y + 68 - 2 = -4*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22553 + -35?\nAnswer: 22518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -714.03912?\nAnswer: -714.03912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k - 14*k + 33*k - 13*k as u*k + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**3\/2 - 1305*m**2 - 278181*m\/2 - 3782787 = 0.\nAnswer: -751, -73, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a**5 - 298*a**4\/3 + 560*a**3\/3 + 2072*a**2\/3 + 64*a = 0. Calculate a.\nAnswer: -8, -2, -2\/21, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.23 - -3.33. What is the nearest to w in 7, -1.9, 3?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, -13, 9, -1.\nAnswer: -13, -4, -1, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4\/5 - 261*s**3\/5 + 345*s**2 - 3627*s\/5 + 432 = 0. What is s?\nAnswer: 1, 3, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8782895.\nAnswer: 5, 11, 23, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.021277 decades in millennia?\nAnswer: 0.07021277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190*x**2 - 194*x**2 + 22*x**2 to the form b + r*x**2 + c*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4 = 0, -23*x + 21*x = -3*j + 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032783737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30799476 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.81 times -4483.2?\nAnswer: -17080.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 2*m + 2, 4*j - 14148 = -0*j - 2*m - 14154 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -2, 0 in increasing order.\nAnswer: -2, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 29*k - 2. Let q(a) = -15*a + 1. Let c(j) = -j - 80. Let l be c(-87). Give l*q(i) + 3*z(i).\nAnswer: -18*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 - -1.238.\nAnswer: -15.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3111*r**2 - 455*r - 459. Give f(-1).\nAnswer: -3115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.17371?\nAnswer: 0.17371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/8))**(1\/34) assuming h is positive.\nAnswer: h**(-3\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-33798)\/387)\/(4\/(-1158)). Let q = 8415 + 6279. Let l = n - q. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 36 = 0. Suppose -4*y - z = -64. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 346212*l**2 + 484111*l.\nAnswer: 692424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-4) - (-222)\/42. Put -1\/5, l, -3 in decreasing order.\nAnswer: l, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7974 + 130117. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8*z + 3*z = 160, 4*i - z - 119 = 0. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*f + 47527*a**3*f**3 + 26731*a**2*f**3 + 2*a**2*f**2 wrt a.\nAnswer: 24*a*f + 285162*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130183\/10 - -13029. Calculate the common denominator of -5\/22 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.84019 months to millennia.\nAnswer: 0.0057366825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213758.3 milligrams to grams.\nAnswer: 213.7583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2560*f + 5593. Is w(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5418, 5504, 5756, 6258, 7094?\nAnswer: 8348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -180*f**3 - 7*f**2 - 10*f - 324. Let p(s) = -60*s**3 - 2*s**2 - 3*s - 108. Let h(a) = -2*d(a) + 7*p(a). Differentiate h(j) with respect to j.\nAnswer: -180*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*w + 3221*w - 262645 = -33717 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (3 - 1 - 1). Let z = -14 - m. Let q = 12 - z. Calculate the highest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*((j*j*j**(-1\/2))\/j*j)\/j)**(1\/12)\/((j*j**(-3\/14)*j)\/(j\/(j\/(j**(-17)*j)))))**(-3\/5) assuming j is positive.\nAnswer: j**(2967\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -7, -11, -19, -31, -47?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/578 or -1?\nAnswer: -3\/578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-4) - 1*2. Suppose m*s + 4*s = 20. Suppose 10*l - s*l - 60 = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000001 (base 2) to base 5\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 4:33 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3)\/z)\/z)**19 assuming z is positive.\nAnswer: z**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17829 is divided by 1655?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 177\/4. Let t = -1 + 3. Solve -d*q**4 + 0 + 1\/4*q**t - 1\/4*q + 1\/4*q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 2 (b) -4\/3 (c) 300\/293\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 6:49 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 11:53 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -303, -759, -1467, -2553, -4143, -6363, -9339, -13197?\n\"Answer: -21*u**3 - 309*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((-6)\/18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + 30\/(-12))*(-16)\/(-18). Suppose l = -5*a + 91 + 29, -4*l = -a + 45. Suppose -4*n = n + a. Sort n, s, 11.\nAnswer: n, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6018314 to the nearest integer?\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*b = -36, 410*o + 25 = 411*o - 5*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -2.2398002\nAnswer: -4.4796004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 5*w + 29. Let s be v(7). Solve -4*d + d + s = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20303*w - 32 = 3*k - 20301*w, -5*w + 20 = -5*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1088) - (sqrt(1088) + -2*sqrt(1088)*-2) - ((sqrt(1088) - (sqrt(1088) + 2)*5) + sqrt(1088))) + 3*-3*sqrt(1088) + 2 + -3)**2.\nAnswer: -10976*sqrt(17) + 215649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 27*o + 126673 = -32*o, 4*a - o - 168886 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 2 = -n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(5) - (-2*sqrt(55))\/sqrt(11))*2*6).\nAnswer: 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 7\/(-5)) + (-1278)\/(-30). Suppose -40*q + u*q = 117. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 13 = -13. Let i be (3 - 4)*1\/(-4). What is the closest to i in 0.1, -3, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 17*m**2 - 15*m - 35. Let z be x(17). Let s = z - -488. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139587809.\nAnswer: 139587809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 7 = 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 + 30*m + 12 + 7*m**2 - 7 + 10 - 15*m. Let k be f(-7). What is k rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27880, 55737, 83592, 111445, 139296?\nAnswer: 167145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -73 (b) 2\/81 (c) 4 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (187\/85)\/(2\/810)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 600c6a (base 15) to base 5\nAnswer: 2131342200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z = 36*z + 8 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2523046?\nAnswer: 2, 1261523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/36678?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 349\/12. Let f(a) be the second derivative of j*a**4 - 1\/20*a**5 + 0*a**3 + 2*a + 0 + 0*a**2. Find the third derivative of f(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 324267*p**2\/2 + 1459206*p + 81\/2 = 0?\nAnswer: -9, -3\/108089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 18*v**2 - 15*v + 9. Suppose -b = 2*b + s - 48, -9 = 3*s. List the prime factors of t(b).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.030542 + 15.03. Round y to five dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00159096 rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15613 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 1. Let k be ((-9)\/(-81))\/((-2)\/(-18)). Let b(n) = 4*n. What is k*x(c) - b(c)?\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1*((-28)\/35)\/(-2))\/(((-4186)\/(-21))\/23)\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21124490 is divided by 22862.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*z - 2*z - 385 = 0, 5*u - 2*z - 379 = 0. Suppose -4*p - p + u = 0. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6785480 to the nearest integer?\nAnswer: 2605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-11*w - 216 + 216).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2363, -9484, -21357, -37982?\nAnswer: -59359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 + 4*k - 4. Let m be (-2)\/(-8) + 91\/(-28). Let i(c) = c**2 + c - 1. Let x(s) = m*o(s) + 12*i(s). Let j(h) = -2*h**2. Give x(j(g)).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-16)\/((-112)\/(-329))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Let b be (-30)\/6 - 6\/(-2). Let f = d + b. Is 1 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -991*3.\nAnswer: -2973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**4 - 346*g**3 + 31*g**2 + 14*g - 5 wrt g?\nAnswer: -192*g - 2076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1888 divided by 1888\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 701356 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y + y)*(-43 - 42*y + 43) + y - 11*y**2 + 9*y**2 - 3*y.\nAnswer: -170*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/26*((-20)\/(3920\/(-1421)))\/((-3)\/8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.064, 1, 0.1, 1020?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:32 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -24. Sort k, -1, -0.3 in increasing order.\nAnswer: k, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/30752 and 53\/123008?\nAnswer: 123008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -7. Let t = d + -4. Calculate the remainder when (t + -42)*(0 - 1) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/60 - b**4\/4 + 7*b**3\/6 - 3*b**2. Let k be g(-9). Let t = k - -35. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2 - 3*q + 4*q**2 - q + 0 + 0. Let z(m) = -m**2 + m - 1. Let j(v) = y(v) + 3*z(v). Calculate the remainder when 11 is divided by j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/96)\/(7\/((-70)\/5)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -1.8, 61213?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 4*s**2 - 27*s + 3. Let v be l(6). Let c = -197 + v. Solve 11 - 7 = -c*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90959.\nAnswer: 11, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 - 9*f + 15. Let a(q) = -3*q**2 - 6*q + 10. Let m(p) = -7*a(p) + 5*v(p). Let k be m(5). What is the greatest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447333 not equal to 447344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q**(1\/4)*q*q*(q*q\/q**(-1\/3)*q*q)\/q*q*q*q*q\/(q*q*q**7)*q)**(2\/27))**(29\/3) assuming q is positive.\nAnswer: q**(899\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47709 by 9.\nAnswer: 5301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.5042 + 0.0042. Let m = s - -63.9. Round m to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 8*k - 25. Suppose -5*d + 9 = 49. Let z be p(d). Is 6\/(-15) - 885\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 130*j.\nAnswer: -2*j*(j + 585)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {u: 3, k: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-2 + sqrt(2736) + sqrt(19))**2 - sqrt(133)\/sqrt(28)) + 0 + sqrt(38)\/((sqrt(24)\/sqrt(3))\/sqrt(4))).\nAnswer: -19290 + 309*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -39.5 + -8.5. Let g = z + 108. Let s = g - 60.000000594. What is s rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 29 - (-33 + 10).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**3*k**3 - 19420*j**3*k**2 - 2*j**2*k**3 + 40467*k**3 + 11*k**2 wrt k.\nAnswer: 36*j**3 - 12*j**2 + 242802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 213\/30 + -2 + (-6)\/10. Let h(o) be the first derivative of -12*o - b*o**4 + 4 - 3\/5*o**5 - 13*o**3 - 18*o**2. Determine l so that h(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(64) - (1*sqrt(80)\/sqrt(5) + sqrt(16)))*1)\/(((sqrt(192)*-1 - sqrt(192))\/sqrt(6))\/((sqrt(24)*-1)\/sqrt(6))))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(5\/8)\/i*i)\/((i**(-1\/2)\/i)\/i*i))\/((i\/(i**(-8\/11)\/i))\/i**(-1\/28)))**(-44) assuming i is positive.\nAnswer: i**(393\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-10))\/(902\/4*(-5092)\/(-70015))\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.74 + 27.8. What is the closest to -1 in 0, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7538, 15076, 22634, 30218, 37834, 45488, 53186, 60934?\n\"Answer: n**3 + 4*n**2 + 7519*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 913*k - 371614. Give a(407).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3731 is divided by 1229?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**2 + 4*s + 52. Is u(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a31 + -d94?\nAnswer: -59c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 greater than or equal to -83\/1755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 26419*s - 11180. Is q(31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 12 - 25*x - 5 + 13.\nAnswer: -25*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**3\/3 - 37*a**2\/2 - 17*a. Let c be r(17). What is the second smallest value in -2\/5, c, 0.1, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3311 and 50661611.\nAnswer: 50661611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 401, 419, 435, 449, 461, 471, 479?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11084.4 * 0.24\nAnswer: 2660.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -16*w - 107. What is t(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13535\/4 in 0.5, -4, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-4)\/(-3))*-3. Let n(g) = -g**3 - g - 2. Suppose p - q + 10 = q, 5*p = 3*q - 22. Let u be n(p). Solve 0 = -l*m - 0*m + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6360729?\nAnswer: 3, 2120243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {z: 12, a: 7}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.38 and -0.4.\nAnswer: -1.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 + 3*n - n**3 + 9*n**2 + 5*n**2 - 12*n**2 + 4 in the form l + y*n**2 + f*n + w*n**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1018 * 0.1\nAnswer: -101.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -143, -144, -145, -146, -147?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -5, 1, 5 in ascending order.\nAnswer: -5, 1, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) + sqrt(96)) + 3.\nAnswer: sqrt(13)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 48. Let s be 3\/(-60) - 17682\/(-840). Solve a = p + s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-444)\/(-259) - 2\/(-7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 1:41 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 77*u**3 + 187*u**2\/2 + 2*u - 9. Is k(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21448 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 1\/152, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144 + 143)\/((-2)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*i + 2091 = -8880. What is the remainder when 91 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 3\/1) + 1. Calculate the least common multiple of -1*s\/((-3)\/27) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*l - g, -18 + 39 = -3*l + 2*g. Sort l, 0, 5, -2 in decreasing order.\nAnswer: 5, 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 - 9*c**2 + 13*c**2 - 4*c)*(-c**2 - 4*c**2 + 2*c**2).\nAnswer: 6*c**4 + 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21203543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1604\/25139 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1239, -2479, -3717, -4953, -6187, -7419?\nAnswer: -8649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 2:28 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1469768.00799583 + 1469801.008. Let g = i - 33. Round g to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 51 - 123. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157.33 != -2308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620425 (base 7) to base 4.\nAnswer: 121312003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.042381 millimeters in nanometers?\nAnswer: 4042381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10924801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**2 - 344*j + 1960. Give w(51).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = -2*q, 4*q = 3*r + 2*q - 18. Suppose n - 66 = -r*n - 4*j, -n + 4*j - 6 = 0. Is 9 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122 by -6.\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1173229.231 + 2\nAnswer: -1173227.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*b + 609*b - 302*b = 7*u + 83, 5*u = -4*b - 81 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 17*f + 4 - 2*f**2 - 8*f - 12*f. Let h(o) = o**2 - o**2 - 4*o - 3 - o**2. Let i be h(-4). What is n(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19621*j*l**2 - 2*j*l + 557*l + 4 wrt l?\nAnswer: 39242*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) 1\/6 (b) 0.3 (c) 0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -7. Suppose 9*s - 5*u + 17 = 12*s, -2*s + 5*u = -28. Is b bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 4*f**2 + 2*f + 1. What are the prime factors of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 470327255 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = -7*f. Suppose 0 = -f*j - 0*j + 20. Factor -2 - 30*m + j*m - 53*m**2 + 3*m**2.\nAnswer: -2*(5*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**3\/3 + 19*q**2 - 875*q - 3. What is x(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 771, 6074, 20463, 48480, 94667, 163566, 259719?\nAnswer: 387668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/21)\/(56\/(-147)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/p)\/p)**(-3\/8)*p\/p**(5\/11)*p**(-2\/9)\/p assuming p is positive.\nAnswer: p**(-833\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -150391.5 rounded to the nearest one hundred?\nAnswer: -150400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17151413 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - w + 1. Let t(b) = b**2 + b - 1. Let n(z) = -t(z) - x(z). Let i(y) = -y. What is n(i(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 5. Suppose -l + 6 = -3*c, 5*c + 7*l - 2*l = -30. Let z be y(c). Solve 5 = 2*a - z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 - -4.2. Let r = -4 + s. What is the closest to r in 2\/7, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4\/3 - 63*k**3 - 526*k**2 + 29092*k\/3 + 1960 = 0. What is k?\nAnswer: -14, -1\/5, 10, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71820 + 122380. Calculate the greatest common divisor of g and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(70)*-6)\/(-4*sqrt(1210)*2).\nAnswer: 9*sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -226457.328?\nAnswer: -226457.328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2. Let o(t) = -t**2. Give -g(w) + 2*o(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5071 - 8*w - 2*w - 7*w + 5074 - 2*w**3 to the form s*w**2 + n*w + k + x*w**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9044 and 362740.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 + -3. Let m = -4 + 5. Suppose 2*r + 12 = 4*l - 0, 7 = -3*r - 5*l. What is the third smallest value in r, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiiiiiiiiiiciiii.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 756547 divided by -15.\nAnswer: -756547\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r**3 - 3*r**2 + 25. Let w be z(-7). Suppose 21*b + 816 - w = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194 times 0.536\nAnswer: -103.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*j - 3*j. Solve j*x + 2\/3*x**2 + 0 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -10 + 4. Let r(b) = -b**3 + 16*b**2 + 18*b - 14. Let u be r(17). Is 6 a factor of 46*((-21)\/f - u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -17708*i**3 - 9*i**2 - 17*i + 14. Suppose 0 = 3*k - 4*k + 2*z + 9, 0 = -3*k + z + 27. Let s be c(k). Round s to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33919?\nAnswer: 107, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1268754 is divided by 633830.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304597928?\nAnswer: 2, 139, 273919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 123?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + m = -8, 0 = 3*i - 7*m + 10*m - 21. Solve -i*h = 5*h - 40 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 214 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.8 - -0.2. Let d = -3 + -3. Let b = d + y. Which is smaller: b or 2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106599 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1244512*r**3 + r - 103927.\nAnswer: 7467072*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -273*y**3 + 65*y**2 + 65*y + 65. Let f(l) = 17*l**3 - 4*l**2 - 4*l - 4. Give -65*f(n) - 4*g(n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-40)\/14)*-7. Let n be (2 + v)*1\/(-18). Which is the nearest to -1\/2? (a) 3 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:39 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 4:21 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 27*z + 785. What is s(27)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 4644153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, t: 9}. What is prob of sequence ettt?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14304, 28594, 42884, 57174?\nAnswer: 71464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 5*q**2 + 4*q + 2. Let r be m(4). Suppose 160*p + 11 = 172*p - 1. Let u(l) = l**2 - 2*l - 5. Let h be u(4). Solve -p = -h*n + r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1062187 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5 - 21*h**3 - 6*h**2 + 36*h + 24 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228633548 and 492?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.88 + 2.38. Which is the second smallest value? (a) n (b) 5\/3 (c) 0.048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.139 (b) 3\/7 (c) -218 (d) 0.5 (e) 2\/5 (f) -6\/19 (g) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 442 + -306. Suppose 0 = q - g - 118. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4048 and 8088.\nAnswer: 4092528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (8\/(-28) - (-10)\/(-7)). Factor 4\/7*m**2 + 0*m**3 - f*m**4 + 0*m - 2\/7.\nAnswer: -2*(m - 1)**2*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -835042?\nAnswer: -835041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78350130 and 417.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 283782, -5, -3, 0 in decreasing order.\nAnswer: 283782, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 160?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13674 - 13682. Sort 5, -5, z, -3, 27.\nAnswer: z, -5, -3, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 22. Let a be (t\/(-3))\/3*-2. Solve -m + 1 = a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.211, -4\/3, -7 in ascending order.\nAnswer: -7, -4\/3, 0.211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 12*d**3 - 126*d**2 + 74*d - 146. Calculate y(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -8*a + 5\/2*a**2 - 1\/4*a**4 + 9 - 43\/20*a**5 + 0*a**3. Find the third derivative of n(l) wrt l.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 443422 (base 7) to base 8\nAnswer: 230371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27056931 is divided by 755.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 (base 3) in base 11?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 118381042.6 and -0.4.\nAnswer: 118381042.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 + -79. List the prime factors of g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/305 (b) -7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18660*b - 9*b**2 + 18642*b - 74589*b + 18640*b + 18647*b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlbvvvlvlvvllvl. What is prob of picking 1 l and 2 v?\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228.2 + 224.2. Let g = -257 - -256. What is the closest to -1 in g, j, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29852130.\nAnswer: 2, 3, 5, 7, 11, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 7*d**6\/15 + 43*d**5\/5 - 55*d**4\/2 + 44*d**3\/3 + 28*d**2 - 1779*d. Suppose w(i) = 0. Calculate i.\nAnswer: -14, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnnvnnvnnnnnnnnnn?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0*96927\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -819490 divided by -35\nAnswer: 23414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 - 112. Let p be (-178)\/(-3) + (i - (-55)\/15). Is 59 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 33 in ascending order.\nAnswer: 0, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqes when four letters picked without replacement from {e: 3, s: 1, l: 1, j: 1, q: 6}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -1 + -1 + 2. Suppose -2*c + 2*m + 6 = a, -4*c = -4*m - m - 10. Let x(v) = -5 - 6*v**2 + v + v**3 + 9*v - 3*v. Determine x(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r. Let a(d) = -12*d - 3. Let j be 533\/41*2\/13. Calculate j*a(i) - 22*s(i).\nAnswer: -2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 34.8. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544577 is divided by 2773.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101424664 or 9\/7?\nAnswer: 101424664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/4))**36\/(d\/(d*d**(1\/2)))**(2\/9) assuming d is positive.\nAnswer: d**(244\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -366 + 396. What is the greatest common divisor of m and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/1489 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4142 and 31844.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 29. Calculate the highest common divisor of m and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373836231?\nAnswer: 1373836231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(6) + sqrt(150)*-5)*-2)\/(sqrt(2592) + (sqrt(800) - (sqrt(800) + (sqrt(800)*2 - sqrt(800)) + sqrt(800) + sqrt(800)))).\nAnswer: -sqrt(2)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70 - (20 - 5 - -14)) + -5.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553850 to the power of 1\/2, to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6449, 25994, 58571, 104174, 162797?\n\"Answer: -x**3 + 6522*x**2 - 14*x - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1398, -2148, -2896, -3642?\n\"Answer: n**2 - 753*n - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3566466\/95 - 37541. Let s = m - 18\/19. Let u = -240 - -2162\/9. Which is the smallest value? (a) 2 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 112 = -442*h + 446*h, -5*j = -3*h - 52 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Suppose -m*z = -129 - 21. Suppose 4*s - z = -s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.893964 rounded to one dp?\nAnswer: 317.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - -14. Suppose -5*u = -25, 34 = 4*y + 3*u - 57. Calculate the remainder when p is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -2\/7, -3.4, -49, 0.01?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52218, 52207, 52196, 52185, 52174?\nAnswer: 52163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7407128ml?\nAnswer: 0.0007407128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 33 = -5*f, -3*f + 3 = 2*q - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13935 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - -20. Solve -y*k = -46*k - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -3, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 131793.7915 to the nearest one hundred.\nAnswer: 131800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (13 - 20)) + 222 + -186?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4.79.\nAnswer: 9.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -21. Let w be (3 - (-42)\/(-18)) + 5\/v. Is w greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48533 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -4 (c) 2\/5 (d) 64678\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*-3*(-1)\/3. Suppose -t*o - j + 35 = 0, 2*o - j - 3 = 4. Let r be -7 + o - 52\/(-2). Solve 5*v - 4*d = -d - r, 4*v + 20 = -d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6529*i - 35084 - 4090 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137\/138440 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 34, 0.33 in increasing order.\nAnswer: 0.2, 0.33, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 1. Let w be o(1). Let p(u) = -2*u**2 + 8*u. Let b be p(4). Solve -g = -i + 6, b = -g - 3*g - w*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 5. Let o(g) = g**3 - 2*g + 6. Let b = -460 - -466. What is b*d(f) - 5*o(f)?\nAnswer: -5*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, 0, 1, -9, 24 in increasing order.\nAnswer: -19, -9, 0, 1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17483205 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 bigger than -16241.78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6 - 6. Let r = 3 - 0. Suppose r*s + 19 = 4*x - 0*s, 2*s - 20 = -2*x. What is the least common multiple of x and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171567 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2\/31 (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101007*h - 101009*h + 303013*h - 101008*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 13 + 14 - 161*a - 22 + 108*a. Let u(f) = 2*f**2. Determine d(u(r)).\nAnswer: -106*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5))**(2\/29) assuming d is positive.\nAnswer: d**(2\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10482, 41165, 92300, 163887, 255926, 368417?\n\"Answer: 10226*d**2 + 5*d + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -2. Let j = 1649 - 1648.5. What is the nearest to d in -5, -3, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27730188 divided by 32778.\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*j - 1196 = 0, -3*g + 164 = -5*j - 1025. What is the remainder when g is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r + 3*r - r. Let h(z) = -10*z - 15*z + 9*z. Calculate o(h(k)).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330)\/99 - (-1 + 1 - (12 - 9))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 1.36204.\nAnswer: -2.72408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 13351 - 12759 = 0. Suppose -k - 27995 - w = 3*i, -61202 = 2*k + i. Round k to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163427494?\nAnswer: 2, 17, 101, 47591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3688 = 2*o - a, -2*a + 929 = -o. Let y = -3711\/4 - o. Let f = -13286 - -451803\/34. Find the common denominator of f and y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0802869 to 3 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 - 21*d**2 + 77 - 13*d**2 - 77.\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1897.8 - -1898. Let v = 5 + -10. Let r = 9.6 + -9. What is the nearest to r in m, -2, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*c - 95. Let p = 198 + -177. Calculate the remainder when 10\/c - (-813)\/p is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.17 times 0.3?\nAnswer: 3.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 800.3 - 800. Sort 163, n, 2\/11 in decreasing order.\nAnswer: 163, n, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4210 - 48?\nAnswer: -4258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/30)\/((-38)\/(-95))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 10:38 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 113546 >= 113484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z*z\/(z*z**(-17)*z)*z*z*(z*z\/(z**(-10)\/z))\/z)\/((z**(3\/8)*z)\/z**(-1\/4)) assuming z is positive.\nAnswer: z**(259\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2852)\/(-69)*(-3)\/(-2) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -5767.2.\nAnswer: -5767.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-125) - (-2101)\/(-3820).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 9. Let k(q) = -2296*q. Determine k(y(h)).\nAnswer: -2296*h - 20664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**4\/12 - 2*j**3\/3 - 2*j**2. Let b be q(9). What is the common denominator of (-8)\/28 - (-515)\/b and -23\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3157743668 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/4)\/c*c)**(5\/8))**28\/((c**(1\/2)\/c)**11*c*c\/c**3*(c*c*c**5)\/c) assuming c is positive.\nAnswer: c**(109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 4*j**2 - j + 8049000. Let u be f(0). What is u rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:07 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 359901608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. Suppose -a + 7 = 2*s - 2*a, -4*s = a - 5. Solve -c**5 - c**5 + 2*c**3 - 2*c**3 + s*c**w = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2 + 2*q + 21. Let m(n) = 3*n**2 + n + 10. Let v(z) = 4*f(z) - 9*m(z). Let g(h) = -h**2 + 5. Let p(t) = 6*g(t) + 4*v(t). Solve p(y) = 0 for y.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(((-2)\/(-5)*-17)\/((-1355)\/(-6775))).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 7:51 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95320, -95226, -95124, -95008, -94872?\nAnswer: -94710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 14601.\nAnswer: 14601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-15\/7)*q)**(-35)\/(q*q**(13\/3)*q)**(-2\/23) assuming q is positive.\nAnswer: q**(383\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -3. Calculate the highest common divisor of 54 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v + 0*v + 0*v + (39 - 6 - 3)*(-3*v + 2*v - 4*v).\nAnswer: -145*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 11*q**5\/20 - q**4\/4 - 61*q**2\/2 - 6*q + 2. Differentiate b(t) with respect to t.\nAnswer: 33*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyzz. Give prob of sequence zy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3103.67 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5125575 minutes to milliseconds.\nAnswer: 30753.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1138 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142154 - 142154 + 0*d**2 + 3*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 29*q**2 + 30*q + 68. Let i be u(-28). Suppose w = -w + i. What is the derivative of -w - 17*p**2 + 3 + 17 wrt p?\nAnswer: -34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899 divided by 1?\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 11*y - 369 = -364, 4*y + 10 = 5*t - 7*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2353 - 758. Calculate the remainder when l is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.437 - -4.257. Let w = -5.5 + 5.32. Let v = n - w. Which is the second biggest value? (a) v (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.9369 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -25*u + 13. Let q be (-124)\/(-155) - (-126)\/5. Let d(p) = -6*p + 3. What is q*d(f) - 6*z(f)?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/23 in 97, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (32\/(-8))\/(1*-1). Suppose -g*r + 19 = -5. Solve 2*i + 4 = r*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 853 = h - 5147. Round h to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*r**6*z**3 + r**6 + 17*r**2*z**2 - 8*r**2 + z**3 wrt r.\nAnswer: -1920*r**3*z**3 + 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**24\/c**(-8\/11))\/(c\/((c*c**(2\/19))\/c))**(32\/7) assuming c is positive.\nAnswer: c**(30192\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 91996*a**3\/7 - 27046818*a**2\/7 - 252*a.\nAnswer: 2*a*(a - 294)*(45998*a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 10. Let m be k(11). Let f(p) = -18*p**3 + p**2 + 2*p + 1. What is the remainder when 51 is divided by f(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 7*h + 6. Let d be v(-3). Calculate the highest common factor of d and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:03 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.72 + -0.26. Let l = o - -1.044. What is the biggest value in l, -3, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156 - -183 - (6 - 1)) + -5 + 12?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2283264464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105701609\/3347 + -31581. Are 1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13428 and 12?\nAnswer: 13428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1635263116?\nAnswer: 2, 17, 59, 197, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*i + 385*i + 524*i.\nAnswer: 589*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o**3 - 192*o**2 - 199*o + 845. Determine x(20).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqqqqrqrrq. What is prob of sequence qrqq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 3, 4226, 1\/6, -4 in decreasing order.\nAnswer: 4226, 3, 1\/6, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f + 50. Give j(12).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154750 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5900, -10915, -15882, -20795, -25648, -30435, -35150, -39787?\nAnswer: -44340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3392*h**2 + 507*h**3 + 6777*h**2 - 3385*h**2.\nAnswer: 507*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, v: 1, u: 6, b: 2, p: 1}. What is prob of picking 3 u and 1 b?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(108)\/sqrt(24) + sqrt(18))\/(sqrt(6) + (sqrt(864)*1 - sqrt(6))))**2 + -3.\nAnswer: -551\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11405*m + 3128*m - 5286*m - 415*m to n + z*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g**3 - 37*g**2 - g - 98. Determine a(-6).\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) 0 (c) 0.4 (d) -61282\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 590 = 2*b, 3*b = 3*s - 168 - 432. Calculate the highest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -22. Suppose c*h + 6 = 3*h. Let l(r) = 2. Let v(n) = n - 7. Calculate h*v(t) + 7*l(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20503207 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(12 + (-275)\/23). Let o(r) = -r**2 + 22*r + 16. Determine o(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-1)\/(o*o*o**13*o*o**(-1\/16)) assuming o is positive.\nAnswer: o**(-255\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 298 = -4*m + 834, 3*m - 410 = b. Calculate the highest common divisor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*o*q**2*w**2 - 3*g*o + 4*g*q**3 + 26*g*q*w**3 + 18*g*q*w**2 - 9*g*q*w + 71*o*q**3*w**3 - 9*q**3*w**3 wrt w?\nAnswer: 156*g*q + 426*o*q**3 - 54*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u - 70*u = 100. Suppose m - u = -15. Solve 2*j = 3*c - 4*c - m, -4*j = 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/15 - 606\/255 - 3096\/(-1935).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -71 + -73 + 166 - -51\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97\/28 + -26\/7. Calculate the common denominator of m and ((-2)\/(-15))\/((-24)\/657).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.076 * 8\nAnswer: -0.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4573 + 4573 + 56*r)*(5 + 7 - 1) as l*r + a and give l.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z**(-6)))\/(z\/(z**(-1\/18)\/z)))\/(z*z*z**(-1\/6))**7)**(-2\/43))**(-20) assuming z is positive.\nAnswer: z**(-3200\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**4\/6 - 83*s**3 - 539*s**2\/2 - s - 156. Find the first derivative of j(f) wrt f.\nAnswer: 4*f - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 9 + -2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3113.376 to the nearest ten.\nAnswer: -3110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 5 = 11*d. Which is smaller: d or -1\/49?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26420799 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 23. Let j be (-222)\/z*28\/(-21). Let a = j + 69. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1985788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + o**2 + o. Let i(u) = -u. Let f be 5 + (-2 - -1)*2. Let z(h) = f*l(h) + 3*i(h). What is the third derivative of z(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20696663 * 1.\nAnswer: 20696663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 296010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 165600097 to the power of 1\/3, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 85, 5 in ascending order.\nAnswer: 0, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, 0, 1, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423204 (base 5) to base 14.\nAnswer: 524b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*q + 30*q + 2844. Let w be (-2)\/9 + q\/81. Let m(y) = y**3 + 9*y**2 - 5*y + 2. Is m(w) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.027027 and -1?\nAnswer: 0.027027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 717. Let t = 246 - x. What is the lowest common multiple of 48 and t?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-one halves of a second?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-270)\/(-35) + -8 - 100\/(-7). Let c(q) = q**2 + 4*q + 13. Let o be c(-7). Let b be o - -7 - (0 - 1). What is the highest common factor of b and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + sqrt(76)*1 - sqrt(76)))*2)\/((-2*sqrt(40))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -39)*((-7)\/2)\/7. Solve -2*z + 10 = 2*y, 5*z - z = -3*y + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14094 divided by 93?\nAnswer: -4698\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1615104771 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2239 is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (663\/52)\/(-17)*(-11)\/(-66).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, 4\/181, 0.6, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353 is divided by 71?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1, -2\/37.\nAnswer: -1, -3\/4, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4 - 2 + 4)*(32 - 43 - 34).\nAnswer: -135*t + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/87794 and 53\/21.\nAnswer: 263382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.21746 weeks in days?\nAnswer: 316.52222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*m**2 + 57*m**2 - 9*m + 5*m**4 + 2*m**4 + 55*m**2 to h*m**2 + v + l*m**4 + a*m**3 + q*m and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*q**3\/10 + 159*q**2\/10 - 155*q\/2 + 125\/2.\nAnswer: -(q - 1)*(3*q - 25)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2793463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12590 is divided by 87?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 146897000?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -9*z**2 - 67*z + 261. Calculate v(-11).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -9*r - 96. What is the smallest common multiple of 8 and (-72)\/30*r\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(12) - ((sqrt(15) + sqrt(45)\/sqrt(3))\/sqrt(3) + sqrt(5)))**2.\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67101*v**4 - 4*v**3 + 131757*v**2 wrt v?\nAnswer: 1610424*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8371 is divided by 215.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/12 - s**3\/6 - 3*s**2 - 3*s. Let f(a) = -1. Let i be 6\/(-2) + 6 - -1. Give i*f(t) - w(t).\nAnswer: -t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*c + 2, -x - 6 = 5*c - 3*c. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, 1.6, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**4 + 459*t**3 + 4545*t**2 + 4092*t + 30. Let y(s) = -3*s**4 - 230*s**3 - 2273*s**2 - 2046*s - 16. Let v(b) = -8*p(b) - 15*y(b). Factor v(x).\nAnswer: -3*x*(x + 1)*(x + 11)*(x + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 b when four letters picked without replacement from {o: 5, b: 9}.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 0*s**2 - 1 + 1\/8*s**3 + 2*s + 1\/40*s**6 - 3\/80*s**5 - 1\/16*s**4. Let r(m) be the first derivative of d(m). Factor r(z).\nAnswer: 3*z*(z - 1)**2*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1724 and 37.2.\nAnswer: -1686.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50447 or -50446?\nAnswer: -50446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -1) + 2630 + -2601\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 3. Suppose 2*b + 18 = -3*k + 3, -3*k + b = 6. Calculate p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7535273937?\nAnswer: 3, 2511757979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 12, -61, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 665 and 34046005?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 11*z**2 + z - 12. Let v be t(11). Let u be (-2)\/3*(v + -5). Let h(s) = s**2 + 3*s - 6. List the prime factors of h(u).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-250)*-5)\/(2\/(-5)). Suppose -l = -2*l. Which is the second smallest value? (a) 5 (b) i (c) l (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.101 times -0.106\nAnswer: -0.010706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6111.4*52\nAnswer: -317792.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.2 - -16.01. Let m = h - -0.66. Let v = -1.1 - m. What is v rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 20*a + 96. Let t(f) = -9*f - 48. Calculate -6*q(i) - 13*t(i).\nAnswer: -3*i + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 1. Suppose 266 = -5*b + 3*a - 699, -2*b + 3*a = 386. Let l = 194 + b. Let x(z) = z**3 + 2*z**2 + 2*z + 2. Give l*x(w) - 2*i(w).\nAnswer: w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3585236 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2233014 (base 5) in base 6?\nAnswer: -504023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 - 10) - 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -221358 + 0?\nAnswer: -221358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 351.68 - 319.5. What is g rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 19 + -4 + 1 + -28?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -766 equal to -896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 908*b**2 - 448*b**2 - 448*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 340*c**3 - 1070*c**2 - 6*c. Let g(x) = 339*x**3 - 1064*x**2 - 8*x. Let q(j) = 4*a(j) - 3*g(j). What is the third derivative of q(f) wrt f?\nAnswer: 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*k - 8, -11*l + 8 = -14*l - 4*k. Let h = 292 - 5553\/19. Which is bigger: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a decade in years?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 + 3*w. Let v be m(-2). Let r be (-4)\/v - (-48)\/22. Suppose 0 = -j - r*j + 24. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3406198 divided by 41?\nAnswer: 83078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-5))\/(69\/230). Let c = -117\/92 - -1\/46. What is the smallest value in -3, d, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115946028, 115946027, 115946026, 115946025, 115946024, 115946023?\nAnswer: 115946022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**2 + 4*m - 1. Let h(n) = -12*n**2 + 7*n - 2. Let w(t) = -3*h(t) + 5*r(t). Let o(x) = 6*x**2 - 7*x + 7. Calculate -5*o(y) + 35*w(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21099493 and 1047.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let k be a(-6). Let r = k + 0. Let g(j) = 4*j - 4. Calculate the remainder when g(5) is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21677 + -21678. Which is the nearest to -2\/7? (a) w (b) 1 (c) -51.7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 96*v - 9599. Let d be l(100). Sort 4, 0, d, 43 in increasing order.\nAnswer: 0, d, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a hour in seconds?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 192 = -4*h + 152, 5*h + 10 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -2)\/(1 + -3). Suppose -g - r = -2*w + 1, 3*w + g = 13. Solve w = -5*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (6 - -2 - (-2 - 5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 82, 512, 1682, 3964, 7730, 13352?\n\"Answer: 62*o**3 - 2*o**2 + 2*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.64448 - -3.244482. Let x = q + -0.6. Round x to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (6 - (163 + -75)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20*(133\/28 + -6). Suppose -2*b + 7*b = 20. Let p(w) = 6*w + 1. Let j be p(b). Calculate the greatest common divisor of y and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2512*v - 2492*v + 5037*v - 101 in the form t + f*v and give t.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42490, 84990, 127494, 170002, 212514, 255030?\n\"Answer: 2*v**2 + 42494*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*g - 2*g = -252 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/57))\/(y**(-3\/5)\/y))**(3\/14) assuming y is positive.\nAnswer: y**(731\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, -12, -75, -164, -279, -420, -587?\n\"Answer: -13*a**2 + 2*a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 362644307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*s - 24. Which is the second smallest value? (a) s (b) 2\/5 (c) 2 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 11 - -11 - (9 + 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 301\/12 + -25. Let z(p) be the second derivative of q*p**3 + 0 - p + 0*p**2 - 1\/24*p**4. Factor z(g).\nAnswer: -g*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*20\/2475)\/((-2)\/(-3))*(-666)\/111?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314177?\nAnswer: 17, 18481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6583, -7, -25, -4, 0 in decreasing order.\nAnswer: 0, -4, -7, -25, -6583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/16)\/((-1)\/(-6)). Suppose 5*m = -4*y - 12, -3*m - x = -0*y + 3*y. Let l(g) = g**3 + 5*g**2 + 3*g. Calculate l(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/5 - 353*n - 459016\/5 = 0.\nAnswer: -1448, -317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288)*1)\/(sqrt(4)*2*-6).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*4\/(-8)*(-1 + -8). Suppose -2*v + 1502 = 5*y, 0 = b*y - 4*y. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*111\/(-74)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 678 and 149916874.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, -35, -51, -73, -101, -135?\n\"Answer: -3*m**2 - m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*o + 6733 = -203*o + 26*o - 14515 for o.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 11 - 22320\/3189. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923177 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.497 - 3.497. What is the biggest value in z, 0, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbbkylbyll. Give prob of sequence lkl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (42 + 72 + -60).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + 0*t - 2*t**2 + (2*t - 6*t + 2*t)*(9*t + 5*t - 7*t) as j*t**2 + u + k*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - 15 - (9 - 14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + w + 46*w**2 - 5*w**3 - 5*w**3 + w**4 + 47*w**2 + 9*w**3 - 1 to the form k*w**4 + r*w + j*w**3 + d*w**2 + t and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-4)*32\/6. Suppose 7*p + 13*b = 18*b + 2288, -5*p - b + 1616 = 0. Calculate the highest common factor of p and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047912 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - p**2 + 4*p - 33 + 27.\nAnswer: -p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 395553619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4839 is divided by ((-9)\/(-3) - 39)\/(2 + -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/14 or -8\/19?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20008 and 6192476.\nAnswer: 12384952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*z - 79*z**3 + 37*z - 85*z + 41*z**3 + 39*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1289 (c) -2 (d) -1\/3 (e) -3339\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 316. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-644)\/28)\/(-23)*(-15)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**5\/60 - 11*n**4\/24 - 5*n**3\/6 - 3*n**2. Suppose 2*g = -5*i - 46, i - 2*g + 4 = 2. Is l(i) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m**3 + m - 2 + 946*m**2 + m - m - 945*m**2 to b*m**2 + q + s*m + h*m**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942927.\nAnswer: 3, 31, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 2. Let r(m) = 5*m - 3. Let q be r(4). Suppose -2*f + 23 = q. Let o be f\/(-6) - 0 - 55\/(-10). Give b(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.3631 nanograms in tonnes?\nAnswer: 0.0000000000004623631","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.8. Let x = 0 - -0.5. Let l = 0.9 - -0.1. What is the second smallest value in y, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4) + 723\/(-6). Let h = p + 183. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6181 + -0.20438\nAnswer: -6181.20438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210 (base 3) to base 7.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 1 + -3)*0. Which is greater: 3\/7 or a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:58 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 57, 83, 109, 135?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -296700211.5 rounded to the nearest ten thousand?\nAnswer: -296700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 28 = -156. Sort 1, 3, c in ascending order.\nAnswer: 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, p: 2}. What is prob of picking 3 u and 1 p?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/5 + 22100*i + 110520.\nAnswer: -4*(i - 27630)*(i + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 + 4*p + 5 = 0. Calculate p.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(68) + 4*((3*sqrt(68))**2 - sqrt(68)) - (-4 + -2*(sqrt(68) - -1*sqrt(68)))**2) + -3).\nAnswer: -350*sqrt(17) + 6700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13) + -4 - (sqrt(52)\/sqrt(4) + 3) - (sqrt(468) + 1 + sqrt(468) + -5))**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 - -9.9. Let y = 10 - v. Which is the closest to 0.3? (a) y (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, y: 1, g: 1, i: 1, m: 1}. Give prob of picking 1 i, 1 g, 1 m, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46, 96, 146?\n\"Answer: 50*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j - 61. Give g(14).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 143\/(51480\/288)*10\/18. Let a be (-2)\/(-4) + 5\/(-18). Factor a*r**4 + 0*r**2 - 2\/9 + 4\/9*r**3 - i*r.\nAnswer: 2*(r - 1)*(r + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 14768720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 3*h**4 + 31*h**2. Let w(z) = 2*z**2. Give w(p(l)).\nAnswer: 10368*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4989 is divided by 55.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9125 is divided by 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Let h = 15 - 6. What is the remainder when h is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 499, 1024, 1549, 2074?\nAnswer: 2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*32233.\nAnswer: -1192621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (16 - (9 + (4 - 5)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -4*y, 143*m - 138*m + 5*y = 80. Solve -1 = -9*h + 11*h + 3*w, -4*h - 3*w = m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -373*l + 123*l + 128*l + 119*l. Let i be 10\/4 + (-1)\/2. Let x(o) = -6*o - i*o + o. Determine 5*r(k) - 2*x(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1175, 1950, 2725, 3500?\n\"Answer: 775*i + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*h - 137 + 35 + 31 - 19*h + 38 + 40.\nAnswer: 150*h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26\/15? (a) 5 (b) -3 (c) 2396\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3)*(0 - -3). Suppose 2*y - 19 = -3*c - 0*y, 0 = -4*c + m*y - 8. Solve -4*q - c = -2*f - q, -3*f - 1 = q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163084480*r**5 - 29015932*r wrt r?\nAnswer: 3261689600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -25660 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*v + 34, -4*v + 3*i = i - 58. Let f = -6 + v. Find the third derivative of 4*h**4 - 4*h**4 + 2*h**f + 2*h**2 wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 3 - (157 - 179)) + (2 - -13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 0 + (-1)\/(-2)*6. Calculate the remainder when 36 is divided by (f - (1 - 0))\/((-37)\/481).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -235 - 4?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**6\/120 - a**5\/12 + a**4\/4 - 2*a**3\/3 - 2*a**2. Let m be -6 - 2\/((-2)\/2). Let o = m + 8. What is v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7803 is divided by 316?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*r - 37 + 77 - 40)*(4*r - r + 0*r)*(4 + 6 + 8).\nAnswer: 3510*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105039 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -113*u**4 - 6*u**3 - 3*u**2 + 427. Let s(q) = 2*q**3 + 1. Let o(j) = l(j) + 3*s(j). Differentiate o(k) wrt k.\nAnswer: -452*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -839, -3306, -7415, -13166, -20559, -29594?\n\"Answer: -821*y**2 - 4*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**3 - 49*i**2 - 3*i + 2. Let s(b) = -6*b**3 + 49*b**2 + 4*b - 2. Calculate -4*h(c) - 3*s(c).\nAnswer: -2*c**3 + 49*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 716\/72)\/((-2)\/(-4))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*b - 4*i, 5*b - 20*i + 16*i - 35 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.945694 to two dps.\nAnswer: 1.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 2*l + l + (-4 - 3 + 5)*(l + l - l) + 26*l - 7*l + 9*l as u*l + x and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5165879 and 50269.\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**2 + 7. Let g(x) = 25*x**2. Calculate g(i(c)).\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3345278, -3345216, -3345154, -3345092, -3345030, -3344968?\n\"Answer: 62*z - 3345340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139241486 to the power of 1\/2, to the nearest integer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 58 = -y, 0*v = v - 5*y - 64. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 14 - 2*h - 8*h**2 - 7 + 7*h**2. Let k be x(-6). Let l = -9 - k. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/6968 and -41\/14?\nAnswer: 48776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 253649928 divided by 238?\nAnswer: 1065756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.618 * -1.13.\nAnswer: 0.69834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80278*p + 4*p**2 - 4*p**2 + 132*p**3 + 80278*p.\nAnswer: 132*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 185, 157, 129, 101?\n\"Answer: -28*r + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**3\/3 + 5*i**2 + 10*i + 1. Let a be 27 - 9735\/363 - 258\/99*-3. Calculate z(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 at most as big as 67\/285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2146*z - 57680. Calculate v(-27).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 2, -20, -62, -130?\n\"Answer: -d**3 - d**2 + 2*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*i, 5*i - 389 = 3*l - 5*l. What is the remainder when l is divided by 76?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 2, -175, 6, -4, 2\/5?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-11 - -6) + 9 - 2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*s**3)*(-3*s + 0*s + s) + (-4*s**2 - 4*s + s + 2*s**2)*(746*s + 357*s + 1066*s)*(s - 1 + 1).\nAnswer: -4342*s**4 - 6507*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7\/6 (b) -8.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -63. Let f be (((-20)\/(-4))\/1)\/((-10)\/(-4)). Differentiate 154*w + f*w**4 - 10 - 154*w + r wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-72)\/(-4))\/(358\/(-118) - -3). Let t = a + 751. Suppose 22 = 5*u - 8. What is the lowest common multiple of t and u?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 36.58. Let f = 11.78 + k. Round f to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 88638997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - e7a7?\nAnswer: -e7c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-477)\/(-106)*(-6)\/(-3) + -50?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + (-2)\/4. Suppose -c = -5*r - 13, 5*c + 4*r = 131 - 8. What is the remainder when (-1)\/(-2)*h*-86 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x**4 + 152*x**3 + 22*x**2 = 0. What is x?\nAnswer: -1\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3714\/7? (a) 0 (b) -4 (c) -5\/2 (d) 3\/4 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 6. Let t be w(0). Let g = -8 + t. Put g, 3, -5 in descending order.\nAnswer: 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*o - 3*o = -133, -6*z + 5*o = -795. What is the least common multiple of z and 208?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4488260 and 56?\nAnswer: 8976520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r**3 - 55*r**3 + 24*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (9 - 9 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*y + 23*y + 16*y)*(4 - 5 + 4)*(-2 + 2 + 2) as w + h*y and give h.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 111, 200, 433, 882, 1619, 2716, 4245?\n\"Answer: 12*i**3 + 5*i + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -48, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -58, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 144*b**2 + 5 + 4*b - 7 + 5. Is q(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1394509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**4)\/f**(2\/23))**(5\/9) assuming f is positive.\nAnswer: f**(-355\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18377.4852us in days?\nAnswer: 0.000000212702375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -282 + 283. Which is smaller: 1\/162 or t?\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162 - -172. Solve 2*w + 5*c = 14, -w = -2*c + 6*c - d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001000100111001111 (base 2) in base 4?\nAnswer: -2020213033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/6 - 214*n\/3 + 142.\nAnswer: (n - 426)*(n - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 30*y - 9*y + 3*y. Let o be l(1). Let g = -14413 - -14438. Which is bigger: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599334.6 decades in centuries?\nAnswer: 59933.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/12 and -31\/1422.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*f + 1, -1178*r - 9 = -1175*r + 2*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**2\/5 - 10146464*b\/5 - 3382154\/5.\nAnswer: -2*(b + 1691077)*(3*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1959 - -31391\/16. Find the common denominator of 21\/14 - (-71)\/24 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12396 and -5?\nAnswer: 12401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) - -2*sqrt(119)*-6) - sqrt(119) - sqrt(119))\/((sqrt(84)\/sqrt(2))\/sqrt(6)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7c - -4?\nAnswer: -a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4\/5 (b) -2.4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14\/27 + -523\/189. Find the common denominator of r and 11*2\/12*1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3 (c) 4 (d) -2 (e) 801\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(144)*-6)\/(sqrt(40)\/(sqrt(40)\/(sqrt(4)*-1))).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 - h + 1. Let q(k) = k + 1. Let t be 5\/3 + (-8)\/(-24). Let x be q(t). What is w(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42560 = -10*x + 54140. Suppose -2*r - l + 35391 = 0, -98155 + x = -5*r - 4*l. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -72016 and 0.0001 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 68 - 3*j + 68)*(0 + 5 - 1).\nAnswer: 8*j**3 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232663, -465325, -697977, -930613, -1163227?\nAnswer: -1395813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 135.03. Let s = 0.045 + -0.015. Let t = s - o. Which is the closest to t? (a) 1 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 256, 2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 95*m**2 - 876*m - 260. Calculate p(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/3)\/(b\/b**(3\/5))*b\/b**(-4\/3)*b**(2\/7)*b assuming b is positive.\nAnswer: b**(373\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 773 divided by -45.\nAnswer: -773\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56666651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 5. Let h be (-1)\/(-5) - (-78)\/(-15). Sort h, g, 5.\nAnswer: g, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 42 - 51 + 9. Let k(z) = 5*z**2 + 7*z**2 - 4*z**2. Determine m(k(f)).\nAnswer: -128*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46802\/15 + -3120. What is the nearest to 5\/7 in -6, h, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6540695033 take away 17?\nAnswer: -6540695050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 5*i + 135. 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 next term in -6731, -12079, -17427, -22775, -28123?\nAnswer: -33471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(8\/96*-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 - 3*z. Let r(p) be the second derivative of 5*p**3\/6 - p + 434. Determine h(r(t)).\nAnswer: -100*t**2 - 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3071.\nAnswer: 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9104?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 1, y: 1, c: 3, h: 1}. Give prob of sequence yt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - 0.28. Let m = p - -1. Let f = -0.799892 + m. Round f to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -157\/2 - -80. Put -0.04, -2, h, -1\/2 in descending order.\nAnswer: h, -0.04, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 0*l**4 - 16*l + 0*l**2 - 9\/10*l**5 + 0 - 1\/6*l**3. Find the second derivative of w(d) wrt d.\nAnswer: -108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13150814329*l**3\/4 + 13150699652*l**2 - 458707*l + 4.\nAnswer: (l + 4)*(114677*l - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 6 - 21)*15\/15.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3088 plus -0.12882?\nAnswer: 2.17998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 22*i + 34. Let l be v(-10). Let b be (3 + -3)*(-7)\/l. Solve -3*n + n + 3*q - 13 = b, q - 4 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, 5, 138, -33 in increasing order.\nAnswer: -33, -5, 0, 4, 5, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c. Let p(r) = -r**2 - r - 1. Calculate -b(n) - 2*p(n).\nAnswer: 2*n**2 + 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 2. Let x(m) be the first derivative of m**4\/12 - 3*m**2\/2 - m - 52. Let q(k) be the first derivative of x(k). Calculate -7*i(y) + 4*q(y).\nAnswer: -3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-28)*(-38)\/57?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 - -2.21. Let h = 651.01 + -651. Let o = h - z. What is the closest to 3 in 0, o, -3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/7 - 52*w**3 + 2366*w**2.\nAnswer: 2*w**2*(w - 91)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -463\/122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 344*r**2 - 1740*r - 1743. Let i be b(349). Let w(z) = z + 6. Let f be w(-3). Solve i*o = -h + 12, 2*h - h + f*o = 17 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + 0. Let y = m + -5.02. Let t = y + 3. Which is the third smallest value? (a) 5 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274488 + 274474 + 274471 + 5*c**3 + c**3 - 823433.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 51 - 48. Suppose b = 5*s + 5*b - 15, 0 = -3*b. Suppose -5*v - 25 = 0, s*v = 2*g - 14 + 3. Sort -3, g, l in descending order.\nAnswer: l, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhus when four letters picked without replacement from {l: 2, q: 2, u: 1, s: 1, h: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -9. Suppose 2*g - n - 25 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 33 - 24 = 0. Let v be o\/6*20\/5. Which is smaller: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13aa - -2?\nAnswer: -13a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1292, 39, -69.\nAnswer: -69, 39, 1292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 - -81. Calculate the remainder when (2\/6*r)\/(18\/2106) is divided by (10\/(-8))\/((-2)\/16).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 12 = 7*f. Calculate the lowest common multiple of 3 and 6\/(-3 - -1)*(-1 - f).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.43 + 93.43. Let m = x + -92.2. What is the closest to 0.1 in 0.2, -0.04, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 857, -1, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016429 to six decimal places.\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**3\/2 - 133*y. Let z(d) = 3*d**2. Calculate z(c(w)).\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 96. Suppose -4*g - 4*h = o, -3*g + 6*g - 11 = 4*h. Let j(x) = -x**3 - 3*x**2 - 3*x - 4. Give j(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4*(sqrt(325)*-1 + sqrt(325)) + sqrt(325) + sqrt(325) + -1 + 2 - (sqrt(325) + -1 + -3 + -4)))**2.\nAnswer: 1440*sqrt(13) + 6496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 868, 1733, 2590, 3433, 4256, 5053, 5818?\n\"Answer: -l**3 + 2*l**2 + 866*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - -0.1. Let g be (16 + (1 - 0))*-1. Let u = g - -189\/11. What is the closest to u in -2, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.4, 0.04 in increasing order.\nAnswer: -8, 0.04, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - p. Let t(u) = 4*u**2 + 2*u. Let g(f) = 2*b(f) + t(f). Let d(s) = 2*s - 2. Calculate d(g(n)).\nAnswer: 4*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.1544069 minutes in weeks?\nAnswer: 0.002495476875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:58 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, e: 1, r: 1, u: 2}. Give prob of picking 3 c.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 283*m**2 + 20*m - 39. Is w(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47, -58, -83, -128, -199?\n\"Answer: -g**3 - g**2 - g - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/2, -2, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2) - 2\/(-4). Let y(q) be the third derivative of q**3\/6 - 12*q**2. Let u(l) = -2*l**2 + 3. What is o*y(k) - u(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5470*j + 5267*j = 8323 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -13571*v - 40716. Calculate w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 33.6. Which is the nearest to 1? (a) 4 (b) -5\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 5*y**4\/3 - y**2\/2 + y. Is w(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*q**3 + 144 + 102 + 2*q - 246.\nAnswer: -41*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2878 is divided by 1060.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36418 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -90*w**3 + 918*w**2 + 8*w - 16. Let u be r(10). Are u and 13039\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-167)\/3 - 5\/15. Let u be (-4)\/(-14) + (-1664)\/v. Let a = -23 + 43. What is the greatest common divisor of u and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 17. Let w(j) = -2*j - 18. Let u(o) = o**2 + 75*o - 491. Let c be u(6). Determine c*i(v) - 4*w(v).\nAnswer: -2*v - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 102121 (base 3) to base 11\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -10*g**3 - 44*g**2 - 13*g**3 + 55*g**3 - 12*g**3 + 10*g - g**2 = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*10.422.\nAnswer: -0.62532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = k. Calculate the remainder when k is divided by 16\/(-40) - ((-24)\/10 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 70 + 143. Let z = q + 131. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61438 is divided by 4186.\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a. Let r(x) = -3. Let z(d) = d + 7. Let t(b) = -7*r(b) - 3*z(b). Give u(t(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*k**3 + 14*k**3 + 44*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159*s**2 - 1204*s + 46*s**2 + 1199*s wrt s.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*l**3*m**2 + 5*l**3*m - 15*l*m**2 - l*m + 3*m**3 - 3716*m**2 + 697297 wrt m?\nAnswer: -22*l**3 - 30*l + 18*m - 7432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -1. Let k = 2 - u. What is the first derivative of -4 + 0 + 2*q**2 + k wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = h - 54, -y + 2 = 4*h - 4. Let d = 5.6 - 1.6. Put d, 1\/4, y in increasing order.\nAnswer: 1\/4, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30571 (base 8) to base 4.\nAnswer: -3011321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 5*a**3\/3 + 60*a**2 + 720*a + 35. Factor y(l).\nAnswer: 5*(l + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*k = -19, k = 3*o - 20 + 4. Suppose -o*a + 8 = -42. Let x(z) = z**2 - 11*z + 15. What is the units digit of x(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 344*x + 11*x**2 + x**2 + 313*x + 1 to i*x**2 + z*x + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -51*b + 55*b. Let q be -2*2\/(-4)*1. Let v be (3\/b - q)*0. Solve v*u = 4*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 68. Let k be (3\/6*-15)\/((-6)\/o). Suppose 5*q - k - 85 = -2*v, q - 5*v - 48 = 0. What is the remainder when 88 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1417 - -1429. Calculate the lowest common multiple of 8 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716495?\nAnswer: 5, 13, 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32241 - 12?\nAnswer: 32224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -105 - 401. What is the lowest common multiple of d and 99?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u - 2*v, 9*u - 12*u = -5*v - 11. Let l be (-1 + u - -1)*(-3)\/3. Let o = 13 - l. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133140 (base 7) to base 4.\nAnswer: 12020130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-25)\/10)\/(-5))\/((-5)\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890 is divided by 146?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1170 = 698*z - 680*z. Solve z = -r - 12*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 16*d**2 - 45*d - 5. Calculate u(-13).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 10*s**2 - 7*s - 9. Let b be f(-6). Let m be b\/(-135) - (-2)\/(-9). Let w = -22905 - -22907. Does w = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1599749*d**4 - 237119*d**2 + d wrt d.\nAnswer: 38393976*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 0*v**2 + 0*v**2 + 3 - v**3 - 4*v**2. Let a(y) be the second derivative of -y**5\/10 - 3*y**4\/4 + 7*y**2\/2 - 18*y. Give -6*a(l) + 14*f(l).\nAnswer: -2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*m + 311 = 374 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cdccdcccccc?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*s + 18, -s + q = -3*q - 13. Suppose 2*p + 3*c - 2 = 20, 4*p = s*c. Suppose -5*r = 9*r - 28. Solve 5*g - 4*g + p*t = 10, r*g = -2*t + 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2 (c) 3\/2 (d) -0.3 (e) 4 (f) 0.1 (g) -98542\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9443a3 (base 11) in base 9?\nAnswer: -40157736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -26389?\nAnswer: 26391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-36))\/(4\/(-36))*5 - -30 - 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64834?\nAnswer: 2, 7, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 757.7165 years in centuries?\nAnswer: 7.577165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*f = 31*f - 1526 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67993733 * -3.\nAnswer: -203981199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10806231 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005226097 to six dps.\nAnswer: 0.000523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.4017618 and -2.\nAnswer: -18.8035236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - (26 - (61 - 35)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-60)\/16*(-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 2*s - 30, -5*p - s + 2*s - 30 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 73 + 25*b**2 + 96 + 63*b**2. Is t(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**3 - 2*h**2 + 2. Let y(q) = 5*q**3 + 3*q**2 - 3. Let j be 4 + (4 - 20) + 3. Let g be 19\/(-6) - j\/54. Give g*z(k) - 2*y(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217722 and 71466.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 1768865736?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2874791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 72*m**3 + 19*m**2 + 8*m - 11. Let q(s) = 48*s**3 + 12*s**2 + 5*s - 6. Calculate -8*q(r) + 5*t(r).\nAnswer: -24*r**3 - r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1088) + -1) - (1 + (sqrt(1088) - sqrt(1088)*3)).\nAnswer: -24*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -l + 6, -4*l = 4*n + 34 - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = 5*t - 15, w = -5*t + 15. Suppose w = -0*n + 3*n + 6. Let l be (n - (-7)\/2)\/3. Which is the closest to l? (a) -0.1 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 - 117*y + 555. Let t be f(6). What is the closest to -5 in 0.02, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-124)\/279 + (-22)\/(-9). Suppose 8\/9 + 2\/9*m**s + 8\/9*m = 0. What is m?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2\/4 - 731*f\/4 - 729\/2 = 0.\nAnswer: -729, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1391, -3159, -4927?\nAnswer: -6695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-48) - (-1)\/(-8). Suppose u*i + 5*i - 23 = z, -5*z + 10 = 0. What is the tens digit of i + -2 + 68 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(4 + -6*(sqrt(180) + sqrt(180) + 0 + 5)).\nAnswer: -360*sqrt(5) - 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151 - -151.484. Let y = h + -0.524. Let s be (2\/(-10))\/((-2)\/15). Sort y, -0.3, s.\nAnswer: -0.3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) + (-6)\/(-15). Which is the third smallest value? (a) z (b) 1\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7371 + -50713\/7. Let r = g + -126. Which is the closest to 1? (a) -4 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -5, 22, -2\/5 in increasing order.\nAnswer: -5, -2\/5, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdfwsfi. What is prob of sequence is?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - w + 0)*(-2*w - 2 + 2) - w**2 + 4 - 4 + (2 - 2 + 2)*(-2*w**2 - 2*w**2 + 0*w**2) + 0 + 0 + w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-46)*(-76)\/57?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.21? (a) 3\/7 (b) 28 (c) 19\/146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2619 + 2618.6. What is the fourth biggest value in 2, 2\/7, x, -182?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1350 = 5*m + 390. Let j = 194 - m. Solve l = j*i, 6*l = 2*l - 3*i + 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-3)\/294)\/((-168)\/(-196))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 5*a**4\/8 - 9*a**2 - 5*a. Let w(x) be the first derivative of y(x). Let q(z) = -3*z**2. Give q(w(k)).\nAnswer: -675*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28644 and 2728?\nAnswer: 57288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00528056474 to 6 decimal places.\nAnswer: 0.005281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/10 - (-3)\/5. Suppose -r + 5*f + 4 = 2*r, 5*r + q*f = -18. Let j be (-3)\/(3\/108*r). Round j to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)*(50 + -17). Let b = 44 + -39. Is g at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 4:19 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 5. Let q be v(4). List the prime factors of (0 + q)\/(15\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7678 and -7.7.\nAnswer: -6.9322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89731 - 2*z - 352*z**2 + 2*z - 89731.\nAnswer: -352*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1722 from -3208286186.\nAnswer: -3208284464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 26572*t + 903383. Calculate v(-34).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -2\/1271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -3. Let d(c) = -1360*c**2 - 6*c - 4. Let p be d(z). What is p rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -5*y**3 - 9*y**2\/2 + 11. Let t(l) = 0. What is l?\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353175679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 9 + -2 - (-1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 7*v - 1244 = 2*v - 1218, 3*v = 6 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*n*v*z**2 + 2*a*n*v*z - 395*a*n*z - a*n + 63576*a*v*z**2 - a*v*z - 11*n*v + 180*v*z**2 + 12*v*z wrt z.\nAnswer: -4*a*n*v + 127152*a*v + 360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3\/4 + 231*n**2\/2 + 7587*n\/4 + 8262 = 0. What is n?\nAnswer: -136, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -44 (b) 17 (c) 0 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1, -1656.97?\nAnswer: -1656.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + ((sqrt(5445) + 0)*4 - (5 + sqrt(5445)*2))*4)**2.\nAnswer: -8448*sqrt(5) + 348734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -220 - -223. Which is the smallest value? (a) 6\/11 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {b: 1, u: 3, k: 1, y: 2, n: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 0 + 0)*(4*x - x - x) + 7*x + 5*x**2 - 7*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:24 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3960 and -97\/34320.\nAnswer: 102960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(325)*-1 + -4 + 1.\nAnswer: -3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101107, -101105, -101101, -101095, -101087?\nAnswer: -101077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13045980 is divided by 269.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 9 = 4*m, 111*m - 4*j + 1073 = 562 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/202450 and -28\/911025?\nAnswer: 1822050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 268 = 3*b, -b + 2*q + 88 = 4*q. Calculate the greatest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*y**5 - 42*y**4 + 24*y**3 + 42*y**2 - 9*y = 0. What is y?\nAnswer: -3, -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1 - 7 = 0. Suppose -3*w + 29 = -k*w. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1372\/12)\/(-7) + 319\/(-87).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 15*r - 50*r - 64*r - 47*r + 29*r. Let o(s) = 7*s. Determine o(i(f)).\nAnswer: -819*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 2)*(0*w + 8*w + 2*w) in the form p + g*w and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-100)\/(-126) - (-6)\/(-27). Which is the nearest to -0.1? (a) i (b) 1\/6 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 15*u**2 - u + 21. Let y be w(15). Solve -2*q = 12 - y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-7464\nAnswer: -3732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 at most as big as 99660\/1049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 3 (b) 5 (c) -1145.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*j + 7. Suppose -9*p + 36 = -j*p. Let s be (6\/p)\/(-2) + (-8)\/(-9). Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 23. What is the derivative of -4 + 0*d**2 - b + 0 - d**2 wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((-12)\/(-9))*-1 - -73. Solve 0 = q*y - 91*y + 63 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.75 + -27. Let q = 3.25 + p. Sort -4\/7, 1\/7, q in ascending order.\nAnswer: -4\/7, 1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*(sqrt(3) + 1) + sqrt(27) + 0 + sqrt(27)))**2.\nAnswer: 56*sqrt(3) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-20)*-5*8\/24. Suppose -5*o + t*o + 12 = 0, 3*o = c - 999. What are the prime factors of c?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10799 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 29*q + 3. Let w(n) = 5*n - 1. Let s(y) = 469*y + 57. Let c(g) = s(g) + 5*w(g). Give 3*c(i) - 52*f(i).\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 + -1 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3171764 to 2 decimal places.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 3, g = 5*g + 2*p + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 422380 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/2*(-3 - -2). Suppose -3*q = -4*m - 7*q + 24, -4*q + 18 = -2*m. Sort m, b, 3 in descending order.\nAnswer: 3, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127913923 rounded to 4 decimal places?\nAnswer: 0.1279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 10*p**2 + 7*p + 16. Let l be ((-5)\/2)\/(2\/(-12)). Let q be r(l). Suppose 3*u = q + 83. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23652094.\nAnswer: 2, 269, 43963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/738)\/(40\/65355). Let x = -427543\/82 + 5214. Let d = k + x. Calculate the common denominator of -75\/14 and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90188 divided by -4\nAnswer: -22547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2 + 3 + 4 + -7\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -319 + 1277\/4. Let u = -8 - -18. Let q = -8 + u. Which is the nearest to q? (a) -1\/3 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21638615 - -289252.\nAnswer: -21349363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/644*-84*(-48)\/(-27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -20\/13, 2684, -69, 5 in descending order.\nAnswer: 2684, 5, 3, -1, -20\/13, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-11\/2)*m)\/m*m)**46*(m*m**(-10)*m)\/m**(13\/4) assuming m is positive.\nAnswer: m**(-689\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -37563475 + 535?\nAnswer: -37562940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 903 - 819. What is the smallest common multiple of 9 and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2642 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: Evaluate -5 - (7 + (-6 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 5*g - 4. Let w(u) = u. Suppose 5*n + 17 = -0*s + 2*s, 0 = -4*s - 3*n - 5. Let t(h) = s*m(h) - w(h). Factor t(i).\nAnswer: -(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = 5*d + 5*o, 0 = 3*d - 8*d + 3*o + 385. Calculate the least common multiple of 22\/d + (-276)\/(-14) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 318\/16 - 9\/(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29\/42 - -4\/21. Let g be 4\/(-10) + 16\/65. Let t = -2 - -2.1. What is the second smallest value in l, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 - 172 + 548 - 70*t - 179.\nAnswer: -70*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 8 - 2) + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55242 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916986 a multiple of 1654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*(-6)\/(-4)*4\/18. Suppose -3*g + 18 = 3*g. Suppose g*t - 16 = -4*l + 7*t, t + 10 = h*l. Solve w = -2*w + l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 3*z + 3. Let v be 8\/(-2)*(-1)\/4 + -4. Let g be u(v). Suppose l = -g*l + 232. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 0 + 0*y - 6*y**2 - 1 - 2*y. Let a be 1*(1 - -4)\/(-5). Calculate w(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - -5 - (72 + -50).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/8534484 and 13\/948276.\nAnswer: 8534484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 12:11 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**5\/20 + b**4\/6 - 2*b**3\/3 - 4*b**2 + 177*b. Let f be z(-2). Solve f = d + d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 - (3 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**4 - 343400332*d**3*y**3 + 145*d*y**3 + 2267903*y**3 wrt d?\nAnswer: -12*d**2 - 2060401992*d*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -20. Let k be (-5 - 1)\/(6\/(-3)). Suppose -3*x**2 + 10*x + 3*x**5 - 3*x**3 + k*x**l - 10*x = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -142, -265, -432, -637?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**3 + 2948*y**2 + 3348*y - 5040.\nAnswer: (y + 2)*(y + 420)*(7*y - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n*x**3 + 334*n*x**2 - 5*n - 543*x**3 - 2*x wrt n?\nAnswer: -x**3 + 334*x**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z + 6 = 0. Solve 0 = 4*j + 4, j - 1 + 5 = z*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 833 - 752.8. Is 2 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76873 divided by -83\nAnswer: -76873\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 930 and 3858384.\nAnswer: 19291920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10127*k**4*s**2 + 30*k**2*s**2 + 1033338*s**2 wrt k.\nAnswer: 40508*k**3*s**2 + 60*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55\/132*8*(60\/25)\/4. Which is the third biggest value? (a) p (b) 26\/9 (c) -3\/2 (d) 1\/5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -506, -2005, -4546, -8165, -12898, -18781, -25850, -34141?\nAnswer: -43690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 4, 190, -4, -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:14 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196692604*s**2 - 58114*s - 1288 wrt s?\nAnswer: -393385208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9420 or 9412?\nAnswer: 9412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 4*o + 3. Let v(y) = 2*y**2 - 11*y - 13. Let r(s) = -s**2 + 5*s + 6. Let b(p) = 13*r(p) + 6*v(p). Determine 4*b(q) - h(q).\nAnswer: -3*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6912052 by -1.\nAnswer: -6912052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*k + 4*q + 44, -3*k + 104 = -5*q. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 107.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 3*c**3 + 0*c**3)*(14*c + 19*c + 16*c).\nAnswer: -49*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 5*o**4\/12 - 25*o**3\/2 + 65*o**2 - 7*o - 12. Find u such that c(u) = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.50275 centuries in months?\nAnswer: 43803.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12292 + 13413. Calculate the lowest common multiple of s and 472.\nAnswer: 8968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 45 + 3 - (-9 - 11 - -22).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1900))**2 - sqrt(1900)) + ((sqrt(171) + 1)**2 - sqrt(19)).\nAnswer: 15*sqrt(19) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5 = 4*l - 0, 8 = b + l. Suppose -10*v + 14*v + 16 = 0, -2*z - 4*v = 0. Find the third derivative of -3*c**3 + 4*c**b + 8*c**2 - z*c**3 wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2244*a + 4067*a - 289*a - 3867*a**3 wrt a?\nAnswer: -23202*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:44 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4008*x - 25706*x**4 - 25760*x**4 + 51023*x**4 wrt x.\nAnswer: -5316*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1520\/(-144) + 10 - -1. Let k(t) be the first derivative of -i*t**3 - 1\/12*t**4 - 2\/3*t - 5\/6*t**2 - 9. What is q in k(q) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2\/5 + 15324*s\/5 + 151240 = 0 for s.\nAnswer: -3781, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 1564*l**2 - 33304*l + 394. Give s(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**3 - 1218357*p**2 = 0.\nAnswer: -406119, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1360)\/15 - 4\/(-6). Let u = k - -247. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 202766555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**3\/u*u*u*u)\/u))**(-5\/6)*(u\/(((u\/u**(-1\/6))\/u)\/u))**49 assuming u is positive.\nAnswer: u**(277\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17*1*((-90)\/10)\/45\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -16 - 14. Suppose 18 - 19 = -y. Calculate the remainder when y is divided by (-2)\/w*(4 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -11*d + 611, -5*j = -5*d - 2*j + 257. Calculate the remainder when 10393 is divided by d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-165))\/(1416\/(-3894)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*z + 2*s + 21, 0 = 5*s. Let q = -4 + z. What is the lowest common multiple of 7 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -48. Suppose 5*l + h - 70 = 0. Calculate the greatest common factor of l and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 157 = -5*i - 58, -5*l + 37 = 3*i. Solve -m - 2*u - 3*u = 15, 3*u - i = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2674717*1.\nAnswer: 0.2674717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**4 - 191073*j**2 + 24159*j + 49?\nAnswer: -12*j**2 - 382146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1110100?\nAnswer: -1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3313, -8274, -39733, -101000, -202011, -352702, -563009, -842868?\nAnswer: -1202215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13214637 (base 8) in base 5?\nAnswer: -1224040204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u**1\/u)\/u)\/u)**(-4\/5)*(u*u**(1\/4))**(-10\/7))\/((u*u**(-2\/7))**(-4\/25)\/((u**(-2\/3)*u)\/(((u**(1\/3)\/u)\/u)\/u))) assuming u is positive.\nAnswer: u**(149\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.938632 rounded to two dps?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1808*x + 42039 = 251*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16295 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in 4\/3, -5, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2686006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 815*l - 765*l + 50 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -116.78*-0.07\nAnswer: 8.1746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16591 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-3)*b)\/(b**(-1\/2)*b))**(-36)*(b**(-1\/2)*b)**(-39)*b**(3\/5)*b**(3\/2) assuming b is positive.\nAnswer: b**(-897\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -190, -415, -730, -1135?\nAnswer: -1630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 10:51 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 479, 1062, 1867, 2888, 4119, 5554?\nAnswer: 7187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3144314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - a - 95*a - 136*a.\nAnswer: 3*a**2 - 232*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 290289658*w**5 + 320811113*w wrt w?\nAnswer: 5805793160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/2)\/y*(y**6*y*y*y)\/y*y)\/(y**(2\/3))**(5\/9)*(y**(-7)*y\/((y\/(y**0*y))\/y*y))**(-35) assuming y is positive.\nAnswer: y**(11617\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1202, -1248, -1294, -1340?\nAnswer: -1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(99)*-1)\/sqrt(9) - sqrt(11) - (1 + (sqrt(11) - sqrt(55)\/sqrt(5)))))**2 + 1.\nAnswer: 24*sqrt(11) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652*c - 143*c + 5002961 = 0. Does c = -19655\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 71*t**2 - 3482*t + 25672. Determine y(40).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + ((-60)\/16)\/(-5). Let l = -11 - -10.6. What is the second smallest value in 0.2, l, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2. Let m(z) be the third derivative of -137*z**5\/20 + 634*z**2 - 2. Give m(o(i)).\nAnswer: -10275*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 28*m**2 - 53*m - 206. Let g be u(30). Solve -4*z + 149*w = 146*w + 1, -g*w = -5*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -73.7. Is c at most 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-3))**5)**(-22)\/((p*p*(p\/p**(-2))\/p)\/p**(2\/3)*p**(-8)\/p**6) assuming p is positive.\nAnswer: p**(-1618\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10247 is divided by 770?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10168 is divided by 9437?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 0, 3*f + f = -j. Suppose f = -g + 3*g - 20. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 4*i - 8597 + 8711 = 0 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -6. Let x(u) be the third derivative of u**5\/60 - u**4\/24 + u**3\/6 - 3*u**2. Give x(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 12*v**2 - v + 15. Let z be m(12). Solve -z*o - o = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*y**3 - 28*y**3 - 7*y**3.\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.61 + -0.81. Which is the third smallest value? (a) -5 (b) -0.01 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15590, 15642, 15732, 15860, 16026, 16230, 16472?\n\"Answer: 19*l**2 - 5*l + 15576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.039 * 738\nAnswer: 28.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*d + 69, -u + 15 - 130 = 5*d. Find the common denominator of 1\/11 and d\/(-50)*(-33)\/(-22).\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 511 - 3067\/6. What is the second biggest value in -2\/7, 0.2, r, 16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/((-50)\/48)*6\/16\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18547, -18949, -19349, -19741, -20119, -20477, -20809, -21109?\nAnswer: -21371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(216\/(-81))*5\/(-3). Sort 5, -27, l in descending order.\nAnswer: 5, l, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**3 + 46*l**3 + 25*l**3 + (5 - 8 + 13)*(-9*l**2 - 6*l**3 + 9*l**2) in the form d*l + o + t*l**2 + w*l**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w, 4*w - 134 = s - 16. Let k = -116 - s. Let l = 6 - k. What is the smallest common multiple of 31 and l?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)*n)\/n)\/(n*n*n**(-35)*n)*(n**(-3\/20))**36 assuming n is positive.\nAnswer: n**(131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6149587 to the nearest integer?\nAnswer: 2480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 113 = -3*p + 77, -3*p + 114 = 3*m. Let n = 4 + 0. Suppose -m - 14 = -n*x. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w = 2*s - 38, -s = w - 12. Suppose -4*r = -o - 40, 3*o + 45 = 4*r + 5. What is the least common multiple of r and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25682 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 425982647*j**2 - 69232238*j wrt j.\nAnswer: 851965294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 15 - (-179 + 290 + -51).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w. Let p(z) = -4*z. Let y(o) = -3*a(o) + 2*p(o). Let l(s) = -43*s**2 - 339 + 339. Determine l(y(c)).\nAnswer: -43*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330783 is divided by 1361.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 35\/63)\/(28\/(-882)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 18 = -2*k, 0*k - 2*o = -2*k - 2. Suppose 16 = -4*l - k. Put l, -2, -3 in ascending order.\nAnswer: l, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 9*z**2 - 21*z - 97. What is a(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/39908531 and 1\/161573?\nAnswer: 39908531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d (base 16) in base 13?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5711*s = -5706*s - 20, -x - 3*s + 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -303*x**3 - 22*x**2 + x + 25. Let u(n) = 104*n**3 + 8*n**2 - 9. Give 11*u(j) + 4*v(j).\nAnswer: -68*j**3 + 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 8*m**2 - 14*m - 8. Let s be h(8). Let r be (8\/(-6))\/(-1 + (-112)\/s). Let f(o) = 3*o**2 - 48*o + 29. What is the tens digit of f(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 4*p + 4. What is n(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 26307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**16*l)\/l)\/l**(4\/5))**18)**(-15\/2) assuming l is positive.\nAnswer: l**(-2052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*f - 9 = 0, 5*i = 4*f - 2*f + 21. Suppose 10*n = 5*n + 100. Calculate the smallest common multiple of i and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1101*t + 6350. Calculate p(-6).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110032 + 2?\nAnswer: -110030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22089268 and 3062.\nAnswer: 3062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.249913 millennia to decades.\nAnswer: 924.9913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + -11001011?\nAnswer: -10111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.6 - -5. Let o = w - -0.4. Let g(p) = p**2 + 5*p + 4. Let s be g(-4). Which is the closest to s? (a) o (b) 5\/4 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18621, 18623, 18625?\n\"Answer: 2*p + 18619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -312 - -293.8. Let v = -26.59 - a. What is v rounded to 1 dp?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 + 24*f + 23. Let r(h) = h**2 - 8*h - 8. Let s(i) = -2*m(i) - 7*r(i). Calculate s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20914416, 20914430, 20914442, 20914452, 20914460, 20914466, 20914470?\nAnswer: 20914472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.776 + -0.8. What is k rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -5*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by -42.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1 + sqrt(76) + (-2*(0 + sqrt(76)) + sqrt(76) - sqrt(76)) + -2*sqrt(76)*-1)*5*1*-5)**2.\nAnswer: -5000*sqrt(19) + 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 46 + 8)*(-x + x - 2*x**2).\nAnswer: 134*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1)*(-18)\/(-12). Sort 3, -0.1, z in increasing order.\nAnswer: z, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*m**3 + 146*m**3 - 419*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42328187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 7*m**2 + 8. Let z be l(-7). Let j be 12\/z - (-1 + 1). What is the third biggest value in -1, j, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/7 + 8*j**4\/7 - 10*j**3\/7 + 4*j**2\/7 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 32930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222 - -21432?\nAnswer: 21210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/((-16)\/(-6)). Let j be (-32)\/(-15) + 8\/12 + -3. Sort 0.2, j, m in decreasing order.\nAnswer: 0.2, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7530826?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*a - 472257 + 472523 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 10*f - 11. Let z be n(9). Let d = 2 - z. Suppose 4*a - d*b - 304 = a, 0 = -3*a - 4*b + 296. What is a rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, 0, 228 in increasing order.\nAnswer: -4, 0, 14, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 1691 = 112*s - 3227 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (1*((sqrt(200) - -1*sqrt(200)) + sqrt(200)) - sqrt(200)) - sqrt(200))**2*-2.\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 7:50 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10705343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 5*n + 1. Let w be a(4). Suppose 0 = 4*j - 9*j + 35. Suppose 13 = 5*g - j. Solve -2*m - 4*s + 6*s = -g, -w*s - 15 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.123*-3.4\nAnswer: 0.4182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.3 - -1.3. Let s = -5.5 - m. Suppose -4 = o + 3*o. Which is the second smallest value? (a) o (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 80 - -3?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50133 + -5015?\nAnswer: 41114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*l**4\/7 + 1971*l**3 - 41301*l**2\/7 + 41271*l\/7 - 13752\/7.\nAnswer: -3*(l - 1)**3*(5*l - 4584)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k + 14. Let a be b(4). Let d be (2827\/22)\/(a\/(-4)). Find u such that -3*u**4 - d + 0*u**4 + 17*u**2 + 263 + u**3 + 19*u = 0.\nAnswer: -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3304*x**2 + 580110*x - 580110*x.\nAnswer: 3304*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275721 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = 7*n - 8*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -5.9. Suppose 4*j - 4*y + y + 30 = 0, -2*j - 24 = 3*y. Let v = 13 + j. Which is the closest to h? (a) v (b) -0.4 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 + 519. Is 38 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**3 + 2*v**3 + 2*v**3)*(7*v**2 - 2*v**2 - 3*v**2 + (0*v - 3*v + v)*(-2 + 2 - 2*v) + 0*v + 0*v + 2*v**2)*(28 - 17 - 18).\nAnswer: 56*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-5)\/20)\/((-1)\/(-2)). Solve 0*u - 3*u + 9 = a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**2\/2 - f + 1. Let t(s) = -7*s - 11. Let n(m) = 4*m + 6. Let q(u) = -5*n(u) - 3*t(u). Let o be q(0). Give z(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-20)*4\/(-3). Suppose -s*l + 14 = -0*t + t, 4*l = -5*t + 26. Let y(j) = -j**3 - 6*j**2 - 8*j - 7. Let v be y(-5). Solve -l*z - v = -6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, q: 4, l: 1}. What is prob of sequence qwlw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 14*r**2 + r - 9. Suppose -9*w - 18*w = -378. Give y(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = 3*j + o, -515 - 89 = -5*j + 2*o. Let g = -688 - j. What are the prime factors of g\/(-6) - (-7)\/21?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(1584))**2 + 3*(0 + sqrt(11))) - ((sqrt(6336)*4)**2 + 0).\nAnswer: -96624 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30323 + 320333?\nAnswer: 230010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 6. Let v be y(5). Let p(l) be the third derivative of -l**4\/12 - l**3\/3 + 40*l**2. What is p(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 331.6256.\nAnswer: 1989.7536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -360, -361, -362, -363, -364?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1 - 2*j - 2*j - 45*j**2 + 46*j**2 - j**3 + 8*j. Let s be x(3). Is -35\/6 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i + 318 = 158. Let b(l) = 3*l - 9. Let z(x) = -2*x + 8. Give i*b(w) + 6*z(w).\nAnswer: 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -1976 - 1441. Let z be (-720)\/(-112) - (-80)\/(-56). Suppose -k + 892 = z*o, 0 = -2*k + 4*o + 603 + y. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**2\/2 - 1139. Let a(v) = -2*v - 2. Determine a(y) + 6*l(y).\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 1, m: 1}. Give prob of sequence dm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 171. Let h(k) = 28122*k**2. What is t(h(b))?\nAnswer: -56244*b**2 - 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + -1*sqrt(1694) + sqrt(1694))\/(5*sqrt(14)\/sqrt(7) + sqrt(2)) + ((1 + sqrt(112) + 1)*3)**2*-2.\nAnswer: -2088 - 1727*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 - -1 - 260\/56 and -61\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thh when three letters picked without replacement from ythhanynhayc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -68. Suppose -99 = -5*u - l. Let n = 19 + u. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 2373*b**2 + 4*b - 3*b + 2148*b**2 as i*b + y*b**2 + v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -13. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1682*t + 20936. Determine o(-13).\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 2*y + 2*y**2 + 0*y**2 + (-2*y**2 + y**2 + 2*y**2)*(0 - 2 + 4))*(y**2 + y - y).\nAnswer: 3*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = d - 2*d, -3*t + 2*d = 0. Let u = 2 + 1. Suppose -4*l + u*j = 4, t*l = 5*l - 5*j + 10. Solve -2*w = l*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 163 (b) 194 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 264 - 252 = 0. Let h = -31.2 + 31. What is the biggest value in h, -2\/119, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148451 is divided by 1558?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 615 = 7*l + 32*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 20 = 0. Suppose -5*u + 2*u + 13 = 5*s, 2*u + 4*s - m = 0. Let b = 8 + -13. Sort u, b, -2 in ascending order.\nAnswer: b, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8389, -13927 in decreasing order.\nAnswer: 2, -8389, -13927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 461, 521, 581, 641, 701?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 5*d + 2. Let r be 252\/27 + 4\/(-3). Let g(j) = 3 - r + 6*j + 1 - 2. Let w be g(2). What is k(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*r - 4*p, -r + 2*p - 114 = 119 - 229 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.849745 milliseconds?\nAnswer: 0.004849745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -12) + -2 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) - 1*(sqrt(3) + -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 23565.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose -3*m = 4*l + 2*m + 45, 4*l + 35 = -y*m. Let z = -22 - -19. What is the smallest value in z, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 314 - 311. Let j(m) = 4*m - 17 - o*m + 5. Let p(x) = x**2. Give j(p(n)).\nAnswer: n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 7. Calculate the remainder when (4 + 2 - 5)*-113*-2 is divided by n(15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:49 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 14. Which is the third smallest value? (a) -0.3 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**3 + 6*o**2 + 3*o**3 + o**2 + 5*o + o**4 - 5*o**2 as c*o**3 + a*o**4 + t*o**2 + p + n*o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59635 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 15939*u**2 - 63819*u - 79755.\nAnswer: 3*(u - 5)*(u + 1)*(u + 5317)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(1872) + sqrt(1872).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6993 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1341986466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/4 - 3\/(-12). Let a(o) = -o**2 + 3*o - 8. Let k(l) = -2*l**2 + 3*l - 8. Let j(h) = 3*a(h) - 2*k(h). Is 5 a factor of j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40259844 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4510?\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6211 and -40138.\nAnswer: -33927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence latt when four letters picked without replacement from {a: 1, l: 7, y: 1, t: 2, j: 5}.\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b91 + 7?\nAnswer: b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**2 + 2. Let t = -22 + 27. Let v(j) = 15*j**2 - 5. Let a(g) = t*f(g) + 2*v(g). Let u(p) = -p. Determine u(a(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6)*2)\/(6\/96). Suppose 4*h + 13 = 2*l + 5, 4*l - w = -2*h. Solve 3*n - 9 = -h*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpkkpppppkkp. What is prob of picking 2 k?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69368 and 5800.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279*(-4)\/126*(-3)\/24*-84.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.151 (b) 0.53448 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from tpqqnwnqqssqnsn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1275)\/sqrt(3)*-1.\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*z**2 - z - z - 211*z**2 + 2*z.\nAnswer: -268*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -68. Let h = x - -32.34. Let n = -0.6599685 - h. Round n to 6 decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10010 + -10018. Let j(w) = 2*w - 4*w + w**3 - 3 - 5*w + 7*w**2. What is j(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u - 30. Give f(-12).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 + -5) - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.7 - 13. Let g = -20.3 - -18. Let k = x - g. Which is the second smallest value? (a) -4\/5 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -139, -465, -1099, -2143, -3699, -5869, -8755?\nAnswer: -12459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millimeter in micrometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + 46. Suppose 5*g - 2*r + 171 = 0, -2*g + 9*r = 4*r + 60. Let k = s + g. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34, 39, 52, 79, 126, 199, 304, 447?\n\"Answer: j**3 - 2*j**2 + 4*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10642 (base 9) to base 2.\nAnswer: 1101110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 2\/5, 1952, -1\/2176?\nAnswer: 1952","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-12) - (1 + (-3)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*n + 1364 - 391 = 33*n. Let u(h) = h**2 + 13*h - 2. What is u(n)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43071777?\nAnswer: 3, 7, 227893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 5*o + 7086 - 7046, 0 = 5*o + 10 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 49587.85708 to the nearest one hundred.\nAnswer: 49600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-247)\/(-52) - (-2)\/8. Let f(j) = -j**2 + j + 4. Let b be f(0). Let q(l) = l**3 + b - 5*l**2 + 0 + 0*l**2. Give q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 316.4, 0.3, 5, -1\/2, 4, 1\/2 in descending order.\nAnswer: 316.4, 5, 4, 1\/2, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**42*b)\/b)\/b*b**(-41) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -270 + 328. What is the remainder when (46\/10 - 5)\/(1\/(-570)) is divided by g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/9185 and 56\/5057595.\nAnswer: 55633545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7243 - 3168*m - 7243 + (2 + 1 - 2)*(-6*m + 3*m - m) in the form h*m + f and give h.\nAnswer: -3172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -449844215*w**2 + 828853288 wrt w?\nAnswer: -899688430*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxupuuppuupu. What is prob of sequence xuu?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9, -8, -3, 12, 43, 96, 177?\n\"Answer: r**3 - 4*r**2 + 6*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-224)*4*(-8)\/(-2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -67?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v + 37. Let a(c) = -2*c**2 + 9*c + 67. Let i be a(8). Let q be k(i). Solve -4*j + 32 = -q*o, 0 = -3*o - 5*j + 6*j - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.19414 and -107059614?\nAnswer: 107059614.19414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(6\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/25)\/((-6)\/(-20)). Solve -2*p + 3*f = 0, s*p - 2*f - 1 = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z**3 + 4*z**3 - 2*z**2 + 4*z**3 - 7 + 3*z**3 as s*z + j + u*z**2 + g*z**3 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = a - 16, 109 = 5*a - 4*z. Suppose -r + 4*r + a = 2*j, 2 = -j - r. Find the common denominator of j\/9 - (-386)\/84 and -11\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7399 + -103633\/14. What is the common denominator of 97\/36 and p?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.42 plus -20624?\nAnswer: -20630.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1241 + 1241 + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10637 is divided by 333.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*p**2*s**3 + 2*p**2*x - 56*p*x - 99*s**3*x - s**2 wrt s?\nAnswer: 36*p**2 - 594*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 701 + -21. Let r = j + -410. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 488060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2406, -9451, -21140, -37473, -58450, -84071, -114336?\nAnswer: -149245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6487549 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6573 = 4*x - 25*x. Let l = x - 214. What is the greatest common factor of l and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 7*n + 4. Let o be m(6). Let j be (-7 + 0)*(o + 1). Solve -15 = 2*u - j*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750015852 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 336*j**2 + 6*j - 1021. Calculate g(168).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3369716.1 seconds to hours.\nAnswer: 936.03225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*4\/30)\/((1\/1)\/((-910)\/(-28)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 64 = 56. Let q be 7 + u + -7 + 4. Solve q = 5*b - 13*b - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a - 2. Let c(b) = 3*b + 4. Let m(p) = p + 1. Let k(n) = -c(n) + 5*m(n). Let x(j) = -8*k(j) - 3*l(j). List the prime factors of x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/24)\/(10\/(-12)) + (-75)\/108?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 753 + -755. Let n = 1134 + -9087\/8. Let t = n - j. Which is the third smallest value? (a) -1 (b) -2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -1\/3 (c) 7809\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 9*5\/(-30)*-794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*u + 835 = 0, u = -3*o + 117 + 713. List the prime factors of o.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w + 6*w - 22*w + 14*w. Let l(v) = 481*v**2. Determine y(l(k)).\nAnswer: -3367*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 3, 2, 60 in increasing order.\nAnswer: 2, 3, 45, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njr when three letters picked without replacement from nnnhjrr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 9*m - 17. Let u be z(-4). Suppose -d = -u*w - 17, w + 4*w = -4*d. What is the lowest common multiple of 1 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 5*s**2 - 11*s + 11. Let t(a) be the second derivative of a**5\/20 + a**4\/6 + 2*a**3\/3 - 2*a**2 - 2763*a. What is 4*j(w) + 11*t(w)?\nAnswer: 3*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1389 bigger than -212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 = 3*g, 3*p + 6 = 2*g - 1. Suppose 0 = 2*t + g*t. Suppose -3 = -l - t. Solve l*s - 2 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**3 + 399*c**2 + 1170*c = 0.\nAnswer: -130, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/2 - 426*n - 90738 = 0.\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16745 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 9490 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Let m = u - -0.5. Let r(s) = -s**3 - 2*s**2 - 21*s - 42. Let b be r(-2). What is the closest to 1 in b, -1\/3, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 1) + (1 - -4). Let w(d) = 2 - 2*d**2 + 2*d**3 + d**n - 2*d**3 - d. Let q be w(2). Solve 0 = -q*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1072 - 8 = 4*x. Let a = 530 + x. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 5*m**2 + 3*m - 16. Calculate z(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 61 = 2*v - 28, -2*v - 4*t + 82 = 0. Let b = 47 - v. Let g(d) = -d**2 - 11*d - 10. Let w be g(-9). Solve -w = -b*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t - 1. Let c(z) = 3*z**2 - 2*z - 3. Let i(j) = -c(j) + 2*f(j). Let q(a) = 2*a**3 + 9*a**2 - 10. Give 18*i(m) + 2*q(m).\nAnswer: 4*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.3 - 7.3001132. What is t rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212575 is divided by 1181?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1112)\/32 - -19)*24\/(-18) is divided by (4\/(-6))\/((-6)\/99).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 7) to base 8\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2631 is divided by 219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -34*k - 6. Let f(l) be the first derivative of -l**2\/2 + 241. Determine f(h(i)).\nAnswer: 34*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 23*k**2 + 31*k - 152. Let m be s(24). Let r(i) be the second derivative of -m*i + 1\/18*i**4 + 0*i**2 + 1\/120*i**5 + 0 + 0*i**3. Factor r(z).\nAnswer: z**2*(z + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + 1*sqrt(832))\/(4*-2*sqrt(4) - sqrt(4)))**2.\nAnswer: 325\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -7.59. Let m = -0.01 + c. Let t = 0.09 + 1.91. Sort t, m, -1\/5 in increasing order.\nAnswer: -1\/5, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12272.459293 + 12144.4592. Let w = 2 + -130. Let z = w - n. What is z rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 134?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjg when three letters picked without replacement from glegmegjjjmemmwjj.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -9 - 16. Suppose -3*z = -0*r + 2*r + 4, -5*r - o*z = 0. Suppose 0 = 5*w, -r*w - 85 = -u - 4*u. Calculate the remainder when 33 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202374896041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 11*j**2 - 13*j - 18. Let k be l(-12). Let s(q) = -q**2 - 11*q - 6. List the prime factors of s(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.3616 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1 - -2) + (-388)\/8)*-4 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -771 - -775. Solve -g*y - 19 = -7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/50)\/(33956\/1560 + -22)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028683 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*j**2 + 4*j**2 + 4*j**2 + 26*j**2 to the form u + d*j**2 + b*j and give d.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9192.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 989993089 to the nearest integer?\nAnswer: 31464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7\/4)\/q**(3\/4)*(q*q**(2\/13)*q)**(-4\/21) assuming q is positive.\nAnswer: q**(-227\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1270, -2519, -3784, -5071, -6386, -7735?\n\"Answer: -k**3 - 2*k**2 - 1236*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2. Let k be -12*(3 + 11\/(-3)). Suppose -k = 2*w - 3*d, -5*d = -w - 12 - 6. Let t(r) = -29 - w*r + 29. Determine t(p(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2118, -4215, -6310, -8403?\n\"Answer: l**2 - 2100*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177801 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3736465 and 5210?\nAnswer: 3893396530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37297960331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**3 - 15*a**3 + 32*a**3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*q - 6. Let r(n) = n**q - n**2 + n**2. Let p(o) = 3*o + 3. Let c(l) = l**2 - 2*l - 2. Let y(j) = 3*c(j) + 2*p(j). What is y(r(s))?\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -303 + -4?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1182 and -26\/7?\nAnswer: 8274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 597.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/3 + 128*j\/3 - 665\/3 = 0.\nAnswer: -133, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 3, 37, -2.\nAnswer: -35, -2, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8436*v**2 - 3*v + 2. Is y(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 76 + 369 = -5*j, -4*h + 281 = -3*j. Let l = j - -96. Suppose 0 = l*y - 6*y + 10. Calculate the least common multiple of 6 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31 and 42.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.4 + 3.4. Let q = 131\/1233 + 2\/411. What is the biggest value in q, -5, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25562812.7 - 25563045.699723. Let j = 222 + 11. Let t = w + j. Round t to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08783223 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14497348*u**4 + 8612025*u - 1 wrt u?\nAnswer: -173968176*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.14 + 17.21. Sort a, -0.5, 23.\nAnswer: -0.5, a, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2721 - 2717.5. Is j at most as big as 3.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w**1)\/w)*w)**(-15))**(33\/4)\/((w**(-5)\/w)\/(w\/(w**7*w)))**(-1\/26) assuming w is positive.\nAnswer: w**(-6433\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 15*g**2 - g - 5. Let f be h(-15). Calculate the greatest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, d: 12, k: 3}. Give prob of picking 2 i, 1 k, and 1 d.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 126807 - -6685?\nAnswer: 133492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-29)\/(-15) - (-10)\/150. Let r = -33 + 50. Let q = r + -25. Which is the third smallest value? (a) w (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*g, 0 = -4*u + u + 2*g + 150. Suppose -u = -5*z + 8. What are the prime factors of 0 + 2 + (z - 0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 1 + 11. Let z be -54 + 49 - 8\/(-2). What is the nearest to -2\/3 in m, z, 2\/19?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27219 - 13628. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 3019110*z.\nAnswer: 5*z*(z + 603822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Suppose 0 = -v + 2*v. Let h = v - 3. Is h less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*v = -0*v + 22, -3*v + 3 = 0. Let k be 2 - 1\/(-3)*-2. What is the closest to 0 in p, k, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -330.63, -2\/3, -2\/11, 0.2, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + -6*(sqrt(133) + 2*sqrt(133) + sqrt(133)))\/(sqrt(252)*-2).\nAnswer: 23*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -895a?\nAnswer: 8960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1966, 1166, 366, -434?\n\"Answer: -800*d + 2766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 534954.6mm?\nAnswer: 534954600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 - (-17 - -15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 488534 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -6855, 4\/7, -11 in descending order.\nAnswer: 4\/7, -2, -3, -11, -6855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000309152 to 7 dps.\nAnswer: 0.0000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5165 - 4954. What is the highest common divisor of d and 12027?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66026 is divided by 186.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 71518 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/4 + 249*v**2\/4 - 843*v\/2 - 484 = 0. Calculate v.\nAnswer: -1, 8, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.2 + 13.1999722. Round g to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oospssopos. Give prob of sequence sos.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*d**2 + 1383 - 1413 + 102*d**2 - 72*d**2 - 108*d**2.\nAnswer: -352*d**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + 55*j**2 - 23*j - 98. Give d(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Let b be r(1). Suppose b = 3*n + 8 - 14. Suppose q + 2*g - 30 = 0, n*g + 109 = 4*q - g. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 3)*(-6*c + 3 - 69 + 32).\nAnswer: 24*c + 136","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/7 - 2*s**3 + 2*s**2 + 30*s\/7.\nAnswer: 2*s*(s - 5)*(s - 3)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2 + -2)*2. Let n be l + 1 + (-4)\/(-2). Suppose -f = n*f - 3. Solve 2*y - f = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 6)*(-4*w**2 + 3*w**2 - 2*w**2)*(15 + 22 + 0) to the form g*w**2 + b + l*w and give g.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2*h + 2*h)*(1 + 0 + 1)*(1 + 3*h - 1 + (-1 + 2 + 1)*(-6*h + 3*h + 2*h) + 30*h + 15*h + h) to q + g*h + m*h**2 and give m.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3743*p - 10*p - 315439 = 67*p - 91813 for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 2. Let u be o(2). Suppose 4*m - 4*f = 888, -4*f = m + u*m - 666. Suppose -h + z + 80 = 0, z - 4*z + m = 3*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:13 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 - 1384*f**4 - 69276*f**3 + 76216*f**2 + 277168*f - 282720 = 0. Calculate f.\nAnswer: -285, -62, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2820 and 150.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*j**4 + 287*c**2*j**3 + c**2*j + 307*c**2 wrt j.\nAnswer: -12*c**2*j**2 + 1722*c**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -132\/31 (b) -0.1 (c) -3 (d) -12011 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75136513\/80046 + -1\/80046. Let x = i + -938. Solve 2\/5*g**2 - 8\/15*g**4 + 2\/15 - x*g + 2\/3*g**3 = 0 for g.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1483 = 4*b - 23965. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 595 = 2*j, -3*x + 181 = -5*j - 195. Let b = -73 + x. What is the common denominator of 61\/16 and 2\/b*8 + 4?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 12 = -2*k, 2*k + 2*m - 7*m = -26. Find the common denominator of ((-170)\/(-45))\/(k\/30) and (2\/33)\/((484\/99)\/11).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/22 + 1 + 0.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -h + 5912, -28*w + 26*w = 5*h - 29648. Is h a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108565411?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5259.\nAnswer: 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*p - 22 = 0, 3*x - 4 = -4*p + 62. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1083198340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 - 103. Suppose 3*i - 21 = h. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 33522805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(216)\/sqrt(12))**2 - sqrt(2)) + 1.\nAnswer: -sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 18, 42, 76, 120, 174, 238?\n\"Answer: 5*k**2 - k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 6. Let l(s) = -5*s**2 + 21*s - 24. Let v(d) = -d**2 + 4*d - 5. Let k(r) = -2*l(r) + 11*v(r). Let f(u) = 2*k(u) - 3*n(u). What is h in f(h) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57052342 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 5*i**2 - 7*i + 9. Let u be m(6). Let g(n) = n + 4. Calculate g(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**5\/60 + 87*v**2 + 2*v. Let k(r) = 1116*r**2. What is n(k(x))?\nAnswer: -1245456*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2916134ml to litres.\nAnswer: 0.0002916134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b - 81\/4*b**2 - 99\/8*b**3 + 0 + 1\/8*b**5 - 3\/2*b**4.\nAnswer: b**2*(b - 18)*(b + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1429*y**2 - 27*y - 584*y + 11 - 27 - 1432*y**2 - 2*y**3 + 15 in the form x*y**2 + z + m*y**3 + r*y and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -729 (b) -0.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445259.9 hours in weeks?\nAnswer: 8602.7375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 85792.\nAnswer: -17\/42896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -430304?\nAnswer: -430254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - m - 1127106 - 4313967 = 0, 3*m - 9068483 = -5*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11 - -320) + (-1 - 0)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*o = 6*o + 12, -2*y - 21 = 5*o. Suppose -2*d + 5*v - 14 = v, -y*d + 3*v - 9 = 0. Solve -5*u + d*u = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 6*v**2 + 6*v - 1. Suppose 25 = 4*s + t, 0 = 2*t - 6 - 4. Let l = -12 + s. What is a(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 264891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -13*z**3 - z**2 - 2*z - 2. Suppose 3*j + 33 = 3*r, 5*r - 4*j - 38 = 2*r. Suppose -r = 4*a + 2. Does 34 divide x(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -2935\/1048?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5202 divided by 6.\nAnswer: -867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 5 - 4 + 0 - v**2. Let u(f) = -3*f**2 - 4. Let d(r) = -4*t(r) - u(r). Let l(q) = -2*q. Calculate d(l(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l - 3. Let k be o(2). Let s be (-8)\/(-28) + (-4)\/(-14). Let j = -5\/14 - 1\/7. Which is the closest to 1? (a) s (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 3*n**2 + 51*n + 45.\nAnswer: -3*(n - 5)*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3090*b - 1642*b + 2082*b + 1390*b.\nAnswer: 4920*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(sqrt(1088) + 1)*4 + 5 + -6*(sqrt(1088) + 1) + -2.\nAnswer: 5 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*g = -3910 + 1068. Calculate the remainder when 4435 is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**5\/10 - 35*h**4\/24 - 4*h**3 - 8*h**2 - 7*h. Let k be s(-5). Put -21, -0.4, k in decreasing order.\nAnswer: k, -0.4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 4 + 2)*(-3 + 3 + 2) + 11 - 6 + 6 + 11)*(-493*t**4 + 5851*t - 5851*t) to h + r*t**2 + y*t + b*t**4 + j*t**3 and give b.\nAnswer: -9860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 + 339\/(-36) + (5 - 2) and 23\/142.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-33) - (-41796)\/22. What is f rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3*u*y**3 - 7*p**3*y**2 + p*u*y**3 + 19*p*y**3 + 16*u*y**3 with respect to u.\nAnswer: p**3*y**3 + p*y**3 + 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 728 = 4*j + 4*b, b - 6*b = 3*j - 546. Let k = 188 - j. What is the smallest common multiple of k and 3 + 0 + (-1 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10)*(-55)\/22. Put 2, f, -4 in descending order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 1, o: 5, n: 3, r: 2, d: 1}. What is prob of sequence doo?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/20 + 2\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + -72 - (-11 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66672 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 287 + -184. Let h = 217 - a. What is the remainder when h is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 120022?\nAnswer: -120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 9*l**2 + 9*l + 7. Let p be i(8). Calculate the highest common factor of 105 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55762000 to the nearest one million.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, f: 4, v: 4}. Give prob of picking 1 v and 1 f.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -22755104 at most -295816368\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 + -78. Suppose -45 = -w*l + 9. Solve -4*n = -6 - l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 31. Let h = 866 - 861.105. Let p = 0.105 + h. Which is the fourth biggest value? (a) 0.5 (b) q (c) -12 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-3) - 2\/(-6). Suppose -7*l - 7 = -14*l. Sort -5, p, l.\nAnswer: -5, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 - 208. Let d(z) be the third derivative of -1\/120*z**6 - 1\/8*z**4 - 1\/30*z**5 + 5*z**2 + 0 + 0*z + f*z**3. Calculate d(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816252161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51837?\nAnswer: 3, 37, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*i - 280 = 65*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**5\/180 - 2*l**4\/9 + 32*l**3\/9 - 67*l**2\/2 + 66. Let a(t) be the second derivative of w(t). Let a(z) = 0. What is z?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1309*m**2 + 449*m**2 + 6*m - 6*m)*(18*m**3 + m**3 - 5*m**3).\nAnswer: -12040*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -133215?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18043863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 16025*h - 705171. What is j(44)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111436493*s*v**2 + 410771*v**2 - 3 with respect to s.\nAnswer: 111436493*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4488145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2*x + 8 = 0, -10 + 5 = 4*v + 7*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 130918 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*s**2 + 4*s**2 + 0 in the form q*s + b*s**2 + y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53210 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: What is the closest to -1 in 1\/3, -0.051, 8\/19, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24515.\nAnswer: 5, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 0, -36, -110, -234, -420, -680?\n\"Answer: -2*w**3 - w**2 + 7*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 4. Let k(g) = 2*g**3 - g**2 + g. Determine k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f*f**(1\/2)\/f)**(3\/25)\/((f**(-3))**(4\/13))**(-27) assuming f is positive.\nAnswer: f**(-16109\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29940529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*(0 - 2\/7). Let k be 56\/1 + (1 - 3) + 0. Let r = -54 + k. Solve 3*h = 2*d - 23, -2*d = -r*d + 2*h + p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(6\/9)*(14160\/1003)\/24?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68419 and 2344771?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.244 - 0.144. What is the fourth smallest value in 1\/2, 0.2, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h + 3 = -3*z, -4*z + 5*h + 15 = 0. Suppose -y = 3*a + 177 - 867, -3*y = z. Calculate the highest common factor of a and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405)*-1 - sqrt(405))*6 - (sqrt(405) - (sqrt(405) + (sqrt(405) - (sqrt(405) + sqrt(405) + 1)))*-2))*-6)**2.\nAnswer: -16848*sqrt(5) + 2464164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 2 + 896*u - 895*u + 3 + 5 + 1. Calculate p(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594657213 minus -4?\nAnswer: 594657217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29553.\nAnswer: 3, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = u + 22, 5*g = -21848*u + 21843*u - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3499, -7011, -10525, -14041, -17559?\n\"Answer: -l**2 - 3509*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 81 times 896\nAnswer: 72576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9698539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10768 is divided by 229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-472515.\nAnswer: 141754.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*i**3 - 9540*i**2 + 4772*i = 0. What is i?\nAnswer: -1193, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*x + 23. Is x <= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - 34. Let f be (-22)\/198 + 100\/9. What is the tens digit of g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10 + (-183)\/2)*553\/2212.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(8\/6)\/(18\/27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, -151, -545, -1157, -1987?\n\"Answer: -109*x**2 + 151*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x + 10. Let r be v(5). Solve -3*s = r - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffdfdfff. Give prob of picking 2 d.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2108, -2248, -2388?\n\"Answer: -140*o - 1968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(15\/(-12))\/((-4950)\/2160).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3632 - -5888. Suppose 0 = 4*s - 2264 + t. Which is the nearest to -1\/3? (a) s (b) -0.2 (c) 0.1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k = -1983 + 2178 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 3, j: 5}. What is prob of picking 1 j and 1 k?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 + 7*j + 4. Let d be g(-8). Suppose -3*t - d = 194. What is the common denominator of (t\/(-12) - 0)\/1 and -59\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -110110001000001111100010?\nAnswer: -110110001000001111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1914256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 + 3*p**2 - 4*p - 7. Calculate a(-3).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48.6? (a) 131\/15 (b) -1\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-21)*(-11 + 2) + -14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 9812*s + 39184.\nAnswer: 4*(s - 2449)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 4*l + l - 2)*(1054 + 670 + 572 + 487) as b + u*l and give u.\nAnswer: -5566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k - 9. Calculate f(6).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + (sqrt(1100) - sqrt(1100)*-1) - sqrt(1100))**2*2 - (4*(sqrt(1100) + -3*sqrt(1100) + 0 - sqrt(1100)))**2) + 4.\nAnswer: -156197 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81716 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 + -1252. Is 1 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-5))\/(3\/(-15)). Suppose 3*z - v*w = -5*w + 17, -30 = -5*z - 2*w. Is 196*2*z\/16 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktsjf. Give prob of picking 1 j, 1 k, and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -65.48.\nAnswer: 327.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193 - -34. Calculate the smallest common multiple of 2 and i.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.30018l to millilitres.\nAnswer: 70300.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-2) + (-21015)\/(-4670).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 8. Let i(z) = -15*z**3 + 2*z**2 - z. Determine i(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*u - 107*u - 108*u - 5718 - 105*u - 101*u.\nAnswer: u - 5718","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7138?\nAnswer: 2, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 5267236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61 + 14?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(114)\/sqrt(3))\/sqrt(2) + ((sqrt(19) + 0)**2 + 4 - sqrt(19)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, -2, 1007 in descending order.\nAnswer: 1007, 5, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 243, -3, 3, 4 in ascending order.\nAnswer: -3, 3, 4, 5, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**6 - 2*n**6 - n**2 + 3*n**2 wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (5 + -4 - 5) - 6 - 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 33. Suppose 2*z - 8*b + 3*b = -8, -2*b = -4. What is the closest to 1\/4 in z, -6, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 6:15 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -9*i - 8, 6*i = i + 5*j - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 1. Let i(j) = -150711*j. Determine t(i(q)).\nAnswer: -150711*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*f = 77, 265 = 5*r - 0*r - 4*f. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 589 = -5*p - z, 5*z = -3*p + 877. What is the remainder when p is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+-0.095773904989046\nAnswer: -0.695773904989046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029993.\nAnswer: 3, 29, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 9:20 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 3, 10, 19, -1, 128 in decreasing order.\nAnswer: 128, 19, 10, 7, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 337 - 337. Let k = 0.01 + 0.07. Is k > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -14\/9, -8, 0.075?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -839*t + 842*t - 2*x + 65 = 0, 3*t - 152 = -5*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.278 - -7.912. Round y to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57480176.\nAnswer: 2, 13, 276347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is -14.03541 rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7171, 14337, 21505, 28675, 35847, 43021?\n\"Answer: c**2 + 7163*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/3580 and -97\/3580.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 9:14 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0824 and -20149.\nAnswer: -20148.9176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 36 = -6. Suppose 5*p + j = -3*v, -3*v - 4 = 3*p + 2. Solve v*d + 2 = 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 6:20 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2814, -11590, -26198, -46632, -72886, -104954?\n\"Answer: b**3 - 2922*b**2 - 17*b + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f + 15 = 0. Let c = -3 + f. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 15) to base 9\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14465679 and -4.\nAnswer: -14465683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 - -135. Suppose -2*i - 5*d + 34 = -0*i, -d = 3*i - 25. Differentiate 12*a**2 + f + i*a**2 - 40 wrt a.\nAnswer: 38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/3 (b) -1\/475 (c) 0.05 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3767.2, -31, 2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*1\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25284165 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 1088 + 544 + 560 = 6*o, 76 = 3*o - 5*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006919 rounded to seven dps?\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 7:43 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 + 427*x**2 + 4408*x - 984266. What is t(213)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9789, 9789, 9787, 9783?\nAnswer: 9777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137852 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 268 + -270. Which is the fourth biggest value? (a) 2\/3 (b) t (c) -0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(-1\/4)*t)))**(-6)\/((t*t\/(t*t**(-12)\/t)*t)\/t**(-2\/5)) assuming t is positive.\nAnswer: t**(-199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 30 = 5*p - g, 0 = 4*p - 2*g + 56. Let j(b) = -4*b + 32. Let f be j(6). Let v = p + f. Put -3, 6, v in increasing order.\nAnswer: v, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) - (sqrt(126)*2*-4 + sqrt(126)))*-3)\/(((sqrt(20)*-1 - sqrt(20))\/sqrt(10) + -4*sqrt(18))*1))**2.\nAnswer: 1296\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1346353586.6 to the nearest 1000000.\nAnswer: 1346000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 529637249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 25 = -5*a, 14*y + 8*a - 137 = 11*a for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000462736 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 38640 = y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 12. Let x(c) = 1. Let u(s) = -p(s) - 5*x(s). Let a be u(-5). Solve -a*d + 1 + 7 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6) - (0 - 9\/2). Let k(q) = -2*q**3 + 10*q**2 + 4*q - 17. Let s be k(c). Suppose 0 = 2*f + 5*m - 9660, -s*m - 4644 = -3*f + 9867. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from {c: 3, q: 9, z: 5, i: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a9a72 (base 11) in base 12?\nAnswer: 270013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.083758798 + 253.\nAnswer: 253.083758798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 3042*o**2 + 17104296*o.\nAnswer: -3*o*(o - 2948)*(o + 1934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 2*t - 4. Let q be (-12)\/10*(-20)\/8. Let l be a(q). Let n(j) = -5*j**2 + 1. Give n(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = h, -2 = -2*a + 3*h + 3. Suppose i - s = 6 + 1, 2*s - 40 = -a*i. What is the remainder when 34 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 28 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137\/12238 - -6\/211. Let f = v + -119\/174. Let h be (2\/(-10))\/(8\/10). Put f, h, 3 in decreasing order.\nAnswer: 3, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -14 - (10 + -4 + -13 + -81 + 11)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/50721283 or 1?\nAnswer: -2\/50721283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43850865?\nAnswer: 3, 5, 59, 49549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i**5*(i**(-1\/3))**(-1\/27))**(-41))**11 assuming i is positive.\nAnswer: i**(-183106\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.27 or 1\/3?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/11, 1502, -4, 5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247608 by -3.\nAnswer: 82536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -f (base 16) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Let q(v) = 2*v - 2. Let o(b) = -b + 2. Let c(a) = -2*o(a) - 3*q(a). What is c(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 4*x - 19. Suppose -d = 2*j - 20 - x, -3*d = -4*j + 73. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23264701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10741073 + 48?\nAnswer: -10741025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -0.06, 0.3, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*z - 38 = 0, -4*a + 14*z = 18*z - 64. Suppose 5*i = -20, 4*j - 4*i - 208 = i. Calculate the remainder when j is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 6. Suppose -2*j = 2*i + 2*i - 2, -4*i - 4*j - 8 = 0. Let b be v(i). Solve 5 = -b*p + x, 4*p + 3*x - 1 + 25 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1223, -2 in decreasing order.\nAnswer: 1223, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11103*l**2 - 11058*l. Let c(p) = 694*p**2 + 691*p. Let f(z) = 2*b(z) + 33*c(z). What is the second derivative of f(q) wrt q?\nAnswer: 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52.92 - 52. Let c = l + -0.9200078. Round c to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53.21979 litres?\nAnswer: 53219.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 9*x + 107.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5164705884105\/74694616 - -869\/405949. Let w = y + -69144. Find the common denominator of 151\/12 and w.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/(21\/(-210)) - -9. Let c be (-14)\/3*6\/(-7). Suppose -5*q - 2193 = -g*b, -c*b = 3*q - 5*q - 2178. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-3)\/4)\/(35\/14).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-20) - (-824)\/40. Let g be ((-3)\/(-2))\/(-2*c\/(-28)). Solve g = -2*k + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 171443673?\nAnswer: -171443665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -2*s - 2, 77*z - 6 = 3*s + 80*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 206 - 205.713. Round z to 2 dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83*t**2 - 329*t + 329*t + (0*t - 3*t + 0*t)*(4*t + 0*t - 5*t) + t**2 - 8*t**2 + 2*t**2 + (0*t + t - 3*t)*(-2*t + 4*t - 4*t).\nAnswer: 85*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 0 - 2*m - 1 + 3*m + m**2. Give j(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 4 + 27 - 107 + 42 + 180*g**2.\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 55\/2. Let h be 2\/5 - 3\/(-30). Let v be -1 + 25\/(-160)*-4. Which is the nearest to h? (a) y (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11703 + 11707. Which is the nearest to 0? (a) r (b) 0.184 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - 11*r**2 + 12*r**2 - 9 - 2*r**3 + (-9 + 9 + 2*r**2)*(-2 + 2 + r).\nAnswer: 3*r**3 + r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + sqrt(475)*2 + sqrt(475))*-2*1 + 1)**2*-4.\nAnswer: -2477284 - 87840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 * 383.\nAnswer: -53.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 62064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-8)\/(-10)))\/((-5)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08787, -3, 8\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g**(-2\/7))\/((g*g*g**(1\/3)*g)\/g*g*g)**(-1))\/((g**(2\/9))**2)**11 assuming g is positive.\nAnswer: g**(-53\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**2 + 176*b + 1930. Let q(y) = -22*y**2 - 352*y - 3858. Let r(k) = -3*q(k) - 7*u(k). Determine s so that r(s) = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 435055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 1. Let f(x) = -5*x - x**2 + 10 + 0*x**2 - 5*x. Is f(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78*90\/(-28665))\/(9\/21).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**6)\/(x\/(x\/x**(-1\/6))))\/(x**(-10)\/x**(-6\/7)) assuming x is positive.\nAnswer: x**(181\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(272) - (0 + sqrt(272))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 7*a + 2 + 0*a.\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2338 - 7610 = -4*j. Suppose 3919 = 5*n + 2*y - 226, 0 = 3*n + 2*y - j. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**3 - 9*r**2 - 6*r - 5. What is the units digit of f(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3078 and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 12*s - 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31477 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -49*v - 50. Let o(c) = 33*c + 33. Let n(h) = -8*o(h) - 5*q(h). What are the prime factors of n(-7)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*v - 2550 + 8178 = -285*v. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -6.7. Let y = -14 - x. Let d = 8 + y. Which is bigger: -0.01 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*b - 23*b + 42510. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163 - 163.3. Let r = 0.13 - -5.87. Let l be (-1)\/3 - (-34)\/12. What is the second biggest value in r, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(144))\/sqrt(12).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -3\/97, 0.1, 0 in descending order.\nAnswer: 0.1, 0, -3\/97, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4538 is divided by 437?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, 263, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -25669450 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101\/1053 + -14749\/285363. Let r = 55715\/1084 + l. Let m = r + -493\/10. Calculate the common denominator of m and -76\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-422926)\/(-28))\/(-17)*(-29 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-803)\/(-572) + 30\/(-24)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.9694613 hours?\nAnswer: 3490060680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7}. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 5*q + 15 = -15, 4*q = 5*u - 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) 4 (b) -3.4 (c) 15 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*h + 31, h + 1 = -4. Let u = 6 + -4. Suppose u*j + 2*j - 20 = 0. Calculate the remainder when j is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2824 - 2824.00011. What is p rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3*y - 539*a**3 + 247*a**2*y**2 wrt y?\nAnswer: a**3 + 494*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etu when three letters picked without replacement from uttettttettettt?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3*t*w**3 - 2*b**3 + 133*b**2*w**2 + 141*b*t*w**3 + 2*b*w**3 wrt t?\nAnswer: -b**3*w**3 + 141*b*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*y = -y + 65, -3*y + 30 = 3*q. Let x = q - 10. Suppose -2*b - 15 = -k, -10 = -b - 3*k - 0. Put b, x, -1 in descending order.\nAnswer: x, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.246 - -0.754. Is b > -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 214, 400, 660?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -2*z**5\/55 - 3*z**4\/22 - 2*z**3\/11 - z**2\/11 + 8. Factor y(o).\nAnswer: -2*o*(o + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 127 + 1. Let i be 3*(-7)\/(u\/(-6)). Suppose -2*l = -i*k - 10, 8 = 2*l - 3*k - 3. Calculate the smallest common multiple of l and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2091067?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 209 + -226. Let i(t) = t**3 + 18*t**2 + 18*t + 18. Give i(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8236 - ab0?\nAnswer: 7346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253621 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 10. Let s(k) = k**2 + 2*k - 3. What is the units digit of s(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + k - 3. Let q be s(3). Let o(t) = -2*t**2 + 25*t - 22. Let u be o(9). Suppose 45 - u = -d. Sort d, q, -2.\nAnswer: q, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 20 + 29)*(5*y**5 - 9*y**5 - 8*y**5).\nAnswer: -732*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -943 and -937 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -11, -4, 1 in increasing order.\nAnswer: -11, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190567045.\nAnswer: 5, 251, 948659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 619, 1349, 2393, 3769, 5495, 7589?\nAnswer: 10069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -277*w**2 + 266. Let q(x) = 55*x**2 - 53. Let i = -76 - -65. Let h(l) = i*q(l) - 2*b(l). Differentiate h(c) wrt c.\nAnswer: -102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23275 by 4655.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26336886.\nAnswer: 2, 3, 23, 139, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**2 - 8*l**2 + 32*l - 9*l**2.\nAnswer: -2*l**2 + 32*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 0.2, 0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46109, 91893, 137677?\n\"Answer: 45784*o + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 470*q**3 + 456*q**3 + 2*q**2 - q + 4*q**2 to the form n*q + z*q**3 + y + t*q**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -7. Suppose -w + 403 - 25 = i. Let t = w - 184. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h**2 + 4*h + 6. Calculate a(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggyggyygyygyyyyyggg. What is prob of picking 2 g and 1 y?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7495 - -7495.84632. What is s rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6724, -27207, -61454, -109465, -171240, -246779?\nAnswer: -336082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802445.3 centuries to years.\nAnswer: 80244530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 3*l + 2. Let v be i(-3). Suppose -v*z + 3*u + 12 = 2*z, 4*u + 16 = 5*z. Let x = -36.6 + 33.6. What is the third smallest value in 0.1, x, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1323 - 3?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4 + 14. Suppose 8*s - 20 = 3*s, 0 = -3*l + 3*s - 6. Calculate the lowest common multiple of h and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 78?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 638024, 1276191, 1914356, 2552519, 3190680, 3828839, 4466996?\n\"Answer: -m**2 + 638170*m - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - y + 4 = 0, 4*y - 2 = -3*k + k. Does 4 divide 0 + k*8*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 120, -0.4, -0.5?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 58, -12, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 102a + 5?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1911, 7668, 17263, 30696, 47967, 69076?\nAnswer: 94023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-150)\/(-9))\/5*6\/4. Let j = 46 - 15. Suppose 0 = 5*l + 6 - j. Solve -5*d = 0, 2*h - t = l*d - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18854 + -6023?\nAnswer: 12831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 - -57. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27395376?\nAnswer: 2, 3, 570737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 11, 948 in increasing order.\nAnswer: -99, 11, 948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, 0, -2, -59, -5 in descending order.\nAnswer: 12, 4, 0, -2, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -315 + 305\/2*s + 5\/2*s**2 = 0.\nAnswer: -63, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2023 + -954. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 151*n**3 - 4*n**2 + 4*n - 1. Let i be u(1). Let h be (1 - i\/(-6))\/((-1)\/9). Find the common denominator of -123\/10 and 1\/8 - h\/4784.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**2\/2 - 2*s + 4. Let x be m(2). What is the remainder when 42 is divided by x\/12*-4*12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/2793 and -53\/3?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 232 - 22*r**2 - 243 - 3*r**2 wrt r?\nAnswer: -50*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 582\/4 - (-18)\/(-12). Suppose 9*u - k = 5*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -835.9688 - -836. Sort 3\/4, r, -3, 4 in decreasing order.\nAnswer: 4, 3\/4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*o = 13 + 5, -2*o + 6 = -2*b. Suppose b*i - 321 = 131. Suppose -5*n - i = -d, -d + 220 = -4*n + n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59863252?\nAnswer: 2, 83, 180311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 0. Let t(q) be the first derivative of -2*q**2 - q - 1. Give t(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6558.86l to millilitres.\nAnswer: 6558860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 24*d - 63. Suppose 2*i + 3*p = i, -22 = -2*i + 5*p. Let s be a(i). Solve 2*h + 6 = -0*t + 5*t, 3*h = -3*t - s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4316, -4305, -4276, -4223, -4140, -4021, -3860?\nAnswer: -3651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*12\/160*1045\/(-627).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - ((7 - 6) + -3)) + 4 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24\/17 in -0.3, 2\/9, 0.11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:21 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 504.1?\nAnswer: 509.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*m**3 + 89*m**2 - 43*m**2 - 3*m**3 - 50*m**2.\nAnswer: 61*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12293 and -0.06.\nAnswer: 737.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15350204 (base 8) to base 4.\nAnswer: -31131002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9202 is divided by 9163?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 21*q - 441\/4*q**2.\nAnswer: -(21*q - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 954? (a) 0.2 (b) -1 (c) 29.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 3.9. Let j = 228.4 + -249. Let o = -21 - j. What is the third smallest value in -1\/7, o, h?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -502575?\nAnswer: -502578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 4602208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16471 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-1\/4)\/c*c))**14)**(-2\/11) assuming c is positive.\nAnswer: c**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*x**4 + 63*x**4 - 166*x**4 + 627 wrt x.\nAnswer: -460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2649252693?\nAnswer: 3, 131, 6741101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1 = -3*z + 2*z, -y = -5*z + 5. Which is the nearest to 0? (a) z (b) -64 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(1 + -161)\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*0\/(-44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 3. Let b be z(7). Let f(a) = -2*a - 4*a**2 + 4*a**2 - b - a**2. What is f(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -377 + 387.49. Let u = 10.48531 - j. What is u rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.97 + -0.07. Let v = f - 0.9. Which is the smallest value? (a) 0.4 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191*n + 55*n - 62*n)*(3*n + 6*n - 3*n)*(-2*n - 1 + 1)*(2*n + n + 2*n).\nAnswer: 11880*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*u - 1)*(-262 - 8*u**2 + 262) to the form h + v*u + l*u**3 + o*u**2 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 18605 = 5*i, 14871 = 4*i + 4*f + f. Suppose -1074 = -d - i. Let z = 13293\/5 + d. Is 9 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 6. Let j be (-1 - 0)\/((-7)\/(-28)). Let x be d(j). Suppose 0 = -2*l - x + 6. Calculate the lowest common multiple of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*s - 29, -4*s - 18 = -0*s - r. What is the second smallest value in -2\/7, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513799877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 70 times -4.455\nAnswer: -311.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*y - 20, 2*d = 3*d + 3*y - 17. Suppose -37*g + d = -33*g. Solve -u + 2 = c, -g*c + 1 = -4*u - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2 + (20 - -32)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*x + 2, -2*r + r + 3*x + 5 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29\/17 - -2\/51. Let f = 0.3 - -0.7. Let y = f - 0.9. Which is the second biggest value? (a) y (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m + 167 + 48 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/117 or 53077?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 12:48 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1. Let q(x) = -x**2 - x + 1. Let t be (0 - -1) + (2 - 1). Suppose -t*v = 3*v - 5. Let f(z) = v*q(z) + 4*o(z). Determine f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1)*(-1 + 2). Let h = 4259 - 4246. Calculate the remainder when 28 + (3 - (5 - o)) is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a**3 + 0 - 2*a**2 + 0*a + 0*a**5 - 1\/48*a**4 + 1\/240*a**6. Factor g(b).\nAnswer: b*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, -5, -3, -448, -1, -4 in descending order.\nAnswer: -1, -3, -4, -5, -141, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 691*d + 947. Is c(54) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2725 = 2*q, 0 = -5*w - 4*q + 12767 + 870. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 2*d**2 + d + 1160. What are the prime factors of b(0)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -534 divided by -41\nAnswer: 534\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a centimeter in micrometers?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjp when three letters picked without replacement from {j: 5, i: 1, g: 2, p: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2384676.6 months to years.\nAnswer: 198723.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2. Let k be (5\/100)\/((-18)\/(-15)). Let g(f) be the third derivative of 0*f**3 + 0 + 0*f + f**2 + k*f**4. Give g(y(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 144 = -2*f, 100 = 4*f + 3*i - 152. Suppose 497 = 3*k - 3*z + 2*z, 3*z + 6 = 0. Calculate the greatest common divisor of f and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 7 - (-40 + 53 - -28)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3823? (a) -0.5 (b) 40.011 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(6 - 1380\/(-9)). Suppose -1194 - d = -8*o. Calculate the greatest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6715, 6711, 6705, 6697, 6687, 6675?\n\"Answer: -r**2 - r + 6717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.3 less than -30.9387576?\nAnswer: -197.2387576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 298 = 60*y, 6*y - 9*u + u + 208 = -4*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 29345*o**3 - 13*o**2 - 3*o - 8. Let q(b) = 9778*b**3 - 5*b**2 - b - 3. Calculate 3*k(f) - 8*q(f).\nAnswer: 9811*f**3 + f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 - 358*i - 1519. What is x(67)?\nAnswer: 1429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 13 = 2*b + 8, 10 = 5*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45.1 + -45. Which is the closest to u? (a) -4 (b) 0.1 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 26*v**2 + v + 22. Give z(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 31*z + 82. Let i be x(28). Suppose -49*y = -30*y - i. Let q be 2 - 2\/(2\/(-23)). What is the highest common divisor of y and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 - -111.315. Let i = p + -3.175. Let l = -29.04 + i. What is l rounded to zero decimal places?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**3 - 9*r**2 - 3*r - 38. List the prime factors of u(8).\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+0.74214\nAnswer: -0.25786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.30731 and -69.\nAnswer: 90.20439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 2:17 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.152*-3\nAnswer: 0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/958 - -68041\/22992. Calculate the common denominator of 133\/18 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4423522 + -220?\nAnswer: -4424142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-3 - 0)*-11. Let l = -68 - -126. Calculate the remainder when l is divided by 17\/1 - (8 - u).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 20 + -10 - 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -742, -920, -846, -430, 418, 1788?\nAnswer: 3770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 - 124. Suppose -12*y + 210 = -v*y. What is the remainder when 312 is divided by y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -6*u - 36. Suppose -18 - 46 = -u*n. Calculate the highest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 5:11 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 248*w**2 + 247*w**2 - 492*w**2. Let y(u) = -u. Let r(m) = 8*m. Let t(c) = -r(c) - 2*y(c). Give t(a(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*2\/8*-10. Let p = -1440.2 + 1440. Sort p, 4, 0.3, q in decreasing order.\nAnswer: 4, 0.3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134 and 2932858.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 18. Let w(s) = 2. Let h be 2\/5 - 8\/(-5). Let u be -3*2*(-1)\/h. Suppose 0 = o + u*o + 72. Determine o*w(d) + 2*r(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a85a (base 16) in base 6?\nAnswer: 2154534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -493.0000745 - -493. What is u rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i**4 + 1\/15*i**5 + 0*i**3 - 2*i - 5*i**2 + 0. Let d(a) = 13*a**2. Determine w(d(q)).\nAnswer: 676*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b + 18. Let y be v(5). Sort y, 2, -1 in ascending order.\nAnswer: y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 5 (c) -14 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/((-11100)\/405 + 0). Let t = 10631\/4070 - n. Which is bigger: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let s(o) = 2*o**2. Let j(d) = -3*d**2. Let p(z) = -5*j(z) - 6*s(z). Determine p(a(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 0. Let x be -2*2 + (-1 - -9). Suppose l = x*p - p + 7, -4*l + 17 = -p. Which is the third biggest value? (a) d (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*v - 21 - 7 = 0, 2*i + 6*v = -62. Let y(a) = a**2 + 15*a - 5. Determine y(i).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 892 and 36.\nAnswer: 8028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -882354.577 and -1816.\nAnswer: -884170.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 36.88*-23156\nAnswer: -853993.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*l = 128*l - 304 + 3996 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 5)*(-10 - 7*h + 10)*(-4 - 5*h - 2 + 1) as c*h**2 + r*h + t and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 2. Let t(i) = -2*i + 5. Let r(u) = -2*t(u) - 5*z(u). Let k(j) = -3*j**2. Determine k(r(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**3 + 21*g**2 - 8*g + 18. Let x be m(5). Solve -q + 4*q = -3*w - 9, -17 = x*q - 5*w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**7\/2520 + z**6\/144 + z**5\/20 + z**4\/6 + 2*z. Let i(a) be the third derivative of r(a). What is the units digit of i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/11)\/(-12)*-22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 30*b - 12. Let s be c(5). Suppose 0*r = -3*r + s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3bfb00 (base 16) to base 10\nAnswer: 3930880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/3922457 and 15\/847.\nAnswer: 3922457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 35*v**2 - 77*v + 211. Calculate the remainder when z(3) is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13665, 3 in increasing order.\nAnswer: 2, 3, 13665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/((-7)\/350). Find the third derivative of x*m**4 - 5*m**2 - 3*m**2 + m**2 - 12*m**2 wrt m.\nAnswer: 600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 299194 and 7455.\nAnswer: 4487910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15724.5 - 15725. What is the nearest to 1 in -123, -14, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Suppose v - 4*v - 3 = t. Is v\/(-2) + 43\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3))\/(d*d\/(d*d**2)))\/(((d\/(d\/((d\/d**0)\/d))*d)\/d)\/d)**(7\/10)*(d**4\/d**(-1\/7))\/(d\/(d*d**(-2\/7)*d)*d*d**(-6)) assuming d is positive.\nAnswer: d**(669\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1561895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 16*q**2. Let p = 18 - 38. Let t(m) = -5*m**2. Let n be 60\/(-90)*9\/1. Let x(c) = n*r(c) + p*t(c). Let h(o) = 7*o**2. Determine h(x(s)).\nAnswer: 112*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*h**2 - 5*h**3 - 116*h**2 + 35*h**2 - 11*h**2 + 3*h.\nAnswer: -5*h**3 - 244*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*p + 193*p + 184*p + 188*p - 720*p.\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3 - 3 - 114163*v**3 - v**2 - 4*v. Let r be l(-3). Suppose -1057596 = -6*n + r. What is n rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**3\/3 - 15*r**2\/2 - 58*r + 646. What is w(16)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17891.82 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = 4*d + 9*k - 21 + 2, -47 - 32 = -4*d + 15*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -375 > -374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/56)\/(498\/2656).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 9. Let y be i(12). Suppose 1336 = 2*v - y*w, v = -0*v + w + 667. Suppose 2*z + 3*z - v = 2*h, 0 = -3*z - h + 388. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 31*z**2 - 10*z - 27. Let n be r(-2). Let q = 214 + -94. Let a = n + q. List the prime factors of a.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**6\/105 - v**4\/21 + v**2\/7 - 3*v - 1. Let c(l) be the first derivative of r(l). Factor c(h).\nAnswer: 2*(h - 1)**2*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -585*s**8\/56 - 136*s**4 + 25*s**2 - 24*s. What is the second derivative of q(z) wrt z?\nAnswer: -70200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 19533.357?\nAnswer: 19533.357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1141 divided by -6.\nAnswer: 1141\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, -11 in descending order.\nAnswer: 11, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2016)\/(-756)*(-6)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8\/5)\/x)**(-2)*x**(1\/8)\/(((x\/(x\/(x\/(x*x**(1\/65)\/x)))*x)\/x)\/x))**(5\/2) assuming x is positive.\nAnswer: x**(2777\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 5*r. Suppose -26 = -4*f + 34. Let y = f + -12. Calculate the lowest common multiple of 2 and q(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -593 (base 11) to base 7\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336, 1296, 2876, 5076, 7896, 11336, 15396?\nAnswer: 20076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7044?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (6 - 4 - 0). Solve -p*n = -0*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 603\/11 + 4\/22. Is (r\/(-5))\/((-1)\/17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 9*g**2 - g + 9. Let q be j(9). Suppose q = -6*o + 242 + 10. Let s be (o - 8)\/(2 + -1). Solve 2*z - 3*k = -0*z + 9, -3*z = 5*k + s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 2\/3*x**3 + 3\/2*x**4 + 0*x**2 + 3 + 6\/5*x**5 + 0*x + 1\/3*x**6. Solve t(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0)\/((36 - 29)\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/182 and -56\/429.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1025 and 492125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkkshskkmkgmkssssi. What is prob of picking 1 m, 1 k, and 2 s?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543160 rounded to the nearest ten thousand?\nAnswer: -1540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + z + 3 + (-4 + 5 + 0)*(z + 2*z - z) - 38*z - 4*z + 2*z - 4*z - 3*z + 5*z + 0*z + z + z + (3 + 3 - 4)*(z + 3*z - 3*z).\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 3 = -5*b. Suppose 6*l - l - 29 = -v, 20 = b*l. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -24. Suppose 3*b - 19 + 1 = m. Let n(q) = q**2 - 4*q - 8. Determine n(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527998?\nAnswer: 2, 41, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Let u be (2 - 4\/2)\/1. Suppose u = 179*x - 186*x - 7. What is the nearest to n in x, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545570155 to the nearest integer?\nAnswer: 23357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210000212100 (base 3) to base 16.\nAnswer: 65115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((180\/84)\/(-5))\/((-318)\/(-2597))*2\/406\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005789098 rounded to 5 dps?\nAnswer: -0.00579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*l**2 - 2*l - 432*l**2 + 214*l**2 + 2*l.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 - -0.021195.\nAnswer: -28.978805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 295.92 + -291. Let t = h - 5. Let a = -0.080007 - t. What is a rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -38*p**2 + p + 88. Let o(i) = 2*i**2 + i - 1. Let t be (37\/185)\/((-2)\/(-30)). Let h(l) = t*o(l) - u(l). What is the derivative of h(s) wrt s?\nAnswer: 88*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4402117, 8804257, 13206397?\n\"Answer: 4402140*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -330 - -538. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 17 = -2*u, -3 = 44*r - 41*r. What is the remainder when 30 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -2)*21 + (-62)\/(-31). Suppose -47*a + 12 = -u*a. Suppose 74 - 2 = a*h. Solve -n = 4*x - h, 5*n = -9 - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -4, -15.1, 1\/4, -2, -23 in increasing order.\nAnswer: -23, -15.1, -4, -2, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.36 - -0.49. Let p = i + -0.076. Let c = p + 0.336. What is c rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2591 - -2589 - (-2 + 3 + (-3 - -2) - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)\/(k\/((k*k**1\/k)\/k)))**17*(k*k**9*k**(-8))**(-50) assuming k is positive.\nAnswer: k**(-251\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -943 - 7967 = -71*h - 91*h. What is the least common multiple of 1830 and h?\nAnswer: 20130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19896609 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6910, -14224, -21538, -28852, -36166?\n\"Answer: -7314*l + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/11 less than or equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -1.298 (c) -257 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*54\/(-945)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 52 + 0 - 15 - 23 - 20 + 30*q. Let h(j) = 10*j - 2. Calculate -7*h(v) + 2*w(v).\nAnswer: -10*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31849723 and 469?\nAnswer: 222948061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 + 74*f - 773. What is the lowest common multiple of 4539 and n(12)?\nAnswer: 49929","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (1*(sqrt(2) + -1) - sqrt(2))) + 2.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12241915 and 168854?\nAnswer: 24483830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 254 and 83550.35043.\nAnswer: 83804.35043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k**2 - 2. Let h = -101 - -101. Suppose h = -11*p + 13 + 207. What is the lowest common multiple of p and n(2)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 28 - 26 = -19. Solve -2 + 5\/3*m**k + 23\/3*m - 22\/3*m**2 = 0.\nAnswer: 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -379424 divided by -6?\nAnswer: 189712\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 5*d**2 - 5*d - 3. Give z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 322 (base 5) to base 15\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10458 and 528?\nAnswer: 920304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 25202*s - 7882921. Give m(309).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270\/13, -25.5, 1\/3 in descending order.\nAnswer: 270\/13, 1\/3, -25.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 5018.\nAnswer: 55198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13031214 to the nearest integer?\nAnswer: 3610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -160*h**2 - 68835*h + 53875.\nAnswer: -5*(h + 431)*(32*h - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -38196.\nAnswer: 1\/19098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -18. Suppose -2*h + 4*b + 7 = -q, 0 = -h + b + 4. Suppose 2*z - 21 = 4*t - 7, h = 3*t - 12. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -56.11. Which is the smallest value? (a) q (b) -7 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10266 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 276*c**2 + 543*c + 410. Give q(278).\nAnswer: -3204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6285 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166562512 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636405 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**5\/30 + w**4\/4 - 10*w**3\/3 - 21*w**2 - 2. Factor l(c).\nAnswer: 2*(c - 2)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 0)*(35 - 36 + 16*u + 119*u) to x + g*u and give g.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162\/(-567) - (2\/(-8) + (-854344)\/224) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23876187, 47752425, 71628663?\nAnswer: 95504901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129\/37 - -3763\/814. What is the common denominator of o and (-4)\/14 - (-19266)\/14560?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3943*f + 3*z = -3947*f + 14, 5*f + 2*z = 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/10 + (-1027)\/390?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -69*i**3 - 7*i**2 + 9*i + 16. Let d(s) = -34*s**3 - 3*s**2 + 4*s + 8. Let j(h) = 7*d(h) - 3*t(h). What is the second derivative of j(a) wrt a?\nAnswer: -186*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3585174\/23*i - 4638\/23*i**2 - 923779834\/23 - 2\/23*i**3 = 0.\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 161 (b) 5 (c) -2\/11 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.304 + 263.304. Let u = 264.79 - l. Round u to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 + 207078*u**2\/7 - 5317982928*u\/7 - 2187881915040\/7.\nAnswer: -2*(u - 51972)**2*(u + 405)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - -1.94. Let c = -761.6 - -762. What is the nearest to -0.2 in c, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10 = 4*m, -6*j - 7 = -3*m - 4*j. Suppose 7 = m*h - 2. What is the second derivative of 46*u**h + 7*u - 18*u**3 + 27*u - 20*u**3 wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2091 and 23\/11.\nAnswer: 23001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/3 - (-60 - -56)*10\/(-3)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(6\/(-5))*(-4 + 6 + -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*k**2*z**3 + 61*k**2*z + k**2 + 12*k*z**3 + 23*k*z**2 + 3*k*z wrt k.\nAnswer: 86*z**3 + 122*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 588069 to the power of 1\/2, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 29*x**3 + 5*x**2 - 2*x + 1. What are the prime factors of u(3)?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - -85. What is the remainder when k is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-1))*s*s*s*s*s\/(s\/s**4*s)*s)\/(s*s**(-6\/11)*(s\/(s*s\/(s\/((s\/(s\/s**(-2)))\/s))*s*s))\/s) assuming s is positive.\nAnswer: s**(94\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -597362 divided by 1\nAnswer: -597362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -17419303 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/409? (a) -18 (b) 5 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -352*u**2 + 15253*u - 132093111 wrt u.\nAnswer: -704*u + 15253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + l = 46, d = -187*l + 185*l - 20 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z + 41. Let h be a(5). Let r = -195\/7 - -28. What is the closest to h in 0.3, r, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -2 (c) 4 (d) -0.04093 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2247, -2438, -2751, -3186, -3743, -4422, -5223?\n\"Answer: -61*j**2 - 8*j - 2178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0)**(1\/87)*(i\/i**(-4)*i)\/(i**(-2\/25)*i)*(i\/(i**(2\/7)*i))**(9\/5)*(i*i\/(i*i\/(i*i**(-2\/7))*i)*i)**20 assuming i is positive.\nAnswer: i**(287188\/15225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 19, n: 1}. Give prob of sequence nm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/70)\/(-5)*7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -16*p**2 + 3*p - 27. Let k be g(17). What is k rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m**3 - 27*m**2 + 51*m + 271. Let f(p) = 5*p**3 - 17*p**2 + 32*p + 169. Let z(x) = -19*f(x) + 12*w(x). What is z(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d - 32. What is s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 a factor of 5330871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1114034745720 + -1114030142267.000036. Let f = s + -4603431. Let c = -22 + f. Round c to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**3 + 7*n**2 - 6*n - 7. Let s(a) = 20*a**3 + 20*a**2 - 17*a - 20. Let k be (-4)\/(-6) + 0 - (-159)\/(-9). Give k*j(u) + 6*s(u).\nAnswer: u**3 + u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17\/(-2))\/(61\/(-83082)). Suppose -k = -7*g + 11320. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22599, -0.5, -2\/15, -3, 1\/4 in decreasing order.\nAnswer: 1\/4, -2\/15, -0.5, -3, -22599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w - w)*(6*w - 6*w - 1 - 5*w).\nAnswer: -25*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 - 7196*b + 7194*b - 16*b**4 + 2*b**3 - 2*b**2 to t*b**2 + d + h*b + m*b**3 + a*b**4 and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**3 - 167*m**2 + 168*m + 368. Let l(t) = -9*t**3 - 165*t**2 + 168*t + 372. Let h(u) = -5*l(u) + 6*z(u). Factor h(a).\nAnswer: 3*(a - 58)*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/63*-6*(-2 + 9). Sort a, -1, -4, -3.\nAnswer: -4, -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -594 + -0.2330497?\nAnswer: -594.2330497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*x = 0, x - 29 = -25. Which is the nearest to -1? (a) p (b) 0.4 (c) 0.01 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/(-15) + 4\/2. Let t be -1 + 6 - -69*(-4)\/48. Let n = -2039\/120 + 137\/8. What is the nearest to -1 in b, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 1\/3*s**4 - 3\/2*s**3 - s**2 + 0 + 0*s. Let q(l) = -6*l + 5*l + 3*l - 2. What is -9*q(a) + 2*w(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232562\/3 + 1364\/3*b - 2\/3*b**2 = 0. Calculate b.\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0 + 2. Suppose -43*b = -28*b. Suppose -28 = -x - 2*h + 18, b = 2*x - h - 82. Put -2, x, t in descending order.\nAnswer: x, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8716, -881, 12178, 30461?\n\"Answer: 2612*f**2 - f - 11327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1268612?\nAnswer: 2, 239, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234803 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 418*m - 208.\nAnswer: -2*(m - 104)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 5. Is (4 - g)*356\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27587 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183508 - 738003\/4. Let g = 1013 + d. Calculate the common denominator of 64\/44 + (-1)\/(-1) and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/936 and 167\/2504502.\nAnswer: 10018008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 1 + (2 - -1). Suppose -x - 49 = -2*d. Differentiate -1 + d*a**4 - 3*a**3 + 3*a**3 - 27*a**4 wrt a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.747 - -507.377. Let p = l - -5.37. Let s = p - 488.0000813. What is s rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 10) to base 3.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 1\/8*i**4 + 0*i**3 - 3*i**2 + 0*i**5 + 0*i - 1\/112*i**8 + 0*i**7 + 0*i**6 + 0. Find the second derivative of g(v) wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.33 and 372094?\nAnswer: 122791.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**5\/480 + 657*p**4\/32 - 1294947*p**3\/16 + 3*p**2 - 19*p. Suppose u(x) = 0. Calculate x.\nAnswer: 1971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-2241)\/(-15) + ((-4)\/10)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (53 - -16) + 14 - 3) + 1\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 8:33 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 63. Suppose -m - 10 = -g. Suppose -3*o = -3*z - 210, -5*o + o + 280 = -m*z. List the prime factors of o.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157313952 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182460982?\nAnswer: 2, 11, 29, 25999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/1410, 6\/13, -2, 0.0354?\nAnswer: 0.0354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 22*a - 22*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465422 is divided by 155111.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -2\/5, -5, -22, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/11, 176.9, 1159, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/3? (a) 4 (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 8 + 3*d)*(-2*d - 30*d + 51*d)*(2 + 24*d**2 + 0 - 15*d**2) in the form o*d + r + h*d**3 + p*d**4 + u*d**2 and give p.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -42102432?\nAnswer: 42102435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1769.\nAnswer: -4\/1769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 7:57 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 804818135?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*b + 50. Suppose 0 = -0*c - 5*c + b. Suppose 3 = c*f - 12. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v - 45 = 0. Let c(x) = x**3 + 9*x**2 - 10*x + 6. Let d be c(v). Suppose 3*g = -g + d. What is the highest common divisor of g and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826*s + 818*s = 104 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 0 - 6) + (-4 - (-3 + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -55. Suppose 0 = w*m - 16, u - 5*u + 28 = -5*m. Calculate the remainder when 114 is divided by -1 - (-60)\/(u\/8 - 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/106802033 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j + 14*j - 120. Calculate the remainder when 12 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 448 = 2239. Calculate the lowest common multiple of u and 8.\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 + (-4 - -11) + -3 + (-76 - -82)?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 14*v + 49. Let x be t(7). Is (4 - x)\/(-4) - -1568 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 3:12 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10302203123 (base 5) to base 2\nAnswer: 101001110111100010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3 + 2*l - 2 + 0*l - 6*l. Let n(b) = -16*b + 5. Let t(p) = -9*k(p) + 2*n(p). Differentiate t(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(10\/7)\/w)\/(w**23\/w) assuming w is positive.\nAnswer: w**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/12)\/4 - 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1.74395?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3 - 6695*n**2 + 66875*n - 167125 = 0?\nAnswer: 5, 6685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prpb when four letters picked without replacement from {b: 5, r: 2, p: 5}?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*g = g - 24, g = 2*s - 3. What is the third derivative of -14*z**2 - 11*z**s + 6*z**2 - 11*z**2 wrt z?\nAnswer: -264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 9*p - 32. Let u be z(-12). Let b(h) = -2 - 2*h + 6*h + 1. Give b(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u + 27. Let v be f(10). Suppose -225 = -7*q + v. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 11:31 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(7) + -5 - sqrt(7))**2 + sqrt(7) + 6*-2*sqrt(7).\nAnswer: -11*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15309 in 2, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 448 + -428. Let g = c - 20. Solve -5*j + 19 - 9 = g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1102.\nAnswer: 110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 2*c**2 - 3*c**2 + (0 + 2*c**2 + 0)*(1 - 2 - 1))*(15*c - 15*c - 7*c).\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 = -5*n - 10. Sort 5, 4, 3, n, -7 in increasing order.\nAnswer: -7, n, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -749, 0, 2258, 2 in ascending order.\nAnswer: -749, 0, 2, 2258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rirlllflufflli. Give prob of sequence uuif.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74375.1048 + 74505. Let q = 130 - s. Let l = 0.14 - q. Round l to 3 dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - f + 5487 = 0, -5*u = -6*u + f + 1368. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450833047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**4 + 5*m**3 - 5*m**2 - 6*m - 116. Let i(k) = 6*k**3 - 6*k**2 - 6*k - 116. Let a(r) = -5*i(r) + 6*t(r). What is the first derivative of a(n) wrt n?\nAnswer: 24*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmkmhkk. Give prob of picking 2 m.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 23*i + 585. Let j be u(-26). Let x(r) = -r**2 - 7*r + 4. Let k be x(-4). Let t = j + k. Sort t, 0.1, -9.\nAnswer: -9, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 27. Give d(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 0)*(15 + 3451\/(-232)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 51641358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224671150, 224671151, 224671152, 224671153, 224671154, 224671155?\nAnswer: 224671156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**4\/2 + 5*f**3\/2 + 1159*f**2\/2 - 13*f - 5. What is the derivative of y(k) wrt k?\nAnswer: 12*k + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92511 is divided by 5611.\nAnswer: 2735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57104889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -3. Suppose -2*k + 283 - 93 = 0. Suppose -k - 10 = -s*o. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 20*d = -5*i + 24, 7*d = -3*i + 5. Does d = 4\/1719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.0066283, 5?\nAnswer: -0.0066283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 3, 12, 2\/371?\nAnswer: 2\/371","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22522+0.05\nAnswer: -22521.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 26. Let i = 3 + m. Which is the nearest to 3? (a) i (b) -1\/3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*b - 35*b - m + 13, m - 7 = -b. Calculate the greatest common divisor of 18 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11778727 to the nearest integer?\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**5 - 40*p**4 + 156*p**3 + 440*p**2 + 242*p = 0.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttt. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4921, -4889, -4835, -4747, -4613, -4421, -4159?\n\"Answer: 2*j**3 - j**2 + 21*j - 4943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 102007?\nAnswer: 102003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*i + 5*b - 24, 0 = 4*i + 3*b - 29. Let r(x) = 2*x - 16. Let k be r(i). Solve 0 = n - k + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 7*h**2 - 6*h + 2. Let x be j(-6). What is the third derivative of -3 - 3*b**4 + 4*b**x - b**2 + 3 wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -2aa82ac?\nAnswer: 2aa82b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9397 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -1379, -3117, -5553, -8687, -12519?\nAnswer: -17049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 3\/707913623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, t: 7, j: 8}. What is prob of picking 1 g and 1 j?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20648, -41021, -61394, -81767?\n\"Answer: -20373*z - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 2, -3\/4, 5\/16, 5 in descending order.\nAnswer: 5, 2, 2\/3, 5\/16, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 1096 + 348. Are l and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33121 (base 4) in base 16?\nAnswer: 3d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-2\/7)\/b)\/b)\/b)**(-1\/63))**(2\/17)\/(((b\/b**(-5\/4))\/b)\/(b**3\/b))**(3\/19) assuming b is positive.\nAnswer: b**(69905\/569772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*h - 169, 2*h - 15 = d + 37. Let k = d - -55. Suppose -9*o = -6*o - k. Solve 0 = 3*l + o*u - 15, 0 = l - 5*l + 3*u - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9. Suppose 3*i = -0*i - 3, -4*i = h. Let r = 0.621 + -1.121. What is the biggest value in x, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 298412*w + 1790368. Calculate q(-6).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, e: 1, k: 9, t: 2}. What is prob of picking 1 k and 1 t?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 25*w. Let u(z) = -1687532*z. Calculate s(u(q)).\nAnswer: -42188300*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 30a?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*d + 20, q - 46*d = -44*d - 2 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-54)\/(-6)))\/((13\/(-33))\/13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 364090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16842*y**2 + 53336*y.\nAnswer: 33684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 7. Let f = v + 16. Let t = -8 + f. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - j - 2. Let s = -23 + 24. Let f be (-2 + s)\/((-9)\/(-189)). Let v be (14\/f)\/((-2)\/6). Determine o(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -3. Suppose -w - 2*q - 2*q = s, 12 = 2*w - 2*q. Factor -3 + 0 + y - 3*y**w - 7*y + 0.\nAnswer: -3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - k + 1. Let p(w) = 3*w**2 + w - 1. Let f(v) = -c(v) - p(v). Let l(t) = -5*t**2. Give f(l(a)).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 8*s**2 - 9*s + 1. Let u be y(3). Let c(d) = u - 60 + 20 + 21 + 38*d. Let x(o) = -4*o. What is x(c(z))?\nAnswer: -152*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {p: 8, j: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = -50. Find the common denominator of 46\/9 and (-16)\/w - 234\/(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d - 3. Let t be p(-3). Let l(b) = b**2 + 7*b - 8. Calculate the lowest common multiple of 2 and l(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8250.3 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 7:02 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*l + 3*z - 6, 1353*z - 1352*z - 11 = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64109402 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*q**5 - 13*q**2 + 161*q**5 - 85*q**5 + 8*q**3 wrt q.\nAnswer: -300*q**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 11:26 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 39, 80, 127, 174, 215, 244, 255?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64477.\nAnswer: 7, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 50 - 12. Calculate the remainder when w is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15787 - -15764. Let q(u) = -u**2 - 21*u + 32. Determine q(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbssbsb. Give prob of sequence bbb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 2*u - 6. Suppose 4*b - 3*n - 19 = 0, 0 = 37*b - 32*b + 4*n - 16. Determine c(b).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 14 + 7 = 0. Suppose -4*x = o*g - 1620, -5*g - 1652 = -4*x - 0*x. Suppose 0 = -l - k + x, 0*k = -5*l - k + 2060. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 17*x + 17*n - 29990573, -2*n = 2*x - 3528290. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 (base 10) to base 7\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 18*r - 1. Let q(j) = 36*j - 2. Give -9*l(y) + 4*q(y).\nAnswer: -18*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141 - 52. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132)*4)\/(sqrt(1200) + sqrt(1200)*-2))**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f - 43 = 88*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/68)\/((-12)\/(-48)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.028 - -0.438. Let i = m - 0.01. Which is the third biggest value? (a) i (b) -4 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/19 - 49360*v**2\/19 - 304452456*v\/19 + 1218599712\/19 = 0. Calculate v.\nAnswer: -12342, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (12\/4 - 0). Let f(y) be the first derivative of z*y**2 + 0*y - 1 - 1\/5*y**5 + 0*y**4 - 2\/3*y**3. What is the third derivative of f(w) wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71344 and 5616.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2 + 1. What is the lowest common multiple of v(1) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2215125, 4430327, 6645529, 8860731, 11075933, 13291135?\nAnswer: 15506337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 7:19 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.3. Let q = 3 - 0. Let y = -4 + q. Sort 5, y, u in ascending order.\nAnswer: y, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 419\/6 + -1052\/15. What is the closest to 0.1 in 1\/3, b, 1, 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, b: 4, o: 4}. What is prob of sequence bbb?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 134*s**2 - 36*s - 143*s**2 - 10*s**4 - 2*s**5 + 319*s**2 + 4*s**5.\nAnswer: 2*s*(s - 3)**2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/10 - (-2 - 13\/(-5)). Suppose f*w - 130 = -2*h, -3*h = -2*w - 0*h + 71. Let c = 77 + -73. Solve 4*s + c*t + w = 0, 4*s = -0*s + 5*t - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 7268616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 473, 983, 1545, 2189, 2945?\nAnswer: 3843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*b - 2)*(-1 - 2 + 1)*(1 - 3 + 3).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2861, -5, -1\/3, -3, -0.5, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123565896 to the power of 1\/3, to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 19*i - 57. Let s be b(-4). Suppose s*t - 2*j - 413 = 4*t, j - 4 = 0. Round t to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 90*j**2 - 104*j - 10. What is z(1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) 2 (c) 5 (d) -5 (e) 660 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46365917470 plus -0.01?\nAnswer: -46365917470.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*d - 4*o, -10 = -719*d + 723*d - 2*o. Let j(f) = -52*f**2 + f - 2. Determine j(d).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*o**2 + l**3*o + 3*l**2*o + 12*l*o**2 + 5297*l*o + 631*o**2 - 2*o wrt o.\nAnswer: 2*l**3 + 24*l + 1262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -189*98156\nAnswer: -18551484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 1. Suppose -f + 46 = -5*p, -p + 270 = 5*f - 6*p. Suppose 121 = 4*r - 3*w, 3*w + 205 - f = 5*r. Let t = r - 31. Give g(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 223900 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24\/7, -0.1, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 30. Let w = b - -23.008. Round w to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664843*n + 282500*n + 283241*n.\nAnswer: 1230584*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 - 7*i**2 + 3*i + 12. Is h(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 101. Let n be -2 - (2 + a\/(-3)). Let y = n - 11. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/3 + 8*o**2 + 1999*o\/3 + 7378 = 0.\nAnswer: -21, -17, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6588)\/(-264) - 107\/(-2354).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*y = -47, 3*y = -m - 0*m + 23. Let o = 34 + -31. Solve h + 3*l = m, -4*l + 12 = -o*h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.08, 4, 0.12, 47\/3692, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*p**6 - 292*p**2?\nAnswer: 4200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111\/7, 124, 0.3, -4 in decreasing order.\nAnswer: 124, 0.3, -4, -111\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -293*n**2\/2 + 8968453*n\/6 - 27208.\nAnswer: -(n - 10203)*(879*n - 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*b + 20, -2 = w - b - 9. Solve 548 - 564 = -w*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-2*z**2 - 3*z + 4*z**2 + 2 - 4*z**2).\nAnswer: -2*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lmmmmlllllllllmmk.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4297 + -1.46\nAnswer: -4298.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 19.8645.\nAnswer: 15.8645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*o**2 + 5*o - 6*o - 42*o**2)*(-115 - 110 - 7*o + 226 + 2*o) in the form j*o + p + f*o**3 + t*o**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 4. Let l be (1 - 3)\/(5\/(-20)). Let u be q(l). Let s be (4\/u)\/((-2)\/(-42)). Is 7 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepeedddeddddeep. Give prob of sequence pe.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/195 and 6\/(-54)*-3*(46 - 2)?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.45788ng to kilograms.\nAnswer: 0.00000000006245788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -49201165 - 56105\nAnswer: -49257270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/30)\/(228\/108))\/(4\/(-40))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1634 - 1900 + 97*i - 629*i + 964.\nAnswer: -532*i - 2570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 55. Solve o + 16 = r*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000101011 (base 2) in base 7?\nAnswer: -3053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236143834 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 294443641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -146 * -49.6416\nAnswer: 7247.6736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-5)*(568\/(-426))\/(32\/360)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*m - 2647 = -4*h - 237*m, 1334 = 2*h + 2*m. What is the greatest common divisor of 8085 and h?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18424439 rounded to 4 dps?\nAnswer: -0.1842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (29\/((-203)\/18))\/((-4)\/(-1232)*11)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86007 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - q = 71, 8*q - 13*q = -4*k + 289. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(-2)\/(-10)*-4. Let r(g) be the first derivative of g**2\/2 + 163292. Let l(q) = -3*q. What is y*l(s) + 11*r(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/76825 and 19\/61460.\nAnswer: 307300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*l + 9, -u - 5*l + 2*l = -5. Solve -16*s - 20 = -20*s + 3*o, -u*o = 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -6. Let f(h) be the third derivative of h**6\/120 + h**5\/10 + h**4\/12 - h**3\/3 + 4533*h**2 + 2*h + 1. Calculate f(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -36. Suppose -4*m + 21 = 53. Let r = m + w. Solve -2*u - r*j + 2*j = 0, -u = 2*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 10*u - 8. Let y(m) = 6*m + 5. What is the units digit of y(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 - 30 = -5*f, -25 = -5*f - 5*z. Let y = -4 + f. Suppose 31*u - 35*u + 3*k - 2 = 0, 4*k + 12 = -2*u. Put u, -5, y in decreasing order.\nAnswer: y, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = 0, 3*b - 17 = -0*b - 2*f. Let h be (-2)\/((-5)\/b) - 1. Solve -n + 0 = -h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -260*u**2 + 156*u**2 + 121*u**2. Let x(l) = -16*l - 3. Give q(x(n)).\nAnswer: 4352*n**2 + 1632*n + 153","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 709293239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 24*r - 3. Let f be b(-4). Let y = -95 - f. Let i(v) = -v**3 + 5*v**2 - 3*v + 2. Let s be i(y). Is 7 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 160864 - 13?\nAnswer: 160851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1172, -4888, -11150, -19958, -31312, -45212?\nAnswer: -61658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732804784.\nAnswer: 2, 31, 47659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f - 11. Let w(p) = p - 2. Let g(a) = 2*t(a) - 11*w(a). Let j(m) = -m. What is 4*g(r) - 3*j(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d50e4 + 5?\nAnswer: 4d50e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*c - 12. Solve -2*n - c = -n - 4*u, -3*u = 4*n - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 10 = -4*v - 0*x, 2*v - 2 = x. Let g(c) = -3*c**2 - 1. Determine g(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61751153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(1\/42). Let m be 15 + -9 + -2 + (-2 - -1). Let 2*b + y*b**m - 9*b**2 + 15*b**4 - 5 - 23*b + 0 - 1 = 0. What is b?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-1)\/10)\/((-7)\/5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6750 is divided by 840?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 18*c + 99. What is m(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 203013, 203066, 203119?\n\"Answer: 53*r + 202960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 6*d - 380192*z + 380191*z, 0 = -3*d - 2*z - 50 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzvzovozq. Give prob of picking 1 q and 1 v.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 7*p - 7. Let o be w(-5). Suppose 18 = 2*v - 2*j, o*v = 2*j - 0 + 23. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 - 8000*l - 4000000 = 0. What is l?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b + 13*b - 896 = 0. Suppose -k - 6*o + 3*o - 5 = 0, -3*k = 4*o. What is the derivative of b + k*y - 18 - 19*y wrt y?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 - (-400)\/(-32) - 7522\/(-4). What is the highest common divisor of 57 and b?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6 - 3) + -3 + 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9838a5 (base 11) to base 5\nAnswer: -400243123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (54\/4 - 2)*8\/(-16)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/3 - 4) + 4. What is the hundreds digit of (-8)\/1*(1494\/8)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15004*h*l**3 - h*l**2 + h*l + 65*h + 2*l**3 + 2*l**2 - 185 wrt l.\nAnswer: -90024*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/48 - 409*z**3\/24 - 51*z**2 + 50*z + 1. Suppose t(g) = 0. What is g?\nAnswer: -408, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 1)**2*-5 + -5 + 4 - ((2*sqrt(70))\/sqrt(7) + sqrt(10))\/(sqrt(60)\/sqrt(300) - sqrt(5)).\nAnswer: -1216 - 425*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14300\/39)\/25)\/(-5*4\/(-30)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/10)\/(2544\/3180))\/(4\/1360)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58864472237 + 0.2.\nAnswer: 58864472237.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8662, 9585, 11124, 13279?\nAnswer: 16050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 3, -1 in ascending order.\nAnswer: -5, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 6, g: 1, e: 2, m: 7}. Give prob of sequence ge.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5 - 3*k**4 + 14*k**3 + 12*k**2 - 40*k = 0. What is k?\nAnswer: -5, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) -2\/5 (c) 5 (d) 3\/2 (e) -1\/7 (f) 63\/23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 1, t: 2, x: 6, w: 5, s: 3}. What is prob of picking 1 w and 1 t?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*c - 3*c + 42000, 0 = 4*c. What is g rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 plus -0.5175?\nAnswer: -28.5175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 5*a + 7 - 2 + 5*a. Let f be r(3). Suppose 0 = f*n - 40 + 2. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtqmudqmqtmdqq. What is prob of sequence ut?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25393 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - 1. Let u(y) = y**2. Let z(f) = -r(f) + 2*u(f). Let b(w) = -w**2. Determine b(s) - z(s).\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -58, -0.4?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 15 = -3*q, 3*m + m = -q + 20. Suppose -m*c = -c - 52. Suppose -k = c - 35. Calculate the remainder when 41 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 547 + 19*x - 13*x - 12*x.\nAnswer: -6*x + 380","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 16*h + 207 = 3*v, 4*v = h + 38. Let b be 30\/35*(h\/(-12) + 0). Solve 5*y = 2*y - 2*z - 3, b*z + 13 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -2 (c) 1410\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(304) + sqrt(304)*-1*6 + sqrt(304) + -1 + -3).\nAnswer: 16 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f + 91 + 237 = 0. Differentiate 3*p**2 - 15*p**4 + 179 - p**2 - 14*p**2 + f*p**2 wrt p.\nAnswer: -60*p**3 - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34414 + 2678. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/20)\/((-496)\/(-160) + -3). Let k(g) be the third derivative of -g**6\/120 + g**5\/20 - g**4\/12 - 5*g**2. Determine k(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzsnzocwnssnoz. What is prob of picking 2 z, 1 w, and 1 s?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 6:31 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1888 or -825?\nAnswer: -825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5695332 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 5*b + 4. Let m be h(1). Suppose -15*o - 1 + m = 0. Let t be 0 - (-1)\/5*o. Solve t = 4*s - s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-27))\/c**(-3\/14))**8 assuming c is positive.\nAnswer: c**(-1444\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.1. Let i = 53.8 + -54. Let b = 0.5 - 0.1. What is the second smallest value in g, b, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let f(b) = -17*b + 7. Let j(o) = -f(o) + 6*l(o). Is j(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Let x(g) = 2*g**2 - 3*g - 2. Let r be x(-2). Suppose -a*p = 2*p - r. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 + 18*a**3 - 27*a**2 - 12*a + 36 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 2790.\nAnswer: 19530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - 1848\/(-110))\/((-2)\/(-20)). Let u be (-307)\/(-4)*(-4)\/(-1). Let m = u - p. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-7 - -9) + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4845 is divided by 72?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2048*h**5 - 23593216*h**4 - 26540640*h**3 - 9952524*h**2 - 1244052*h = 0. Calculate h.\nAnswer: -11519, -3\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*r**4 - 8*r**3 + 3*r**2 - 17*r wrt r.\nAnswer: -432*r - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3195 = -780*h - 1270 + 2755 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwwp when four letters picked without replacement from {z: 2, w: 7, p: 8, g: 3}?\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsshsszzh. Give prob of picking 1 h and 1 s.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118\/20083 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.2. Let k = 65 + -64.8. Which is the closest to -1? (a) -5 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 976397842 or 976397843?\nAnswer: 976397842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 2 - 2*x**2 + 4)*(-5 + 5 + 2*x**3) + 8*x**5 - 6*x**3 + 6*x**3 - 3*x**5 + 4*x**5 + 0*x**5.\nAnswer: 7*x**5 + 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Let y be ((-3)\/(-9))\/(3\/27). What is the second derivative of -b*k + 3*k**2 - 7*k**2 + 6*k + y*k wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/3606 and -115\/24.\nAnswer: 14424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 114876?\nAnswer: 1263636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 - 0.3. Let m = -3.5 + 3. Let v = -0.2 - m. What is the third biggest value in v, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 6*t**2 + 4*t + 2. Let m = 147 - 143. Give d(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-456)\/904 + 3\/6. Let j = x - -2656\/113. Find the common denominator of 22\/(-5)*(-10)\/9 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9613 + -9613. Put 1, 1\/7, -7, 2, b in descending order.\nAnswer: 2, 1, 1\/7, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 2. Let a(z) = -14*z - 10. Suppose -240 = 5*m - 215, i + 41 = -5*m. What is i*j(h) + 3*a(h)?\nAnswer: 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5866*w + 2. Let j be r(-1). Suppose j + 7775 = 7*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vviiiiwwiviiwv. What is prob of sequence iwiv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 17 + 1 = 0. Let b = 26 - c. Determine j, given that 12*j**3 + 2*j**2 + 42*j**2 + 28*j**3 - 4*j - b = 0.\nAnswer: -1, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 16 + 27 + 11 + 13 + 2*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -86514, -86490, -86466, -86442, -86418?\n\"Answer: 24*c - 86538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 11:59 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18137 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 r, and 1 f when four letters picked without replacement from fyexexxyxiry.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1882788.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 8 = -a. What is the tens digit of a\/(3 + 5\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -48 - (-74 - -2).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 4*s + 78375 = -11*p, -2*p - 3*s + 156770 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/137 and 39\/11?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.3 + 2.3. Let o = -2\/1175 - 2308\/24675. What is the closest to -2\/5 in z, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 14. Let j be h(19). Suppose j*x = -x - 30. Which is the second biggest value? (a) x (b) -30 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*o, -38*l + 5*o = -39*l + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1908*k - 13552 = 57044 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.069037 - -563.159037. Let c = a + -601. Let w = c + 38. Is 1\/5 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 13*s - 539 + 444. Solve 0 = s*r - 30 - 15 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -904.4 + -115804.22?\nAnswer: -116708.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5924*y - b - 22 = -5921*y + 45, 6*b + 35 + 12 = -3*y + 5 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:39 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2. Let n(d) be the second derivative of 2*d**4 - d**3\/2 + 11*d + 4. Give q(n(m)).\nAnswer: -576*m**4 + 144*m**3 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 1, p: 1, e: 1, l: 1, m: 1}. Give prob of sequence le.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/5)*x**(2\/17)*x*x*x**(-2)*x*x**(-13) assuming x is positive.\nAnswer: x**(-1078\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17404689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -o - 3*z - 33, 6 = 4*o + 3*z. Suppose 5*n + 2*x + 10521 = -5875, 3*n + o*x + 9834 = 0. What is n rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 996*q**2 - 115*q + 1108664. What is l(997)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2. Let f(n) = -4*n - 3. Let r(v) = -v. Let p(g) = -2*g - 5. Let o(w) = p(w) + 5*r(w). Let x(i) = 5*f(i) - 3*o(i). Calculate x(s(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 1 (b) 784 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 11:52 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n + 75. What is j(-12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 78556323 to the nearest 1000000.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-39))\/(3024\/(-3489) - -1). Let c = m + -12\/155. Let -c*i**2 - 4\/13*i + 0 - 6\/13*i**3 = 0. Calculate i.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 2*q - 2821 + 2829, -2*r = 5*q + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(f + 3*f - 2*f) - 327*f - 290*f + 851*f - 291*f + 8.\nAnswer: -59*f + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.0087, 0.25, 0.5, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*q + 8, -k + 4 = 5*q - q. Suppose -1508 = -8*o + k*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 - 236. Put -4.7, n, 0.4, -1\/6 in ascending order.\nAnswer: -4.7, -1\/6, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92114438 to the nearest integer?\nAnswer: 9598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/260 and 27\/22?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 575549 by 112.\nAnswer: 575549\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.597274nm to meters.\nAnswer: 0.000000009597274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3752038029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1)\/2 + 35. Let z = q + -30. Let a be (-1 - 2\/(-2))\/((-8)\/(-8)). Put 2, z, a, 9 in decreasing order.\nAnswer: 9, z, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*o + 8. Let k = -550 - -638. Let v be (k\/(-154))\/((-10)\/7)*115. Which is the biggest value? (a) o (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2241 + 1078 = 348*a - 1553 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 divided by -10002.\nAnswer: 131\/10002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-100)*(-20)\/(-15)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1988 is divided by 289.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.3, 27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 236, 1759, 5090, 10877, 19768?\n\"Answer: 108*q**3 + 256*q**2 - q - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/840 and 151\/630.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91.3 - 136.6. Let o = 45 + m. What is the closest to 0 in 4\/9, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140*2\/9 - (-13 - 0 - (-3186)\/243).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + 0*d**2 + d**2 - d**2 - d**2 + 5*d.\nAnswer: 4*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 245*z - 32 + 53 to y*z + w and give y.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 1 e when three letters picked without replacement from {y: 1, b: 1, f: 2, e: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 378.3567ng?\nAnswer: 0.0000000003783567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, -9762, -2, -0.48?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**7\/840 + m**6\/40 - m**5\/15 + m**4\/6 + 2*m**3\/3 + 9*m**2. Let l(h) be the first derivative of t(h). Calculate l(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-18)\/(-36)*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 255535 = -3*r, 58*o = 63*o + 5*r - 638830. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(5 + -2) - -1. Let q(o) = -o**3 - 3*o**2 - 5*o - 2. What is the units digit of q(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1344, 1\/125, 4?\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2224044 (base 5) to base 14.\nAnswer: -10454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1277, 1276, 1275?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -17. Suppose 3 - x = -u. Suppose 110 = -0*v + u*v. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 2*z**3 + 0*z**3)*(0 + 2 - 4) + 1 - 1 - 3*z**3 + (61 - 5*z - 61)*(z**2 - z**2 + z**2).\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*o + 5*c, -2*c - 33 = -2*o - 3*c. Let q = 7 - o. Let p(v) = -v**2 + 25*v - 30. Let m be p(24). Is q < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 6, 3*t = 6*t + 2*r - 12950. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/4124 - 3362\/15465. Let k = -1\/30 + n. Which is the closest to -0.1? (a) 3 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 56 - 84. Differentiate -34 + q - 14 + 16*x**2 wrt x.\nAnswer: 32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3390 + 1010 = -91*g + 21*g for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -4, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -35*p**4\/12 - 5*p**3\/6 - 10*p**2. Is q(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 666378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 8*k**2 + 2022*k + 10039. Calculate n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.3, -1\/12, -1\/7 in increasing order.\nAnswer: -5, -1\/7, -1\/12, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 493252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 25607*h**2. Let a(g) = -276*g - 11. Determine a(f(d)).\nAnswer: -7067532*d**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -11 + 35. Let r = 73.8 - 68. Let m = -5.3 + r. What is the closest to 1 in m, t, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138895161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 2. What is l(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 2786. Let o(p) = -205*p - 1. Calculate y(o(r)).\nAnswer: 84050*r**2 + 820*r + 2788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w - 7*w - 11*w + 3*w - 4*w + 5*w + (0 - 1 + 2)*(-2*w + 4*w - w) - 1 - 3*w + 1 in the form r*w + l and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -6. Suppose 31 - 111 = d*g. Let z be 45\/g - 4\/(-16). Which is smaller: -3\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045 minus 3095.97?\nAnswer: -3096.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*j - 3*j. Let p(b) = -6 - j + 3 + 2 + 9*b. Let y(i) = -8*i + 1. Let x(m) = 6*p(m) + 7*y(m). Differentiate x(d) with respect to d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z. Let h(i) = 6 + 8*i - 3 - 3. Let j(q) = 8*h(q) - 5*n(q). Let g(x) = x. Calculate j(g(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*y - 43*y - 36*y - 47*y + 206*y - 31*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3827*l + 4528*l + 1188*l - 4066*l + 5664*l)*(l + 1 + 2 - 4) in the form r + m*l**2 + d*l and give d.\nAnswer: -11141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*g + 3*f, 0 = g - f + 3 - 14. Put g, 0, 2 in descending order.\nAnswer: g, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:31 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4852 less than -4854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5 = -x, 0*o + o + 3*x - 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -19 + (18 - 2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201189905.\nAnswer: 5, 7, 37, 43, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*-142 + 0. Let s = 20 + -61. Let b = s + r. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*m**4 + 1 + 2*m**4 + 1 - 1 + (-74*m**2 + 24*m**2 - 60*m**2)*(4*m**2 + 0*m**2 - 7*m**2) + m**4 + m**4 + 0*m**4.\nAnswer: 331*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y - 53*y + 14*y + 13*y + 6*y + 8*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2722 - -2718. Put -27, a, 1, 2 in ascending order.\nAnswer: -27, a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 576 by -12536.\nAnswer: -72\/1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*z + 15*z + 8. Suppose 0*n = 5*n + 4*r + 4, 0 = 2*n + 2*r + z. Solve 2*a + 3*a - 10 = n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105214 and 651?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 10*w**2 - 16*w - 40. Let u be x(13). What is the derivative of -7*t**4 - 132*t**3 + 73 + u*t**3 - 121*t**3 wrt t?\nAnswer: -28*t**3 + 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**4\/12 - 4*j**3\/3 + 3*j**2 - 16*j. What is k(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 301578 and 4215?\nAnswer: 423717090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -218 - -282. Let g = p - 61. Which is the second biggest value? (a) -1\/2 (b) g (c) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7870*x + 2 - 8173*x to n + a*x and give a.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -9\/11, 47?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1781 and 0.1?\nAnswer: -178.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6*g*g\/g**(1\/4) assuming g is positive.\nAnswer: g**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-2*s + 0*s + 3*s)*(374 - 2802 + 291).\nAnswer: -2137*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 198. Let n be i(0). Suppose 3*y - 2*y + 64 = z, 3*y = -3*z + n. Let a = -30 + z. Solve 5*x = -4*f + a, -5*f + 4*f = -5*x + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -9, -12, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 14*b - 11. Let o be v(12). Solve -2*y = -o + 19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14008719 is divided by 1476.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-6) - (-1)\/(-3). Let n = 4.02 - 0.02. What is the second smallest value in n, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 52 = 8. Suppose 24*w = 21*w + 12. Suppose -2*x = z - 123, w*x + y = -x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7230271.77 rounded to the nearest one hundred thousand?\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 10. Let l = o + 5. Let i(x) = -x**3 - x**2 + 2*x - 3. What are the prime factors of i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2875, 2871, 2857, 2827, 2775, 2695?\n\"Answer: -b**3 + b**2 + 2875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 381 and 53603652?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4\/3, 1\/8, 21, 2, -2774?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 3*v + 20. Let q be u(0). Suppose 3*a - q = -2*a. Let l be 4 + 2 - 3 - a. Let k(y) = 16*y - 1. Give k(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9 = -4*c + 8, 5*p = 3*c - 4. Let i(o) = 24*o. Suppose -4*l - 76 = -0*n - 4*n, 3*l = -5*n + 55. Let q(w) = -5*w. What is c*i(t) + n*q(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -86. Let y = s - -176. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46845329.61 rounded to the nearest 10000?\nAnswer: -46850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1164, -984, -804, -624, -444?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 242*u - 13600. Calculate x(56).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-165)\/10))\/(1*4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27154479.55 and 21.\nAnswer: 27154500.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**4\/8 + 41*t**3\/6 + 8*t**2 + t. Let g be q(-12). Which is greater: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**5 + 24*g**4 - 60*g**3 + 32*g**2 = 0 for g.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 411211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581771304.\nAnswer: 2, 3, 41, 197077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*o**2 - 1033922\/3 - 2876\/3*o.\nAnswer: -2*(o + 719)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356822 is divided by 50970.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.8307 and 1.\nAnswer: 5.8307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 8:03 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3\/5 - 58792*o**2\/5 + 2462208*o\/5 = 0.\nAnswer: 0, 42, 14656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, t: 3, l: 3, o: 2, c: 4, w: 6}. Give prob of sequence tcto.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (6 - (5 + -2)). Suppose 0 = 4*f - 22 + u. Suppose -f*g + g + 72 = 0. What is the remainder when 42 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-2 + 15\/10). Suppose -5*r - n + 19727 = w, 2*r + 2*n - 7898 = -2*n. Suppose 0*c = -5*c + r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -5*q**5\/2 + q**4\/6 - 5*q**3\/6 + 33*q**2. What is the second derivative of l(r) wrt r?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -67.5. Let x = o + -34. Put 0.07, x, 0.5 in increasing order.\nAnswer: x, 0.07, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/7)\/(w*w**(-1)))\/(w**(-1\/4)\/(w\/w**(2\/9))))**(-3\/7))**(1\/13) assuming w is positive.\nAnswer: w**(-331\/7644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 11. Let z(k) = 1. Let d(s) = -u(s) + 3*z(s). Let t be d(-5). Solve 4*y + 5*f = -16 - 17, t = -y - f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13490891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 19 = 4*i. Let r = 53 + -52. Suppose 0 = -u + r + i. Calculate the highest common factor of 27 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3 - 23354745577\nAnswer: -23354745574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8279*b - 20439 = -7499*b + 26361 for b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36070.1 seconds to milliseconds.\nAnswer: 36070100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -12*o + 11*o. Let w = -9 - -5. Let b(j) = 2*j**3 + j**2 + 2*j - 2. Let l be b(1). Put w, l, o in decreasing order.\nAnswer: l, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - 2\/5. Suppose 4*c - 16 - 24 = l. Suppose x - c = -3*w, 2*w + 2*x - 11 = -w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times -14473.366\nAnswer: 3618.3415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) -2\/3 (c) 5\/4 (d) 0.5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3 + j + 3*j - 5*j + 8. Let s be o(9). What is the units digit of (s\/(0 + -2))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 1124*r**2 - 18*r + 7. What is o(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -27 - 1093. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2578*c**2*p**4 - 7683*c**2*p**2 wrt p?\nAnswer: -61872*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/(10\/510). Let t(j) = -j**3 + 16*j**2 + 15*j + 39. Let g be t(q). Let m(n) = -n**2 + n + 7. What is m(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 3 + -44)*4\/(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 3:09 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(720)\/sqrt(9))**2*1 + -1.\nAnswer: 16*sqrt(5) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(10*u - 37*u - 26*u)*(-2*u**2 + 2*u**2 - 2*u**3).\nAnswer: 318*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**2 - 3*h**2 - 10*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcc. Give prob of picking 1 c and 1 g.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -12)*(-23)\/(-2). Calculate the highest common divisor of h and 138.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 r when four letters picked without replacement from {r: 5, n: 2, j: 2}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, 1\/6, 228, 2\/57, -0.5, -0.2, -3?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 46. Let g be (44\/v)\/(20\/(-50)). Let y = g + -6. Solve -1 = -0*k - y*k + 2*b, -5*b = 2*k + 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 0\/(2*1). Let p(v) = 30*v + 6. Let g be p(0). Sort 1, i, g in descending order.\nAnswer: g, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 13) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.704, 0.5?\nAnswer: 0.704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*u**6 + u**5 + 332*u**2 wrt u.\nAnswer: -10440*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4655)\/(-7448))\/(1\/(-14)).\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/(-1120))\/((258\/(-215))\/((-16)\/10))?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137568817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 24, 0 = 5*m - 272*g + 268*g + 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 26882.\nAnswer: 295702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 414 from -0.1.\nAnswer: -414.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 (base 10) in base 8?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 4*j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 2*n**2 - 2*n + 1. Let u be t(-2). Suppose -u*k - k = -114. Suppose 5*l = 6 + k. Solve 2*w - 3 = l*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 7*z**4 + 30851*z**3 - 548421*z**2 + 1234665*z + 398250 = 0.\nAnswer: -4425, -2\/7, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 33 = 5*b, 2*b - 32 = 5*m - 5. Let p(o) = 3 + 0*o - o + 9*o - 8. Calculate the remainder when 124 is divided by p(b).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 8 = -3*o, 23*n - 8 = 19*n. Suppose 5*k = 5*j, 5*j - o = 2*k - 0*k. Solve -h = -5*s + s - 3, h + k*s - 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1545, 1113, 683, 255, -171?\n\"Answer: z**2 - 435*z + 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - (-1 - 402\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/20*510\/(-4) - -6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 13*z**2 - 140*z + 1. Let k be s(-20). Which is the nearest to -0.1? (a) k (b) -1 (c) -2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -197488775*v**2 - 3307810*v - 6 wrt v?\nAnswer: -394977550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = -4*g - g, -1 = 2*f - g. Solve -2*w + 3*w = f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662163251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0235757552 rounded to four decimal places?\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z - x - 4665, -4*z - 3*x + 3732 = 0. What are the prime factors of z?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a815 (base 15) to base 14.\nAnswer: 235ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-10))\/(4\/(-30)). Let x(w) = -18 - 4 + o*w + 10 - 6. Let h be x(3). Solve -2*l + h*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, y: 1, u: 1, c: 1}. Give prob of sequence yn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1854 + 0.0854. Let m = -5555353\/273 - -183146\/9. Let b = -1\/117 - m. What is the nearest to b in -1, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4086\/45 - (-40)\/(-50). What is the greatest common factor of m and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*k - 171, -5*m + 160 + 5 = -5*k. Suppose -4*c + m = -c. Factor 3*h + h - 10*h**2 - c + 22*h**2 - 4*h**3.\nAnswer: -4*(h - 3)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 9:24 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t + 56*t = -41*t + 1043 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c**3*f**3 - 284236*c**3*f**2 + 15*c**3*f - 149*c**2*f**3 - 14220*c**2 + 5*c*f**3 wrt c?\nAnswer: -36*f**3 - 1705416*f**2 + 90*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1. Let x(n) = -2*n**2 + 37*n + 14. Let u(j) = -4*k(j) - x(j). Let w be u(19). What is the remainder when 146 is divided by (w - 21\/(-9))\/(16\/120)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (6 - (1 - 0)) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**5\/20 + p**3\/3 + 7*p**2 - 2*p. Let w be o(0). Let y(i) = -i + 44. What is the units digit of y(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 0*k**2 - 1\/2*k**4 + 0*k - 33 + 4\/3*k**3 - 2\/5*k**5. Factor y(u).\nAnswer: -2*u**2*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6338.65 and 0.5?\nAnswer: -3169.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -4246\nAnswer: -38214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 23. Let i = 8 - f. Let a = 25.946 + i. What is a rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2\/73, -10, -0.1, 2, -0.18, -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q + 4. Let v(s) = 3*s - 5. Let f(c) = 6*k(c) + 5*v(c). Let r be f(8). Let g = -19 - r. What is the highest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -48637547 - 4?\nAnswer: -48637550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**6\/360 + u**5\/15 + 5*u**4\/24 + u**3\/3 - u**2. Let g(a) be the first derivative of h(a). Is 14 a factor of g(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 84 = -904. Let i = 306 + s. What is the remainder when i is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 143584, 143569, 143544, 143509, 143464, 143409?\n\"Answer: -5*b**2 + 143589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562 is divided by 215?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*r - 3*h, -2*r + 2*h + 15 - 3 = 0. Put 3, r, -7 in ascending order.\nAnswer: -7, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 29. Suppose 0 = 4*b - m + 9. Factor 24*l**5 + 23*l**5 - 46*l**5 + 2*l**3 + 3*l**b.\nAnswer: l**3*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 + 2 + (-460)\/(-10). Solve j = 9*h + 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-one fifths of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*y - 51*y - 50*y - 56*y + 218*y + 6*y**3 + 10*y**2 to the form a*y**2 + p*y + g*y**3 + b and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**2 + k**3 - 4*k**2 + 1 - 2 in the form i + n*k**2 + p*k**3 + f*k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13222 (base 6) to base 2.\nAnswer: 11111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8675, 8679, 8683, 8687?\nAnswer: 8691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1\/296025617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -47. Calculate the greatest common factor of 22 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 163.8 and 1.001.\nAnswer: 163.9638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + (-3 + -2*sqrt(180) + sqrt(180) - (sqrt(180) + -4*sqrt(180) + sqrt(180) + -2)))**2)*-6.\nAnswer: -1074 - 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 125, -4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75659326.\nAnswer: 2, 887, 42649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.104503 to 2 decimal places.\nAnswer: 30.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3435 and 3?\nAnswer: 3438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -12*o + 9*o + o**2 + 3*o**2 - 1 - 3*o**2. What is t(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 8\/20)\/(2\/5280).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4117019 * 0.2.\nAnswer: 823403.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7 - 8. Let a = 7 - z. Calculate the smallest common multiple of a and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 24041, -1415?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 998 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*g + k + 30, -3*g = 3*k - 27. What is the closest to 1 in 2, g, -0.12, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 430*-0.3.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.6342 rounded to the nearest 10?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 8*b - 12. Suppose -b*t + 26 = -5*y, 5*t + y = -0*y + 6. Suppose 3*p + t*h + 3 = 11, -5*h + 6 = 4*p. Solve -3 = -p*c + 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -122, -130, -152, -194, -262, -362, -500?\n\"Answer: -z**3 - z**2 + 2*z - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 + 6*g**2 - 5*g - 2. Let k be c(3). Let i = k - -48. Suppose 2*d + 0*d - 10 = -i*h, 5*d = h + 14. Let x(p) = -9*p + 1. Calculate x(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 r when four letters picked without replacement from zztrrttcrtzrtzzz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 40a6aa5?\nAnswer: 40a6aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4204431 (base 6) to base 12\nAnswer: 99717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:09 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -449039 + 2594377.\nAnswer: 2145338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from {x: 5, w: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -335.7 + 336.2. Which is the nearest to 1\/3? (a) -0.048 (b) 0.4 (c) -3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 1. Let h(f) = 3*f**2 + 5*f - 3. Let a(t) = -2*t**2 - 3*t + 1. Let o(l) = -5*a(l) - 3*h(l). Give 2*m(x) + o(x).\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4831104.\nAnswer: 2, 3, 23, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72985*b**3*s**4 - 101447*b**3*s**2 + 3*b**3*s - 10*b + 53*s**3 wrt s?\nAnswer: -1751640*b**3*s + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-6)\/(-105))\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7753536.762013 - -2\nAnswer: 7753538.762013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j + 3. Let k(t) = -1. Let a(n) = 5*k(n) + 5*o(n). Let y(p) = -p**2 + 11*p + 69. Let s be y(15). Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 9. What is z(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Suppose 0*d - d = -h*b + 35, 6 = -3*d. What is the remainder when 41 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 183 + 57. Let u = m + -700\/3. Solve 5 + u*j + 5\/3*j**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2732051614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42558540 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -105237954\/25 not equal to -4209518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -8*d + 10*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 1887?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3075228 (base 9) in base 14?\nAnswer: -30b227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201020002 + -201?\nAnswer: -1201020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 4*s**5\/15 + s**4\/12 - s**3\/6 - 1272*s**2. Determine t(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 10:13 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*f + 3248 + 640 = 28*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = -2*c, -3*c - 10*v - 7 = -9*v. Let s(w) = 17*w**2 - 10*w - 2. Is 31 a factor of s(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/12 and -27\/106.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5651.\nAnswer: 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q + 19710 = 57*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 - 5*g - 2. Let p(c) = -5*c + 19. Let o be p(4). Let h be n(o). Is h less than -1\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 211.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-609)\/12)\/((-2)\/8). Suppose 22*p - 68 = -2*b + 27*p, -3*b - 4*p = -79. What is the greatest common factor of b and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-6 - (-3 + -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v - 5*v + 3*b - 3, 10 = 2*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 14573708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4560 is divided by 593.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*2\/(-3)*3. Suppose -5*l + 156 = p*c, 122 = 4*l + 2*c - 2. What is the greatest common divisor of l and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -9 + (-3 - -5) + -3 + 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6961000 rounded to the nearest 100000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 9) in base 14?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 132b5 + -2?\nAnswer: 132b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + q = -225, -2*q = 5*r - 1097. Let m(h) = -106*h + 328. Calculate the lowest common multiple of m(3) and r.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, 0, 2, 4, 6?\n\"Answer: 2*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3899 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108125875 and 825.\nAnswer: 324377625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -9*h - 199. Give x(6).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjsc when four letters picked without replacement from {j: 6, s: 8, c: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - -4.246536904718?\nAnswer: 40.246536904718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4215)\/(-21) + 14\/49. Find the third derivative of -2*p**2 - 201*p**4 + i*p**4 + 25*p**6 wrt p.\nAnswer: 3000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8852.508l in millilitres?\nAnswer: 8852508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.75 take away 0.1?\nAnswer: 239.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**(2\/3)*y)\/y*y)\/y)**18)**10)**(-26) assuming y is positive.\nAnswer: y**(-3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 999 divided by 54620.\nAnswer: 999\/54620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (142\/648 - 3) + 8 + 10\/(-2) and 37\/99.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/63 + -2\/9. Let u = -33 + 38. Let n = 4 - 6. Which is the closest to n? (a) -3 (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**3*w + 173*q**3 - 14*q**2*w - 33*q**2 - 334*q*w + 4*q + 340*w wrt q.\nAnswer: 24*q*w + 1038*q - 28*w - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**4\/12 - g**3\/3 + g**2\/2 + 2*g. What is the units digit of j(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3001221445.\nAnswer: 5, 31, 859, 22541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-1\/18)*r*r**(-4\/7)*r*((r**(2\/5)*r)\/r)**(-1\/4)*r**(-2)*((r\/(r*r\/r**(2\/15)))\/r)\/r*(r**(-2\/9)*r)**(-6\/7) assuming r is positive.\nAnswer: r**(-992\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.064 + -969.236. Round b to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4596371363?\nAnswer: 983, 4675861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8264, -1\/7, -0.5 in decreasing order.\nAnswer: -1\/7, -0.5, -5, -8264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498589 is divided by 23741?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 611\/5 (b) -3 (c) -0.01 (d) -80 (e) 4 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 6*d + 2*d + 11 = 0, -5*q - 2*d + 13 = 0. Suppose -q*r - 3*r = 78. Let f = 14 + r. Solve -4*j = -f + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 3.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/60 + 7*f**3\/3 + 22*f**2. Differentiate w(c) with respect to c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -31. Solve -5*q - 4 = z*w, q - 5*q + 5*w + 5 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 - 103. What is the closest to n in -4, -5, 3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 592552 by -4.\nAnswer: -148138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28625 is divided by 2199?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*y - 100 + 1275, t - 290 = -3*y. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6. Suppose -4*m + 5*u = -7*m + 35, -u + 4 = t. Which is the nearest to -1? (a) 1 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuspnyo. Give prob of picking 1 n and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.141 - -0.159. What is the third biggest value in 1\/4, 4.2, -1, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 60 = -17. Let c = v + -38. Calculate the highest common factor of c and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171*(-40)\/(-40280))\/3.\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -13, -24, -39?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Let x(p) be the second derivative of -13*p**4\/12 - 9*p. Determine h(x(r)).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 194\/12 - 4\/24. Suppose 13*y - g = 5*y. Solve 2*x - 4*j = -2*j + 2, -y = 5*x + 2*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2010014 - 55?\nAnswer: 2006626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = -4. Let a(j) = -2*j**3 - 5*j**2 + 3*j + 6. What is the remainder when a(f) is divided by 20\/90 - (-399)\/27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12324641 (base 7) to base 4\nAnswer: 10100121233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4929164 divided by 1232291\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1821207*v + 5*v**3 + 1821191*v - 2*v**3 - v**3 - 3642398*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((5 + -4 - -1 - 1) + 10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = 11*l - 434. Which is the nearest to -0.2? (a) -7 (b) l (c) 0.5 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p. Let y = 24 - 23. Is y bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18dbccb1 + -4?\nAnswer: -18dbccb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-19278)\/(-54))*-17?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 934222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 - -2277438919?\nAnswer: 2277438752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -51, -3, -2, 35 in decreasing order.\nAnswer: 35, 4, -2, -3, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -18*k**3 + 7*k**2 + 15*k + 3. Let l = 410 - 412. Is q(l) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6836 + -6836. Solve 29*p - 24*p - 2*n - 12 = 0, f = -4*p - 2*n + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6411014*o**4 - 588*o + 1806?\nAnswer: 76932168*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**3 - 2. Let j(c) = c + 2. Let l be j(-4). Let s = -8 - -11. Let q(t) = 6*t**s + 1 - 4*t**3 - t**3 - 2. Calculate l*q(m) + z(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33668778*g**4 + g**3 + 510248790*g**2 wrt g.\nAnswer: -808050672*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1980 divided by 6\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a milligram in nanograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3539.0150873852+-0.4\nAnswer: -3539.4150873852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-20) + (-160)\/4400.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 658700.223965+-2\nAnswer: 658698.223965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000212 - -2102000122?\nAnswer: 2110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 454*v**3 + 9*v**2 + 18*v - 9. Let u(f) = -227*f**3 - 4*f**2 - 8*f + 4. Give 4*h(b) + 9*u(b).\nAnswer: -227*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 2*z**3 + 12*z + 0 - 6*z**4 + 8*z**4 - 1 - 3*z to h*z**2 + x*z + i*z**3 + k + v*z**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/33)*v)\/v**(-4\/5)*(v\/(v\/v**(-1)))\/v*v**(2\/3)\/v assuming v is positive.\nAnswer: v**(82\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 2:17 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3115990.7 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 15. Suppose u*k = 5*v - 390, v - 13 = -k + 63. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 5916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11341 (base 5) to base 14.\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 44\/3*u**3 + 0*u**2 - 21 + 35*u. Find the first derivative of b(x) wrt x.\nAnswer: 88*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*c - 8*c + 16*c)*(-3 + 0 + 1) + (2*c + 2*c - 3*c)*(1 - 5 + 1).\nAnswer: -107*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 984890, 1969780, 2954670?\nAnswer: 3939560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33292052?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -27*u**3 - 6*u**2 + 6*u - 29. Let b(h) = -26*h**3 - 5*h**2 + 5*h - 29. Let i(z) = -6*b(z) + 5*n(z). What is the first derivative of i(l) wrt l?\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 4 (b) -37 (c) 233 (d) -4 (e) 0 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 6:45 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 22*p - 540 = 0. Let b(r) = -r + 1. Let x be b(2). Let y be x + 1 - (-86 + -4). Calculate the highest common divisor of y and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 3:10 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/20)\/c)\/c**30)\/(c**(1\/26))**(-9\/5) assuming c is positive.\nAnswer: c**(-8029\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from ozzzozzozzozzz?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(-44) - (-2)\/8. Solve s = -3*l + w + 14, 3*l + w = -l + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 1 + 2 + (sqrt(891) - (sqrt(891) + (sqrt(891) + sqrt(891) + -1)**2 + 4)).\nAnswer: -3566 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -78722*u. Let i(h) = 162*h**2. What is q(i(n))?\nAnswer: -12752964*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15090053 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*g + 5. Solve 0 = -m - g*t + 29, t + 5 = 5*m - 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 780 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - b + 9. Let r(l) = -2*l - 43. Let u be r(-20). Let j be k(u). Let p(m) be the third derivative of -m**4\/4 - 2*m**3\/3 - 4*m**2. Give p(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6616, -13311, -20084, -26935?\nAnswer: -33864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:38 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 909719 + 4?\nAnswer: 909723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1151.06 to the nearest 10.\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + ((-2*-2*sqrt(121))\/(sqrt(704)*-1))**2).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 - -146. Let b = -14 - v. Solve b*q - 5 = 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.55 - 3.29. Let g = z - -1.84. What is the nearest to 1 in 1\/4, 8, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {h: 3, t: 17}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1430132914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 5*m + 3. Let n = 44028 + -43996. Calculate the least common multiple of n and u(-5).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 4:24 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514227?\nAnswer: 3, 7, 47, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -766833 divided by -1?\nAnswer: 766833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 520, 1440, 2360?\nAnswer: 3280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 c, and 1 k when four letters picked without replacement from {c: 1, q: 2, e: 2, i: 3, k: 2, m: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 26. Let n be z(12). Let v(r) = 7*r + 13*r + n*r + 0 - 4. What are the prime factors of v(3)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 635*q**3 - 1120 wrt q.\nAnswer: 1905*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61\/7 - 25\/7. Let s = 1369\/112 + p. Calculate the common denominator of 39\/13 - (-3)\/(-24) and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 42, -5, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 5*z**2 - 7*z + 7. Suppose -6*g + 51 = 15. Determine j(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -84*w**2\/5 + 16881*w\/5 + 603\/5 = 0.\nAnswer: -1\/28, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1374 - 537. Suppose -6*l + 273 = -u. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 17*n**2. Let m be i(-17). Solve -2*r - v - 1 - 7 = m, 0 = 3*r - 2*v + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6092*j**2 - 344*j - 32. Let m(u) = -1218*u**2 + 70*u + 6. Let c(w) = -16*m(w) - 3*v(w). What is the second derivative of c(g) wrt g?\nAnswer: 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251796857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/421 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 562*f**2*p**2 + 26*f**2 - 25*f*p**2 + 2*f - 332 with respect to p.\nAnswer: 1124*f**2*p - 50*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:45 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18497438 by 7.\nAnswer: 18497438\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -653*v + 665*v - 2496. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1333 - -223?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 5*x**2 + 12*x + 2*x**3 - 14*x to i*x**2 + w*x**3 + f + g*x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**6\/120 + p**5\/20 + p**4\/24 - p**3\/6 - 3*p**2. Let d be q(-2). What is the highest common factor of d and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58439577.75 rounded to the nearest one hundred thousand?\nAnswer: -58400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 - 108 + 90 = 2*l - 2*x, -5*l + 153 = 3*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 0*k**3 + 0*k**3 + (-67*k**3 + 15*k**3 + 14*k**3)*(2*k + 2*k - 9*k).\nAnswer: 188*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -5 - (-301 + 0). Suppose -11*f + b = -646. Suppose -13*w + 70 + f = 0. Calculate the highest common divisor of 8 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*sqrt(143)*2)\/((sqrt(121)*1)\/sqrt(11)) + (sqrt(351)\/sqrt(3) + sqrt(1300) + (-2 + sqrt(1300) - sqrt(1300))**2 + sqrt(1300))*1.\nAnswer: 4 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4\/5*o**3 + 0 + 6\/5*o**4 - 2\/5*o**5 + 0*o**2 + 0*o = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1)\/(-2 - (-25)\/10). Solve 2*p + 6 = -s, -5*p - 32 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97067?\nAnswer: 113, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d. Suppose 4 = 2*w - 2*y, -4*y - 8 = -0. Let k(v) be the third derivative of 10*v**2 + w + 0*v - 1\/60*v**5 + 0*v**4 + 0*v**3. Calculate k(l(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, q: 2, k: 1}. Give prob of sequence rkq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*2*5*1*2)\/(sqrt(108)*-4 - sqrt(60)\/(sqrt(20)\/sqrt(4))).\nAnswer: -20*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h - 33. Let n be d(-6). Let s be (-101)\/n + (-2)\/9. Suppose 0 = -9*b + 25 + s. Solve 0 = -q + 2*q + b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -248, -3, -2 in decreasing order.\nAnswer: -2, -3, -6, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02795 rounded to 3 decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 2*h**2 + h**2)*(-6 + 1 + 1) + 0*h**2 + 9*h**2 - 2*h**2.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 1. Let x(o) = 6*o + 4. Give 2*s(w) - x(w).\nAnswer: -4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1330*j - 2235*j + 1269*j + (-j - 3*j + 2*j)*(2 - 1 + 0))*(-j - 3*j + 3*j)*(j - 3*j + j) in the form d + a*j**2 + i*j + h*j**3 and give h.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 5 = 5*g. Is 1902\/5*5\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24277511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooqqoo. Give prob of picking 2 q and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84133.\nAnswer: 7, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Suppose -5*j - 7 = 18, m = 5*r + 2*j. Let a be 468\/28 - 2 - (-6)\/21. Calculate the highest common factor of a and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 3. Let k = 1.025 + -1.125. Which is the nearest to h? (a) -15 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 2*r = 246 + 206 - 355, -4*w + 3*w - 3*r = -13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - 0 - (-358 + 403)) + 0 + 1.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1430 + -266. What are the prime factors of w?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*v*x + 38421419*v + 1464510*x**2 wrt x.\nAnswer: -5*v + 2929020*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -53154b4 (base 12) to base 9\nAnswer: -32488241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**5 + 0*l**4 + 0*l**6 + 90*l + 5\/2*l**7 + 0*l**2 + 12*l**3 + 0. Find the second derivative of c(i) wrt i.\nAnswer: 2100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + 20*w**2 + 26*w - 24. Let q be d(-12). Let f = q + 917. Solve -4*v = -f*c + 7, -3*c - 2*v - 6 = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -34378?\nAnswer: -68756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 59 - 17 = 0. Factor -54 - q**x + 64 + 27*q**2 + 37*q + 7*q**3 - 8*q.\nAnswer: -(q - 10)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 6*i + 3*i + 12 = 0, 3*c = -4*i + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tnnnnttnttnntt?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiuubaiiaui. Give prob of sequence auu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 2. Let b(o) = -8*o - 52. Let q be b(-21). Let g = q + -108. Give s(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 9:27 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(52) - 3*sqrt(637).\nAnswer: -17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/5)\/((f*f**(-1\/2))\/f*f)*(f*f**3)\/(f*f**(-3\/2)*f) assuming f is positive.\nAnswer: f**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.6. Let n = y - -1.6. Let d = -44979 - -44978.8. Sort d, -2\/15, -4\/3, n.\nAnswer: -4\/3, d, -2\/15, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5457393.81 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -973 - -1123. Calculate the remainder when d is divided by 140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and -1.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18 - 14 - 12)\/(-1 - 1). Solve 13 = c*x + b, 4*x + 3*b - 7 = -0*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 - 383*f + 383*f + 20*f**3 + (5*f**2 - 8*f**2 - 3*f**2)*(2 - 2 - 5*f) as h*f**2 + s*f**3 + k + a*f and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 29*f**2 + 66*f + 48. Let i be d(31). Let j be 6\/(-30) - i\/(-10). Solve -3*r - 27 = -3*z, z - 3*r = -0*r + j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133 - 4444*b + 6457*b + 7947*b - 133 to the form m + s*b and give s.\nAnswer: 9960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1007*u = -1018*u + 10890. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1120928 by -368.\nAnswer: 3046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232 and 12122?\nAnswer: 48488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19004 and 10686.\nAnswer: 101538372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 10. Let i be w(12). Let r(q) = -3*q**2 + 5*q**2 + 4*q**2 - q**i + 5. Calculate the remainder when r(-4) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 + 111. Let s(p) = y*p - 4*p + 0*p - 2*p. Let r(k) be the first derivative of 7*k**2\/2 - 1. What is r(s(v))?\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k - 1. Suppose -2*w + 4*w = -2. Calculate c(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 43*p + 94. Let t = -206 - -251. Let x be g(t). Solve -c = x*v - 3*c + 14, 0 = 2*v - 4*c - 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -3\/2*y**2 - 5*y + 0 + 1\/3*y**3. Let m(d) = -d + 3. Let g be m(0). What is n(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -2.415.\nAnswer: -2.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 2*d + 2*d)*(-3*d - 7 + 7)*(3 - 3 + 1).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 105731.7 = -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2820695*h**2 + 1660157*h wrt h?\nAnswer: 5641390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t + 5*t - 6*t)*(-t**2 + 2*t**2 - 2*t**2).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3*h**2 - 23*g**2*h**3 - 5*g*h + 1423*h**3 wrt g.\nAnswer: -6*g**2*h**2 - 46*g*h**3 - 5*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73626871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*((18 + 25 + 77)*(2*l - l - 3*l) - 14*l + 40*l - 6*l) + l + 1 - 1.\nAnswer: -439*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-191)\/((-20055)\/42))\/((-3)\/(-780)*14)\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5903, -5904, -5905, -5906?\nAnswer: -5907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1759 = 7*n - 3*d, 0 = -4*n + 2*d + 1762. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 23. Solve k = -4*d - 0 - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011000000 (base 2) to base 12.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h = 415*h + 8169 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1725183093?\nAnswer: 3, 575061031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/464, 2\/3, -16.79 in decreasing order.\nAnswer: 2\/3, 3\/464, -16.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -901, -480, 231, 1232?\nAnswer: 2523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1327*t - 6618. Give g(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19929319237840 and -11?\nAnswer: 19929319237829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/(-15) + -2)\/(1\/84). Let q = 58 - x. Suppose q*a + 8 = 0, 0 = -2*m + 4*m + a - 392. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 23 (c) -5454\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -3*u**5\/5 + 21*u**4\/2 - 61*u**3 + 126*u**2 - 108*u + 559. Factor d(l).\nAnswer: -3*(l - 6)**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 425 - 425.114. Round f to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*t**2 - 60291*t**4 + 60310*t**4 + 14*t + 1 as y*t + l*t**4 + f + s*t**3 + u*t**2 and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-3 - 2) - -4. Suppose 0 = 3*v + 2*v. Let s be (-3)\/(-1) + -10*92\/115. Sort t, -2, s, v in increasing order.\nAnswer: s, -2, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 12. Let h = f - 5. Let m = 3.9 - h. What is the closest to -1 in -0.5, -3, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - d - 9, -d + 0 = 2*i - 1. Let r(s) = 0 - 1 - i + 0*s - s. Calculate r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 9:47 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2))**(1\/9)\/((j\/(j\/((j*j**6)\/j*j)))\/(j**(-3\/7)\/j)))\/((j\/(j\/(j**2\/j))*j*j*j**6)\/((j**(-1\/4)*j)\/j)**(-2\/73)) assuming j is positive.\nAnswer: j**(-79867\/4599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-30))\/(186\/(-62))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 59041, 118084, 177127?\n\"Answer: 59043*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -300*o**3. Let m be q(-1). Suppose 0 = -2*h - 880 + m. Let r be -1*(-1 - -5)*h. What is r rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/23))**(2\/9)\/((y\/(y*((y\/(y*y**(-5\/7)))\/y)\/y))\/((y*y**17*y)\/y*y)) assuming y is positive.\nAnswer: y**(8654\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c + 703. Give p(67).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/10 - 1836680\/(-341275).\nAnswer: 90\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143*j*s**3 + 2*j*s**2 + 710*s**4 + 61714 wrt s.\nAnswer: 858*j + 17040*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 + 3.17. Let s = 0.12999888 + z. What is s rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 9*x + 20. Let z be v(7). Suppose z*l + 76 = 22. Let m be l + 6 + -48*(-6)\/93. Is 0 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 - 3*k - 4. Let i(l) = l**2 + l + 1. Give -3*i(t) - n(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + -14 + -17 + (5 - 73)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8640 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + 17. Let k be (-2)\/(1\/(-5) - (-19)\/g). Is 41 a factor of (-982)\/(-6) - 3\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0611 + -0.5611. Which is the second smallest value? (a) -0.02 (b) z (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 33*g**2 + 40*g + 7426. Is c(-143) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k = 138 + 150 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**4\/4 + 43*b**3 + 224*b**2 + 5612. Find the second derivative of f(a) wrt a.\nAnswer: 6*a + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rojhhrjzzohozjjj. Give prob of sequence jo.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 3*t - 3. Let u be v(3). Let f(w) = 2*w**2 + 3*w - 3. Let a(h) = 1. Let g(d) = u*a(d) - f(d). What is the second derivative of g(z) wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3118)\/480)\/1 + 6 and -73\/90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xuuuuuuuuxxuxu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 4 + -32 + 19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32920581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -194, -386, -578?\n\"Answer: -192*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 4. Let c(j) = j**2 - 6*j - 3. Let g = -44 + 59. Suppose s = -5*z - 4*s + g, z + 6 = -4*s. Let i be c(z). Determine x(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + c)*(-5*c**2 - 3*c**2 - c**2 + 3*c**2 - 3*c**2 - 2*c**2 + (5*c - 4*c + c)*(0*c - 6*c + 4*c) + 10*c**2 - 3*c**2 - c**2).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -32?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3 - 13. Let h(q) = 4*q + 7. Let k(m) be the second derivative of -m**3\/2 - 3*m**2 + 8*m + 2. Let a(p) = v*h(p) - 3*k(p). Calculate a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1911.3 + -1751. Round l to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 10. Suppose -w = c*v - 3*w - 34, -3*v - 4*w = -51. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 0*z + 513 = 0. Find the common denominator of 53 + z - (-1)\/6*61 and -36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 41746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 18*y**2 - 2*y + 4. Let n(m) = -18*m**2 + 2*m - 5. Let i(p) = 3*n(p) + 4*z(p). Determine i(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 50\/3. Let g = -0.01 + 0.09. Let h = 2.09 + -2.59. Which is the nearest to x? (a) -2\/3 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4997785 or -54975630\/11?\nAnswer: -4997785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q - 179354890543 + 179354890543.\nAnswer: 29*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568454 = -22960*h - 1196213 - 703921 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(((-7)\/63)\/((-58)\/261))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -245\/717 - -2\/239. Let z(t) = 3*t - 6. Let m be z(5). Let f be (6\/4)\/(m\/(-24)). Which is the closest to -0.1? (a) -0.1 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/4428 and 119\/99486.\nAnswer: 24473556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + -2*sqrt(7)*6 + sqrt(7) + -2)*3)**2.\nAnswer: 3564*sqrt(7) + 68931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*n**3 - 4\/11*n**2 - 26\/11*n - 20\/11.\nAnswer: 2*(n - 5)*(n + 1)*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.51 - 5.1. Let i = 0.09 + l. What is the nearest to -0.1 in 0, -5\/6, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 22898308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-22 - -27 - (0 + -6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160 + 234. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54747 to the nearest 100.\nAnswer: -54700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3\/9 - 10*d**2\/3 - 72. Determine t so that k(t) = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*x**4 - 16*x**3 + x + 117322 with respect to x.\nAnswer: -152*x**3 - 48*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (133 + 2)*28\/6. Suppose 4*h + s = -14*h. What is the second biggest value in 1, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -6, -2\/7, 1\/4, 4\/5 in decreasing order.\nAnswer: 1, 4\/5, 1\/4, 0, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -318 - -340. What is the remainder when 219 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.96 - 6. Let d = -0.04 - m. What is the closest to 1\/4 in -0.4, -1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - 5 - -22 - -6 - 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 46.95 + 27868\nAnswer: 27914.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0691226 to four dps.\nAnswer: 0.0691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - h - 38 = 4*h, 108 = 4*j - 2*h. Suppose 3*s - j = k + k, 2*s = 3*k + 21. What is the greatest common divisor of s and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 366*d + 85. Suppose -78 = -5*r - r. Is y(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**3*v**4 - 3*c**3*v**2 - 3*c**3 + 14*c**2*v**5 + 9*c**2*v**2 wrt v.\nAnswer: -144*c**3*v + 840*c**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -8. Let d be 2\/(-10) - 11352\/(-10360). Let x = 12\/37 - d. What is the third smallest value in u, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4\/5 + 798*w**3\/5 + 18338*w**2\/5 - 135078*w\/5 + 23188 = 0.\nAnswer: -374, -31, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(8 + (-363)\/48).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 20. Let z(u) = u**3 + 5*u**2 + 5*u + 9. Is 2 a factor of z(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 196 = -82*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -485*u**4\/12 - 2396*u**3\/3 - u + 1258. What is the second derivative of f(b) wrt b?\nAnswer: -970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**2 - 2*k + 2. Let p(l) = -l**3 + l**2 + l - 18. Let x(m) = -p(m) - 2*w(m). What is x(15)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*o - 191 + 104 - 31*o + 32*o + 102.\nAnswer: -176*o + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 10:35 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n + 1. Let q(z) = 9*z**3 + 4*z**2 - 4*z - 4. Let o(w) = -q(w) + 4*s(w). Differentiate o(l) with respect to l.\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 + 3*y**2 + 1 - 7*y + 3*y**2 - 5*y**2 to the form t*y + o + b*y**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 190 - 186. Solve 0 = -l + b*i - 5, 0 = 4*l - l + 5*i - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110918?\nAnswer: 2, 3, 185153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1433011 + 0?\nAnswer: -1433011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48306?\nAnswer: 2, 3, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 381*((-1612)\/23529)\/13 - ((-1)\/1 + -1)?\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(4\/7)\/(j*j\/(j**(-10)*j)))\/((j\/j**(-1\/4))\/(j\/(j**(-8)\/j))))**(2\/3))**(-35\/4) assuming j is positive.\nAnswer: j**(235\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8092128 and 166848.\nAnswer: 16184256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Is 25 a factor of (-5)\/(1*s\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g. Let y(d) = 307*d**2. What is y(s(c))?\nAnswer: 4912*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 4*p**3 + 0*p**2 - p**4 - 69\/10*p**5 - 2*p + 45\/14*p**7 + 0 - 3\/10*p**6. Find c, given that x(c) = 0.\nAnswer: -2\/3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.051 + -0.051. Let i = 22 - 22.05. Which is the smallest value? (a) -1 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**3\/3 - 5. Let s(q) = 3*q**2 - 5*q**2 + 3*q**2. Calculate s(p(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 14. Let f(l) = -1. Determine 4*f(d) - r(d).\nAnswer: -2*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/7 - 3604*v**3\/7 - 863712*v**2\/7 + 248832*v = 0. Calculate v.\nAnswer: -216, 0, 2, 2016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -8713 - 16007. Let f be z*(10003 + -3)\/(-4). Round f to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -770963*m - 693939 wrt m?\nAnswer: -770963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1250982?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -43) + -25 + -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/12 - (-100)\/120. Is 9*(p - (-25)\/15) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - w - 2 = 0, -2*d - 3*d + 6 = 4*w. Let k be (d - 2838)\/(2 - 56\/26). Round k to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52055, -104106, -156157?\n\"Answer: -52051*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-8)*(-4)\/(-10). Let t(y) = -2*y**2 - 10*y + 12. Let u be t(-6). Which is greater: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 269052 and 6972.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55076 is divided by 18078.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + g**3 + 1 - 15*g - 23*g.\nAnswer: -2*g**3 - 38*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114 - 43300410?\nAnswer: -43300252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*w - 316*w + 13621 - 1841 = 0 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhhf when four letters picked without replacement from hhhdffhhdhhdddd?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*-1 + -3)*-5)**2 + 0 + (4 + (sqrt(325)*2 - sqrt(325)))**2 + sqrt(325) + sqrt(325) + -2 + 1 + -2.\nAnswer: 800*sqrt(13) + 8688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.136 times -2967\nAnswer: 403.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 0*m - 84 - 1\/2*m**6 + 9\/4*m**4 + 0*m**5 + 0*m**2 - 2*m**3. Solve g(x) = 0 for x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49627187?\nAnswer: 31, 1600877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9694 = -160*x - 17*x - 85*x for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 98826?\nAnswer: 98826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 6 + 0 - 1. Find the third derivative of -7*g**3 + 9*g**x + 13*g**4 + 8*g**3 - 33*g**2 + 0*g**4 wrt g.\nAnswer: 528*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, 157, 295, 385, 421?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**5\/10 - 3*z**4\/4 + 17*z**3\/2 + 2*z - 3. Find the second derivative of q(v) wrt v.\nAnswer: 12*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(180) - sqrt(5)) + -3.\nAnswer: -3 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let p = 0.2 - q. Let z(y) = 3*y + 5. Let u be z(-2). Which is greater: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (-15 - -49) - (2 - (-68 - -2)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 78*j**2 + 587*j - 7. What is the remainder when p(8) is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*504.\nAnswer: 201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 224 = -3*y - 0*w, 0 = -y + 2*w + 63. What is the remainder when y is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 211*v**4 - 3*v**3 + 3*v + 403. Let f(k) = -k**4 + k**3 - k - 1. Let q(a) = 3*f(a) + j(a). Find the first derivative of q(r) wrt r.\nAnswer: 832*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19232, 39294, 60174, 81866, 104364?\n\"Answer: -w**3 + 415*w**2 + 18824*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -325, -2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssxx when four letters picked without replacement from xixxxsssxikxs.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 17. Let n be ((-5)\/3)\/(j\/(-222))*2. Let m be (-4)\/(-10) - (-736)\/10. What is the highest common factor of m and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/24702073 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w**2 + 9*w**2 - 5*w**2 to v*w**2 + x*w + f and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 5. Let z = -21 + 29. Let a(o) = o - z + 13 - t. Give a(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 19*l**3\/3 + 310. Let k(p) = 6*p**2. What is k(n(o))?\nAnswer: 2166*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/11 + 8375*w\/11 - 8376\/11.\nAnswer: (w - 1)*(w + 8376)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(17) - sqrt(17)) + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5677001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o. Let g(k) be the second derivative of -k**5\/120 - k**3\/2 - 2*k. Let h(a) be the second derivative of g(a). Give x(h(q)).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i + 139. Let k(r) = -16*r - 90. Let q be k(-4). Calculate the remainder when 15 is divided by h(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((14 - 11) + -2 - -5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 6. Let v = 0.6 - 4.6. Let m = -2\/9 - -5\/9. What is the closest to m in k, 2, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 49*r**2 - 332*r - 70. Give q(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 569 + -461. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = k + 4*u + 222, 0 = -3*u - 3. Let r = -211 - k. Solve q + y + y + r = 0, -36 = 5*q + 4*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46928 - 46928.00118126. Round b to 5 decimal places.\nAnswer: -0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 16 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5371\/320 - -84\/5. What is the closest to w in 1\/5, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 41*g**3\/6 - 135*g**2 - 3*g + 4. Is u(28) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697 = -35*y - 802 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*y + 8103 = 8103. Let j(b) = b**2 + 3*b - 4. Let n be j(-4). Let q = 3 + n. Solve y = -d - q*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - t - 386, m - 6*m + 486 = -3*t. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnta when four letters picked without replacement from hwtkattttnt.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 256648?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87\/5 - -773\/45. Put 0, g, 1\/7 in increasing order.\nAnswer: g, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*q + 2*q. Let v be -128 + (0\/q)\/(-2). Let o = v + 179. List the prime factors of o.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/5 + 1. Let i = -0.09 - -0.89. Let u = 0.5 - i. Sort -4, k, u.\nAnswer: -4, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 2. Let h(n) = 15439*n**2. Give q(h(m)).\nAnswer: 61756*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*x + 28 = 0, o - 4 = -3*x + x. Solve -o = -i - i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 7, -13, 53, 5 in ascending order.\nAnswer: -13, -2, 4, 5, 7, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*c + t + 6, -3*t = 5*c - 16. Suppose 7*w - c = 37. Solve 3*q + 21 - w = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -214*q**2 + 330*q**2 + 1261*q**2 + 1324*q**2 as n*q + j*q**2 + i and give j.\nAnswer: 2701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -5, 1\/9, -0.3, 2946, -4, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 386497*h*j*l**3 + 240*h*j*l**2 - h*j - 2*j*l**3 + 136*j wrt l.\nAnswer: 2318982*h*j - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*n - 2*n. Suppose -5 = 3*m - 0*m - 4*j, -n*j + 40 = 5*m. Suppose 252 = m*z - 298. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -84 + -12de?\nAnswer: -1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -31*x**3\/2 + 235*x**2\/2 - 8*x. What is the derivative of o(t) wrt t?\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {b: 6, z: 12, k: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13535)\/3)\/(11\/(-33)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2816 and 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -188579.9 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 68211*q - 68210. Determine k(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19221 and 903?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 59015868?\nAnswer: 1475396700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8566875137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134 + -139. Let q be (-7 - -1448)*-55 + w. Round q to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) 11 (b) 3\/4 (c) -5 (d) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*g + 45. What are the prime factors of (6\/g)\/((-1)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 3:28 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -3. Suppose 21 - 6 = d*u. Suppose -b + 4*y + 27 = y, 4*y = -b - 8. Solve u*g - g - 3*l = -9, 0 = 4*l - b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1881.32, -2\/15, -0.3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12 - 12 = 0. Suppose -244*b + 251*b - 7 = 0. What is the smallest common multiple of b and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723677 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-504)\/588)\/(-4 + 274\/70)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = 361 - 371 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 3, x: 3}. What is prob of picking 1 y and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134723*z**2 - z - 949714.\nAnswer: -269446*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 31. Suppose -t*m - 756 = -18*m. What is the highest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8\/4*(-36)\/28*-7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 101*l**4 + 4*l + 30. Let h(p) = p**2. Give y(h(k)).\nAnswer: 1212*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(-6*(-25)\/40)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**5\/60 + 5*v**3\/6 - 5*v**2. What is the derivative of w(z) wrt z?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**3 + 6. Let g(y) = -421*y**3 + 4*y + 11264. Let z(b) = 4*c(b) + g(b). Differentiate z(k) with respect to k.\nAnswer: -1167*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + sqrt(1700) + -5 + sqrt(1700) + sqrt(1700) + -1) - -3*3*(sqrt(1700) + -1*sqrt(1700) + -5))**2.\nAnswer: 6480*sqrt(17) + 138996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/164)\/((-251)\/1004)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -36*n + 34*n - 36, -3*n - 99 = 8*g + 7*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 10, -105, -298, -569, -918, -1345?\n\"Answer: -39*l**2 + 80*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m*m**9)\/m)*m**(-2\/29)*m**(-2)*m**(1\/15)\/m assuming m is positive.\nAnswer: m**(-4786\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 4*s**2 - 13 + s**2 + 4*s**3 - 2*s. Let w(d) = d**3 - d**2 - d - 4. Let u(x) = 2*r(x) - 7*w(x). Determine u(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millennium in years?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/11124 and 35\/1854?\nAnswer: 11124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34735*s**2 + 12294*s**2 - 2628*s**2.\nAnswer: 44401*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315 is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 13) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1180*h**3 + 10*h**2 - 20*h - 5. What is the tens digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 16*q**2 + 38*q + 28. Let z(c) = -4*c**3 - 32*c**2 - 76*c - 58. Let a(v) = 10*b(v) + 4*z(v). Let a(h) = 0. What is h?\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 310.\nAnswer: 4\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + 3.05. Let l = 0 + m. Put l, 5, 0 in increasing order.\nAnswer: 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1258 to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-8)\/1)\/4)\/(-13))\/1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 16*v**2 - 11*v - 17. Let b be u(7). What is the hundreds digit of (-42460)\/(-100) - -1*b\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3\/7 (c) -1\/37 (d) -18 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 - 2*r + 3*r + r)*((1 - 1 - 2)*(0*r + 0*r + 2*r) + 7*r - 6*r - 18*r) to s + j*r + o*r**2 and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + 4)\/2*(-2 + -1). Suppose r*a - 31 = 2*y, 0*a - 2*a = -y - 19. Let b(i) = -6*i - 6. What is the remainder when b(-4) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2823 from 321.\nAnswer: -2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -133 and -135 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -84c0a19?\nAnswer: -84c0a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, j: 9, b: 4}. What is prob of sequence bjb?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1073, -2175, -3277, -4379, -5481?\n\"Answer: -1102*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k + 0*k)*(-1 + 0 - 9)*(-4 + 4 - 1).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w + 7*w - 12*w - w + 0*w - 3*w + 5*w - 3*w - 3*w + (-1 - 1 + 4)*(-2*w + 6*w - 3*w))*(23 - 12 + 19).\nAnswer: -510*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144306.999919483 + 144307. What is v rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -56*5\/(60\/(-9)). Let i be (-1)\/2 - (-9)\/l. Let t = -0.07 + -0.03. What is the nearest to t in -0.5, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -9. Suppose -5*d + 4*d = -x. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 34\/5 of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 - z**3 + 0 - 5 + 6*z + 9. Let h(x) be the third derivative of x**6\/120 - x**5\/12 + x**4\/12 + x**3\/2 - 2*x**2. Let d be h(4). Give w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 8*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 54814062 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.023071825 to three decimal places.\nAnswer: -1.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-112)\/(-35))\/(-4))\/((-40)\/3050*1)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2798840*z**4 + 4123212*z?\nAnswer: 33586080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 480 = 2*t, -4*r - 5*t - 81 - 336 = 0. Put 0, -1, r in decreasing order.\nAnswer: 0, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 9872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + -0.1. Let o = c + -0.3. Suppose -42 + 204 = -27*m. What is the third biggest value in o, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110249 is divided by 644?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/5 (b) 2 (c) 30\/47 (d) 0.4 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30566111 (base 7) to base 16.\nAnswer: 273bb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 344*s + 3077. Is l(52) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + ((sqrt(10)\/sqrt(2) - sqrt(5))*6 - sqrt(5)) - sqrt(5))**2 - -4*sqrt(10)\/sqrt(2)) + -5.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {h: 4, w: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -153, -164, -189, -234, -305, -408?\n\"Answer: -r**3 - r**2 - r - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (3 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -345*g + 35. Calculate q(1).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*s)*(-2*s**2 + 2*s**2 + 3*s**2) + (-2 - 2 + 1)*(s**3 + 2*s**3 + 0*s**3).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 1 (c) -1\/2 (d) 0.083 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 45150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/13 + 752*j**2\/13 + 16238*j\/13 = 0.\nAnswer: -353, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -6, -10, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -46. Let c be (-71)\/(-5) + i\/40. Let b = 16 + c. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 2\/7 (c) -9\/539 (d) 232 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icai when four letters picked without replacement from iaazagzcia?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2. Let q(f) = -44*f. Let l(d) = -15*d. Let b(v) = -17*l(v) + 6*q(v). Give b(y(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 33*u**2 - 2*u + 5. Let t be 4 + 20\/(-2)*(-24)\/(-40). What is the hundreds digit of h(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 3518119.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 24, 12*u = 13*u - 4*x - 52. Calculate the remainder when 3338 is divided by u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496447197.\nAnswer: 3, 5189, 31891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 6 = -0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 6) + 2 + 1 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 1:19 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 - 53*n**2 - 20*n + 156. Let q be p(-26). What is the smallest value in 0.07, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taa when three letters picked without replacement from {p: 1, t: 7, b: 2, a: 9, f: 1}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -146 + 304 + -101.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 55*g**3 + 452*g**2 + 454*g + 7. Determine n(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (36*35\/720)\/(((-2)\/2)\/1)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1111000?\nAnswer: -1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2797202 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 r be 8\/(-10) + 12\/15. Suppose -2*w - w - 5*y + 4 = r, y + 4 = 0. Suppose -3 = -5*x - w. Is -4\/19 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 73, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*v - 28 = 0, 3*l + 5*v - 23 = 3. Suppose 2*b - 4 = -5*y, l*y + 10 = b + 4*b. Suppose 3*d + d = y. Solve k + 3 - 2 = d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/38321 and -8\/10461633.\nAnswer: 10461633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + 38*d - 34. Let m be y(18). Solve m*i = -3*a - 7, -3*a = -6*a + 3*i + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3224*k**2 + 0 + 41*k - 3223*k**2 + 2*k**3 + 0 to i*k**3 + m + p*k**2 + g*k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 147997088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87782.54 centuries to years.\nAnswer: 8778254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1247\/150 + 1\/50. What is the common denominator of m and -29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b482 (base 12) in base 11?\nAnswer: 13873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l. Let p be l*(-1 + -2)\/9. Suppose -4*g = -0*d - 2*d + 90, -4*d - 3*g + 224 = p. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1.24126\nAnswer: -0.124126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -614.9 rounded to the nearest 10?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 58 + 6a1a804?\nAnswer: 6a1a861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab4543 (base 13) in base 12?\nAnswer: -1428131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -243 - -225. Let f be 4\/i*(-4 - 5\/(-2)). Find c, given that -1\/3 + 1\/3*c**2 - 1\/3*c + f*c**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -9. Let q = y - -0.25. Let p = q - 0.15. Which is the nearest to -1? (a) 3\/4 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**5\/630 - 19*i**4\/84 - 110*i**3\/63 - 624*i**2. Factor w(a).\nAnswer: -2*(a + 2)*(a + 55)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 10*x**2 + x. Let w(k) = 1 - 7*k + 7*k + 9*k**3. Let d be w(1). List the prime factors of i(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104850283 is divided by 209.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(78)*1 - (sqrt(78)*2*-6 - sqrt(78)))*4)\/((2*(sqrt(120)\/sqrt(2) - sqrt(60)) + sqrt(60))\/(((sqrt(100)*-1)\/sqrt(10) - sqrt(10)) + sqrt(10))).\nAnswer: -56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2 + 2*b - 3 + 2*b**2 - 2*b + 18*b**3. Let t be g(1). Let n = 50 - t. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219 + -217. Suppose -3*m - 18 = -3*q, 6*m + 5*q = m + 20. Let p(w) = -3*w**3 - w**2 - w. What is the remainder when p(m) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1476311*o - 1476311*o + 3*o**2 + 4 + o**2 - 2*o**2.\nAnswer: 2*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -284550 (base 9) to base 2\nAnswer: -101010011110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.4 - -1.4. Let j = 0.18 - -3.42. Let l = j + v. Round l to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(17\/34). Let h be 4*m\/8*18. Is 24\/108 - 124\/h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00545839 to 5 decimal places.\nAnswer: 0.00546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117395957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*w**2 + 3996 - 3996.\nAnswer: 190*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 549898 times 2.3\nAnswer: 1264765.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -2*p**5\/25 - 3*p**4\/10 - 2*p**3\/5 - p**2\/5 + 145. Solve j(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651580 is divided by 193?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -26*m**3 + 2*m**2 + 34*m - 17. Is j(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-4))\/(114\/(-16)))\/1.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3535916?\nAnswer: 2, 883979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**2)**(2\/25))**(2\/9))**5)**33 assuming i is positive.\nAnswer: i**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:37 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**2*r*r)\/r**(-1\/2)*(r\/(r**(6\/11)*r*r))\/r**(4\/7) assuming r is positive.\nAnswer: r**(675\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(272) - sqrt(272))**2.\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 - -3 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 28 = 52. Suppose -3*w = 3*q + 5 + 4, 5*q + 2*w + 9 = 0. Let i = q + y. Calculate the smallest common multiple of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38855 and 57?\nAnswer: 116565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239 - 50. Suppose -5*u = -5*p + 175, -2*u + j = 6*p - p. Is 0 + (6 - 1)*p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14458734 a multiple of 1893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13982, -34345, -54708, -75071, -95434?\n\"Answer: -20363*u + 6381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1259 divide 37289640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94037 is divided by 5305.\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2 + 36. Let g = -14 - o. Let a be ((-3)\/(-5))\/((-5)\/(-25)). Solve -4*k = -g*k + a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 2531.\nAnswer: -26\/2531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 22*d - 61. Let i be j(12). Solve 48*o = i*o + 55 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 181*g - 147*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 597.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -9 (c) 2\/169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 223110010031?\nAnswer: 223110010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/2197752 and -65\/2472471?\nAnswer: 19779768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23616993 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = 0, 0 = -5*a + 7*a + s + 2503. Let x = a - -1770. What are the prime factors of x?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:00 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 4*u**2 + u. Let n be o(4). Let m be (6\/n)\/(6\/16). Suppose -r + m = -6. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -49*y - 30. Let v be w(-4). Suppose v = 10*r - 11644. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6625 is divided by 728\/(-28) + 66 - 2*5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*a - 1615*a - 3106*a.\nAnswer: -4307*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0\/4)\/(4 + -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -837 times -2.5\nAnswer: 2092.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-589)\/(-4712))\/(1\/16*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/5*665\/(-14)*(-67)\/(26800\/150).\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -23*c + 4. Let i(w) = -22*w + 3. Calculate 5*d(j) - 6*i(j).\nAnswer: 17*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 7. Let u(z) = 6*z**2 - z - 5. Let q be u(4). Suppose -i*h + 13 = -q. Solve 0 = -6*y + y - h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171*d**2*r**2 - d**2*r - 18*d*r wrt r?\nAnswer: -342*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -50 - 3*f + 50 + f. Let n(o) = 4*o. Calculate n(m(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2149 by -44.\nAnswer: -2149\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224476774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, z: 5}. Give prob of picking 2 z and 1 o.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 - 117 = -6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**4\/6 - m**3\/6 - m + 3. Let s(f) be the first derivative of o(f). Let g be s(2). Solve -g*w = -w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(6\/18) + 3. Suppose 0*d - d + 3 = 0. Suppose -4*b + 5*y + 2 = 23, 4*b + d*y - 19 = 0. Solve v = -2*p + k - 9, 2*k + b + 1 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = y - 5*y - 5*t, 3*t = -2*y + 22. What is the smallest common multiple of y and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13211002 (base 4) to base 14.\nAnswer: -b454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1327522, -1327519, -1327514, -1327507, -1327498, -1327487, -1327474?\nAnswer: -1327459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 4:16 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/26704 and -67\/66760.\nAnswer: 133520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 2*a + 11, 6*x + a + 14 = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8997769.8 + -8997799.8000065. Let k = z - -30. Round k to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 255, 202, 129?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 + -76. Let a be d\/(-7) + 38\/(-84). What is the closest to 3\/2 in a, -0.4, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112395 + -25400992?\nAnswer: -25288597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57956017 and 99493.\nAnswer: 2144372629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14*x + 23. Let l(u) = -42*u - 68. Let r(h) = 6*l(h) + 17*n(h). Differentiate r(o) with respect to o.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0)\/((-50)\/(-10))*-1. Solve r = -2*d + 4 - 0, y = -5*d - 4*r + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s**2 + 15*s + 22. What are the prime factors of f(-8)?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1667218 or 1667423?\nAnswer: 1667423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {s: 2, p: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37428*p + 37278*p + 4050 = 0 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*j - 128*j - 603 + 93*j to the form v + k*j and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 7*s + 2. Let h be b(-8). Let t(i) = i**2 - 3*i - 2. Let p be t(h). Suppose p + 32 = 4*r. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/5 or -7280163?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.63 + 14.27.\nAnswer: 11.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*f + 3*y, -y = -3*f + y + 16. What is the greatest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/110*((-16)\/2)\/(-2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (898\/4)\/((70\/100)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8925, -17893, -26861, -35829, -44797, -53765?\nAnswer: -62733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -8.07.\nAnswer: 0.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42822754 a multiple of 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-28))\/((-1)\/(-34)). Calculate the greatest common divisor of 34 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in four sevenths of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 1. Let c(r) = -2*r**2 - 7*r + 6. Let i be (0 - 1)*5*3\/15. Give i*c(f) + 6*b(f).\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Suppose -4*z - x*l = -30, 2*z + 10 = 3*l + 34. What is the greatest common divisor of z and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -3)*(5\/(-6) + 8\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143611399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 - 9*g - 13. Let i be (-2 - 0) + 1 + 3. Let x(d) = 3*d**2 + 5*d + 7. Let w(c) = i*p(c) + 5*x(c). List the prime factors of w(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1810\/905)\/(1\/((3\/(-6))\/(18\/4))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 3907236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 91 = -3*y, -13*y + 104 = 97*t - 101*t + 12 - 109 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, j: 2, i: 2, n: 1, e: 4}. What is prob of sequence rjj?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 4)*(-12)\/10. Let q(s) = 116*s + 4. Let d be q(l). What is d rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 - 6\/(-5). Suppose -3*t - 2*t = -10. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56155756 and 98272573.\nAnswer: 393090292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2 = k - 2*r, 4*k - 4*r + 28 = 0. Let g be ((-6)\/k)\/((-2)\/(-2008)). List the prime factors of (-10)\/25 + g\/5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -14*c**2 - 37 + 37 - 145*c + 145*c. Let x(f) = f**2. What is -a(l) - 21*x(l)?\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114513 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 620 = -319 + 519. Calculate the greatest common factor of y and 13515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21127, 41274, 61421, 81568, 101715, 121862?\n\"Answer: 20147*c + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -2 + (80 - 2). Let r(n) = -3*n - 25. Let y be r(-10). Suppose y*a - 44 = a. Calculate the highest common divisor of a and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9156)\/1090)\/(126\/1050).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 705131315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Suppose -k*b + b = 52. Let s = 14 - b. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 3*u - 3. Let m be 3*(-2)\/(1\/(-1)). Let c(a) = a**3 - 7*a**2 + 2. Let t be c(7). Suppose -t*v = -m*v + 16. What is x(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47480 != -47480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3200))\/((2*sqrt(70))\/sqrt(7))*4.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**4 + b**4 - 4*b**4 + b - b**4 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4224 + 4?\nAnswer: 4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 211222, 422446, 633668, 844888?\n\"Answer: -h**2 + 211227*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1406, 4, 2 in ascending order.\nAnswer: 2, 4, 1406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*u - 5*a - 7310 + 6196, -280 = 6*u + 2*a for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -72\/19, -0.3, 1\/3, 0.3, -0.017, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 15199, 1, 4 in decreasing order.\nAnswer: 15199, 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -324457 or -23.62?\nAnswer: -23.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -332*u**3 - 282*u**2 wrt u?\nAnswer: -1992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 394523957 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6241, 6238, 6233, 6226, 6217, 6206, 6193?\nAnswer: 6178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 530 - 530.00922. What is d rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -o + 3*o + 10, -z = 4. Suppose o*v - 123 = 270. List the prime factors of v.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 0.1, 4, 8 in increasing order.\nAnswer: -1.2, 0.1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7187 - -87.7187. What is the closest to -0.1 in 0.4, -0.4, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*v**3 - 1350*v**3 + 449*v**3 + 449*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*o**3 - 36*o**3 + 301*o**3)*(-2*o + 2*o + 2*o).\nAnswer: 816*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5961?\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + (-3 + sqrt(363) + sqrt(363) + 0 + sqrt(363) + sqrt(363))*4 + 1)**2 + 5.\nAnswer: -5632*sqrt(3) + 93187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 676682?\nAnswer: -676687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + k + 230399, -3*l + 172798 = -86*k + 84*k. What is l rounded to the nearest 1000?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*f, 2*f = 485*m - 489*m + 41774. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c)\/(c**3\/c)*(c*c\/((c\/c**(4\/7))\/c)*c)\/c**(-4)*((c**(-1\/2)\/c)\/c)**(-12\/5)*(c\/c**(-1\/2))\/(c\/c**(-3\/2)) assuming c is positive.\nAnswer: c**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1949.6 and -56?\nAnswer: -109177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11863 - -67830. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7117700 rounded to the nearest 10000?\nAnswer: 7120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4\/9))**(-26)*z**(-11)\/(z*(z\/z**4*z)\/z*z))**(-1\/4) assuming z is positive.\nAnswer: z**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 258.1 + -245. Let o = f + -13. Which is the closest to o? (a) -0.3 (b) 1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2726, 2402, 2026, 1574, 1022?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.61 + -0.39. Let r = -0.5 + -14. Let w = r - y. What is the third smallest value in w, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(120)\/(sqrt(8)\/sqrt(4)))\/(sqrt(432) + sqrt(432)*-2) - (3 + sqrt(50)\/(6*(sqrt(10) - 2*sqrt(10))))*5)**2.\nAnswer: -52*sqrt(5)\/3 + 1541\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27316929229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 248*c**3*g - 452*c**3 - 2*g wrt g?\nAnswer: 248*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/18416, 2548?\nAnswer: -1\/18416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 114652 less than -6.4?\nAnswer: -114658.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2045 divided by -13\nAnswer: -2045\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.1, 4, -6.2, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 20. Suppose 0*c + a*c - 168 = 0. Calculate the greatest common divisor of c and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -c - 3*g, -6*c + c = -5*g - 35. Suppose 3*u - 32 = 4*d, d = -d - c. What is the remainder when 7 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d**4\/5 + 195412*d**3 + 426386*d**2 - 515200*d - 532968\/5 = 0 for d.\nAnswer: -3, -2\/11, 1, 44414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8804833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 27, -1\/8, 0.95?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/22 - 420\/(-110). Let d(h) = 2*h - 6. Let c be d(s). What is the third derivative of 14*y**5 + 21*y**5 + 4*y**c - 29*y**5 wrt y?\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/108 and 8\/40*(-190)\/66.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v + 39. Let b be n(-9). Suppose 6 = -b*c - 3*c. What are the prime factors of (-5 - c)\/(-8)*44?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11 + -13 - ((-6)\/11 + -2) and 65\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 - 134. Suppose 0 = -4*o, q*w - o - o = 150. Calculate the remainder when w is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*k + 31*k**2 - 73*k**2 + 23*k**2 - 57*k**2 - 2 - 46*k**2 to q + w*k**2 + a*k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + q**2 - 6*q**2)*(2*q + 0*q + q)*(-q + q + 4*q).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 8972084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 493 and 871012?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = -0*i. Suppose 3*m = 5*m - i. Suppose 4*d + 0 = m*b + 35, d = -4*b + 23. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/14 - (-12)\/42. Let l = 9.6 - 11. Let r = l - -1. Which is the smallest value? (a) r (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*r**3 - r - 7*r + 16*r.\nAnswer: 67*r**3 + 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -108, -217, -370, -567, -808, -1093?\nAnswer: -1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1946 - 9362.4. Round v to the nearest ten.\nAnswer: -7420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900505 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 25 = -p, 3*z + 15 = p - z. Suppose 0 = -y + 2*y + 1. Sort 0, p, y in decreasing order.\nAnswer: 0, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54108 or 684?\nAnswer: 684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/174738 and -143\/25758?\nAnswer: 750150234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 21 = p, -p + 5 = 4*p + 5*x. Let q(z) = -z**3 - 10*z**2 - 8*z + 90. Let n be q(-7). Put p, n, 8 in ascending order.\nAnswer: p, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + a**2 - a + 109. What is m(0)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 66 = o - 50, -464 = -4*o + 4*g. Let s = 327 + o. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - n + 2, -n = x - 1 - 5. Suppose 2*u + 1 - 7 = x*o, u + 13 = -3*o. Let f be o\/12 - (-32)\/6. Solve 0*p - 9 = -p + 5*w, 0 = f*p + 4*w + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -p - 3*l, -4*l = 2*p - 0*p - 20. What is the third derivative of -2*q**4 + q**4 - 9*q**2 - q**p + q**4 wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22862?\nAnswer: 2, 7, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 - 292*w**2 + 4062*w - 11448 = 0.\nAnswer: -159, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 17 = 3*k, 5*o = -2*k - 0*k + 15. Let l(g) = -5*g**3 + 2*g**2 - 2*g. Let x(q) = -11*q**3 + 5*q**2 - 5*q - 1. Determine k*l(u) - 2*x(u).\nAnswer: -3*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*d**3 - 9*d**3 + 6*d**3)*(1 - 3 + 1)*(-4 + 3 + 7).\nAnswer: 750*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4891*k**3*r + 2*k**3 - 9*k**2*r - k**2 + 2*k*r - 16*k + r - 3957 wrt k?\nAnswer: 29346*k*r + 12*k - 18*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 43, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-5))\/((-9)\/(-5)). Which is smaller: c or -0.13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, i: 6}. What is prob of sequence iiii?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1630a8 + -931?\nAnswer: 162277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -19*f. Let q(h) be the second derivative of -h**4\/24 + 6*h**2 + 14*h. Let v(d) be the first derivative of q(d). What is v(m(c))?\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -952424967 and 0.1.\nAnswer: -952424966.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnd when three letters picked without replacement from mpnzd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453381?\nAnswer: 3, 79, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-12)*(g*g**(-1\/26)\/g*g)\/g)**29)**(-46))**(6\/17) assuming g is positive.\nAnswer: g**(1252626\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/12 + a. Let s be p(1). Let v = s + -1. Solve -m + v*m + 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1345 is divided by 150.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1.3. Let k = -0.5 - y. Let h = -0.9 + 0.7. Is k < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20434001 (base 5) to base 2.\nAnswer: -101001110001110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 10422.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74001383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 less than -41\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330360 and 5506.\nAnswer: 330360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4758215 tonnes to nanograms.\nAnswer: 475821500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 2, t: 1, n: 1, h: 2, m: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 3*z + 5*z + 2 - z - 2 + 3*z - 3*z - 2*z + (-5 + 3 + 4)*(2*z - z - 3*z) - 5*z + 3*z + 0*z - 6 + 620*z - 669*z + 4 to n + d*z and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12865, 51284, 115325, 204994, 320297, 461240, 627829, 820070?\n\"Answer: t**3 + 12805*t**2 - 3*t + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 44*q + 5680. Let v(h) = 2*h. Determine v(r(f)).\nAnswer: 88*f + 11360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (621\/(-138))\/(3\/(-4)). Solve -16 - 2 = q*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*n + 33 = 1, 12 = 3*r - n. Suppose 0 = 2*s + 4*x + 8, r*x + 0*x = 0. Suppose -3*k = -3, 0*k + 2 = 3*y - k. Put -1, s, y in descending order.\nAnswer: y, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.352*0.06\nAnswer: -0.08112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*w**5 + 964*w**4 + 36968*w**3 + 524884*w**2 + 1989320*w + 868000 = 0. What is w?\nAnswer: -62, -28, -25, -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 19 + 18 + (53 - 19) + -39?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20392 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-13)\/(d**(7\/2)\/d)*((d\/(d*d**(3\/19)*d))\/d)\/d*d**(-2\/59)\/d assuming d is positive.\nAnswer: d**(-44149\/2242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 343.211692 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(1\/1 - 2). Let a be (z\/1)\/((-3)\/(-3)). Find the common denominator of (-708)\/28*a\/30 and 99\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-24) + (2 - (-750)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.59 + -1.41. Let a = y - -45.0000297. What is a rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (sqrt(108) - (-1 + sqrt(108))) + 5*-1*sqrt(108))**2*-1*2.\nAnswer: 2400*sqrt(3) + 27160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - 2*l**2 + l - 1. Calculate n(3).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Let k be -2 + -2 + (-39)\/(-9). Put f, 0.1, k in ascending order.\nAnswer: 0.1, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*j + 6944*j**2 - 53*j + 185*j - 81*j in the form f*j + u + d*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 0*f**3 + 24 + 1\/5*f**5 + 0*f**2 + 63*f - 21\/2*f**4. Differentiate k(j) with respect to j.\nAnswer: 4*j**3 - 126*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*11\/((-231)\/(-56))*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3285 divided by 45.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.725 - 187.125. Let q = 3.6 - o. Let x = q + -187.89. What is x rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = -2*z. Suppose z*u - 9 + 0 = 0. Suppose -5*k + 4*l + 285 = 0, 0 = -5*k - u*l + 5*l + 275. What is the remainder when k is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3969519?\nAnswer: 3, 31, 42683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 44*p + 168. What is the biggest value in -0.1, 4, p, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-66)\/(-3465)*10*1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/2070*36\/(-8)*5\/(100\/(-128)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, d: 6, e: 8}. What is prob of sequence sdss?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -0.2, 27, 2\/9 in decreasing order.\nAnswer: 27, 2\/9, 0.04, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 55*y**2 - 76*y - 10. Is x(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/118*(-9 + (-253)\/(-22)) and -25\/3186.\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -12*n + 270. Give z(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 18. Let x = -44.7 + j. Let u = 0.3 - x. Are -1 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/8*5\/((-10)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 2:18 AM?\nAnswer: 515","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -2, -3, 0, -16, -19.\nAnswer: -19, -16, -4, -3, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 4*o + 6. Let k be b(-5). Let w be 4 - 4 - 0\/k. Which is smaller: w or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - o + 2*o)*(-35 + 35 + 44*o**3) as u*o + f*o**2 + x*o**3 + k + d*o**4 and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 1, -1, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 0, -5*a - 2*s = -0*a - 15. Suppose -a*n + 2*v + 8 = -12, 2*n = -2*v + 10. Does 3 divide n*2\/((-4)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -658 + 659. Solve 0 = -j + 5*q - 2, q = -2*j + 6*q + z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5111 in 44, 4, 2\/13, 2\/9?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-6\/7)*(b\/((b\/b**(-3\/2))\/b))**(10\/17) assuming b is positive.\nAnswer: b**(-137\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + f**2 - 39*f - 6 + 16 + 32*f - 1. Determine z(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 4 (c) 1\/683 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3 - 5 = 0, 22 = d + 5*c. Suppose 6 - d = 2*h. Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 69. Let j(p) be the second derivative of 0*p**4 + 0*p**5 + 1\/15*p**6 + 0*p**2 + k - 2\/3*p**3 - 3*p. What is the second derivative of j(u) wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 1 + 1)*(33*j**5 - 19*j**5 + 18 - 13*j**5) - 2*j**5 - j**5 + j**5 + (-5*j**2 + 3*j**2 + 0*j**2)*(3*j**3 - 6*j**3 + j**3) + 1 + 2*j**5 - 1.\nAnswer: 16*j**5 + 216","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o - 3. Let v be y(-3). Is 48\/40*v\/4 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 2*k**5 + 2*k + (1 - 3 + 0)*(-13*k - 6*k + 6*k)*(3*k**4 + 0*k**4 - 2*k**4).\nAnswer: 24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 9*i**2 - i + 7. Let q be n(8). Suppose 4*r - q = -7. Suppose 0 = -5*p + 4*p - 4*s - 17, -2*p - r = 3*s. Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 800*z**2 + 681*z wrt z.\nAnswer: 1600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*r + 188767 - 190*r - 188768 + 4*r**2 to the form z*r + c + s*r**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 35 + 58)*(-3*c**3 + c**2 - c**2).\nAnswer: -213*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**7\/3360 - o**5\/160 - o**4\/48 - o**3\/2 - 4*o**2. Let l(t) be the first derivative of f(t). Factor l(q).\nAnswer: (q - 2)*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1369\/24 - -57. Is -1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 670999*w**4 + 1061031*w**2 wrt w.\nAnswer: 16103976*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 5 - (47 + -21) - (10 + -5).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 17764*q - 17765*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*z - 22, 12 = -3*z - z. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -84*d**3 - 5*d + 2219. Let f(q) = -83*q**3 - 6*q + 2218. Let j(c) = 5*f(c) - 6*l(c). Find the first derivative of j(h) wrt h.\nAnswer: 267*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*s - 18. Sort 0.105, s, -0.1 in decreasing order.\nAnswer: 0.105, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 116*k**2 + 3*k + 6. Let w(u) = 2*u**2 - 1. Let d(n) = -c(n) - 4*w(n). What is the second derivative of d(s) wrt s?\nAnswer: -248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(3\/(-9))\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*n + g - 6*g, g = -3*n + 52. Suppose n*l - 8 = 15*l. Suppose -2 = h, -4*d + l*h + h + 22 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2524 - 4.0234. Let c = l + -12.959. Round c to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4150335l to millilitres.\nAnswer: 415.0335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4091.4 + 17150\nAnswer: 13058.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9770 divided by -6\nAnswer: -4885\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -4.2. Let l = -58.59 + 58. Which is the smallest value? (a) h (b) l (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12129017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/357*((-279)\/6)\/(-31)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -16543\nAnswer: -7\/16543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41132248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81695096 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 4, 34 in descending order.\nAnswer: 34, 4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 31 + 8*t**2 + 6 to w*t + i*t**2 + b and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) 2 (c) -176 (d) 3 (e) -2\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -137, -536, -1201, -2132?\n\"Answer: -133*p**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*d**5 - 5*d**3 + 977*d**2 wrt d?\nAnswer: -5640*d**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.9 (b) -4 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 50*y**2 + 38*y - 94. Calculate m(-49).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 773*k + 440*k + 333*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f + 4*p + 42 = 81*f, 5*p = -13*f - 84 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 9*j. Let t(g) = -1144*g. Calculate 770*o(c) + 7*t(c).\nAnswer: -1078*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*s + 9, 2*s + 11 = -p - 2*s. Suppose p*y**2 + 303*y**3 + 0 + 0 - 293*y**3 = 0. What is y?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53\/4 of a milligram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -14. Let n = j - -28. What is the smallest common multiple of (3\/2)\/(n\/16) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 100*n - 159. Let v(a) = 25*a + 40. Let b(h) = -2*j(h) - 9*v(h). What is the remainder when 69 is divided by b(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6491\/4 - 3289\/2. Suppose 150 = -i - 4*i. Calculate the common denominator of y and (-12)\/i - (-326)\/160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2. Let x(n) = 7*n + 17. Give t(x(c)).\nAnswer: -49*c**2 - 238*c - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5, -13, -3\/8, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r + 24 = 0. Let u be -2*33\/r*62. Suppose -2*w - 3*q + 284 = -5*q, 0 = -5*w - 2*q + u. What is w rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -411\/4 (b) -1\/5 (c) 25\/38 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 114 - -0.1\nAnswer: 114.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 7*h**6\/30 + h**2 + 9*h. Let c(u) = u**4 + 1. Let z(k) = c(k) + q(k). Find the first derivative of z(b) wrt b.\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -513*j**4 + 67431*j**2*l**2 + 1177061*j*l + 2*l**2 + 26*l wrt j?\nAnswer: -6156*j**2 + 134862*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-190)\/(-513)*(-18)\/15.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*1\/(5\/(-5)). Suppose 3*c + 3 = 0, b = z + c - 45 + 3. What is the remainder when z is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1872)*-2)**2 + (sqrt(6292) + -2 - sqrt(6292)) + -5.\nAnswer: 7478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -14841474.\nAnswer: 445244.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1170)\/1300)\/(42\/10)*(-6)\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -332, 510, 2794, 7240, 14568, 25498?\n\"Answer: 120*k**3 + k**2 - k - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-5) + (-2 - 0). Solve 0 = a*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b. Let t(x) be the second derivative of -x**3\/3 - 10*x. Determine z(t(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.08 and 4603126.\nAnswer: 9574502.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 77.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/8 + 615*v**2\/8 - 312*v + 627\/2.\nAnswer: 3*(v - 2)**2*(v + 209)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4212 and 52724844?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 29. Let g be 2\/v + 320\/112. Solve -2*y - 15 = g*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = 0, 2*s - s + 46 = -5*f. Let q = s - -33. Let b = 467 + q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 111263 + -162?\nAnswer: 111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 41*w**4\/12 + w**3\/2 - 7*w**2 + 2*w. Let v(b) be the first derivative of z(b). Is 17 a factor of v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d**3*y**2 + 6*d**3*y + 1908*d**2*y**2 + 3*d**2*y - 26*d*y wrt y?\nAnswer: 14*d**3 + 3816*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**2\/2 - 6359. Let y(g) = -16*g**2 + 14*g. Determine l(y(s)).\nAnswer: -16*s**2 + 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000402987 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9667, 19191, 28715, 38239, 47763?\n\"Answer: 9524*p + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1337*0.103.\nAnswer: 137.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 + 53*y**2 - 16*y + 53. What is the remainder when i(-18) is divided by 86\/10 - (-2)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:38 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f*f**(1\/6)*f)\/f*f)\/f)\/f)**(1\/21))**(-3\/17) assuming f is positive.\nAnswer: f**(-1\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, r: 3}. Give prob of picking 1 h and 2 r.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:55 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/12 and -89\/67036.\nAnswer: 201108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 227 * -0.15\nAnswer: -34.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2370 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/5)\/(m\/(m**(-1\/3)\/m)))\/(m\/m**(-2))**40*((m*m**(1\/4)*m)\/m**(8\/3))**(1\/2) assuming m is positive.\nAnswer: m**(-14609\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 - 3*w**2 + w**2 + (-5*w + 2*w + 2*w)*(-8768 + 472*w + 8768))*(2*w + 1 + 1 + w**2 + 0*w) as c*w**3 + i*w**4 + v + a*w**2 + b*w and give c.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6809 divided by 501?\nAnswer: -6809\/501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3540560, -3540567, -3540576, -3540587?\n\"Answer: -a**2 - 4*a - 3540555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2268 is divided by 761?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 44.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvvhvvvvvhh. What is prob of sequence hhh?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10924205 to the power of 1\/2, to the nearest integer?\nAnswer: 3305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - 152. Let g be h - 3 - -3 - (-28)\/4. Solve -5*i = -3*f + 10, 5*i = g*f - 0*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-2)*k\/(k*(k*k**(2\/15))\/k*k)*k**(-5)\/((k*k**(-7\/5))\/k*k) assuming k is positive.\nAnswer: k**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 40*o**2 + 42*o + 119. Let z be s(-39). Sort -3, -7, z, 3.\nAnswer: -7, -3, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342742180 to the power of 1\/2, to the nearest integer?\nAnswer: 18513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8619295l in millilitres?\nAnswer: 861.9295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*b**3\/19 + 61580080*b**2\/19 + 98528032*b\/19 + 39411200\/19 = 0. Calculate b.\nAnswer: -1231600, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 18 (c) 4 (d) -3\/2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-60)\/(-5 + 15))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 20.18635km?\nAnswer: 20186350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + 2 + (60 - 62) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r = -11*r + 42. Which is the nearest to -38? (a) r (b) 1\/2 (c) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22212 or 22205?\nAnswer: 22205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p)**43\/((((p*(p\/p**(3\/5))\/p)\/p)\/p*p)\/p*p**7) assuming p is positive.\nAnswer: p**(403\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -29, 0, -7, -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -730965, -1461942, -2192923, -2923908, -3654897, -4385890, -5116887?\n\"Answer: -2*t**2 - 730971*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4758*t**4 + 3985 wrt t?\nAnswer: 19032*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -2 - (9 - 0). Let d be 2\/a - (-1)\/4. Let t = 0.131 + 0.269. What is the second smallest value in t, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(243) - (-5 + sqrt(243) + -2) - (sqrt(243)*-1 + -5) - (-3*2*sqrt(243) + 5 + -4))**2.\nAnswer: 1386*sqrt(3) + 12028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/126686 and 71\/144784?\nAnswer: 1013488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 1, r: 1, c: 2, p: 1}. Give prob of picking 1 x, 1 r, and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -97.3. Let j = g + -18. Let l = 2 + j. Is 2 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*b + 7*b + 4*z, -2*b = -z - 20. Let n be (-15)\/10*b\/(-6). Is n\/12 + 370\/12 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23400721 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 618, 15, -96 in increasing order.\nAnswer: -96, 2, 3, 15, 618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(15\/10)*-528. Which is greater: -1055 or z?\nAnswer: -1055","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqqqwqfvfqqffflqq. Give prob of sequence wfvq.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 2*w + 1. Let o be (1*-1)\/(-4 + 3). Let m be c(o). Suppose -a - n - m*n + 2 = 0, a - 1 = -4*n. Let x(z) = 2*z - 4. Calculate x(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 12444 = 2148. Is 27 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95.69076 millilitres?\nAnswer: 0.09569076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1685 + 75.1685. Is k bigger than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 0*k + 0*k - k**3 - 2*k**3 + 5*k**3 + (0 - 2 + 0)*(-2*k**3 - 2 + 2) - 3*k**2 + 2*k**3 + 3*k**2 - 3*k**3 + 3*k**3 + 3*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 - p - 3. Let f(k) = -3*k**2 - k - 2. Let a(c) = 8*c**2 + 7*c + 14. Let j be a(-3). Let z = j - 68. Determine z*f(b) + 2*x(b).\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 + -22.85. Let n = s + 21. Let c = 0.3 - -1.7. Sort -0.1, n, c.\nAnswer: n, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2491796 divided by -3.\nAnswer: -2491796\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*58265087.\nAnswer: 407855609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, -2, 3, -4 in decreasing order.\nAnswer: 3, -2, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(2\/5))**(3\/19)*d\/(d**2*d)*d**(-6))\/((d*d**(1\/2)\/d)\/(d**8\/d)*((d*d\/d**(-2\/5)*d)\/d)**34) assuming d is positive.\nAnswer: d**(-15741\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 - 13*z**2 - 301*z\/2 - 245.\nAnswer: (z - 35)*(z + 2)*(z + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - 353*c - 353*c + 706*c + 941*c**2 as j*c + k + n*c**2 + a*c**3 and give n.\nAnswer: 941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t - 4. Let z = -31 - -29. Let h = z - -4. Let g(r) be the second derivative of -r**3\/6 + r**2\/2 - 2*r. Give h*g(m) + w(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-15) - 8\/10. Suppose r*t - t = -181. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 868307 or 868306?\nAnswer: 868307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7157507 at least 7157505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/56, 0.2, -3, 1, 0.055 in increasing order.\nAnswer: -3, 3\/56, 0.055, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**5\/60 - 2*d**3\/3 - 4. Let q(f) be the third derivative of r(f). Let w(v) = -2*v. Give q(w(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-24)*18\/180)\/(3\/35)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177842 divided by 6.\nAnswer: 88921\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -15*d + 347. What is k(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 9:07 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + p + 1. Suppose z = -2*l - 4, 1 = -l + 4*l + 5*z. Let o(r) = -r**2 - r - 2. Let k = 8 + -10. Calculate k*o(t) + l*v(t).\nAnswer: -t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - g + 1)*(0 + 0 + 3)*(2*g - 5*g + 2*g + (1 - 1 - 3)*(-2*g + 0*g + g) + g + 0*g + 0*g).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38028*n + 10989?\nAnswer: -38028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q, 3*m + 4 = -4*q + 13. Let g be (-1 + (-3 - -4))*-1. Solve g = -m*h - l - l, 3*l = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15907 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1150 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20202 (base 3) in base 13?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 256660\/21 + -12222. What is the closest to -1\/5 in l, -1, -2\/9, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 - -93. Let d = -33 - v. Let p be (20\/80)\/(1\/d). Solve -12 = -3*m, p*u - 4*m = -2*m - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2616 is divided by 146?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 14620842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317282, -317845, -318406, -318965, -319522?\nAnswer: -320077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Suppose -m*u - 7 = -37. What is the remainder when u is divided by ((-16)\/24)\/(1\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-24)*-2)\/((-230)\/(-276)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2920.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 6*k + 7. Let u be r(-6). Let c(p) = u - 7 + p. Let g be c(-3). Put 3, g, 5 in decreasing order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9 + -2.79. Let m = 0.05 - j. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 23 = 533*b - 528*b, 5*h + 3*b + 5 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 429 and 286.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c + 31*c + 16*c)*(-2*c**2 - 3*c + 3*c) + (-1 + 4 - 2)*(0*c + c**3 + 0*c).\nAnswer: -69*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*g - 42*g + 678. List the prime factors of g.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + r**2 + 4*r**2. Let b(x) be the first derivative of x**4\/6 - 84*x + 19. Let n(u) be the first derivative of b(u). Give q(n(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1889.3 times -0.237\nAnswer: 447.7641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**35*u\/(u*u**(-1\/3))*u*u*u*(u\/u**(3\/2))\/(u\/u**17) assuming u is positive.\nAnswer: u**(329\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 381*g - 4 = 380*g, -4*q - g + 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 18 = 3*o + 51, -10 = -2*x for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Suppose -r*f + 12 = -4*f. Let q be (2\/(8\/f))\/(-3). Which is the smallest value? (a) -1\/5 (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-41)*x)*x)\/(x**(1\/11)*x))**(1\/2))**(-40) assuming x is positive.\nAnswer: x**(9260\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004670809 to 5 dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/3 + -4)*0. Let b be 2 - 0 - (g - -1). Which is smaller: 2\/7 or b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -476696 divided by -59587\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2321 and 3376.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210) + 3*(-2*sqrt(210) + sqrt(210)) - sqrt(210))\/(sqrt(1008)*1 + sqrt(1008)))\/((5*sqrt(480))\/(sqrt(15)\/(sqrt(12) - sqrt(3)) + sqrt(5))))**2.\nAnswer: 1\/1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1)\/27*(-65556)\/354488)?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z = 76012. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 2. What is f(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2943797 is divided by 829?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/6 and 86\/(-36) - 36\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h**2 + 5 + 1 - 6 - 29*h**2 + 37*h - 37*h + (-4*h + 3*h + 0*h)*(-h + 0*h + 2*h) + h**2 - 3*h**2 + 0*h**2 to the form z + y*h + d*h**2 and give d.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/53937 and -33\/23810189.\nAnswer: 214291701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 12446.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(15\/(-12) + 2). Let u be 18\/c + 3\/(-12). Suppose u*q = 4*l + 18 + 20, -3*l - 45 = -3*q. Calculate the remainder when 21 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4181487.5 to the nearest 1000.\nAnswer: -4181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.957 + 0.043. Let d = 112 + -112. Sort k, d, 1\/3.\nAnswer: d, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**3 - 5*k**2 - 26*k. Let d(f) = -6*f**3 - 4*f**2 - 25*f. Give 5*d(z) - 4*v(z).\nAnswer: -2*z**3 - 21*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 6*x - f + 17 = 0, 2*f - 10 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 263*s + 177*s + 83*s)*(s - 2*s - 2*s).\nAnswer: -1569*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 94835.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5.7. Let t = -131.2 + 131. Which is the second biggest value? (a) 0.2 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + u = 2*p - 13, 2*u = -2*p - 2. Let c(m) = -m**3 + 5*m**2 + 2. Give c(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1292 = 266*n - 304. Let j be ((-2)\/2 - -2) + 7. Solve -2*b = -4*c - j + 20, 0 = -2*c + n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6520058, -6520060, -6520062, -6520064?\nAnswer: -6520066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 - 5322*w - 3543158. Let m(i) = 13*i**2 + 15965*i + 10629492. Let q(p) = 7*h(p) + 2*m(p). Factor q(d).\nAnswer: -2*(d + 1331)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*l + 225, -3*m + 5*l = 2*m + 235. Let d be m\/4*(5 + -7). Let q = -17 + d. Let g(y) = y**2 - 6*y + 8. Give g(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 28 = -8, 4*q = 4*j + 8. Let f(x) be the second derivative of x**3\/6 + 7*x. List the prime factors of f(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i = 40*i - 64676. Let j(t) = 2820 + 0*t + t - i. What is j(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 21 + 5*f + 5*f**5 - 11 - 10*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - -2 - (-19 + 21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -64. Let f be -1 - (-328)\/c - 10\/45. Suppose 12*p = f*p. Solve 0*l + 2 = -2*l, p = h - l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/31)*h*h)\/h**(-10\/9) assuming h is positive.\nAnswer: h**(1129\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -351112450 (base 6) to base 16\nAnswer: -631a8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17722906?\nAnswer: 2, 41, 216133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*g*q**3 + 2*g*q**2 - 348*q**5 + 4*q**3 + 13875*q**2 wrt q.\nAnswer: 72*g - 20880*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/8*m**2 - 2401\/8 - 49\/4*m = 0. Calculate m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/5, 2, -0.8513 in ascending order.\nAnswer: -1, -0.8513, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2265540192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3 = 0, 6*l + 14*u - 11*u - 33 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 71 = -118. Calculate the highest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7)**40*(w\/(w*w**7))**10 assuming w is positive.\nAnswer: w**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:47 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 1)\/(3 + -2). Solve 1 = -q*s + 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 907364 + 2403819. Let d = 3311133.00054 - r. Let f = d - -50. What is f rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, and 2 w when four letters picked without replacement from kmwudowk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -3 (c) -1\/3 (d) -2925.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*w + 211 - 211 + (-3*w - 13*w - w)*(4 - 1 - 1) - 2*w + 4*w - w.\nAnswer: 60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -0.3, -13\/2508?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11111121 (base 3) to base 16\nAnswer: -cd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 1109 = 17*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2 + f - 5 + 6 + 1. Let t be k(-3). Solve 0 = -i + t + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 40.4. Let h = -3.6037 + x. Round h to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -100101?\nAnswer: -100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 10:21 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = 4*x - 816. Solve 0 = -50*c + x*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595366159.\nAnswer: 19, 241, 130021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 at least as big as 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 41 - 5. Suppose -4*m = -3*r + v, -2*m + m - 14 = 2*r. What is the common denominator of (202\/(-8)*-1)\/(-2) and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l**2 - 29*l**2 - 31*l**2 + 20*l**2.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787 = -2*h - 5*z, 5*z - 81 = h - 482. Suppose 61*r - 57*r = -h. What is the remainder when 130 is divided by 1\/1*(-7)\/(21\/r)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*b + b - 3 - b**2)*(-15 + 15 + 11*b)*(0 - 1 - 8) + (-b**2 - 2*b**2 + 5*b**2)*(5 - 5 + 6*b) in the form t*b**3 + l + r*b**2 + s*b and give t.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k - 14. Let j be o(0). Let h be -3 + 4\/((-8)\/j). Suppose 12 = h*v - 0*x + 5*x, 0 = -5*v + 4*x + 15. Solve 4*n + a - v = 0, -a + 0*a + 3 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21253637, 42507277, 63760917, 85014557, 106268197, 127521837?\nAnswer: 148775477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 14*z + 14. Let h be b(13). Solve 2*v = -4*m - h + 3, 0 = 4*m - 4*v - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (1 + -31) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -27*m**2 + 6*m + 2. Let b(j) = 18*j**2 - 4*j - 1. Let z(p) = p**3 + 20*p**2 + 97*p + 70. Let g be z(-13). What is g*b(w) - 5*r(w)?\nAnswer: -9*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.69 - -4.59. Let w = 3.9 - n. What is the fourth biggest value in -2, -0.4, w, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4028*n**2 + 8345*n**2 - 4076*n**2 + (2*n + 0*n + 0*n)*(0*n + 4*n - 2*n).\nAnswer: 245*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3855 take away -0.3?\nAnswer: 2.6855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -742 and -196.\nAnswer: 145432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 + 0.26. Let g(u) = 12*u**2. Let s be g(-1). Let x = 7 - s. What is the second smallest value in -4, x, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28\/61 (b) -5 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**3\/6 + 491*t**2. Let f(z) = -2*z + 10. Calculate -f(w) - i(w).\nAnswer: 2*w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*n**6 - 3*n**2 + 2*n**2 - n**6 - 3*n**6 wrt n?\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776763 is divided by 5103.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.82431 rounded to zero decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.63 - -402.37. Let g = -522.6 + b. Let u = g + 120. What is the closest to -1 in u, -5, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 104*d - 109*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + (-22 - (-22 - -16) - 12)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 1. Suppose h + 0 - 1 = 0. Let k = 0 - -2. Suppose x = k*x + h. Let m(w) = 6*w**3 - 2*w**2 - w - 4. Determine x*m(s) + 4*d(s).\nAnswer: -2*s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from kkphhhkhkppkpkp?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8286369151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6789\/(-7068) + (5 - 4))\/((-1)\/(-8))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458501340 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 8*z + 6. Give g(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - (29 - 4)\/5)\/(-2). What is the biggest value in -37, r, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77.03 + -39987703.944\nAnswer: -39987780.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -252126\nAnswer: -1\/126063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/4)\/((-1)\/(-18)). Let w = -40 + d. Solve 0 = w*z - 0*z + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100*h**3*k**2 - h**3 + h**2*k**2 + 30*h**2 + 2*h*k**2 wrt h?\nAnswer: 600*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t. Let m(l) be the first derivative of l**5\/30 + 23*l**3\/3 + 16. Let c(a) be the third derivative of m(a). Determine y(c(z)).\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8844168695?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 + 4 + -5 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47\/161 + -10\/23. Suppose 0 = 3*w + w + 32. Let x be 40\/(-22) - w\/(-44). Which is the closest to -0.3? (a) x (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a hour in seconds?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(5103) + sqrt(189)\/(sqrt(48) - sqrt(3)))*1*4.\nAnswer: -536*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -4\/23?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b**2 - b - b**2 - 4*b**2 + 3*b**2 + (-2 + 0 + 1)*(-2*b**2 + 2*b**2 + 2*b**2) + b**2 - 3*b**2 + b**2 - 2*b**2 - b + b.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -22*k + 28. Let j(d) = 7*d - 9. Let g be -2 + (-1 - 2) + 0. What is g*h(w) - 16*j(w)?\nAnswer: -2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77591535 and 1750185.\nAnswer: 232774605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 35. Let t be q(-6). Suppose -552 = -t*p + 15*p. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 16580559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, f: 9}. What is prob of sequence ffff?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190\/21*((-6)\/51 - 33760\/(-850)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-8))\/((-36)\/192). Let r(u) = -m*u + 3*u - 3*u + 7*u - 28. Calculate the smallest common multiple of r(-9) and 11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3643*q - 178372 - 8908 = -12416 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 2425044301?\nAnswer: -2425044302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + -61. Let m = k + 38. Let y be 5\/(-2)*m\/(-225). Which is the closest to y? (a) 1 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -21. Let l = f + 18.99997. What is l rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + ((0\/(-1))\/(2\/1) - (-5760)\/320)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 2*z + 6. Let k be w(4). Let b = -48 - k. Let o be (-2)\/4 + (-7)\/b. Solve 4*l - 8 - 8 = o, i + 12 = 3*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5\/7 - f**4 + 2*f**3 - 2*f**2\/7 - 15*f\/7 + 9\/7 = 0 for f.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) -2\/65 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p*p**(-1)*p)*p)\/p)\/p)**(-40)\/(p**1)**(2\/53))**(35\/6) assuming p is positive.\nAnswer: p**(12355\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/7, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*q = -2*q - 78, -4*g + 5*q = 65. Let w = -11 - g. Suppose -3*k + 35 = -16. Solve -2 = 2*u + w*j, -2*u + j = u + k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from {m: 1, x: 1, o: 4, l: 1, p: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48.7 + -8.3. Let i = 56.9917 + b. Round i to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*b + 2*a, -2*a - 27 = 3*b - 30 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 171430.55099 - -0.3\nAnswer: 171430.85099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86755476 + 24444163. Let u = o - -62311180.000079. Let t = 133 + u. Round t to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -1774*o**3\/3 - 136*o**2 + 1884*o. What is the derivative of s(m) wrt m?\nAnswer: -3548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 9:16 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 - -159. Which is bigger: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(1 - -1) + (-119)\/(-14). Suppose p*c = -2 + 10. Sort 1\/7, c, -0.2 in ascending order.\nAnswer: -0.2, 1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5271 + -5278. Let x(k) = -11*k - 86. What is x(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2)*(-18)\/6. Let g be 10\/(-20) - m\/(-2). Let v = 66 - 64. Put -4\/7, g, v in decreasing order.\nAnswer: v, -4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 246? (a) -1\/3 (b) 1\/4 (c) 4751\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c (base 15) to base 5.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ba8915 (base 13) in base 6?\nAnswer: 525305313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 11057681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**5 + 72*g**4 - 4*g**3 + 4*g**2 + 9*g + 4. Let z(b) = b**5 + b**3 + b**2 - 1. Let a(u) = -r(u) - 4*z(u). Find the third derivative of a(y) wrt y.\nAnswer: -120*y**2 - 1728*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 10*q**2 + 11. Let m(s) = s**2 + 3*s - 8. Let t be m(-6). Let n be a(t). Round n to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145 + 12 + -35 + 20 + (-2 - -7 - 2).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9791.154m to millimeters.\nAnswer: 9791154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/91 + 54600\/(-1014) + -43.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**6\/45 + a**5\/120 - a**4\/6 + 5*a**3\/36 + a**2\/6 - 213*a + 1. Factor w(r).\nAnswer: (r - 1)**2*(r + 2)*(4*r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 171 = 9*b. Let q be (-322)\/(-6) - 16\/24. Let g = b - q. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5846092\/55 + 106301. Let c = s - 43\/5. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 10:00 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u - 82. Let o be b(-16). Let h be 3 + -23 + (o - (1 + -5)). Let p be 2*3*(-3)\/h. Solve -4*j - 3 - p = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 56?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -3\/1395463735 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000773422 to seven decimal places.\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6391 is divided by 6214.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5 - 68*y**4 - 292*y**3 - 448*y**2 - 302*y - 76 = 0. What is y?\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (127 - 125) + -7 + -2 + (2 - 1 - -31).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.2 (b) -22 (c) -0.5 (d) 6 (e) -33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*f**3 - 2*f**2*m**3 - 64*m**3 - m wrt f.\nAnswer: 144*f**2 - 4*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m + 24 = 0. Let w = m + -1. Suppose 0 = -w*g + 14*g - 15. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/2 + i**2\/2 - 2*i - 5. Let n(p) = -2*p + 18. Let b be n(10). Let a(w) = -w**3 - 1. Determine b*c(g) + 3*a(g).\nAnswer: g**3 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + -21 + 17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:27 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*d**3*m*x + 5*d**3*m + 2*d**2*m*x - d*m - 9 wrt x?\nAnswer: 18*d**3*m + 2*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1915 + -1913. Let l = -3.6 - -2. What is the second smallest value in k, -5, l, 3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 2. Let t be f(2). Let y be (-4)\/t + (-8)\/6. Let v = 118 - 122. Which is the nearest to 0.2? (a) y (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 570, 586, 624, 696, 814, 990?\n\"Answer: 2*r**3 - r**2 + 5*r + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075 divided by -20?\nAnswer: -215\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6235618.417 from -10558.\nAnswer: -6246176.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3365290 divided by -673058?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Suppose -w = w - v. Is 11 a factor of -2*(3 - w)*-11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**4 + 16*z**3 + 10*z**2 + 8*z + 10. Let h(b) = b**2 - 1. Let l(o) = 10*h(o) + r(o). Factor l(s).\nAnswer: 4*s*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (14 - 7 - 5) - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-49)\/(-3) + (36\/(-6))\/18. What is the greatest common divisor of 80 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2234403273.\nAnswer: 3, 744801091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, -2861343, -20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d*n**2 + 2*d*n - 11*d + 39*n**2 wrt n?\nAnswer: 4*d*n + 2*d + 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11111114447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*c - 9355 + 1795. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*m + b + 11, 4*b = -4*m + 84. Suppose m*v = 15*v + 1254. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 9:40 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - x**2 - 185 + 184 + 2*x)*(-1 - 2 - 2).\nAnswer: 15*x**2 - 10*x + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - j = 2*q - 86, j = 5*q + 146. Let k be 376*(-3 + (-33)\/(-9))\/q. Let y = k - -44\/5. What is the third smallest value in -3, y, -2, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104939 - 121*i**3 + 52473 + 52466.\nAnswer: -121*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 2*d**5\/15 - 38*d**4\/3 + 298*d**3\/9 - 74*d**2\/3 - 460. Factor l(i).\nAnswer: 2*i*(i - 74)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2976507\/160 + 18603. Let j = -13391\/888 + 467\/37. Find the common denominator of j and b.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cc065 (base 16) to base 5.\nAnswer: 203220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (11 + (-1 - -3) + -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2627295, -5254583, -7881869, -10509153, -13136435?\n\"Answer: c**2 - 2627291*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.43 (b) -0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/9, -5, 0, 1\/16, -4?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4905*n**3 + 0*n**2 - 4648*n**3 + 0*n**2.\nAnswer: 257*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106306 is divided by 433.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -25. Solve -w*c - 12 = -15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 10:55 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2 - 4 - 3*s + (-4 + 4 + 3)*(6387*s + 184382 - 184382).\nAnswer: 19158*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17615.\nAnswer: 5, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43066, 86153, 129240, 172327?\nAnswer: 215414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 607.9 kilometers in centimeters?\nAnswer: 60790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**5 + 4*x**5 + 3*x**5 + (-3 + x**2 + 3)*(-2*x**3 - x**3 + 4*x**3).\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -42 * 6483\nAnswer: -272286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 62, 121, 204, 311?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)*p*p**(-10\/11) assuming p is positive.\nAnswer: p**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.134216 grams to kilograms.\nAnswer: 0.000134216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -73100, -73098, -73096, -73094?\n\"Answer: 2*i - 73102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((((x\/x**5)\/x)\/x)\/x)\/x)*x*x*x*x**(4\/3)*x*x*(x*(x\/(x**7*x)*x*x)\/x)\/((x*x**(-1)*x)\/x))**(7\/6) assuming x is positive.\nAnswer: x**(217\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 21, 5, 3, 1 in descending order.\nAnswer: 21, 17, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (-2*2*sqrt(2057) - sqrt(2057))) + 2 + (sqrt(2057) + 1 - sqrt(2057))*4 + sqrt(2057)*-2*1)**2.\nAnswer: 528*sqrt(17) + 32948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617456 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42252874 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -457*q**3 + 457*q**3 + 33*q**4 + (3*q - 6*q + 2*q)*(2*q**2 + q**3 - 2*q**2) + 0*q + 0*q - 11*q**4 + (2*q + 4*q - 4*q)*(q**3 - 2*q + 2*q).\nAnswer: 23*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*9\/((-6075)\/(-20)))\/(1\/(-6))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-151 - (31 + -13 + -54 + 11))?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3513*v + 4*j + 28 = 3509*v, -5*v + 12*j - 18 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217627 is divided by 114.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1927*s**3 + 5*s**2 - 17*s + 13. Let g(i) = 2891*i**3 + 7*i**2 - 24*i + 18. What is -5*g(o) + 7*y(o)?\nAnswer: -966*o**3 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 20*c**2 + 20*c - 8. Does 8 divide x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z - z. Suppose z*f - 54 - 57 = 0. Let w = f + -4. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2311321 + 1?\nAnswer: 2311322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-1)*82\/216*-12?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + j**4 + 2 - 2*j**2 + 3*j**3 + j**3 + j**2 as c*j**3 + z*j + o + n*j**2 + f*j**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/198 - (-12)\/(-55). What is the second biggest value in 1, n, 4, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 15041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1651660?\nAnswer: -1651655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6751.03747 - -6751. Round u to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918478?\nAnswer: 2, 11, 83, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a = 50*a - 432. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -197 + 57. What is the lowest common multiple of h and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -20, 2*p - 129*r = -131*r + 2. Solve 0 = p*a + 2*w + 4 + 9, -5 = -3*a + 2*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7489592*u**4*y**2 + 19*u**3*y**2 + u**2*y + 65706*u**2 + 62*u*y**2 + 2*u wrt u?\nAnswer: -179750208*u*y**2 + 114*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkklkll. Give prob of picking 2 k.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + 0.4. What is the closest to -1\/3 in -0.1, w, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 27 = 3*a - 2*b, 3*a + 2*b - 32 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*z + 4*p - 6, 6 = 2*z + p. Calculate the lowest common multiple of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -o - 25, 5*o = 2*y - 167. Calculate the remainder when y is divided by (-1)\/(3\/(-2) - 68\/(-48)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*u + u - 7282, -4*u = -2*f + 2924. Suppose 175 = 1465*t - f*t. Solve -6*q + t = 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-3))\/((364\/(-12))\/(-7))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 9*r - 8. Let f(t) = -2*t**2 - 3*t + 3. Let u be f(-3). Let m be s(u). Let 3 + m*g - 8*g**2 + 0 - 5 = 0. Calculate g.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1991*o - 5982. Determine z(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-20) - 104951\/6580 - 0\/4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/848 and -139\/1272?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, -4, 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.8 + -0.2. Let k be -2 + (2\/(-2) - 1). Let h be ((-3)\/30)\/(k\/(-32)). What is the nearest to 0 in -0.5, x, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 17*k + 2. Let s be z(17). Let d be -3*5*((-9740)\/15)\/(-1). Is s\/(5\/(d\/(-8))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 748 - 606. Calculate the remainder when b is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 10 = 5*p. Let v be 2 - (20\/p + -39*1). What is the highest common divisor of v and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 1. Let v(y) = -10*y**2 + 2*y + 2. Let b(i) = 3*s(i) - v(i). Let j(w) = 2*w**2 - 2*w - 2. Let d be j(2). Is b(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1945 - -1949. Solve 0 = -q*r - 10 - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = 6*m - 5*z - 31, 5*m + 10 = z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5883 is divided by 327?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/8 and 23\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 209009.7 and -0.52.\nAnswer: -108685.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28609a1 (base 11) in base 15?\nAnswer: -672e36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 4\/7, 6, 1\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 187182 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: Multiply 0.5 and -1.8983713.\nAnswer: -0.94918565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/652792 and -9\/186512.\nAnswer: 1305584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0069 * -0.68\nAnswer: -0.004692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 577634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -1.9. Suppose -13*o + 20 + 6 = 0. Suppose -2*j = -f - 3, 0 = f + o*j + 3 - 16. Which is the smallest value? (a) z (b) f (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/450*-5*-4*2?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -7*z**4\/24 + 8*z**3\/3 + 9*z**2 + 16. Let j(b) be the second derivative of k(b). Find the first derivative of j(l) wrt l.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 3194 = -3266. Let l(o) be the second derivative of 0*o**2 + 0*o**p - 20\/3*o**3 - 17\/10*o**5 + 0 + 16*o + 1\/21*o**7 + 6*o**4. Factor l(b).\nAnswer: 2*b*(b - 2)**2*(b - 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuu when three letters picked without replacement from {g: 10, z: 1, i: 1, n: 1, u: 7}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1033 - -123?\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:31 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32269 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162155.\nAnswer: 5, 7, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -26*h**2 + 44*h - 25. Let d(m) = -5*m**2 + 9*m - 5. Let f(g) = 11*d(g) - 2*o(g). Let r(y) = -2*y**2 + 6*y - 3. What is -4*f(n) + 7*r(n)?\nAnswer: -2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3\/90)\/((-7)\/700*30)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 304 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*k - 7 = 6, 0 = k + 1. Let z = -11 + 13. Let d be -2 - z*(-8)\/7. Sort c, -1\/8, d in increasing order.\nAnswer: -1\/8, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4*m - 76 = 3*f, -5*m = 2*f - 66. Suppose 3*n - 5*n = -f. Solve 5*s - 17 = -o, 3*s - 2*o - n = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9665 divided by -4.\nAnswer: 9665\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v*v**(2\/15)*v)))**(1\/41)\/(v\/v**11*(v*v**14)\/v))**29 assuming v is positive.\nAnswer: v**(-69977\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 0*p**2 - 1\/3*p**3 + 0*p + 5. Let t(i) be the second derivative of -17*i**4\/6 + 21*i. Determine m(t(u)).\nAnswer: -1156*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - a + 1, -5*v + 4*a - 2 = 0. Suppose 0 = b - v*i + 7, -2*b + 26 = -4*i + 8*i. Solve 0 = l - b + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 12*w**3 - 73*w**2 + 90*w + 58. Let c(g) = 145*g**3 - 875*g**2 + 1085*g + 695. Let t(l) = -2*c(l) + 25*u(l). Find i such that t(i) = 0.\nAnswer: -1\/2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - a**2 + 1. Let d(v) = -v**3 - 3*v**2 - 41*v - 11. Let f(n) = -d(n) + 3*x(n). Find the first derivative of f(q) wrt q.\nAnswer: -6*q**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, w: 3, j: 6, d: 6}. Give prob of picking 1 j, 1 d, and 1 w.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1695302 or 1695301?\nAnswer: 1695302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*n + n - 24, 0 = 4*w - 3*n + 17. Let o be w*(46\/(-10) + 4). Let m be 4*2\/8 + 11. Solve o*i - s + m = i, 4*i + 3*s + 14 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 1430278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 44*x - 76 + 76. Is d(1) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152326 and 66038?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 2*l**2 - 5*l - 6. Let w be o(-2). Let y be (4\/w)\/((-2)\/(-348)). Suppose y + 187 = 5*t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -157, -343, -603, -937, -1345?\nAnswer: -1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*g - 145*g - 5117 = 0 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-731)\/43 - (-7)\/((-126)\/342)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 5, 13, 0.5 in increasing order.\nAnswer: -0.01, 0.5, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -15. Let b(t) = -t**2 + 2*t - 10*t - t. Let a be b(i). Solve -m = m - a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4916, 4917, 4918, 4919, 4920, 4921?\n\"Answer: j + 4915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 316758439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)\/(y**6\/y*y))\/(((y\/(y**(3\/2)\/y))\/y)\/(y\/(y*y**(-2\/13)\/y))))\/(y**(2\/7)\/y**(2\/5))**(25\/2) assuming y is positive.\nAnswer: y**(-1623\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 7*l = -c - 2, 17 = 5*l + 2*c. Solve 0 = 3*a + l + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 725.\nAnswer: 39\/725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-15\/7)*c**(15\/7) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/9 - 186*p + 22680 = 0. Calculate p.\nAnswer: -945, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012543 rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 155\/78?\nAnswer: 155\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**9*p*p)*p**4)**24 assuming p is positive.\nAnswer: p**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -5. Let h be (-9)\/6*o\/3. What is the remainder when (5 + h)*(-12)\/(-14) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 7. Let y be x(-5). Suppose 3*a + 477 = 4*q, -142 = -q - y*a - 9. Calculate the remainder when q is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2168115t in milligrams?\nAnswer: 216811500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flp when three letters picked without replacement from lfletppeplm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*r - 13*r - 19 - 22*r**5 + 7 wrt r.\nAnswer: -440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21259085, -21259065, -21259045, -21259025, -21259005?\n\"Answer: 20*q - 21259105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8609 + -8611. Which is the smallest value? (a) -1\/10 (b) 0.1 (c) -2\/23 (d) g (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-8))\/(1\/4). Let k = 4 - f. Let o = 2.3 - 1.8. Which is the nearest to 0? (a) o (b) 2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.250334581 to three dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -512.\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -3 + (1 - 0). Let z(w) = -w**2 - w + 126. Is z(c) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.85 and 168499.\nAnswer: -143224.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*k = -85*k + 80. Let u be (k\/6)\/(5\/18600). Round u to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38527 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3940, -9349, -16226, -24571, -34384?\n\"Answer: -734*r**2 - 3207*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1470408 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14656 - 3?\nAnswer: -14662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 1, k: 1, w: 1, x: 1, g: 2}. Give prob of sequence ix.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5aa - -1361d?\nAnswer: 13bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 - 1 - (5 + -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 67218557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 30117408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*461363\nAnswer: -322954.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -56*x + 136. Let u be r(1). Solve h - 17*h = -u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96290*q + 96354*q - 1856 = 0 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + 5*k**3 - 3*k**3 + 5*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Let p = q + -5. Let j = p - -1. Solve -5 = -j*y + y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2210 divided by 5.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6794245?\nAnswer: 5, 151, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188.42 - 54.88. Let v = m - -265. Let a = v + -21.699869. Round a to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 10*r**2 - 16*r + 22. Let d = -46153 - -46162. Determine g(d).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4120 and -55?\nAnswer: -226600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.91 + 0.09. Let u = 0.01 - -0.49. Let k = -3 - -4. Which is the closest to k? (a) u (b) z (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(((-10)\/(-8))\/(((-1625)\/50)\/13))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47716, 58193, 68670?\n\"Answer: 10477*q + 37239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2225*w**6 + 52*w**4 + 4*w**2 - 16*w - 2012 wrt w.\nAnswer: -267000*w**3 + 1248*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396970 by 1.\nAnswer: 396970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -29960*t. Let r(n) = 39*n. What is m(r(y))?\nAnswer: -1168440*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 74*x**2. Let p(s) be the third derivative of 8*s**5\/15 - 2046*s**2. Give m(p(k)).\nAnswer: 75776*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 2*r - 2450 = -2332, -r = 2*v + 19 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.64 minus -3?\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c + 658. What is the remainder when x(-14) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k + 40. Let d be l(0). Let z = -38 + d. Suppose -2*j - z*j = -y - 167, -2*j + 2*y + 76 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 406 + 781. Let q = t - 1187.000479. Round q to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbleelblll. Give prob of sequence eeb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - z - 12. What is d(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 + -105. Is 5\/t*(-7916)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 38747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2227*t = -2231*t. Let v(s) be the third derivative of t*s + 0 + 8*s**2 - 1\/3*s**3 + 1\/3*s**4. What is the derivative of v(q) wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 11*g - 5*l - 70, 0 = -5*g + 2*l + 85. What is the greatest common divisor of 1007 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/60 and -91\/4218.\nAnswer: 42180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 52*b - 330. Calculate r(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, c: 14}. Give prob of sequence vc.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 349998784 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2859150 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8951, 41148, 94817, 169964, 266595?\nAnswer: 384716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07304 + 3.07304. Which is the nearest to 1? (a) m (b) -2\/31 (c) 9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 22630308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/90 and 59\/655?\nAnswer: 11790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6668494802614 - 0.4.\nAnswer: -6668494802614.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1598*h = 1596*h + 5*s + 16, 0*h + 2*h - 14 = 4*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 1 + 3)*(2*u + 0*u - 4*u) - 3*u - 3 + 0 + 4 + 3*u - 2*u - 3*u + (-2*u + 4 - 4)*(-3 + 5 - 1))*(6 + 1 + 7) to the form h*u + f and give h.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o - 2*o)*(2*o - 2*o - 5*o**2) + (2*o**2 - 3*o + 3*o)*(-4*o + 3*o + 0*o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-17 - -51) - -37) + -133 + (3 - 1).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26614 = -363*z - 365*z + 7686 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6 - (-286)\/44?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 - 3*l + 3*l - l + (3*l - 4*l - 2*l)*(-4*l + 2*l**3 + 4*l).\nAnswer: -9*l**4 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296152699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31\/30 + -7\/15. What is the third biggest value in w, 8, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -831.9657 - -832. Round s to three dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27755087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2732436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (0 + -5))*-13. Let v = 95 - m. Does 36 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771812.9 tonnes in micrograms?\nAnswer: 771812900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*g - 10 = 0, 0 = -v + 6*v + 3*g - 38. Suppose -3*f + l = -103 + v, -2*l - 6 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -1388 + 368. What are the prime factors of y?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (252 - 241 - (0 - (-2 + -3))) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -897, -1672, -2449, -3228, -4009, -4792?\nAnswer: -5577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, f: 5}. What is prob of picking 4 f?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j = -3*l + 14, -j + 27 = 4*l. Let t = l - 6. Factor -t*x**3 + 0*x**2 + x**2 + 2*x**3 - x**3.\nAnswer: -x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxlwxkkweex. What is prob of sequence lw?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 6:53 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -26, -70, -152, -284, -478, -746, -1100?\n\"Answer: -2*d**3 - d**2 - d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1244 by -1244.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647596076 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((6\/3)\/2). Suppose -2*p + 2*t + 16 = 4*t, 24 = 4*p + u*t. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + -0.19. What is the third smallest value in -1\/3, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 27728834.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 17}. What is prob of sequence is?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*u. Let p(q) = -36 + 4*q - q + 39 - q**2. Let g be p(u). Solve 0 = -2*s - g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h - 15. Let k be (108\/60)\/(6\/20). Give z(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -66. What is the second smallest value in -2, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7091402 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - 2*v**2 + 3*v + 3. Let u(a) = -2*a - 20. Let s be u(-9). Let g be o(s). Solve -2*d = -d - g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jojojjjjjkoojk. What is prob of sequence jj?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38648 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(-2*sqrt(112) + sqrt(112)) + 5.\nAnswer: -12*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - x + 3*x + 5.\nAnswer: 2*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73593 is divided by 221.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6361*h + 167528 = 2465*h for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 1a?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 9)*(-4)\/(-3). Solve -2*b + r + 4 = 0, 3*b + 8 = -i*r - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 (base 10) in base 8?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.75, -20.51, 0.03, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824342 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - -1.5. Let n = -69 + 484\/7. Which is the third biggest value? (a) 0.3 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133725.7987 - 133718. What is p rounded to 2 dps?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, 1, 0, -13, -1 in decreasing order.\nAnswer: 111, 1, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0*u**6 + 1\/168*u**8 + 0 + 0*u**7 + 0*u**3 - 1\/24*u**4 + 0*u**5 + 0*u + u**2. What is the second derivative of w(h) wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 29*s + 210. Let x be w(-17). Solve 2*a = 4*p - 10, -8*a = -x*a - 5*p + 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -2\/9, -2, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**7\/2520 + 3*q**4\/4 - 4*q. Let u(w) be the third derivative of v(w). Let n(z) = -3*z**2. Calculate n(u(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 957376163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 740*t + 30. Suppose 4*y + 18 = f - 0, y = 5*f - 71. Let h be z(f). What is h rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 2*q - 16, h = q + q - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 9:07 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 228. Suppose 0 = 2*z - 65 + 9. What is the greatest common factor of z and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (1\/(-10) - ((-1377)\/(-60))\/(-17)). Which is the closest to u? (a) -0.5 (b) 2\/15 (c) 1\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**3\/3 + 1864*b**2\/3 - 26116*b + 72720 = 0. Calculate b.\nAnswer: -505, 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -1\/5*c**4 + 81\/5*c - 82\/5 + 83\/5*c**2 - 81\/5*c**3 = 0.\nAnswer: -82, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 45*x + 23. Let f be i(-22). Let w(o) = o**3 + 10*o**2 + 9*o - 12. Let s be w(-9). Let q = -15 - s. Put q, 2, f in descending order.\nAnswer: 2, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4203*o + 11946 = 3363*o - 1593*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4 + 1. Let m = -3.36 - -2.9. Let s = 0.06 + m. What is the closest to 1 in z, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 + -86. Let p = -28 + b. Let n(k) = -k**3 + 8*k + 9*k - 6 + 18 - 7*k - p*k**2. Calculate n(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.6, -54, 2\/11, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 761684 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -952, -2507, -4062, -5617?\nAnswer: -7172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 125471, 125508, 125545?\n\"Answer: 37*r + 125434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-six fifths of a decade?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 8*k**2 - 7*k + 4. Let t be r(7). Suppose 9*m = t*m. Suppose 4*j + q = 305, q = -2*j - m*q + 151. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + sqrt(720)*-2 + sqrt(720))**2 + 5)*-5 + -1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3 + 3*b**3 - b**4 + b**2 + 2 + 4 + b to the form u*b**4 + g*b**3 + r + w*b + l*b**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 4*h + 5. Give r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + -1 + 8)\/(0 - -1). Suppose -3*n + 91 = k*z, -2*z - 2*n + 4*n = -56. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16447575451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.165 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/690)\/((-3)\/(9\/(-1)))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5080069811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 - 2332*d**4 + 9312*d**3 + 16*d**2 - 37264*d + 37248.\nAnswer: (d - 2328)*(d - 2)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6054 * -0.08.\nAnswer: 484.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 + 234*l**3 + 225*l wrt l.\nAnswer: 24*l**2 + 1404*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1*(-2)\/6)\/((-154)\/406) and 37\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3380942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.72 - 19.1. Let y = 3.5854 - v. What is y rounded to 3 decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00546055057 to 6 decimal places.\nAnswer: 0.005461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18904.17 less than -0.04557958?\nAnswer: 18904.12442042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.1174 litres to millilitres.\nAnswer: 19117.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 34.48\nAnswer: 103.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691 + 13*m - 570 - 571 - 563 + 2395 + 7*m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z - 4679 = 59*z - 1683 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 270 = -1719. Suppose g - 212 = -x. Solve -4*y - 3*m + 4*m = 1, 20 = -g*y + 5*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 178, 196, 214, 232?\n\"Answer: 18*f + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqtldl. Give prob of sequence ttqd.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 2*q - 2*c + 52 - 56 = 0, -45 = 7*q + 3*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-90)\/(-120) - (-6)\/272*-18. Let j = -598 - -597. Is j <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 1. Let z be t(-2). What is the nearest to 1\/4 in 4, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/15 - 767\/177. Let c(t) = -t**2 + 3. Let i be c(0). Suppose -2*p - i*a = -7*p - 18, -a - 2 = p. Sort -2, u, 6, p in ascending order.\nAnswer: u, p, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000769 to five dps.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20249.838 months in millennia?\nAnswer: 1.6874865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 7*x = 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*n + 3289 + 600 + 110 + 1112 = 0 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/36*-66)\/(16700\/12525).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/5)\/78*12\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1156*b**2\/3 + 153476*b\/3 - 5094049\/3 = 0.\nAnswer: 2257\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 13*w + 1952. Suppose w = 8*a - 72. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759788 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/754199?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107*o**4 + o**3 + 1445*o**2?\nAnswer: 2568*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -2, -7, 0.4, 4\/7, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9951 or -485\/26?\nAnswer: -9951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 42, -0.06, 2\/13, -0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*s = 4, 0*s - 5*s = -5*r + 25. What is l in -r*l**5 + 20*l**3 + 20*l**2 - 16*l - 16 - 4*l**4 + 0*l**4 + 0*l**4 - 2*l**5 = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = x + 5*x. What is the remainder when 6\/(-3)*(0 - (-2 - -5)) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8924, -17831, -26740, -35651, -44564?\n\"Answer: -u**2 - 8904*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 - -112. Is n a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t + 1. Calculate the remainder when p(18) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -0.3, -190?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*r**3 + 626*r**3 + 60970 - 60970 - 324*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/13 - 8*b**3\/13 + 252*b**2\/13 - 1080*b\/13 + 1350\/13 = 0. Calculate b.\nAnswer: -15, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0244 + 2.5656. Round l to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-3) - 3\/9. Let s be 6 + -8 + (0 - 0). Let x be -7*s\/(2 + 0). Solve 3*a + x + m = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002791695 rounded to 7 decimal places?\nAnswer: 0.0002792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((35 - (-1849)\/(-86)) + -15)\/((-3)\/(-184))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -43.3 * 7\nAnswer: -303.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 67, 43, 3, -59, -149, -273, -437, -647?\n\"Answer: -k**3 - 2*k**2 - 11*k + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.09 - -0.09. Let j = n + 6. Let i = 12 + -8. Which is the third smallest value? (a) -1\/9 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 6*a - 4 = -2*a, -3*a = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqxxqx. What is prob of sequence qxx?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 0, 149.\nAnswer: 0, 37, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0436 - 3020382.3.\nAnswer: -3020382.2564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1784 and 94998?\nAnswer: 379992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - s**2 - 3*s - 10. Let k be c(-11). Let y be (k\/6)\/(1\/(-9)). Let j = y - -69323\/18. Find the common denominator of 71\/4 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32221?\nAnswer: 7, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 14 + c - 1.\nAnswer: c - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 - 74669174.\nAnswer: -74669173.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -8*v**3\/3 - 11*v**2\/2 + 19*v + 10. Let k be t(7). Round k to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*2.2724.\nAnswer: 0.68172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Let o = 3 - d. Find the third derivative of 5*y**o - 2*y**2 + 3*y**2 - 6*y**3 - 4*y**2 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1181 + -1179.618. Let q = h - 1.4. Let o = q + 0.017995. What is o rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = -0*n, -3*m - 542 = 4*n. Let q be 2\/(-5) + m\/(-15). Find the common denominator of (-1754)\/360 - q\/(-54) and 65\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + t. Let b(h) = -7*h**2 - 16*h + 1. Determine b(o) + 6*y(o).\nAnswer: -o**2 - 10*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -350461*l*p**3 + 4050*l*p**2 - l*p - 55*p**3 - p**2 + 1341*p wrt p.\nAnswer: -2102766*l - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 25, 0.\nAnswer: -4, 0, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 399*n**4\/4 - 31*n**3\/3 - n**2 - 116. Find the third derivative of x(m) wrt m.\nAnswer: 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 2*c + 4. Let v = 15 + -15. Let h be t(v). Solve -5*y + 10 = -3*u, -4*y = 3*u + h - 39 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 929 = -5*b - 471. Let f = -188 - b. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 6 (c) -3\/2 (d) 0.1 (e) 0.5 (f) 0.2 (g) 191\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -1.55018.\nAnswer: -1.25018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - s**2 + 2*s - 1. Suppose -5*d - 1 = -6. Let l be u(d). Is 2 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezaz when four letters picked without replacement from {z: 2, e: 1, a: 14}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 73 = -443. Let j = 115 + u. Let l = 42 - j. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10*(-4)\/(-24)*-15. Calculate the highest common factor of b and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*u**3 - 385*u**2 - 43*u + 681 wrt u.\nAnswer: 132*u - 770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/9 + 10*y**2\/9 - 22*y\/3 + 6 = 0 for y.\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2 - 26964*v - 215648 = 0.\nAnswer: -26956, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 98. Let q be (-2)\/1 - g\/(-28). Which is the biggest value? (a) 2 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*x + 1346 - 1590 + 6292 = 0 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**2 + 18*j**3 + j**2 + 2*j**2 - j**2 wrt j?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0)*(5 + -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 273841676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 7*v**2 + v**2 + (v + 3*v - 6*v)*(-2*v + 3*v + 0*v) + 5*v**2 - 2*v**2 - 2*v**2 to b*v**2 + x + u*v and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 2. Let y be -1*(-1)\/(-1)*3. Let z(u) = 0*u - 3*u**2 - u**3 + 4*u + 1 + 3*u**2 - 2*u**2. Let n be z(y). Determine v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - -11c529?\nAnswer: 11c502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 504 divided by -126\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2 + 32988*t - 10961937 = 0.\nAnswer: 343, 10653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose -4*f + 4 = d - 7, 2*d + 18 = y*f. Solve 2*p = 4*p - 4*c + 22, p - f*c = -17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**3 + 6*p**2 - 7. Suppose -5*w + 3*c + 7 = -12, 3*c + 4 = 2*w. Let u(k) = 5*k**3 + 5*k**2 - 6. Give w*u(h) - 4*g(h).\nAnswer: h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/54)\/(2\/3). Let z = 0.05 - -3.95. Which is the third smallest value? (a) -1 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -189 (c) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7679*-8041.\nAnswer: 61746839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*p**4 + 1043*p**3 + 1060059 wrt p.\nAnswer: -212*p**3 + 3129*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 20. Let j be y(0). Suppose 0 = -7*f + 3*f + j. Suppose -3*q + f = -7. What is the remainder when q is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/2*18\/12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:58 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7607a8 + -82?\nAnswer: 760726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -8. Let f = -6.08091501 + 0.08091411. Let t = h - f. Round t to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (16 + -2)) + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11550*f - 608734 - 603391 = 173875 for f.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5 = -d, -2*i - 6*d = -d + 25. Suppose -36*f + 41*f = i. Suppose -3*s + f*j + 609 = -3*j, -s - 5*j + 173 = 0. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + (-1 - -2) - -59) + (17 - 10 - 9).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4\/3)\/(3 + (-102)\/36) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 554.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29246949 and -422?\nAnswer: 29246527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153834*a**2 - 73962*a**2 - 79871*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -3*p**2 + 0 + 1\/24*p**6 - 1\/24*p**4 + 0*p**3 - 1\/30*p**5 + 0*p. Give j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 + (0 - 1 + 0)*(0 + 5 + 1) - 3 + 2 + 2)*(2 - 2 - 2*u)*(2*u**2 - u**2 + u**2)*(0*u + 0*u + 3*u).\nAnswer: 84*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j - 21 = -2*z, 0 = 4*j + 4*z - 24. Let s be 4 + (-2)\/(-2) + 0. Suppose s*m = 8*m + j. Which is bigger: 1\/4 or m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 7*c + 2. Let g(o) = -o**2 + 4*o - 1. Let l(t) = -5*g(t) - 2*x(t). Let j be l(6). What is the first derivative of m - 4 + j + 0 wrt m?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -454\/5, -0.1, -3\/4, -2\/43 in decreasing order.\nAnswer: 0.3, -2\/43, -0.1, -3\/4, -454\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-1 - 10\/(-5). Suppose -4*y + 11 = -g. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpta when four letters picked without replacement from {t: 1, p: 1, v: 2, a: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (339\/1130)\/(6\/35). Suppose -4*p + 12 = -0*p. Which is smaller: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*o = 17*o + 520 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 16. Suppose -3*o + x = -114. Calculate the remainder when o is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 - -4290346?\nAnswer: 4290432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -685 - -2535. Suppose 2*m + n = 12*m. Does 28 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7338933985743 + 7338933985743 + 2*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 - 107504*c\/5 - 430048\/5.\nAnswer: 2*(c - 53756)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18632.0099824 - 18632. What is l rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 13*s - 239. Calculate the remainder when 123 is divided by m(21).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 8) to base 10.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/25)\/((-2)\/(-20)). Suppose -i - d*a + 34 = -a, -3*i + 58 = -2*a. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111011111100011110 + -110100?\nAnswer: -111111011111101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 202*s**2 + 14*s + 276. What are the prime factors of t(-6)?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 4*s**3 + 2*s**3)*(1 + s**2 - 1) - 9288*s**5 - 10*s + 18582*s**5 - 9291*s**5 + 7*s**3 + 2.\nAnswer: s**5 + 7*s**3 - 10*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 4 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 1 + 4)*(-1 + 7 + 9) - 1 - 1 + 1)*(1 - 1 + 5)*(3*h - 5*h + 4*h) as o + v*h and give v.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p - 12. Let j = -27 - 17. Let k = j + 65. Calculate the remainder when k is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + 2*p - 4. Let v be w(2). Let d be ((-1)\/v)\/(18\/48). Is 1 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (352\/33)\/((-6)\/(-63)). Suppose w*p = 110*p + 58. Solve -33*f - 12 = -p*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 36.70142 millimeters?\nAnswer: 36701420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-765)\/90 + (-465)\/60*14.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 30\/((-24)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*s - 3*s - 3*s)*(0 - 3*s + 0) - 19*s**2 + 144 - 145 - 13*s**2)*(0 + 0 + s).\nAnswer: -5*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b*n**3*p + b*n**3*u + 2*b*n**3 - b*n*p + 2*b*n*u - 4*b*p*u - 2*n**2*p*u + 6*p*u wrt n.\nAnswer: -24*b*p + 6*b*u + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -820 not equal to -823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.8. Let f = 83 + -83. Let l = f + z. Which is the nearest to 1? (a) l (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -2, 2, 254, -97 in descending order.\nAnswer: 254, 54, 2, -2, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28324776.\nAnswer: 2, 3, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -428776 greater than -8146717\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*r**2 - 348*r**2 + 856*r**2.\nAnswer: 150*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c2c0 (base 13) in base 11?\nAnswer: -125a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.00272 + -0.077358. Round u to 3 dps.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 42. Let g(f) = f. Let w(r) = -11*r**2 - 3*r. What is u*w(a) + 3*g(a)?\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyyn when four letters picked without replacement from yytn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaee when four letters picked without replacement from sveae.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1512, -3024, -4540, -6060, -7584?\n\"Answer: -2*g**2 - 1506*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20*-3*4\/30. Let s(t) = 2*t**2 + 9*t + 6. What are the prime factors of s(z)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 465960?\nAnswer: -4193640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**6\/120 + 11*q**5\/120 + q**4\/4 - 5*q**3\/3 - 43. Let z(o) be the third derivative of y(o). Factor z(c).\nAnswer: (c + 3)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1706395, 1706270, 1706145, 1706020, 1705895, 1705770?\nAnswer: 1705645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 81\/5, -0.3, -0.16 in increasing order.\nAnswer: -0.3, -0.16, 81\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/1411 - 3753\/112880. Does p = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675109564 to the power of 1\/2, to the nearest integer?\nAnswer: 25983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*t + 33*t + 898 = -2162. Solve 0 = 36*v + 6 + t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2625524.058 rounded to the nearest one hundred?\nAnswer: -2625500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 16*h**2 + 23*h + 143. Determine y(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 11:14 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -23*k + 7*k + 7*k + 5*k + 24. Does 10 divide i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let p(y) be the third derivative of y**5\/60 - 59*y**4\/24 - 153*y**2. Determine p(x(a)).\nAnswer: a**2 + 59*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116474 = -2*x + 519176. Let p = 292868 - x. Let k = -24517 + p. Round k to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a + 48*a - 4*j = -14, 0 = -2*a + 4*j - 18 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(7 + (-16)\/4). Solve -6*q + o*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 + 756*m - 5333. Calculate v(7).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 + 271*z**2 + 356*z + 7. Let i be m(-89). Solve 4*l = -16, -22 = 5*j - 4*l + i*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n*n**(-6\/7)))*n*n)\/n*n\/n**(-5\/4))**13 assuming n is positive.\nAnswer: n**(1599\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2022.\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006317 to five decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3584) - -2*sqrt(3584)*4)\/(-2*sqrt(256)\/sqrt(8)).\nAnswer: -18*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 32. Let t = y - -10. Are -3\/11 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 12. Let h(l) = l**2 - 5*l - 5. Let b be h(5). Suppose -k - 2 = -4. Put t, b, k in ascending order.\nAnswer: b, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10 + 12\/((-3060)\/(-527)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 12*y - 3. Determine o(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.66639l in millilitres?\nAnswer: 97666.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5844.62404 - -5845. Round r to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(sqrt(91) - (sqrt(91) + (sqrt(91) + (sqrt(91) - (sqrt(91)*3 - sqrt(91)))*5 - sqrt(91)) + sqrt(91)))\/(sqrt(63)\/(-3*sqrt(9) - sqrt(9))) + -2.\nAnswer: -80*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 138 = -3*j + j, 3*j + 5*f = 207. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 4 - 4 + (3 - 3 + 2*s)*(s + s + 0*s) + 3*s + 3*s**2 - 3*s + (3 - 3 + 8)*(0*s**2 - s**2 + 2*s**2).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 s when three letters picked without replacement from {q: 1, g: 1, n: 2, p: 2, w: 2, s: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*w - 3*w = -1760 - 190. Let j be (40 + -1)*(-2)\/(-3). Calculate the highest common divisor of w and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57032.\nAnswer: 2, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13212 - -201312?\nAnswer: 221130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 38 + -40 + (-74 - 18)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/3 (b) 3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 4896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-2)\/(1 - 0)). Let r(s) = -s**3 - s + 1. Let y(c) be the second derivative of -2*c**5\/5 - c**3 + 3*c**2 - c. Give v*y(u) + 6*r(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 6*g + 6. Let b be f(5). Let m be (-9)\/6 + (-9)\/6. Let x be -1 + 0*(-4 - m). Put -10, x, b in ascending order.\nAnswer: -10, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -691*j**2 + j - 5. Suppose -3*m - 10*m = -65. Let p be o(m). Let z = -8196 - p. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(18\/(-80) + (-545)\/(-872)). What is the highest common divisor of j and 10655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6871*d - 281848. Calculate o(-41).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96902 and 44724?\nAnswer: 581412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-15 + (24 - 8))*(-1 - 1)) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 921546950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 15, 4 in ascending order.\nAnswer: 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-16)*-6)\/(17\/34)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1414113 + -4?\nAnswer: -1414122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c**3 - 93*c**2 - 165*c - 75. Let d(m) = -2*m**3 + 23*m**2 + 41*m + 19. Let a(i) = -21*d(i) - 5*y(i). Determine k so that a(k) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5495 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Suppose -x + g = -3. Differentiate 6*d - x*d + 0*d - 3 wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21246 is divided by 215.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/7 (b) 53\/6 (c) -1\/4 (d) 12 (e) -49\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 145*i + 107. Let c(p) = -578*p - 427. Let j(d) = 2*c(d) + 9*x(d). What are the prime factors of j(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3297189 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**4 + 17*v**3 - 70*v**2 - 36*v + 384. Let p(h) = -4*h**4 - 17*h**3 + 69*h**2 + 37*h - 384. Let a(f) = -4*p(f) - 5*r(f). Factor a(j).\nAnswer: (j - 8)**2*(j - 3)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.647 + -6.79. Let t = -2.84021 + r. What is t rounded to four dps?\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004593 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i + 540 = 834 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3770, -8\/9, 0, -1\/6 in descending order.\nAnswer: 0, -1\/6, -8\/9, -3770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppyyuyppyyppyyu. Give prob of sequence ppy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 3, u: 5, s: 4, f: 1}. What is prob of sequence bu?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133*a**4 - 225*a.\nAnswer: -1596*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 6:49 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 971, 741, 501, 245, -33, -339?\n\"Answer: -x**3 + x**2 - 226*x + 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/17)*a)\/a)**(-2\/5) assuming a is positive.\nAnswer: a**(-4\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 + 5 + -6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -5)\/(-4)*2. Let l be 3\/s + 13\/26. Let f(i) = 3*i**3 - i. Let g be f(l). Let t(x) = -4*x**2 - 2*x - 3. What is t(g)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 less than -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 190*n - 3087. Let s(q) = -94*q. Calculate -r(p) - 2*s(p).\nAnswer: -2*p + 3087","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 16. Let d be 1*(3 - v - -4). Find the second derivative of -623*g**3 - g - 37*g**d + 623*g**3 wrt g.\nAnswer: -740*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17782.42300195 + -17781.983. Let a = f + -0.44. What is a rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3 - s**2 - 3. Let d(g) = -2*g**2. Give d(q(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -47 - 37. Let x = -25 + t. Suppose r - 65 = 5*n, 74 = r - x*n + n. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*j + 135 = 0, 2*z + 2*z + 5*j + 181 = 0. Let p = -72 - z. Let v be 2 - 4 - p\/15. Which is the second smallest value? (a) 0 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56078482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, -593, -2279, -5549, -10931, -18953, -30143?\nAnswer: -45029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by -2.\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 3\/2, -29, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -5.3953482073.\nAnswer: -5.6953482073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*23.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**2 + 4*g**3 - 5*g**2 + 3*g - 7*g**3 + 2 + 4*g**3 in the form l + k*g + b*g**3 + s*g**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 798, 931, 1292, 1995, 3154?\nAnswer: 4883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, n: 2}. Give prob of sequence een.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131127 and 6867?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4139, 16758, 37841, 67382, 105375, 151814, 206693?\n\"Answer: -v**3 + 4238*v**2 - 88*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/3)\/m)**(-38))**(2\/11) assuming m is positive.\nAnswer: m**(-152\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79651718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + 5. Let d = -7 - 0. Let h = d + p. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 46 + 72 - 26.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/4 and -35\/4299843?\nAnswer: 17199372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*i - 9, w = -2*i - 0*i + 6. Suppose 4*n - 2*h + 5*h - 12 = 0, -3*h = w. Let g = 266 - 266. Solve -12 = -n*b - g, 5*t + 3*b - 27 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*g - 8, 7*t - 3 = 4*t + 5*g. Let y = -229 + 224. Let h = 69 + -62. Which is the closest to h? (a) t (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19128\/13 less than 1471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20*((-90)\/210)\/((-30)\/28)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25277629?\nAnswer: 13, 131, 14843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6852.5062 + 6854. What is o rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6748404?\nAnswer: 2, 3, 13, 181, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*f**5 - 78078*f**4 - 7*f**2 - 634876*f.\nAnswer: -1380*f**2 - 1873872*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**4\/8 - 10*x**2. Let t(i) = 4*i**2. Give u(t(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/66 + 13\/2. Let z = 3 + 0. Suppose 0 = -c + 5*n + 15, 0 = -2*c - z*n + 21 + 22. Solve -3*t = -l*t - c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9271937 - 6320679. Let x = 6151258 - t. Round x to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2980325.\nAnswer: 1\/2980325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/3654 and -103\/1428.\nAnswer: 124236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 2*k + 8 - 3*k in the form m*k + r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 4 (c) 6.9879 (d) 5 (e) 1\/3 (f) 0 (g) -0.11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + sqrt(45) + (sqrt(45) + sqrt(1620) + sqrt(45) - sqrt(45))) + (sqrt(360)\/sqrt(72))\/(-2*sqrt(18)\/sqrt(2)))**2.\nAnswer: 2155*sqrt(5) + 936905\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1071\/42)\/51)\/((-23)\/(253\/22)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.3, -53, -2\/5 in increasing order.\nAnswer: -53, -2\/5, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/98 and 41\/70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + g - 2*g)*(-g + g - 4*g) - 11*g**2 - 7*g**2 + 6*g**2 + 5*g + g**2 - 5*g as f*g + w*g**2 + q and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 2*c**2 - 5*c**2 - 5*c + (1 - 4 - 1)*(c - c + 2*c**2))*(-4 + 2 + 0).\nAnswer: 14*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1729829, -1729891, -1729993, -1730135, -1730317, -1730539?\nAnswer: -1730801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 7. Let i be q(5). Solve -5*o + 3 = -3*x - 8*o, -i*x - 5*o - 13 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -14. What is the greatest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -20*m**2 - 13*m - 26. Let l(j) = 7*j**2 + 4*j + 9. Let k(s) = -17*l(s) - 6*u(s). What is k(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -522792 divided by 58088\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/43384 and -69\/40.\nAnswer: 216920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, 24, 18, 0, -30, -72?\n\"Answer: -6*x**2 + 24*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 202? (a) -0.02 (b) -1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 245\/6 or 40?\nAnswer: 245\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17d (base 14) in base 9?\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(99*10\/45).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1164*r**3 - 11*r**2 + 5. Let t(d) = -388*d**3 + 4*d**2 - 2. Calculate -11*t(x) - 4*v(x).\nAnswer: -388*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 2, u: 2}. Give prob of picking 1 m and 1 u.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 7. Let t(d) = -3*d - 851. Determine t(u(p)).\nAnswer: 6*p - 830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2096374?\nAnswer: 2, 7, 137, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 30 = -15*s + 47 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)*a**(-9)*a)\/(a**(-3)*a)**(2\/25) assuming a is positive.\nAnswer: a**(-471\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2102*z + 260 = 2082*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 297*w**2 - 76 + 2*w**3 + 261*w**2 - 558*w**2 as r + v*w**2 + d*w**3 + k*w and give r.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1913.99, -0.2 in increasing order.\nAnswer: -1913.99, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1774 + 126 = -37*x - 94*x + 1627 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c - 181 = -36*c - 1201 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.0587 rounded to 0 dps?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1620)\/(-48))\/(42\/(-16) + 3) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2373003 + 2373183 = 3*n, 0 = 4*x + n + 164 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*j**3*l + 4*j**3 + 29*j**2*l - 2*j*l - 10*l - 3398 wrt j.\nAnswer: 486*j*l + 24*j + 58*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 282\/282*2\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 1644632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012688 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 7:24 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -459350, -459356, -459352, -459332, -459290, -459220, -459116?\n\"Answer: h**3 - h**2 - 10*h - 459340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-2 - -85) - 1. Let k = y - -153. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 16262.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 8*i + 25. Let o be x(-10). Calculate the remainder when (-82)\/(-3) + (o\/5)\/(-27) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*h + 619*h + 106*h to y*h + o and give y.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/(-4) - 2)\/(21\/11606) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 22, 37, 52, 67?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x. Let u(d) = 148 - 3*d - 148. What is u(t(s))?\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243560?\nAnswer: 2, 3, 5, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 240, -136, -1182, -3234, -6628, -11700, -18786?\n\"Answer: -56*c**3 + c**2 + 13*c + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3\/7 + 2166*i**2\/7 - 551430*i\/7 + 41000850\/7 = 0.\nAnswer: 165, 753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 15 - 5*g**3 + 11 - 3*g**3 + 447*g**2 + 2*g.\nAnswer: -8*g**3 + 447*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(144)*-3) + sqrt(78)\/(1*sqrt(6) + sqrt(6))*5 + -5.\nAnswer: -5 + 29*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76131, -152803, -229475?\n\"Answer: -76672*m + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 2*j**3 + 13*j**2\/2 - 5*j - 80. What is h(-3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112662045*m**3 + 3 - 112662026*m**3 - 3.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 14, 21, 40, 77, 138, 229?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -50, -49, -48?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppplpplnppnnpn. What is prob of picking 2 p and 2 l?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1584) + 1 + 2 + sqrt(1584) + (sqrt(1584) - (sqrt(1584)*2 + sqrt(1584))))*-1*3)**2*5*3*4.\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**2 - 2*r**2 - 2*r**2)*(2*r + 5 - 5)*(5*r - 16*r - 19*r) as a + h*r**4 + b*r**3 + v*r + m*r**2 and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*d**2*m + d**2 - 11*d*m**2 - 2*d*m - 15274*m**2 - 2*m with respect to d.\nAnswer: 56*d*m + 2*d - 11*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 5174 + 284. List the prime factors of a.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551157?\nAnswer: 3, 17, 101, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**2 - 8. Let h(j) be the third derivative of -j**5\/30 - j**3\/2 + 7*j**2. Calculate -8*h(m) + 3*n(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444800 and 3500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21303848 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3680 and 5773.\nAnswer: 923680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -742 - -1323. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 353851.32 to the nearest one hundred.\nAnswer: 353900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - 3*r**3 - 2*r**3)*((3 + 3 - 3)*(0 - 2*r + 0) + r - 3*r - r).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3755418.\nAnswer: 2, 3, 83, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - x**3 + 0)*(2 + 2*x - 2) + 0*x**4 + 4*x**4 - 3*x**4 - 509*x**4 - 2254 + 2254 + x**3.\nAnswer: -510*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) - 5*-1*sqrt(539)) + ((sqrt(539) - (sqrt(539) + 1)) + -4 + sqrt(539) - sqrt(539)))**2 + -5)*-1.\nAnswer: -19424 + 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3601*-0.5.\nAnswer: 1800.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 3*n - 3*n)*(5 - 6 + 3) - n - n + n + 4*n - 5*n + 0*n - 6*n + 2*n + 3*n)*(2*n + 2*n - 2*n) + (-2*n - 4 + 4)*(0*n + 2*n + n).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 - -3.1. Let k(w) = 99*w - 567. Let c be k(6). Is c >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + 0.6. Let t = -1.12 - -4.12. Which is the closest to -0.1? (a) v (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23500 is divided by 2332?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, x: 1, d: 2, v: 1, u: 2}. What is prob of picking 1 u, 1 o, and 2 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 7 = -3. Suppose 0 = -3*y + 4 + g. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - 1044\/(-24)*6\/63. What is f in -o*f + 0 - 1\/7*f**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4)\/q)\/q)**(-8\/7)\/((q*q**(-2\/3))\/q*q\/(q\/(q\/(q**(-1\/3)\/q)))) assuming q is positive.\nAnswer: q**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*g - 28, -6*n - 5*g = -5*n + 24. Sort -5, 0, n, 10 in decreasing order.\nAnswer: 10, 0, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19544 - 19480. Which is greater: b or 1457\/23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1537, -5, -0.2, 3\/2, 0.023 in ascending order.\nAnswer: -1537, -5, -0.2, 0.023, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4134 + -1.\nAnswer: -1.4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 127*p**2 + 64*p - 2. Calculate c(64).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 123, 5, -177 in ascending order.\nAnswer: -177, -4, 5, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/169, 3\/313, 0.06.\nAnswer: 3\/313, 4\/169, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*m - 66 = 37*m. Is -2*3 + ((-122457)\/(-1))\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**4\/3 - 52*a**3\/3 - 338*a**2 - 16*a. Let f(b) = 0. Calculate b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 1052*q**2 + 1040*q - 2096.\nAnswer: 4*(q - 1)*(q + 2)*(q + 262)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3181 + 0.0181. Which is the closest to 0.1? (a) -2\/7 (b) -15 (c) 0 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z\/(z\/((z\/(((z\/(z\/(z*z\/(z*z**(-2)*z*z*z))))\/z)\/z))\/z)))\/z)\/z)*z**(-3))\/(z*z**(-1)*z)**(3\/13) assuming z is positive.\nAnswer: z**(-29\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90214 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-56)*7)\/(1\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6792 - 6820. Which is the nearest to -2? (a) s (b) 3\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.064, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-23)\/((-69)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 - 1. Let l = 173 - n. Suppose 0 = 3*k - 2*k - 17. Calculate the greatest common factor of k and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 50. Suppose w*g - i + 0*i = 2, 0 = -2*g + 2*i - 2. Let d be ((-1)\/(-2))\/((-58)\/(-12)). Is g at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millisecond in nanoseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 404*g - 160 = -406*g, 0 = g - 2 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -91, -4, -27, -16481 in increasing order.\nAnswer: -16481, -91, -27, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -42. Let f = k + 25.16. Let s = 0.1600006 - f. Round s to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19260 + -6580. Calculate the remainder when l is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 44 = 6*p. Let d = 526 + p. List the prime factors of d.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -j + 722, -6*b - 1794 = -11*b + 3*j. Does 43 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002720679889 rounded to six decimal places?\nAnswer: -0.000272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -14.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 700092?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -118 and 18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -26874 + 8159.65563\nAnswer: -18714.34437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*b**3 - 50 + 50.\nAnswer: -495*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -23, 47, 3 in decreasing order.\nAnswer: 47, 5, 3, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(3 - -1)*1*64. Let y = 38 - t. Does 23 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-3))\/4)\/((-3)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 3.87, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/36*-3*(-7 - -85). Which is the second smallest value? (a) f (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-180) + (-6)\/45. Suppose i = -4*a + 4779 + 7769. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*c - 385. Let t be 4\/14 - (-1331)\/c. Let r = t + 17. Which is smaller: r or 19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r - 165. Let v be q(34). Let x be 4\/45*(-5)\/2. What is the second smallest value in 0.5, v, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, i: 3, t: 1, q: 2, o: 3, d: 1}. What is prob of picking 1 d and 1 o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -8*t**5 + 2886*t**4 - 108584*t**3 + 620106*t**2 + 9598624*t - 7502880 = 0.\nAnswer: -7, 3\/4, 20, 28, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7516 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:06 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Suppose -3*v + 2*l + 339 = 0, -3*v + x*l = v - 452. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:25 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1643 + 6705\/4. Let s = 33 - l. Sort 8, 5, s in ascending order.\nAnswer: s, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, a: 1}. What is prob of sequence dd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5772\/(-30) - -208)\/(1 + 26\/(-20))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -12*c**2 + c - 11. Calculate the remainder when w(-1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g - 67 = -5*k, 0 = k + 3*g - 2. Suppose 11*l = -33 - k. Find the common denominator of -6*(-82)\/810*(-6)\/l and 1\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44210746?\nAnswer: 2, 22105373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -468818, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3)\/k)\/(k**(2\/7)\/k))\/(k**(4\/7)*k)**(1\/28) assuming k is positive.\nAnswer: k**(-5\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -191*b - 332. Let o be g(-8). Find the first derivative of -2389*x - 81 + 1194*x + 101*x**2 + o*x wrt x.\nAnswer: 202*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 59*z + 416. Let c be y(-18). Let b(q) be the second derivative of 0*q**3 - 22*q + 0 + 1\/6*q**4 + 0*q**c. Let u(g) = 73*g**2. Give b(u(j)).\nAnswer: 10658*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -42, -64, -94, -132, -178?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-5)*660\/8. Let n = 1475\/9 + y. Calculate the common denominator of (-12)\/22*(-1)\/(-1) and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 take away -518?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 160.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15 + 36*z - 8 + 16 + 14*z + 6 + 2742*z**2 wrt z?\nAnswer: 5484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10190990*y. Let u(d) = 3000*d. What is 2*i(s) - 6795*u(s)?\nAnswer: -3020*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:15 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(2\/7))\/c)\/c)**(-1\/5)*c*c**3\/c*c**(-2))\/((((c*c**(1\/10))\/c*c*c)\/(c*c**(2\/9)))\/(c**0)**34) assuming c is positive.\nAnswer: c**(239\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -j - 52 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 78527772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from unnvnniyyviyyv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006963012 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(sqrt(405) + -1)**2 + (-2*sqrt(405)*1 + 2*(sqrt(405)*1 + sqrt(405)))**2.\nAnswer: -4 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42826\/15295)\/(98*4\/16).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 6772*m**2 - 294810*m + 288036.\nAnswer: 2*(m - 42)*(m - 1)*(m + 3429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8450894nm to meters.\nAnswer: 0.0000000008450894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/3 of a hour in minutes?\nAnswer: 1220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 16*l**2 - 15*l - 14. Let h be c(17). Solve -a - 6 = d, -5*a = 2*d - 7*d + h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1578, -1565, -1552, -1539?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*k = 0. Suppose k - 12 = -4*t. Let g(c) = -c + 2. Let w be g(2). Put 2, t, w in ascending order.\nAnswer: w, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1076 and (-77)\/(-2)*1\/(-4)?\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 9*j + 2. Let l be m(-9). Suppose -5*f = -0*k - 5*k - 15, 2*k = 4*f - 22. Suppose 26*b - 24*b = f. Sort b, l, -4, 10 in increasing order.\nAnswer: -4, l, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -653\/9, -3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t - 12. Determine w(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*-1*(sqrt(448)*2 - sqrt(448))*3)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-17 - -9 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28\/33 (b) 4 (c) 0.2 (d) -5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 730 + 194. Let v = f + 211. Let j = v - -192. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 334924, 334923, 334922, 334921?\n\"Answer: -y + 334925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023586623 to four decimal places.\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197 + -217. What are the prime factors of -5 - 5\/(-2)*(-1992)\/y?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 580 and 12905.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 864470.81 rounded to the nearest 100?\nAnswer: 864500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4654a (base 13) to base 11\nAnswer: -88467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -31 + (-86 - (32 + -112)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9*f = -c, 4*f + 3*c = 0. Solve f = -2*w + w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -2) + 4 + 0. Which is the nearest to m? (a) 1\/7 (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.004, -24, 0.1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*v - 3379419 - 16816621 = -106628. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 19 = -3*w, -3*l + 2*w + w + 6 = 0. Solve l*b + 4 - 19 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2569218 and 65\/1574682?\nAnswer: 48815142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2596860 is divided by 6817.\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Let k(f) = -f**c + f**2 + 0*f**2 - f**2. Let o(j) = -j**2 + j**2 - j**2. Give o(k(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -1\/6*x**4 + 0*x + 0 - 1\/2*x**3 + 2*x**2. Differentiate z(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3461?\nAnswer: 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -183*k**3 + 87*k**3 + 2*k**2 + 90*k**3 - 4*k as q + p*k**2 + d*k**3 + t*k and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0 + 21*r + 5\/4*r**2 + 1\/24*r**4 + 1\/2*r**3. Factor n(w).\nAnswer: (w + 1)*(w + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**11\/9240 - p**7\/420 - p**4\/3 + 6*p. Let n(a) be the third derivative of j(a). Find the third derivative of n(v) wrt v.\nAnswer: 720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {k: 2, f: 9, p: 1, x: 1}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**6\/600 - 17*w**5\/100 + 289*w**4\/40 - 79*w**3\/3 - 2*w**2 - 64. Let g(y) be the first derivative of p(y). Factor g(c).\nAnswer: 3*(c - 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -15*x. Let y(m) be the second derivative of m**4\/6 + 381*m. Determine y(q(f)).\nAnswer: 450*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2191207359 plus 0.4?\nAnswer: -2191207358.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20001 - -10?\nAnswer: 20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16406743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*h - 281*h - 30 = 0. Let t(a) = 11*a**3 + 13*a**2 - 16*a + 21. List the prime factors of t(h).\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.58, -3, -4, -2\/13, -327.\nAnswer: -327, -4, -3, -2\/13, 0.58, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2912)\/(-52)*(-228)\/(-28) is divided by 145.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**7\/210 + 3*z**5\/20 + 7*z**4\/12 - 10*z**2. Let y(o) be the second derivative of h(o). What is the derivative of y(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 6 - 29 + 9)*(-5 + 0 + 4)*(-1 + 0 + 2).\nAnswer: 3*f + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145231 (base 6) to base 11.\nAnswer: a687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, r: 7, i: 2, e: 2, a: 4}. What is prob of picking 1 e, 1 r, and 1 a?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 172231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38380 - 12632. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 48*w**3 + w**2 - w - 1. Let q be c(-1). Let o = -7 - q. Calculate the highest common divisor of 20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*i**4 + 0)*(-4*i + i + i) + 36*i + 2*i**5 - 5*i**3 - 36*i.\nAnswer: -2*i**5 - 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-j + j + 2*j**5) - 2*j**5 + 0*j**5 - 7*j**5.\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 1*sqrt(325)*5 - sqrt(325)) + 2 + 0.\nAnswer: 2 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43 - -5?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 92?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/(15\/40 + 5\/((-21000)\/1611)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 21. Let t = -11 - b. Suppose 4*p + t*v - 42 = 5*v, -5*p = -2*v - 52. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -393.01 + 395. Let g = k + -0.5. Round g to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5\/2 + 468258*q**4 - 10301943*q**3\/2 + 14984742*q**2 - 13111686*q = 0 for q.\nAnswer: -312183, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 51*x**3 - 21 + 1 + 7 - 46. Let v(r) = -3*r. Determine z(v(c)).\nAnswer: 1377*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 - 113387*n**2 - 7 + 48*n**3 + 113389*n**2 + 9 to the form w*n + x + v*n**4 + u*n**3 + g*n**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (3 - (7 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24.86 and -0.1.\nAnswer: 24.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1.13 (b) -4 (c) -0.6 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -640 + 640 + 1886*q**2 - 678*q**4 + 1072*q**2 wrt q?\nAnswer: -16272*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - s**2 + 0*s + (s + 3*s - 6*s)*(-4*s + 6*s + 0*s) + (2*s - 3*s + 4*s)*(16*s + 554*s + 478*s).\nAnswer: 3139*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 18*q - 3. Suppose -2*p + 24 = -2*f, -2*p + 0*p - 2*f = -44. What is the remainder when w(2) is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + r - r + 2*r**4 + 8 wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434744.\nAnswer: 2, 31, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -566 * -0.3.\nAnswer: 169.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3715647*l**2 + 5998*l + 194.\nAnswer: 7431294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1251431?\nAnswer: -3\/1251431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 6*b**2 + 7*b - 7. Let m be f(5). Factor -w**3 - 3*w**m + 2*w**3 - 12*w**2 - 7*w**3 - 4*w.\nAnswer: -w*(3*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018192 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001245 rounded to 7 decimal places?\nAnswer: 0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10507 or 10510?\nAnswer: 10510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000058805 to 6 dps.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 4*m - 3*m + 442*m**3 - 446*m**3 + 2*m**2 to t*m**3 + v*m + o*m**2 + h and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = g, -g = 4*n + 8 + 3. What is the biggest value in 18, 5, n?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*n + 728, 5*n + 3*j - 1841 = 6*j. List the prime factors of n.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-1*-2)\/(sqrt(144)\/sqrt(3) - sqrt(12)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 60 - 36. Which is the closest to 0? (a) 0.1 (b) j (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 293238 divided by 2\nAnswer: 146619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 + 268*p**3 + 1020*p**2 + 756*p.\nAnswer: 4*p*(p + 1)*(p + 3)*(p + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551925 is divided by 1460?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2*g - 4)*(-4*g + 6*g + 4*g).\nAnswer: -12*g**2 - 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -108*t. Let z(h) be the second derivative of -h**6\/720 + h**4\/12 + h**3\/3 + 10*h. Let i(j) be the third derivative of z(j). Give i(d(b)).\nAnswer: 108*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7296041810 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -416217353?\nAnswer: -416217354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -0.2, 3 in increasing order.\nAnswer: -0.2, 3, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*u + 185948 = 3*g, -2*g - 2*u = -123982. Let b = g + -4886. What is b rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -5913076557.\nAnswer: -5913076559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56014 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27748 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 8*s - 7. Let c be a(-4). Let w = c - 34. Put w, -3, -1, 5 in decreasing order.\nAnswer: 5, -1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 2. Give y(38).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.3 - 29.8. What is the second smallest value in -1\/2, s, -0.2, -6\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 536676?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-4 + 2) - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -6. Let q be (1\/f)\/((-4)\/(-32)). Suppose 5 = q*l - 31. Round l to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 3 (c) 1910\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3502622881 to the power of 1\/3, to the nearest integer?\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -26, 6, 36, 64?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*z = 18, 3*a - 7 - 5 = -z. Sort -1, 12, a.\nAnswer: -1, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 3\/5, -74, -5.2, -1.\nAnswer: -74, -5.2, -1, -3\/4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3552 + -1006?\nAnswer: -4561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + sqrt(1216) + -4)**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 96 = -10*v. Let d(f) = 2*f**3 - 2*f**2 + 3*f. What is the lowest common multiple of (-32)\/v*9\/(-2) and d(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -91, -288, -657, -1252, -2127?\n\"Answer: -9*n**3 - 5*n**2 - n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556555?\nAnswer: 5, 79, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -n + 36. Calculate the highest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497940 to the power of 1\/2, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 568 = 7*y - 3*t, -3*t = 0. Suppose -3*h + 0*h + y = -2*i, -4*i = -8. Calculate the highest common factor of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 + 76?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 4, 3, 2 in descending order.\nAnswer: 4, 3, 2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((5 + -2)\/(-9)). Suppose 1 + 7 = -4*j + 3*f, y*j - 7 = -f. Put -2, j, 3 in descending order.\nAnswer: 3, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 + -2. Let l = 382.28 - -2.72. Let i = l - 384. Which is the third smallest value? (a) 1\/3 (b) i (c) k (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -4*k + 6. Let g = k + 13. Suppose 10 = -t - t - g*o, -12 = 3*o. Put -3, t, -1 in decreasing order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 527, 1372, 3661, 8114, 15451, 26392?\n\"Answer: 120*c**3 + 2*c**2 - c + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64127.\nAnswer: 7, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/84*0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -4, -2.7, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(18)\/sqrt(18)))\/((sqrt(84) + sqrt(84) + 4*1*sqrt(84))\/sqrt(7)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, t: 4}. What is prob of picking 2 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.771 (b) 0.1 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 + 0 - 1 + 8*g**3 + 1 + 476203*g**2 - 476203*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 7 - 21*a**2 + 10*a**2 - 1 + 8*a**2 + 8*a**2. Does 5 divide k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*a + 408, 6*u - 90 = 5*u + 5*a. What is the remainder when u is divided by 87?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, d: 4, x: 1, u: 5}. Give prob of picking 1 u and 1 x.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3275 and 19519.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 - -128. What is the closest to 1\/2 in 3, g, -14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4403 is divided by 232?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5789110 to the nearest integer?\nAnswer: 2406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -849423, -1698835, -2548245, -3397653, -4247059?\nAnswer: -5096463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 1916*d**3 + 11 - 12451*d**3.\nAnswer: -14367*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96051741?\nAnswer: 3, 29, 37, 53, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 - 69011*p\/5 - 4006002\/5.\nAnswer: (p - 69069)*(p + 58)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 413.0951 litres?\nAnswer: 413095.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7 + 88*p**2 + 8 - 74*p**2 - 4. What is the units digit of r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/2))\/(h\/h**(1\/2))*((h**(-1)*h*h)\/h)**(1\/5) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5410, -15741, -32966, -57091, -88122?\n\"Answer: -j**3 - 3441*j**2 - j - 1967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -87*g**3 - 437*g**2 + 512*g + 12 = 0. Calculate g.\nAnswer: -6, -2\/87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -357079 (base 14) to base 11\nAnswer: -1037060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 14*i + 28. Let y(n) = 42*n + 82. Let b(z) = 8*h(z) - 3*y(z). Let j(l) = -5*l - 8. Let s(w) = -4*b(w) + 11*j(w). Let v(p) = 49*p. What is v(s(m))?\nAnswer: 49*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and 11129?\nAnswer: 1224.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = t, -t + 2*t + 3*j = 9. Suppose 0 = -0*p + 6*p - t. Let b be ((-2)\/(-1))\/(4\/p). Solve 0 = 2*c + b - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*i + i. Let z = -7 + i. Let b = z - -3. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 97405082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/(4\/(-120)). Solve -p = -3*p + m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139949*n**3 - 70150*n**3 - 69957*n**3.\nAnswer: -158*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 16 - 56. Suppose 0 = 4*x - 3*l - u, -l - 1 = -2*x + x. Let j(y) = -27*y**2 - 11*y. Let o be j(x). Round o to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5140 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/(-62)*(-3)\/((-27)\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -339.3782 rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**7\/840 + y**6\/80 - y**4\/12 + 5*y**2. Let c(n) be the second derivative of b(n). Factor c(d).\nAnswer: 3*d*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561688289.\nAnswer: 409, 1373321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 226699 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259045 is divided by 228?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 1 (c) -51\/16 (d) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 29 = -5. Let k(n) = -3*n**3 - 2*n**2 - 4*n - 4. List the prime factors of k(f).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -198, -225, -226, -189, -102, 47, 270, 579?\n\"Answer: 2*x**3 + x**2 - 44*x - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 1, s: 3, q: 5, z: 1, r: 2}. Give prob of sequence rze.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19276*l + 8915*l - 41762*l.\nAnswer: -52123*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171 by -12.\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 + 6612*r**4 - 153820*r**3 + 624140*r**2 + 1118616*r - 1595552 = 0.\nAnswer: -1676, -2, 1, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 1495.\nAnswer: 14950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47052 - -95351. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:06 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -2*f + 7*f. Suppose 2*o + 9 + 13 = 0. Let x = f + o. What is the remainder when 27 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k. Let h be z(1). Let a be (6\/(-8) - -1)*8. Let o(n) = h - n**2 - 3*n - 10 - 3*n**a + 2*n**2. Calculate o(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 722, 1501, 2582, 3959, 5626?\nAnswer: 7577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960089 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*f - 14 = 2*r, 2*r + 4*f - 2 = 0. Let n = 0.6 + -0.2. Which is the nearest to 2? (a) 1 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80511 or 436?\nAnswer: 436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 13. Suppose -u = -3*h - 19, 5*u + a*h - 77 = 2*h. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -301*w + 42*w**2 + 301*w + (-w**2 + 0*w**2 + 2*w**2)*(0 - 2 - 2) + 4*w**2 - 4*w**2 + 3*w**2 as g*w**2 + a + k*w and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 421864848 and 2592?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*k*m**3*r**2 + 248*k*r**3 + 6*m**3 - 2*m**2*r**3 + 101*m**2 - 2 wrt k.\nAnswer: 11*m**3*r**2 + 248*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**3 - 2*q**2 + 2*q - 1. Suppose r = -r + 2. Let a be u(r). Suppose a*n = -0*n + 10. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -17*v**3 + 9*v**2 - 391*v - 133. Let a(c) = -14*c**3 + 8*c**2 - 391*c - 114. Calculate -7*a(s) + 6*p(s).\nAnswer: -4*s**3 - 2*s**2 + 391*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*d = 61*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482\/(-2717) - 172\/(-154)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43020114 (base 5) in base 7?\nAnswer: 3031325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210221221 (base 3) to base 14.\nAnswer: -16275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/11))\/(j**(-8)\/j)*(j\/j**(-1))**(-45) assuming j is positive.\nAnswer: j**(-876\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.216961 to four dps.\nAnswer: 1.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3 + 1.2. Let q = 5 - n. Let i be 13\/52*(-2 + 1). What is the closest to i in 2\/15, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*c**2 + 83*c**2 + 0 - 2 + c**3 + 1 + 10*c**2 to the form y*c**3 + o*c + v*c**2 + x and give v.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 49*q**2 + 123*q + 2478. Give d(45).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niinkddjdjdjddniidn. What is prob of picking 2 n and 2 i?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 10*d + 40 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 224*p - 206*p + 151*p + p**3 - 1 as s*p + q + o*p**3 + w*p**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5545 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6441751 grams to milligrams.\nAnswer: 644.1751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 42514*c**2 - 52066*c**2 + 6 - 3 - 3 - c**2 + 0*c + 0*c + (4*c - 2*c - 4*c)*(-c + 0 + 0) in the form p*c + b + h*c**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 957627*f - 957627*f - 66*f**2.\nAnswer: -66*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d932 + -2?\nAnswer: -d934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*h = 91*h - 83. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1706254 is divided by 568733.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/428 and -71\/1926.\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(1 - 2) + 3411\/2. Let m = g - 1707. Suppose 60*h - 55*h**2 - m*h**4 + 20*h**3 - 45\/2 = 0. What is h?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15181021 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2788 = -696*v + 532*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, v: 11, c: 4}. Give prob of picking 1 l, 1 v, and 1 c.\nAnswer: 176\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8192.84 days in microseconds?\nAnswer: 707861376000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**3\/6 - 5*c**2\/2 - 36*c. Give t(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = 4443 - 47402. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*a - a + 48, 4*a - 8 = 0. Which is bigger: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 - 13. Let f = -162.12 - q. Let j = f + 5.1. What is the closest to -2 in j, 4\/5, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0*u**4 + 0 + 0*u**2 + 3\/20*u**5 - 1\/2*u**3 - 9*u. Let m(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 238*s**2 - 4*s - 3. Let r be a(4). Suppose 0 = -3*c + 2*c - 2432. Let x = r + c. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14504 + -0.66606?\nAnswer: 14503.33394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5312600 to the nearest ten thousand.\nAnswer: 5310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from {y: 4, g: 2, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyya when four letters picked without replacement from {y: 3, o: 3, a: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1496\/(-1071) + (-2)\/(-7))\/(16\/(-72)). Solve 4 = -3*l + 9*k - 11*k, 0 = -b*l + 2*k + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let w(n) = 23851*n. Determine w(r(p)).\nAnswer: -47702*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4651 - -4759. Calculate the highest common divisor of 1476 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -85. Suppose m*u + 92 = 2*z, -4*z = -4*u - 253 + 73. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in 1\/2, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 344 - 344. Put p, 2, 20 in descending order.\nAnswer: 20, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22282, -22448, -22758, -23212, -23810, -24552?\n\"Answer: -72*d**2 + 50*d - 22260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 29. Let x be -6*(-3)\/h*32. Let t be (-1 + 6)\/((-5)\/(-96)). What is the greatest common factor of t and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a + 33. Let p(w) = w - 17. Give 4*h(o) + 9*p(o).\nAnswer: -3*o - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-15)*(-15)\/(-2). Suppose 3*w + 3 = 5*g, b*w = g + w + 13. Let c be (90\/(-72) + 0)*4. Put c, 1, g in increasing order.\nAnswer: c, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25854 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -17, 136, 0.1, -4, 0.3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*v - 47*v - 54*v - 50*v to the form g*v + c and give g.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5382775, -5382776, -5382777?\n\"Answer: -l - 5382774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 96 = 4*g. What is the remainder when g is divided by 1\/2 - 50\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -45591109726?\nAnswer: -45591109724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*r - 71, -r + 3*h + 7 = 2*h. Let l(g) be the second derivative of g**4\/3 - 2*g**2 + 7*g. What is the remainder when l(3) is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 1\/15*r**5 + 150*r**3 + 4*r**2 + 5*r**4 + 0*r - 5. Let z(d) = 0. Calculate d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8509 is divided by 250.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 + -0.17. Let o = n + 0.19. What is the third smallest value in o, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (64\/40)\/(-4) - 78\/5. Let w be (-8)\/b - (-38)\/4. Suppose -z + 2*f + w + 11 = 0, -z - 5*f - 14 = 0. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10518 - 10481. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/10)\/((-2)\/(-18)). Let g(k) = -5 - 8*k + i - 4. Let b(z) = z. Calculate b(g(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -5)*(-5)\/(-15). Let r(y) be the second derivative of -1\/6*y**4 + 5\/12*y**3 + y + 1\/40*y**5 + p - 1\/2*y**2. Factor r(l).\nAnswer: (l - 2)*(l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/238 and 29\/21?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 + 130. Sort 35, r, -4, 5 in ascending order.\nAnswer: -4, r, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4216 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214655 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33291 - 33296. Let v = 1.6 - 1.2. Which is the third smallest value? (a) -2.5 (b) m (c) 4\/5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -38*x**2 - 192*x + 8. What is the least common multiple of 48 and z(-5)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14 - 2*m + 13*m - 12*m. Let g be z(-13). Which is the nearest to -2? (a) g (b) 0.4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7140 by 510.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47565 or -47564?\nAnswer: -47564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-531)\/6*10\/(-15) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-6))\/((-30)\/5)*6)\/(66\/8)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13337, 0.03, 0, 1\/8, 3\/8 in decreasing order.\nAnswer: 3\/8, 1\/8, 0.03, 0, -13337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/9 - 298*v**2\/3 - 1568*v - 56192\/9.\nAnswer: -(v + 8)**2*(v + 878)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10) - (-44)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a century in months?\nAnswer: 46200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11*c - 2. Let j be r(-1). Let v(w) = -1 + 0 - j + w. Suppose 49 = -6*g + 13*g. Give v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b - -8?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.75 + -38.25. Let a = x + 38. Let n = a + -1.2. Is -5 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 6 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/8)\/j)\/j**(-4)*(j**(-1)\/j)**(3\/40) assuming j is positive.\nAnswer: j**(99\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-2 + 3 + 3)*(-4*d**3 - d**4 + 4*d**3).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/28*(1 - -7). Is l != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-588)\/637 - 3157\/143?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 164 - 576*s - 663*s**2 - 1357*s**3 + 2151*s**3 - 1048*s**3.\nAnswer: -(s + 1)**2*(s + 82)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -80, 13.\nAnswer: -80, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w - 46*w - 2*w + 10*w - 22*w**2.\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 378, 840, 1486?\nAnswer: 2316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 0*r**4 - r**3 - 26 - 2*r + 7 + r**4 to the form g*r + p*r**2 + q + i*r**4 + t*r**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*x = -18, -l + x + 0 = 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8323\/5112 + 2\/639. Let z be ((-38)\/(-12))\/((-12)\/(-99)). Let o = z + p. What is the common denominator of -103\/14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 28. Find t, given that -3*t**2 - l + 15*t**3 + 13 - 18*t**3 + 3*t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 744, -29\/2?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 2*k**3 + 4*k**2 + k. Let q = -2822 + 2827. What are the prime factors of j(q)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d2 (base 14) in base 5?\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*x + 21, 7736*x = -4*s + 7738*x - 38 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**5\/10 - y**4\/3 - 5*y**2\/2 - 3*y + 115. Let x(v) = 2*v**3 - 3*v**2 - v - 4. Give -3*g(a) + 4*x(a).\nAnswer: 2*a**3 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.08 (c) -3\/2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46447380257 - 1.133?\nAnswer: -46447380258.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*g**2 + 191 + 302*g**2 - 229*g**2 - 191.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*a**3 - a - 53*a**3 + a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16137, 129184, 436047, 1033638, 2018869, 3488652, 5539899?\nAnswer: 8269522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 35*s**2 + 1 - 9 - 34*s**2 - 5*s. Let y be f(6). List the prime factors of y + (-2 + -35)\/(-1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 173079058*d**2. Let y(o) = -o**2. Determine y(q(x)).\nAnswer: -29956360318167364*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7225080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 39*o**2 + 125*o - 6. Calculate the smallest common multiple of k(-42) and 1948.\nAnswer: 17532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -937, -3762, -8463, -15034, -23469, -33762?\n\"Answer: m**3 - 944*m**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1992 = -3*o, -o = 2*o - 9. What are the prime factors of s?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145604 is divided by 427?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/2, -3, -4, 2\/15 in ascending order.\nAnswer: -41\/2, -4, -3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {n: 4, v: 7, j: 4}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 36. Suppose 4*w - 3*q = 12 + 17, -2*w = -4*q - b. Let x(l) = l - w*l + 9*l - 2*l. Let k(j) = -11*j. Determine k(x(v)).\nAnswer: -33*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4020 + 4952*d**2 + 4948*d**2 - 14855*d**2 - 2*d + 4953*d**2 to the form f*d**2 + c*d + i and give i.\nAnswer: -4020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 141863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00677 and -0.4.\nAnswer: -0.002708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2567 + 2591. Calculate the lowest common multiple of n and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 32*a**2 - 3*a - 44. Let x be n(-32). Suppose x*o + 32 = 53*o. What is the remainder when 124 is divided by o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-62)\/(-2)*(-1 + 2) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 216 + 463466?\nAnswer: 464015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c + 17*c - 7*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 25*u + 26*u + 21 = 0, -3*u = 9. Solve 3*r - 4*g + 6*g = 1, -r + q = -5*g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + ((sqrt(48) - (sqrt(192)*-2)\/sqrt(4) - sqrt(48))\/sqrt(8))\/(-6*(sqrt(242) + sqrt(242)*-3 - sqrt(242))).\nAnswer: -3 + sqrt(3)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1426, 5583, 12522, 22243, 34746, 50031, 68098?\nAnswer: 88947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*v - 480 = 296 - 598. Solve -19*f + 3*x = -24*f - 15, 0 = -v*f + 5*x - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((21\/6)\/7)\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 262049858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89623 is divided by 2084.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -11*v**6\/120 + 4*v**3\/3 - 17*v**2. What is the derivative of n(h) wrt h?\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 7 - -17 - (-4 + -2).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u + 5. Let h(o) = -3 - 6 + 10 - 57*o. Let y be h(-1). Let p = 50 - y. Let x(f) = -14*f - 8. Calculate p*d(k) - 5*x(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 97468932 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (-4 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055638664 to five dps.\nAnswer: 0.05564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) - (-290)\/25. Calculate the greatest common divisor of 48 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001505 rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7922*m - 55448. What is b(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/7)\/((v\/v**3)\/v)*(v*v**(2\/11))\/((v\/(v*v*v**(-2\/19)\/v*v*v*v))\/v) assuming v is positive.\nAnswer: v**(11189\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**4\/11 - 240*f**3 - 876446*f**2\/11 - 3450552*f\/11 + 4329640\/11 = 0.\nAnswer: -658, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986 is divided by 466.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5)*-2 - sqrt(25)\/(sqrt(5)*-1) - (sqrt(245) + 1 + sqrt(245) - sqrt(5) - (sqrt(440)\/sqrt(8))\/sqrt(11)))**2.\nAnswer: 14*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**2 - 55*j - 11. Let q be s(-9). Is (-558)\/(-4) + (-3)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 611\/3 + -10393\/51. Put 2\/3, -3, -0.4, v, -21 in ascending order.\nAnswer: -21, -3, -0.4, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 0*i + 2*i**4 + (1612*i - 1612*i + 47 - i**2)*(-i**2 + 2*i**2 + 3*i**2).\nAnswer: -2*i**4 + 188*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1264\/18 + (6 - 336\/54)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwfimhwfimwfwhiw. Give prob of sequence iihi.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4\/7 - 2837528*h**3\/7 + 95852236320*h**2 - 7555201068643200*h + 15110018731584000.\nAnswer: 4*(h - 236460)**3*(h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 11*h + 83. What is i(-7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175939001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 282. Suppose 0*f - 215 = 5*f. Let p = f + t. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 390 + -386. Determine u, given that 95*u + 201 - n*u**3 + 5 - 80*u**2 - 38 - 3*u = 0.\nAnswer: -21, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 11*y - 2. Let z(x) = -x**2 + x + 1. Let n(f) = 4*f**2 - 3*f - 3. Let w(t) = n(t) + 3*z(t). What is r(v) - 3*w(v)?\nAnswer: -v**2 + 11*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l - l - 314 + 164. Let c(q) = q**2 + 14*q + 4. Give c(l).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(34) - sqrt(544))\/sqrt(2).\nAnswer: -3*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 832 and 872512.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2271 - -3893. Let g = d + -1047. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 120528743 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 285494+10486257\nAnswer: 10771751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*(-104)\/(-39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*a - 18 = 25*d - 21*d, -3 = -2*a + d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wawa when four letters picked without replacement from aaaaaaaaawwwaaawwa.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2. Let b(j) = 774012*j**2. Determine b(p(q)).\nAnswer: 3096048*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s**2 - 3 + 4 - 3*s**2)*(12 - 3 - 10 - 3*s) to the form n*s**3 + j*s**2 + u*s + m and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**4 + 101*o**3 + 823*o**2 wrt o?\nAnswer: 72*o + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2 - d - 5)*(-d**4 + 3*d**4 + 3*d**4).\nAnswer: -10*d**5 - 15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 26.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -471327 - -24038861\/51. Let l be 4\/6 - (-136)\/6. Let d = l - g. Which is the second biggest value? (a) -0.03 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 47*p - 371. Let t be q(-36). Suppose -j - t = -5*r - 4, 5*j - 45 = -5*r. Let h(x) = x - 1. Let n(w) = -w + 2. Calculate r*h(g) + 3*n(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 14?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359389307 - -215.\nAnswer: -359389092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 16. Let w(y) = -y**2. Determine s(w(m)).\nAnswer: 3*m**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5866, -11732, -17602, -23476, -29354, -35236?\n\"Answer: -2*u**2 - 5860*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9135948 is divided by 1522656.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*h**2 - 24*h + 24*h)*(h - h - h) to b + t*h**2 + i*h + n*h**3 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3*(sqrt(18) + sqrt(72)\/sqrt(4)) + sqrt(18) - sqrt(72)*-3)\/(sqrt(144)*-5 + (sqrt(144) - 1*sqrt(144)) + sqrt(9) + sqrt(9)))**2.\nAnswer: -161\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/((2*-1)\/4). Let d = 1460\/7 + -209. What is the nearest to 0 in -4, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126617 = 4*w - 5*o, 53*w - 48*w - o - 158308 = 0. What are the prime factors of w?\nAnswer: 31663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + 61 + -34 + -11.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 32. Suppose 198 + 447 = 43*o. Give y(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6 + 1395*w**2 - 4*w + 1072*w**2 + 433*w**2. Let s be l(6). Suppose 2*v = 382 - s. What is v rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(7) + -2*sqrt(7))*2 - (-2*sqrt(1008) + sqrt(7))).\nAnswer: -1 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3176 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o - 1. Let z be y(-2). Let a(x) = 32*x - 3. Is a(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609340.7 kilograms to milligrams.\nAnswer: 609340700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0.5, 5\/2, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 126 = 19 - 3 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 256 + -132. Let h = p + -123.8. What is the second biggest value in 3\/11, h, 1?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let r(u) = 33*u. Calculate r(s(h)).\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -34. Put 5, j, 2 in decreasing order.\nAnswer: 5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggaaagaaag. Give prob of sequence gaaa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 951259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3266 + 3955. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 5*a - 24, 2*q - q = 4*a - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -k + 5. Suppose -4*m - 124245 = -124169. Sort 4, m, k in ascending order.\nAnswer: m, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 11*r**5\/60 - r**4\/12 - r**3\/3 - r**2. Suppose -4*k = 4*u - 36, -2*k - 169*u + 165*u + 32 = 0. Determine q(k).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 183150074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127371314?\nAnswer: 2, 7, 233, 39047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 212020 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015987583 to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 15 = 3*j - 0, 5*j = -2*h + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p**3 + 48*p**2 + 194*p + 234. Let r(u) = -9*u**3 + 51*u**2 + 195*u + 233. Let o(s) = -12*r(s) + 14*z(s). Solve o(f) = 0 for f.\nAnswer: -3, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-12) + (-57)\/12. Let v be 23 + 0\/p - 1. Let j be 16939996\/v - 2\/(-11). Round j to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*w - 37235 = -38236 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/252*(2 + -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7*n)**47 assuming n is positive.\nAnswer: n**376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -135356 bigger than -135363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 359? (a) 5\/6 (b) 4\/9 (c) -5\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28d22 - 5?\nAnswer: 28d1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4840 is divided by 202.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -19 - (2 + -5)\/(-1). Let k(r) = -3*r + 3*r + 0 + 2 - r. Let m(q) = -6*q + 11. What is w*k(g) + 4*m(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (130 + -47 + -47 - (1 - -9))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8)*(-40)\/(-140)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 + -115.8. Which is the closest to 7? (a) 5 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -1. Let l = j - 0.04. Let g = l - -3.94. What is the second smallest value in -3, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 - 1. Let f = 3 - 0. Let q = f - 6. Put z, q, -1 in ascending order.\nAnswer: q, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6869 - 33*k**2 + 41*k + 81*k - 9*k**2 - 15*k with respect to k.\nAnswer: -84*k + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 = -2*d, -34 = 5*x - 0*x - 4*d. Let b = x - -10. Calculate the greatest common factor of 32 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*s - 14, 4*s - 4*o = -4 + 32. Let r = 35 - 31. Suppose r - s = f. Sort 4, 0, f in increasing order.\nAnswer: 0, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2750 + -49447\/18. Find the common denominator of c and -101\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 30144*w**2 + 2*w - 4. Let f be h(-2). Let z = f + -75568. Round z to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/5*w**2 - 9\/5*w + 3\/5*w**4 + 2\/5*w**5 - 2\/5 - w**3.\nAnswer: (w - 2)*(w + 1)**3*(2*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:19 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49043 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w**2 - 1. Suppose 5*m + 12 = m. Let g(l) = -1. Let y(c) = m*g(c) - i(c). Find the first derivative of y(b) wrt b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -98.8 and -0.1.\nAnswer: 9.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 606.561428.\nAnswer: 602.561428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 25*k**3 + 33*k**2\/2 + 24*k. List the prime factors of y(3).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 - 5*k. Let c(v) = -7*v**2 + 5*v + 1. Let w(s) = 4*c(s) + 5*l(s). What is the units digit of w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14210311 - 34214?\nAnswer: 14121042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -28. Let m = j - -7. Let z be 6\/m - 2399998\/(-4). Round z to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:57 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (1 - (-2)\/1). Let c(v) = -5*v**3 - v**2 + v + 11. Let k be c(-2). Suppose k = -8*n - n. Sort j, 1, 5, n in ascending order.\nAnswer: n, j, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 2. Let q = p - 5. Suppose c = -5*j - q*c + 51, 4*j + c - 45 = 0. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575*q - 25 - 36 + 522*q + 61.\nAnswer: -53*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/23)*d*d)\/d*d*d**(-3\/17)*d*(d*d*d**(1\/2))\/((d*d\/((d**(-12)*d)\/d))\/d) assuming d is positive.\nAnswer: d**(-5289\/782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-12))\/(2\/54). Let q = u - -18. Suppose -12 = 2*i + 5*l - q, 4*i + 4 = -5*l. Calculate the remainder when i is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169396 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((6*(sqrt(135) + 3*sqrt(135)) + sqrt(135))\/(sqrt(320)*-3))**2 + -5.\nAnswer: 1235\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**6\/40 - 25*z**3\/3 - 19. Let o(f) be the third derivative of k(f). Let v(t) = t**2 + 0*t**2 + 0*t**2. Determine v(o(d)).\nAnswer: 81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/(-144))\/(((-9)\/(-4))\/(-3)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(612)*-1 - sqrt(612) - sqrt(612)) + 1)*-3 + 4)*-6*4.\nAnswer: -1296*sqrt(17) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -120?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 23*v + 34. What is the tens digit of a(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 38*b**2 + 129*b - 1475. Calculate j(41).\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 297\/1485*(66\/32)\/((-4)\/(-80))?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -10746?\nAnswer: 10753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 52. Let z be b + 0 - (-4 + 5). Solve 2*r + 0*r = z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3*25\/110*55?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 26. Let l = -71617229.3 - -71617201.29999954. Let j = l - k. Round j to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1 = 2*q. Let v(g) = -40*g**2 + 207*g - 35. Let i be v(5). Which is the third smallest value? (a) -0.09 (b) 1\/9 (c) q (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 48667*z - 243309. Determine r(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(225\/(-10))*30\/(-10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 52 (c) 300 (d) -1\/2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23205451000 + -5?\nAnswer: 23205450551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -174\nAnswer: -5\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104505749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 6:23 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 - 30. Calculate the lowest common multiple of y and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.431 + 0.401. What is the nearest to -5 in 1, 0.4, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119459.9 take away -3.346?\nAnswer: -119456.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -13 + 17 + 2*z - z. Let u be p(5). Let f(m) = m**3 + 7*m**2 + 7*m + 9. Let w be f(-6). Solve -w*j = -0*j + u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k + 30. Let l be f(-7). Is l greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-146)\/730)\/(2\/(-4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q**3 + 7*q**2 - 17*q + 23. Let o(i) = 5*i**3 + 4*i**2 - 9*i + 13. Let g(c) = -6*b(c) + 11*o(c). Determine g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 356857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 264 = -5*i, 0 = -3*q - i + 53 + 43. Solve -19*f = -q*f - 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2141745.9 microseconds in minutes?\nAnswer: 0.035695765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 331607119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 842.0706nm?\nAnswer: 0.8420706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 1575. Let t(g) = g - 805. What is 3*p(w) + 5*t(w)?\nAnswer: 2*w + 700","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - z**3 - z**3)*(3*z - 4*z + 2*z) + (z + 2*z**2 - z)*(-5*z**2 + z**2 + 5*z**2).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -608103 less than 0.09?\nAnswer: 608103.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 13) to base 4.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 22. Let r = j - 30. What is the fourth smallest value in 2, -5, -1\/3, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/21 (b) 5 (c) -7 (d) 0.3 (e) 192 (f) 41 (g) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.076 and 0.0681.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/8 + 1167*k\/8 - 177959\/4.\nAnswer: (k - 251)*(k + 1418)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 28*g - 162 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -71*c + 2025. Let g be u(28). Solve -5*b + g = 52 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2. Let c(p) = p**2 - 3*p - 3. Let b(m) = -m - 1. Let f(i) = -3*b(i) + c(i). Let o(l) = 3*f(l) + 5*r(l). Let k(g) = 2*g**2. Determine o(k(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5\/3 + 88*g**4\/3 - 296*g**3\/3 - 4928*g**2 - 18816*g = 0. Calculate g.\nAnswer: -6, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 - 39 - (-4 + 3 + 0 - -3)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -502 or -740?\nAnswer: -502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/600 and -73\/48.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-9 + 7 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 2:26 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13295, -26593, -39891, -53189?\n\"Answer: -13298*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60858573*i**3 + 183835*i**2 + 971.\nAnswer: 365151438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 106 = -22. Suppose -118 = -12*y + u. What is y rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.0726717 - 0.1273863. Let q = 9.5 + -6.3. Let s = q + f. What is s rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 7. Let g(y) = y - 9. Let a(p) = 4*g(p) + 5*u(p). Calculate a(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (4 - 5)) + 0 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -374, -369, -350, -311, -246, -149?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/5, 2\/1026085, -3, 1, -0.3?\nAnswer: 2\/1026085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11\/3))**17 assuming h is positive.\nAnswer: h**(-187\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o - 52. Find the common denominator of -40\/9 and (4\/6)\/(o\/(-23)).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/10*4275\/684. Suppose 3*g + 689 = 5*m + 30, 0 = -2*m - 4*g + 248. Calculate the greatest common divisor of m and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/60 - j**4\/8 + j**3\/2 + 11*j**2. Does 21 divide o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(77)*-5)\/(sqrt(539) - (3*(sqrt(539) + -2*sqrt(539)) - sqrt(539))).\nAnswer: 4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1428*v + 47. Let w = -19 - -21. Is p(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-33) + 14 + -15. Which is the second smallest value? (a) k (b) 51 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3 + 15 = 0. Suppose 9 = 3*b - 5*q, 9*b - 15 = 6*b + p*q. Calculate the remainder when 15 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -90, -145, -206?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 5. Let d be s(4). Let m be 4\/16 + 7\/4. Let j = m + d. Solve i = 1 - j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4*o**(-5)*o**6\/(o*o**(2\/5)) assuming o is positive.\nAnswer: o**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72984017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19188 is divided by 36.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (796*f**2 + 785*f**2 + 155*f - 1586*f**2)*(2*f + 0 + 0) in the form j*f**3 + x*f + s + l*f**2 and give l.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 1:32 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 671557.1 grams?\nAnswer: 671557100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20981599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2. Let a(u) = 29*u - 26. Let d(v) = 30*v - 22. Let y(o) = 5*a(o) - 6*d(o). Determine y(z(x)).\nAnswer: 105*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1092, -2191, -3306, -4437, -5584?\nAnswer: -6747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1037.000000551 - -1037. What is l rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.842 + -26532363?\nAnswer: -26532356.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from tttttxtttxxt?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (-15)\/(-9))*3. Suppose q*s - 15 = -s. Is (-6)\/(-15) + 73\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3677258mg to kilograms.\nAnswer: 0.0000003677258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 7*q. Let t be (-4)\/(-4)*-2 - -5. Suppose t*o + 3*z - 28 = 4*z, 0 = o + z - 8. Solve 4*h - 3 - o = q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4937.2 days?\nAnswer: 426574080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 21. Suppose -6 = -y*q - 0. Let x(j) = 2*j**2 - 2*j + 3. Calculate x(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.2872 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**5 - 1446*j**4 - 28020*j**3 - 138600*j**2.\nAnswer: -3*j**2*(j + 10)**2*(j + 462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 17\/60*p**6 - 127\/60*p**5 + 6*p**2 + 0 + 0*p**3 + 0*p**4 + 22*p. What is the third derivative of b(z) wrt z?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1274282898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y**2 - 1592*y + 26840. What is l(21)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 756 and 756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/25844 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243 - 7*j + 6*j - 53*j**4 - 406*j**4 + 3*j**3 - 245 to the form k*j**2 + n*j**3 + a*j + i*j**4 + r and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2904) - (sqrt(864) - -1*sqrt(864)))\/((-1*(sqrt(72) + sqrt(8)) - sqrt(8)) + sqrt(392)*2).\nAnswer: 10*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24167.1 and -1081?\nAnswer: 26124635.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**2 + 211*i - 142 = 0.\nAnswer: -71, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2541)*2 + sqrt(84)*5)\/(-1*(sqrt(448) - (sqrt(448) - (2*sqrt(448) - sqrt(448))))*-5).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447597309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68))**2*-2.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1384\/4795 - 2\/685. Factor -x*i**5 + 2\/7*i**3 - 2\/7*i**2 + 0 + 2\/7*i**4 + 0*i.\nAnswer: -2*i**2*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3 + (0 + 1 - 2)*(-3 - 4 + 4))*(3 + 3*n**3 - 3).\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -147*a + 11*a**2 + 147*a + 4*a**2 - 4 + 0 - 5*a**2 + (3*a - 5*a + 0*a)*(-3*a - 4 + 4)*(1 + 2 - 2).\nAnswer: 16*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2346*m - 1146*m - 1170*m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 - (-1 - 2\/(-1)). Let m = -7 + n. Solve s = m*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxu when three letters picked without replacement from {u: 10, x: 9}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}