diff --git "a/data/dm_maths/full_data_2/1696_11255.jsonl" "b/data/dm_maths/full_data_2/1696_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1696_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 16, what is -3a - -5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104\/3 or -38\/975?\nAnswer: 104\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 117\/2 + 1\/2*b**2 - 49\/4*b.\nAnswer: (b - 18)*(2*b - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4800*v. Let c(w) = -3*w**2. Calculate c(k(x)).\nAnswer: -69120000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 + 29*j**2 + 287*j - 2196. Determine y(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by -28\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 9) to base 4.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 316*m**4 - 7*m**3 - 7*m**2 - 5692. Let o(a) = -315*a**4 + 6*a**3 + 6*a**2 + 5692. Let j(u) = 7*o(u) + 6*z(u). What is the derivative of j(t) wrt t?\nAnswer: -1236*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (204\/(-510)*(-25)\/(-30))\/((-3)\/((-9)\/226))\nAnswer: -1\/226","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 1. Let m(j) = -8. Let p(x) = -5*f(x) + m(x). Calculate p(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -19*1 - (0 + 1). Find the common denominator of 197\/12 + 80\/(-10)*1 and 0 + (-98)\/k + -2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 301*s - 0*s + 490*s + 503*s + 25880 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -68, 1, -6 in decreasing order.\nAnswer: 1, -1, -6, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-5\/2)\/p)**(1\/38))**43)**(27\/5) assuming p is positive.\nAnswer: p**(-8127\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48780504 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1139\/9 - -127. Put 1, l, -7 in ascending order.\nAnswer: -7, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 - 40 = 0. Let c(d) be the third derivative of -7*d**4\/8 - d**3\/6 + d**2. Let k be c(-5). Calculate the greatest common factor of g and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**3\/6 + v**2 + 5*v - 3. Let b(g) = -3*g - 7. Let l(r) = 2*b(r) + 7*w(r). Let c(z) = z + 19. Calculate l(c(j)).\nAnswer: j + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 2:06 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -210?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16e + 5?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -72.72 - -52\nAnswer: -20.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70641400*v**4 + 60741176?\nAnswer: 282565600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 + -55. Suppose 5*c + r = 4, -c - 5*r - 8 = -4*c. Suppose 4*h + 115 = 5*x, -x - 3*h = -c - 3. What is the remainder when b is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -46 + 6\/85*p**5 - 86\/17*p**4 + 13718\/17*p + 2204\/17*p**3 - 21660\/17*p**2. Factor j(s).\nAnswer: 2*(s - 19)**3*(3*s - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z + 2*z + 0*z. Let m be w(-1). Suppose -m*y + n + 38 = 0, -5*n + 4*n + 28 = 3*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 1694071 - 1694071.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 48*y**2 + 666. Let z(h) = 3*h**2. Give p(z(o)).\nAnswer: 432*o**4 + 666","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, 1\/6, -0.176, 0.05?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 716 - -3?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-63 - -43) - (-2 + 32)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202019 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10298*f - 10298*f + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzb when three letters picked without replacement from orzrzbh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/84)\/(28\/42)*(-4)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (49 + m**2 - 49)*(-4*m - 24*m + m**2 + 6*m) in the form q + i*m**3 + y*m + v*m**2 + l*m**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*f - 343 - 28 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3636 or 3615?\nAnswer: 3636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 6. Let f be x(-3). Suppose 7*b - 2*b = f. Suppose -4*d = 3*u + 2*u - 76, 2*u - 8 = b. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2167 and 6.16.\nAnswer: -13348.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8 and 389783786493.\nAnswer: 389783786492.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39181916 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 95*w - 2*w**4 + 3*w**2 - 112*w - 2*w**2 + (797*w**3 - 797*w**3 - 14*w**4 - w**4 + w**3 - w**3 + (1 - w - 1)*(2*w**3 + 3*w**3 - 3*w**3))*(0 + 1 - 2).\nAnswer: 15*w**4 + w**2 - 17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524316644.\nAnswer: 2, 83, 1013, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 561274 + -7863. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(275) + sqrt(11))*-3)**2 + ((-1 + sqrt(1331))**2 + 0 + sqrt(1331) - sqrt(1331)*-1*3) + -2.\nAnswer: 2722*sqrt(11) + 90655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**2\/u)*(u**(-3)*u)\/u)\/((u**(3\/2)\/u)\/(u*u\/(u*(u**(2\/13)\/u*u)\/u))))\/(u**(2\/19)*u*u**(-1\/8))**49 assuming u is positive.\nAnswer: u**(-98181\/1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-40)\/(-35))\/(-4))\/(24\/(-1270164)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53416984.\nAnswer: 2, 6677123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f + 12 = 4*a, 4*a + 3*f - 16 = 0. Let g = a - -9. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**4 - r**2 + 1. Let t(k) = -617*k**4 + 5*k**2 + 583*k - 5. Let o(u) = t(u) + 5*v(u). What is the second derivative of o(b) wrt b?\nAnswer: -7464*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 4932\/(-225) + 11?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -454 + 9081\/20. Let i(z) be the third derivative of 0*z + 3*z**2 + y*z**5 + 1\/12*z**4 + 0 - 1\/3*z**3 + 1\/120*z**6. Calculate i(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.8074435 rounded to zero dps?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/20*(-25)\/(-40).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 3*b - 2*b)*(-1 - 3 + 3)*(0*b - 2*b + 0*b) to the form z*b**2 + u + s*b and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-61)\/3*(-27)\/(-180). Let k = -3 - p. Calculate the common denominator of k and -65\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11416 divided by 4\nAnswer: -2854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y - 8. Let v be g(-6). Let n(k) = -k**3 + 85*k**2 + v*k**2 + 2*k - 174*k**2. Let b be (-4)\/6 + (-24)\/(-9). What is n(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241, -104, 31, 164, 295, 424?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 233*d - 3 - 129*d - 118*d - 22*d**2 to x + z*d + u*d**2 and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33878?\nAnswer: 2, 13, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 54. Calculate the remainder when 293 is divided by y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 + 21*i + 12. What is v(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169*a**3 + 6690*a**2 - 2*a wrt a?\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.3 (c) 0.04 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 132 (b) -11 (c) 443 (d) -2 (e) 0.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*u, -8*u - 25 = -3*u + 2*n. Let f be (3\/(u\/4))\/(-2). Solve -f*a = -4*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let p(q) = -q**2 - 6*q. Let v be p(5). Let y = -28 - v. Let r(d) = 31*d + y*d + 27*d - 60*d. What is r(h(i))?\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 18*o + 4. Determine d(-3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**5 - t**5 - 2*t**5 + (0*t + t + t)*(-4*t**3 + 4*t**3 + t**4) + 0*t**5 + t**5 + t**5 - 2*t**5 + 0*t**3 + 0*t**3 - 313*t**3 + 313*t**3 + 424*t**5.\nAnswer: 428*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -408348.74770165 + -13161.60226655. Let z = 421510.8 + f. Let k = z + -0.45. Round k to six decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 311 - 1237\/4. Suppose -k + 21\/4*k**3 + 1\/2*k**4 + 2*k**2 - f*k**5 + 0 = 0. Calculate k.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + -4*(1 + sqrt(612)) - (1*sqrt(612) - sqrt(612))*-5) + -2 + (-1*sqrt(612)*-6 - sqrt(612)*3*4))**2.\nAnswer: 648*sqrt(17) + 49608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/6 and 17\/(12\/1 - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 27*m**2 + 157*m - 78. What is b(19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80\/93 + 19249\/22413. Let v = p - 1439\/5061. Sort v, 8\/3, -3 in descending order.\nAnswer: 8\/3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90271544.\nAnswer: 2, 11, 227, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -14. What is the second derivative of -26*l + k*l + l**3 - 11*l wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -190*q**2 - 11*q - 177. Suppose -5*n = 7*n + 204. Let f be b(n). Round f to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161 - -225. Find the common denominator of 1 - 158\/12 - (2 + 2) and ((-12)\/r)\/(6\/182).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -2*n**3\/3 + 3. Let b(p) be the first derivative of -p**2\/2 + 37*p - 15572. Give k(b(x)).\nAnswer: -2*x**2 + 148*x - 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00275689 rounded to 5 dps?\nAnswer: 0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5\/4 (b) 0 (c) -3 (d) 1355\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 18224 - 18224 - 29*t**2. Let x(w) = 3*w**2. What is x(r(k))?\nAnswer: 2523*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323, 1064, 2307, 4058, 6323, 9108?\nAnswer: 12419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32436 by 3.\nAnswer: -10812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730 = -81*c - 65*c, -2*r + c = 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 118*c**2 - 1137*c + 769. Calculate n(-127).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 2.6. Let y be -1 + -3 + 3 + 5. What is the nearest to 1 in l, y, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 2. Let q = z + 9. Sort 0.2, 1\/11, q in decreasing order.\nAnswer: 0.2, 1\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11708 divided by 4609.\nAnswer: -11708\/4609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*s = -30, 0 = 2*z + 7*s - 4*s + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -19*b**5\/5 + 40*b**3\/3 + 39. What is the third derivative of p(u) wrt u?\nAnswer: -456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - g - 27. What is t(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6, 1 in increasing order.\nAnswer: -6, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + ((-2)\/(-10))\/(4\/20). What is the closest to 0.1 in i, -0.081, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 - 92. Let n = g - -211. Calculate the remainder when n is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-213 + 213 + 35*w)*(-9 + 2 - 7) + 0*w - 3*w + 2*w)*(-2*w - 2*w + 2*w) as l + r*w**2 + s*w and give r.\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131186221 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 156. Let f(d) = -177*d. What is u(f(h))?\nAnswer: 177*h - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from vxmmmmvallagxxal.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283 + 268 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 7*b**2 + 7*b - 6. Let n = 6 + 0. Let t be g(n). Suppose -3*i = -12, -3*k + 5*i - 11 - 6 = t. Is k at least -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178 + 24 - 111)*(-2 + 2 + 8*p).\nAnswer: -2120*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43664 divided by 3.\nAnswer: -43664\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*b, 0 = -t + 5*b + 6 + 12. Let z(c) = 21*c**2 - t - 8 - 19*c**2 - 28*c. What is the tens digit of z(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514561?\nAnswer: 514561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64887 and 46886139?\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4066771, 4065183, 4062529, 4058803, 4053999?\n\"Answer: -v**3 - 527*v**2 + 4067299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:50 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*r**3 + 23*r**3 + r**2 + 4*r**2 + 6*r**4 wrt r.\nAnswer: 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1 + sqrt(704))*1)**2.\nAnswer: -3525 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371123659 to the power of 1\/2, to the nearest integer?\nAnswer: 37029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 6. Let a = p - 9. Suppose 8*o - 90 = a*o. What is the remainder when 35 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/x)**(-2\/11)\/(x**(-2\/11)*x**1) assuming x is positive.\nAnswer: x**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*35\/448)\/((-1)\/(-4))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 5*i**2 - 14*i - 5. Let g be f(-7). Let u(y) = 2*y - 11. Let b(p) = -3*p + 17. Calculate g*b(k) - 8*u(k).\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 4*t - 8 = 0. Let c be 158\/(2 - (2 - t)). Round c to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -1.21 (c) -0.1 (d) -0.372 (e) 1\/5 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1271250063 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -3)*(-1 + (-1329)\/(-1323)). Let j = z - -250\/441. What is the fourth biggest value in -1, -4, -2, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -0.3. Let l = p + -0.9. Suppose 4*w + 1 = 3*w. What is the closest to -1\/2 in 1\/3, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33595161 from -685.\nAnswer: 33594476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658871?\nAnswer: 658871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5625843\/125034 + (-12 - 33)?\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2477 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*b**3*j*y - 4*b**3*j - 68*b**3*y + b*j*y + 24*b*j + 2*b + y + 4 wrt b.\nAnswer: 84*b*j*y - 24*b*j - 408*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 2)\/(-4)*2. Let v = 11 - r. Let w = 12 - v. Solve 2*k + w*k = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -26969*d + 80910. Determine m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-1 - 9\/(-3)). Suppose 0 = -n*i + 2 - 50. List the prime factors of (-2 - (-27)\/i)*-4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82125225 divided by 2865?\nAnswer: 28665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7)*5544\/39600?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4*a + a)*(283*a - 284*a**3 - 283*a).\nAnswer: 568*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022579079 rounded to 5 decimal places?\nAnswer: -0.00226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 10, -621739, -6.\nAnswer: -621739, -6, -5, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103978 and 490?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37593, 149984, 337297, 599532?\n\"Answer: 37461*i**2 + 8*i + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27250651*o**3*s**2*u**2 - 40*o**3*s*u**2 - 7*o**3*u - 170*o**3 + 2*o**2*s*u + o*s*u + 4*u**2 wrt s?\nAnswer: -54501302*o**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -503.3115 times 0.1?\nAnswer: -50.33115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 31*v - 33*v. Suppose 2*d - 5 = v. Suppose -d*o + 9 = 3. Calculate the remainder when 6 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21576 divided by -12?\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 4. Let g = -78 - -72. Let f be n(g). Suppose -9 = 5*y + f*p, -p = y + 3*p - 9. Which is the biggest value? (a) 2 (b) y (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1930*l**2 - 22*l + 52. Let o be p(2). What is the highest common factor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 80 = 3*i. Let p = i + 10. Suppose 2*y = -p*y - y. Is -0.43 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/11)\/((736\/(-644))\/((-44)\/14)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22601397 is divided by 3336?\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -249, -556, -985, -1536, -2209?\nAnswer: -3004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -73378.019?\nAnswer: 73378.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdlwmlq. What is prob of sequence qwd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.15 - 0.59. Let b = -138.74 - n. Let a = b + 136.999376. What is a rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmsmsssssssssmsss. Give prob of sequence ss.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1030498*c - 66982364. Give y(65).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/16*76\/57*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/6 + 26*r**3\/3 - 569*r**2\/6 + 259*r\/3.\nAnswer: -r*(r - 37)*(r - 14)*(r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2727067 (base 12) to base 3.\nAnswer: -112121121220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 12*u - m - 2, -4*m - 6*m + 15*m - 25 = 104*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 8097360?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -24343422120?\nAnswer: -24343422113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 3. Let x be k(0). Suppose -y + 9 = 2*p, -x*y = y + 12. Let n(r) = -r**3 - 2*r - 2. Calculate the lowest common multiple of p and n(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3269383 or 3269135?\nAnswer: 3269383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-25))\/o*o\/(o*(o**(-3)*o)\/o*o))**(-2\/11) assuming o is positive.\nAnswer: o**(46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.885934l?\nAnswer: 1885.934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 20*t**2 + 36*t - 14. Let k be r(-22). Let o be 2\/3 - 28\/6. Let d be (-110)\/(-6) - o\/(-12). What is the highest common factor of d and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -65?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -166.501 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13095 is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514.559 nanometers in micrometers?\nAnswer: 2.514559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 145.\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 3*v - v. Suppose 0 - 20 = -5*l. Let x(z) = -2*z**2 - l + 4. Determine y(x(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 5. Let c be f(0). Let b be ((-28)\/(-21))\/(4\/6). Suppose 3*z + b*z = 0. Put 3, c, z in decreasing order.\nAnswer: c, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (6 + 3) - 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7d14d (base 15) to base 12\nAnswer: 172784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 102571 divided by -2\nAnswer: -102571\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(((-26733)\/(-38))\/(-67))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 2 + -2)*1. Suppose -i + 55 = k + 4*k, 2*k + 3*i = 9. Suppose -4*h = -5*j - 141 - k, -j + f = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2*sqrt(612) - sqrt(612)))**2 - 1*(sqrt(612) + -1*sqrt(612) - sqrt(612))**2) + -2*(sqrt(612)*-3 + -2).\nAnswer: 36*sqrt(17) + 9184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82577*s**6 - s**5 - 3*s**3 + 2595*s**2 + 4*s + 45 wrt s?\nAnswer: 9909240*s**3 - 60*s**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + b + 50 = 0. Suppose -2*i + 230 = -t + 6*t, b*i - 575 = -3*t. Which is greater: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/34)\/(100\/(-2450)*21\/18).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r - 3 + 2 - 1 + (-r + 4*r - 2*r + (4 + 1 - 4)*(-r - 3*r + 6*r))*(7 - 2 - 2) in the form f*r + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668*z = -663*z - 222725. What is the ten thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3. Let d be n(-1). Suppose 0 = c + d*c. Solve 5*s - 3*v + 13 = c, -2*s + 4*s = v - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) -0.4 (c) 10.87 (d) -100 (e) 2 (f) 1\/2 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(12\/11)\/(h\/h**(8\/3))*(h**(-1\/3)\/h)\/h**(-5))**(4\/19) assuming h is positive.\nAnswer: h**(848\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 3, b: 4, t: 4, z: 1}. What is prob of picking 3 o?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h - 165 = 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + 3*u)*(0*u - u - 2*u) - u**2 - 1 + 1 + (30*u - 39*u + 60*u)*(7*u - u - u) + (6*u + 0*u - 4*u)*(-4*u + 4*u + 2*u).\nAnswer: 249*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31083 or -34?\nAnswer: -31083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.67 + 0.37. Let c = 16 - 79\/5. Sort c, w, -0.1.\nAnswer: w, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56659 is divided by 18884.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (115\/2 - 1)\/(8\/16).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -44, -2, 5.\nAnswer: -44, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 >= -177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + -2*(2 + -1 + sqrt(475) + sqrt(475)))*5*4)**2.\nAnswer: 12000*sqrt(19) + 3040225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5841 - 371*u**2 - 696*u**2 + 2*u - 338*u**2 wrt u?\nAnswer: -2810*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31138 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3623, 4143, 4927, 5975, 7287?\n\"Answer: 132*f**2 + 124*f + 3367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 - 9*w - 12. Let o(x) = 3*x**2 + 10*x + 11. Let d = 9 + -6. Let c(p) = d*o(p) + 2*k(p). Determine s, given that c(s) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/((-12)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29235170 or -7?\nAnswer: -29235170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-58)\/(-203)*21\/2. Solve -b - 3*w + 10 = b, j*b + w - 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 8. Suppose -5*z - 1 = -n. Let j = -1 + z. Which is the nearest to j? (a) 3 (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2826 and 425470?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l**2 - 21*l - 76. Determine n(-5).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 952 divide 21721239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 642512753 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x - 212. Let n be m(-33). What is the greatest common factor of 34 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389567.\nAnswer: 389567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2. Let l(d) be the second derivative of -3105*d**3\/2 - 10*d - 118. Calculate s(l(r)).\nAnswer: 86769225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -z + 5*c - c + 3, 7*z - 12*z + 10*c - 60 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 0 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmnn when four letters picked without replacement from {n: 2, r: 2, m: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*p + 9 = 3, -5*k - 12 = 4*p. Suppose 7*t - 2*t - 15 = k. Differentiate 6 - 8*r**4 + 3*r + 0*r - t*r wrt r.\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 435b1 (base 12) to base 2\nAnswer: 10101101110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2*y + 3*y - 10, -y = -d + 2. Factor 2*i + 5*i**d - 7*i**2 + 30*i.\nAnswer: -2*i*(i - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.2. Suppose -8 = 17*l - 21*l. What is the closest to d in 0, 2\/17, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/22512 and -169\/240.\nAnswer: 112560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + l + 280. Let b be m(0). Suppose -4*s - 3*u = -b, -2*s = u - 75 - 67. Calculate the remainder when s is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14 + (-1725)\/(-483)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + sqrt(204)*2)\/sqrt(12) + 1 + sqrt(153))**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -5983?\nAnswer: 5981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:00 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1090.6 - 1091. Let u = -3 + 3.5. Let q = -89 - -90. What is the closest to q in 4, j, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -3f9bf4?\nAnswer: -3f9bf0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**4\/12 + 6*m**2. Let u(b) be the third derivative of 5*b**4\/4 + 3*b**2. What is u(h(p))?\nAnswer: 60*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1086 + -1086.4688. Round t to two dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a = f + 16*a + 7, f = 2*a + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4304*h = 4301*h + 19, 3*c = 4*h - 29 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1855.999622 to the nearest integer.\nAnswer: -1856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 1. Let j be s(2). Let r = -5 - j. Suppose 2*c + 7 + 7 = 3*k, 0 = 4*k - 5*c - 28. Solve -5*y + r = -3*z, -3*z - k = -2*y - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5066\/763 + -86\/109. Let m = j - -170\/21. What is the second smallest value in 0, m, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 2*l + l)*(-8 - 8 + 14)*(138 - 20 - 21).\nAnswer: 388*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 12, l: 1, i: 1, h: 2}. Give prob of sequence oh.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621788 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6*(5931\/54)\/((-5)\/15)?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**3\/6 + 6*m. Let y(z) = -2*z - 4. Let t be y(-4). Let l(q) = 0*q**2 + 5*q**2 + t*q**2 - q**2. Calculate n(l(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/4*(-28)\/(-42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = s - 39*m + 38*m, -2*m = -8. Suppose q - 24 = -4*o, s*o - 59*q = -60*q + 18. Put 2, -4, o, -26 in decreasing order.\nAnswer: o, 2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 862*y**2 - 5*y - 2. What are the prime factors of q(-1)?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 160946 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160763765061 - -160761888285.00002. Let y = 1876794 + w. Let d = -18 + y. What is d rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163069*g**3 + 0 - 163028*g**3 + 2 - 1.\nAnswer: 41*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39609 - -7947775637\nAnswer: 7947815246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178784628 - -19704.4.\nAnswer: -178764923.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeecececeeececeec.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*h - 8 = 0, 3*d - 6 = -2*h + 5*h. Suppose 3*f - u = -23104, -3*f + d*f - 5*u - 23080 = 0. Round f to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/7)\/((-6)\/28). Suppose u = n*u - 12, 18 = 5*y + 2*u. Suppose -5*w + 56 + 9 = 2*s, y*s - 3*w - 25 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 447067214*m**5 + 951933883*m?\nAnswer: 8941344280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 19339 - 19131 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*k + 4*x, -k + 83*x - 88*x = -23. Let j be k\/(-44) + 38\/40. Factor -1\/5 - j*p**2 + 2\/5*p.\nAnswer: -(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-2\/21)*(m*m**(-1)*m)**(38\/3) assuming m is positive.\nAnswer: m**(268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-3510)*6)\/(264\/330).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 16 + 12 + 3. Let n(s) = -s - 1. Let g(h) = -c(h) - n(h). What is g(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = j - 3*j + 36, 80 = 5*j + 5*o. Let t be (-6)\/j*4\/10. What is the nearest to t in -3, 3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**4 - o + 1. Let m(d) = 12*d**5 - 3*d**4 + 46*d - 3. Let u(k) = m(k) + 3*q(k). What is the second derivative of u(s) wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (3 + -29 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123275498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -642 - 1?\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -189770 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1170\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5))**(-1)*(z**(-1\/3))**(-1\/84) assuming z is positive.\nAnswer: z**(-247\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 - 0.09. Let n = k + -0.385. Let s = n - -0.2049887. What is s rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20503 (base 6) to base 12.\nAnswer: -1733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -10.5, 2\/3, 5, 1522 in increasing order.\nAnswer: -10.5, -5, 2\/3, 2, 5, 1522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/(-24)*(80\/(-15))\/4. Which is the third biggest value? (a) -0.8 (b) q (c) -0.066 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((17 - 5)\/3)\/(-26) + 690\/(-78).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:21 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0*(1 - 0))\/(-2). Suppose -4*u = g, 32 = -d - 0*u - 5*u. Let h = 67 + d. Calculate the remainder when h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3 + 194*k**2\/5 - 209*k\/5 - 398\/5 = 0.\nAnswer: -199\/5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.2 + 4.6. Let m = -4 - s. Let v = -1 + 3. Which is the nearest to 1? (a) -0.3 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3742, -15352, -34708, -61810, -96658, -139252?\nAnswer: -189592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*2*(-1)\/(-2). Suppose -h + 4 = 2*i, d*h = h - 8. Let a be 2\/1 + (2 - 0). Solve z - 6 = i*z - 3*u, -a*z - 2*u + 10 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 9:53 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1160, 1234, 1358, 1532, 1756, 2030, 2354?\nAnswer: 2728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.55 + -12.7. Let l = 0.25 + s. Let r = 2 + l. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**4\/12 - l**2. Let h(z) = -2*z + 2*z - 2*z + z. What is y(h(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136*t - 41696 = -167*t for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 246794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -37 - -31 - (20 - 65)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15353*p - 107427. Give g(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - k - 9 + k - 1 + 1 + (-k + 3*k - 3*k)*(-6 - 4 + 6))*(-8*k - 12*k**2 - 5*k + 13*k**2).\nAnswer: 4*k**3 - 52*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -574 - -1052.3. Let z = d + -478. Let h = -3.97 - 0.03. Sort z, 4, 0, h in decreasing order.\nAnswer: 4, z, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + (-270)\/36)*24\/(-132)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) -5 (c) 0.09 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 551 (base 15) to base 10\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -18*w - 23*w - 22*w + 89*w + 7 - 24*w. Let z(c) = -6*c - 20. Determine -8*n(r) - 3*z(r).\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkfk when four letters picked without replacement from kfkkkfkkkkfkkkkkkff?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -905430 and -0.3758.\nAnswer: -905430.3758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 125*p**2 - 254*p**2 + 127*p**2. Let b(y) = 145*y**2. What is b(i(n))?\nAnswer: 580*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + (9 - (29 - 7)) - 84) + (-3 - 11)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 25 = -2*x, 3*n + 15 = 2*x + 4*n. Let m(g) = -g**2 + 5*g + 2. Calculate m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*m**2*x**2 + 364*m**2 + 86*m*x**2 + m*x - 3*m wrt m.\nAnswer: -124*x**2 + 728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 61. Let j = y + -17. Let 1\/5*v**j + 0 + 0*v - 1\/5*v**2 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 28132770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/(-117))\/((-670)\/871).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 + j**2 + j - 1. Let o be h(-1). Find the third derivative of k**6 - 15*k**2 + k**6 - 35*k**o - 12*k**2 + 18*k**4 wrt k.\nAnswer: 240*k**3 + 432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 833 - ((-4)\/2 + 1). Suppose -2 = -2*m, -4*m - b = -2*o - 0*m. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59\/48 + 19\/48. Let a = 14803\/48 - 934\/3. Find the common denominator of z and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 18*h**2 + 30*h + 26. Calculate d(15).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 823 - 1646 + 4*y**2 + 828.\nAnswer: 4*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-19 - (-11 + (-9 - -6)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loloolqzoo. What is prob of picking 3 o and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c4 + 13d3?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 15626454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*24\/18*(-7)\/56.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-51) - (-63)\/((-343791)\/(-11128)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**5 + 5520*q**4 + 16578*q**3 + 16584*q**2 + 5529*q.\nAnswer: -3*q*(q - 1843)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 589 + -348. Let u = 127 - m. Let z = -33 - u. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3935 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: Let v = -4 + 33. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + 1. What is the remainder when 3\/6*2*w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -15*f - 162. Let q be k(-11). Let b(m) be the first derivative of 4*m**2 - 11 - 32*m - 1\/6*m**q. Factor b(x).\nAnswer: -(x - 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*0 - -3. Suppose -w*q = -0*q - 18. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757 divided by -19?\nAnswer: -1757\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 11*u - 576. Suppose 135*v - 133*v - 576 = 0. Suppose -33*k + v = -9*k. Calculate the greatest common divisor of u and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2871 and 8091.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 774 + -223. Suppose -3 = -3*x, x = -y - 4*y + f. Let h = y - 111. Let q(j) = 12*j. Give q(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76371225 and 1149225?\nAnswer: 840083475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 792 = -708. Solve h*d + 12 = 30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 8. Let i be g(-4). Let w(p) = 6 + 7 + i*p + p. Let a be w(-9). What is the second smallest value in a, 1, -2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 21*s + 455. Which is smaller: s or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10810 is divided by 105.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1889 + -1355. Calculate the remainder when s is divided by 173.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 - (-1 - (0 + 13)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s - 5*k, -5*s + 14 = -s - 2*k. Let o = 239 + -236. What is the remainder when ((-169)\/o)\/(-13) - 2\/(-3) is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1507 + 2353. What are the prime factors of c?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 476\/(-245) + (1 - -1). Let n = k - -12\/35. Factor -n*d**2 + 2\/5 + 2\/5*d**3 - 2\/5*d.\nAnswer: 2*(d - 1)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8853?\nAnswer: 3, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 8?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 - 9*v**3 - 12*v**3 + 26*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13970008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (-16 + 3 - (39 - 52) - 2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 25\/29, 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -72, -0.2, 3 in decreasing order.\nAnswer: 3, -0.1, -0.2, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1231892 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 6:24 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -15. Let z(c) = 0*c + l*c + 2 + 4*c - 3*c. Give z(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*k**2 + 1)*(2 + 1 + 0) + 19 - 19 + 4*k**2)*(2*k - 4 - 2 - 2).\nAnswer: -4*k**3 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -34. Suppose -20 = -5*b, 3*n + 5*b = g + 33. Suppose 11 = n*s - 19. What is the smallest common multiple of 9 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/152 in 0, -0.2, 1\/24, -3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*s + 62 = 65, 0 = 5*p + 3*s - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 - 72*p**3 - 936*p**2 - 5184*p - 10368.\nAnswer: -2*(p + 6)**2*(p + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (54\/(-21))\/(60\/280). What is the third biggest value in v, 3\/10, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -32\/115 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 3:37 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 - 2*c + 51 + (-13 + 2 + 0)*(-35*c - 31*c + 85*c) to g*c + h and give g.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 - 95 = q + 3*g, -750 = 2*q - 4*g. Let r = q + 332. Which is bigger: r or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = 2*v + 10, -5*p = -2*v + 22. Solve 4*x = -3*t - 22, -v - 29 = 5*x + 5*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o + 10. Let l = o - -21. What is the highest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -1. Let f = 7 + -2. Put f, -0.2, o in descending order.\nAnswer: f, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2546237795 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -169, -15, -0.0375, 10?\nAnswer: -0.0375","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcaqqeeqqcqhacacqe. Give prob of sequence hhe.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5491*y - 186516. Determine g(-34).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48486 + -21942. Let w = y - 4909. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*0.4.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 6*z**2 - 6*z - 4. Let s be g(7). Suppose 4*l + 4 = j - 37, 0 = 3*j + s*l - 93. What is the highest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -1286.\nAnswer: -1285.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*21*(-70)\/9555?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h\/(h\/(h\/((h*h*h**10)\/h)))*h)*h**(-2\/13) assuming h is positive.\nAnswer: h**(115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39178, 39213, 39272, 39361, 39486, 39653, 39868, 40137?\nAnswer: 40466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**2 + 5*r - r + 11*r + 234 + 14*r wrt r.\nAnswer: 4*r + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104775 (base 10) in base 16?\nAnswer: 19947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/5 (c) -3\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0 = -1. Let k be 395\/(-150) + 2 + h\/2. Is k at most as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 2*i. Let z(d) = d. Let u(m) = m - 7. Let t be u(9). Calculate t*z(o) - w(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84956 + 3*k + 3*k - 325288 - 5*k - 3*k.\nAnswer: -2*k - 410244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 27*f**2 + 37*f + 1634. Determine g(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 12 - 8. Suppose 7 + 3 = 5*r + 3*p, 0 = -r - w*p - 20. Let q = r - 0. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/1945 + 1961\/15560. Let b = 2.1 - 2.5. Let l be 2\/(-6)*2\/(-3). What is the closest to 0.3 in r, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 309 = 2373. Is ((-1)\/(-3))\/(2\/x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**5 + 336360*i**4 + 90600912*i**3 + 269784606*i**2 + 269111901*i + 89591850 = 0.\nAnswer: -111850, -267, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7613.9 + 7614. Which is the nearest to 151? (a) 2\/11 (b) d (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, 39, 144, 321, 582, 939, 1404?\n\"Answer: 2*q**3 + 18*q**2 - 23*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1138 + 0.1138. What is the second smallest value in 2\/11, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.8 - -27. Let p = n - 9. Which is the second biggest value? (a) 0.1 (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82689613 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25499*k**3 - 23586*k**2 wrt k?\nAnswer: -152994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*v = 24, 19683*v - 24 = -16*l + 19679*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/36*6*(-16)\/(-12)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -0.051, -0.3, 0.2?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-1) - 2)\/(-2). Let h(y) = -4 - 2*y + 4 - u. Let a(f) = -3*f - 2. What is -3*a(o) + 5*h(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.2, -5, 3\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21 + -2.21. Sort 12, 2, q.\nAnswer: q, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/(8\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w - 272 = -3*c, -5*c + 451 = -w. Let b = c + -20. Suppose -5*u = -15 - b. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1954636?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35 + 3)*(-6)\/4. Let t be n\/30 + (-9)\/(-6). Let c = t + 9\/10. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-14)*72\/28*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3728037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = x - 0*x - 1, 0 = 5*x + i - 11. What is the third derivative of -2*y**4 + 155 + 41*y**4 + y**x - 201 wrt y?\nAnswer: 936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82901773 + -5?\nAnswer: -82901778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) + (-7)\/(-2). Suppose -s*i = -i - 9. Solve 5*m - a + 6*a = 0, 6 = m + i*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/12 - (-112)\/64. Sort 37, 5, u in descending order.\nAnswer: 37, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkkwhxkwkfxfkfa. Give prob of picking 2 f and 2 k.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -220.361 - -220.32. What is the nearest to -1 in -0.06, b, 1\/6?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 29*w + 194. What is b(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575) + 1 - sqrt(1575))*3*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1639261 + 1639261 + 5*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccdynncnrcrrnn. Give prob of sequence rnn.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 4*q + 2*q + q**2 + 672*q - 672*q + 104*q**2 + (-q**2 + 3*q**2 + 0*q**2)*(1 + 0 + 1).\nAnswer: 109*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*s - 12*s - 5670 = 0. Calculate the remainder when s is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhbhbhh. Give prob of picking 2 b and 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 937511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 3*i - 25. Let m(v) = -v**2 + v - 9. Let y(b) = 3*h(b) - 8*m(b). Suppose -2*k + 5*z - 5 - 21 = 0, -3*z + 27 = -5*k. Determine y(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32422 - 32422.0016828. Round z to five dps.\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -623690, -1246971, -1870252, -2493533, -3116814?\nAnswer: -3740095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsneexqqzenx. What is prob of picking 2 n, 1 q, and 1 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5 - 84*n**4 - 2736*n**3 + 35898*n**2 - 63267*n + 30186 = 0. What is n?\nAnswer: -26, 1, 9, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmd when three letters picked without replacement from {m: 7, k: 5, d: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + -35 + 59 - (0 + 1 + -16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38514c (base 14) to base 4.\nAnswer: 13120113000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 5:27 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - 3*a**3 - 7*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1848c (base 13) to base 3\nAnswer: -2101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 5. Suppose 20 = -a*p, h = -4*h - 3*p - 37. Let i(u) = u**2 + 3*u - 5. Give i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.848683 micrograms to tonnes.\nAnswer: 0.000000000004848683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**4 - a**3 + 2*a**2 + 2*a + 1. Let o(x) = -13*x**4 + 2*x**3 - 6*x**2 - 4*x + 140. Let k(l) = -2*h(l) - o(l). Differentiate k(r) wrt r.\nAnswer: 60*r**3 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3054271 divided by -16333\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u + 14 = 4*c, -2*u + 4*c = 0. Factor 4\/5*k**u - 4\/5*k**5 + 0 - 12\/5*k**3 + 0*k + 12\/5*k**4.\nAnswer: -4*k**2*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7667968 and 693?\nAnswer: 69011712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 5*d**2 + 10*d + 7. Let k be t(8). Suppose -56 + 17 = -s - 2*a, 2*s - 82 = -5*a. Calculate the highest common divisor of k and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 3*g**4\/4 + g**3\/3 + g**2\/2 + g - 7. Let p(c) = -c**3 + c**2 - 1. What is p(i) + s(i)?\nAnswer: 2*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 14) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/((i*(i**(3\/5)\/i*i)\/i)\/i))\/i**7)\/(i*i**(3\/5))**34)**(-3\/2))**(-4\/9) assuming i is positive.\nAnswer: i**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -121, -299, -545, -865, -1265, -1751?\nAnswer: -2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a - 136 = 612 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 8.7220709744\nAnswer: -9.7220709744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -436119\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2564 + 6329. Let o = u + -2664. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -296026 + 166906. Let q = i - -53551. Let d = 198569 + q. What is d rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4892*b**4 - 30295 wrt b.\nAnswer: 19568*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -246813, -987274, -2221377, -3949122, -6170509?\n\"Answer: -246821*x**2 + 2*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -320 + 499. What are the prime factors of a?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let x = 17 + -14. Let j(r) = x*r**2 - 2*r**2 + 1 - 1. What is v(j(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -73?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193942 by 931.\nAnswer: 3958\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/131634 and 89\/1184706.\nAnswer: 1184706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32756 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) + 5\/(-3). Let g(x) = -7*x**3 - 2*x - 1. What is the units digit of g(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 20*h - 5511. Suppose -3*d + h = 2*i, 0 = d + 31*i - 36*i - 184. What is d rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 577632 and 32736?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - a + a - 4*a**3 - a**3 - 4 + 4 + (-a + 3*a - 4*a)*(-4*a + 4*a - 2*a**2).\nAnswer: -a**3 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 339 divided by -3983\nAnswer: -339\/3983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*i - 1 + 42, -62 = -5*g - 3*i. What is the least common multiple of g and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdtd when four letters picked without replacement from wtdtddtt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 12*m**3 - 5*m**2 + 2*m. Suppose -120*w + 2013 = -181*w. Let p(n) = 192*n**3 - 81*n**2 + 33*n. Give w*o(f) + 2*p(f).\nAnswer: -12*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 494\/(-1235) - (4206\/(-40) - 60\/(-80)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 9741?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13 and -10382486776705.\nAnswer: -10382486776692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3569220 and 7530.\nAnswer: 3569220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 2, t: 1}. Give prob of sequence rgr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6))\/((-2)\/12). Suppose i*l - 3 = l. Let t be ((-16)\/l)\/(3\/(-27)). Calculate the highest common divisor of 32 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7571397693 to the nearest integer?\nAnswer: 87014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -79*n - 1735. Let b be i(-22). Calculate the highest common divisor of b and 471.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17742158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4*x - 17 + 3, 5*w + 2*x = 58. Is 2160 - w - (0 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -34, -64, -132, -250?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 3 + -3)*1. What is the lowest common multiple of ((-3)\/1)\/((-1)\/s) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -159 - -27. Suppose 4*v - 745 = -v + 5*h, -5*v - 4*h + 763 = 0. Calculate the remainder when v is divided by ((-572)\/k)\/((-1)\/(-9)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 8*k**2 - 6*k + 11. What is c(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n*q**3 - 2634*n*q**2*s + n*s - 2*n + 964*s wrt q.\nAnswer: -3*n*q**2 - 5268*n*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3064 - 410. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3 - 601286*u**2 - 16836596*u - 117857544 = 0?\nAnswer: -14, 601314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.9, 0.07, 3, -7 in decreasing order.\nAnswer: 6.9, 3, 0.07, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*s**4 + 72*s**3 - s**2 + 6509*s wrt s?\nAnswer: -156*s**2 + 432*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.06 + -0.06. Let i = w + -8.4. Put -2\/3, i, -0.5 in decreasing order.\nAnswer: i, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.942 + 0.058. Is -5 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -31. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32802*g**3*u**3 - 11*g**3*u**2 + 2*g**3*u + 38*u wrt u.\nAnswer: -196812*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 46 = -5*i, 5*i - 18 = 2*i + 3*a. What is the closest to -1 in 3, 6, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-831)\/9*6. Suppose 0*c + 4*c = 5*a + g, -2 = a. Does 34 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.432281 rounded to three dps?\nAnswer: -0.432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014355997 to 4 dps.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.216 * 0.0064.\nAnswer: -0.0013824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(8*k + 10*k - 4*k)*((k - 3*k + k)*(0 - 3 + 4) - 5*k + k + 2*k + 0*k + 2*k - 3*k).\nAnswer: -168*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - 4) + (2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 154 = -19*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3, -5*g = -2*g + 5*v - 24. Suppose g*d = -11 + 17. Solve -13 + 3 = d*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4501153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -32*a**2 - 5*a - 6. Let q be p(-5). Let d = 788 + q. Solve m - 6 = d*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 824 - 824 + 76*m**2 as r + v*m + x*m**2 and give x.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**3 - 8364529231*x + 8364529231*x.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*j + 2*j**3 - 87*j + 57 + 40*j.\nAnswer: 2*j**3 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 - -58. Is 16\/28 - (-2)\/z*-8039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/7)\/(-3))\/((-48)\/264600*45)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1292 + 227. Let k = j + 3992. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 586.9294 + -587. What is p rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001611472 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 less than or equal to -77\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -35181.66 - -0.026?\nAnswer: -35181.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8281589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -15. Let n(h) = h**2 + 7*h + 3. Let k be n(s). Suppose -20 = -2*y - f - k*f, 5*f = 3*y - 41. Solve 4*g + 2 = -3*t, 4*t - y = -2*g + 4*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.08109?\nAnswer: -0.016218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -107, 1, 16, 5, 11 in descending order.\nAnswer: 16, 11, 5, 1, -8, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 - 8 = 4*b, -4*b - 5*d = 13. Let u = b - -6. Suppose 0 = -t + 3*t - 22. Let o(x) = 3*x + 3. Let l(k) = -8*k - 8. Give t*o(g) + u*l(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 15) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 3:19 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49722404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2134746*s - 2134642*s = -4992 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -373481\/45 + 8300. Calculate the common denominator of v and 53\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, d: 1, j: 2, o: 3, a: 1}. What is prob of picking 2 o and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4491266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/819 in 5, -0.4, -4\/31, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 6:20 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 9 - 9) + 0 - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-1))\/n)\/n)**(-6)\/(n**4*n*n*n**(1\/3)) assuming n is positive.\nAnswer: n**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -510, 1002, 2526, 4068, 5634, 7230, 8862?\n\"Answer: j**3 + 1505*j - 2016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 5:21 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p - 15 = 0. Suppose -36 = -p*b + 3*l, -2*b + 3*l = -5*b + 12. Calculate the highest common factor of 72 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*j**2 + 3*j - 11*j**4 + 3*j**2 - 27*j**2 + 8*j**2 wrt j?\nAnswer: -264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, -0.1, 43.7, -9.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.123 - -0.877. Which is the nearest to k? (a) -1.2 (b) -0.04 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 - 6175967*i**3 - 3502258*i - 2?\nAnswer: -40*i**3 - 37055802*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -12. Let x be 3\/1 - (-2 + r)\/4. Solve -5*t = x + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (11 - 12)\/((-115871)\/(-38626) + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from yjmjmmfgygmymymjmy.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 58446854 divided by 29223427\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*b**3*f**3*n**2 + 3*b**3*f**3*n - 4*b**3*f**2*n**2 + 7*b**3*f*n**2 + b**2*f**2*n**2 wrt f?\nAnswer: 162*b**3*n**2 + 18*b**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t + 35. Let n be l(-3). What is the tens digit of n*-27*(104\/(-16) + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 1)\/(0 - -1). Suppose -5*x + m = -15. Let w(l) = l + 0*l + 9 - x. Calculate w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*o + 4*o + 2*o + 12*o + 9*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -6. Let s be (4\/1)\/(f\/2). Let w(h) = -h - h + s + 7*h. Let l(i) = -6*i - 9. Determine 6*l(b) + 7*w(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*k + 16, -3*g + 5*g - 12 = 3*k. Is (10\/(-25))\/((k\/(-205))\/(-4)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -4. Let k be ((-2)\/3)\/(z\/(-12)). What is the greatest common factor of k and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003937 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1303293 (base 11) to base 8\nAnswer: 10474153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5477.88 nanometers to centimeters.\nAnswer: 0.000547788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 0.46, 5, -3?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/3 - 4550*p**3\/3 - 91600*p**2\/3 - 153000*p.\nAnswer: 2*p*(p - 2295)*(p + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.5927 - 0.6017. Let t = m - -0.009. Let x = -43\/33 + 18\/11. What is the nearest to x in -1\/2, t, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Put 0.02, -1\/5, 1, -20, 0 in descending order.\nAnswer: 1, 0.02, 0, -1\/5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 444070629 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.07, 0.92, 0.4, 4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 + 11*v. Let o be s(7). Suppose 5*z - 12*z + o = 0. What is the highest common divisor of 80 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -6*3*sqrt(72))\/sqrt(4))\/(4*sqrt(54)\/sqrt(9)*-3).\nAnswer: 17*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2. Suppose -6*h = -3*h. Let z(u) be the third derivative of 0*u + 0 + 0*u**3 - 1\/60*u**5 + u**2 + h*u**4. Determine z(d(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 - 21 - 140*f + 20 + 148*f + 6*f**2 as t*f**3 + q*f + n + v*f**4 + s*f**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-4)*(-93)\/651 + 685\/20\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 3*h**2 - 2*h + 1. Determine k(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = -16. Let a(w) be the third derivative of w**5\/10 - 3*w**4\/8 - 5*w**3\/6 + 91*w**2. Is a(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2616 and 109\/9768.\nAnswer: 1064712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2157435 and 0.5405967.\nAnswer: 0.3248532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 9411555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivoiilr. What is prob of picking 1 r, 2 i, and 1 v?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/(-2))*24\/56\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u + 9. Let d(s) be the first derivative of -s**5\/24 - s**4\/6 + 7*s**3 - 19. Let x(a) be the third derivative of d(a). Calculate 7*x(w) + 3*y(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -46166.99354413 + 0.058?\nAnswer: -46166.93554413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10030, 12, 5 in ascending order.\nAnswer: 5, 12, 10030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96767217.\nAnswer: 3, 398219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.203*5\nAnswer: -1.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 512104331 (base 6) in base 5?\nAnswer: 4221430340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h + 5. Suppose 4*f + 7 = 27. Let m(v) be the second derivative of -v**3\/2 + 3*v**2 - 5*v. Calculate f*m(a) - 6*k(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/18 and 16\/6903?\nAnswer: 13806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 89370365 divided by 7595\nAnswer: 11767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uurlrllrurrrlrluur. What is prob of picking 2 u and 2 r?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = -t. Suppose -j - 9 = -t. Solve -2*b = 3*m - 16, 0 = b - 2*m + j - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 28 (b) 10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -175279 (b) -4 (c) 2\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*d**3\/7 - 42708*d**2\/7 + 232768*d\/7 - 312576\/7 = 0 for d.\nAnswer: -2442\/13, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 0.13 (c) 0.08 (d) 1.09 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*t + 101*t**2 - 17*t + 4377*t**2 + 19*t + 24*t in the form p*t**2 + r*t + d and give p.\nAnswer: 4478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -336352064 to the nearest 1000000.\nAnswer: -336000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 1 - 1\/2*s**2 + 0*s. Let u(p) = -2*p. Let d(q) = -3*q. Let x(r) = 3*d(r) - 5*u(r). What is i(x(b))?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.47, -7.9, -4\/3 in ascending order.\nAnswer: -7.9, -4\/3, -0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 247308913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/24*4 + 7. Suppose -2*b - 5*q - 8 = -47, 2*b - 5*q = 9. Solve 5*s - 24 = s - 4*g, n*s - b = 4*g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 3.12\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -a35 (base 16) in base 12?\nAnswer: -1619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13977 and 147535.\nAnswer: 1327815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1317179 or 0?\nAnswer: 1\/1317179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjn when three letters picked without replacement from jnjnnnnnjnnnnnnnnn.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1619219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 15 = n - 0*n, 4*t + 4*n = -48. Suppose 0*j + 3*j - 54 = 0. Let p = j + t. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 4875735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:30 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:35 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -a51 (base 11) in base 4?\nAnswer: -103302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**4\/5 - 31668*d**3\/5 + 1670274*d**2\/5 - 3118932*d\/5 - 4820877\/5 = 0.\nAnswer: -1, 3, 51, 10503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-8 + 0 - (-7 - (26 - 30)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:39 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8 = -20. Suppose m*b - 86 = -k, 4*k + 3*b = 2*k + 152. What is the remainder when k is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttdgttcd. Give prob of sequence tt.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1356 and 1523692?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14 - (9 + -18 - -114523). Round t to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 102207855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4543\/77 + -61 - (96\/(-54) - 0).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*o - 150 = -232*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2 - 4*a**5 + 48*a**4 + 966 - 481 + 3178*a - 22*a**5 - 485 wrt a.\nAnswer: -520*a**3 + 576*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408*f + 908 - 2251 - 5697 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2735018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 221?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11201 + 3?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5. Suppose 2*w + j = -1. Let d = 67\/10 - 31\/5. Which is the nearest to w? (a) -5 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6554 and 35482.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8105380\/(-337896) + (-2)\/(-13). Let h = -1\/1203 - -281\/1302849. Let t = m - h. Calculate the common denominator of 7\/5 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + w = 0, w = -5 + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 3:15 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 15. Suppose t = n + l, 0*n + 5 = -5*n + 5*l. Suppose -2*a + 368208 = n*m + 8198, 5*m + 3*a = 600015. Round m to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -130?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*u + 118, 0 = -4*f + 2*u + 122 + 72. Find the second derivative of -11*p**5 - 46*p**4 - p + f*p**4 + 4*p wrt p.\nAnswer: -220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24118178321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2. Let f(z) be the first derivative of 11*z**4\/12 + 33*z**2\/2 - 26. Let d(j) be the second derivative of f(j). Give m(d(t)).\nAnswer: -484*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*f + i, -13 = 4*f + i + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 29*p - 18*p - 14*p + 2. Let i be c(0). Solve -i*q + 0 = -8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = g + 3 - 13, -5*n + 23 = 2*g. Suppose -s = 3*u - 2, -2*u + g*s + 12 = 2*s. Let a = u - -8. Calculate the remainder when 17 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 317992.8cm?\nAnswer: 3179.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4 - 1935248*y**3 + 234077921808*y**2 - 936288464384*y + 936280723456 = 0. What is y?\nAnswer: 2, 241904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 50. Suppose -4*x + 20 = 4. Suppose x*i + 12 = 0, 4*j + t*i + 21 + 1 = 0. Put 4, 2, j in decreasing order.\nAnswer: 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*g - 2*i - 4, i + 13 = 4*g. Find the third derivative of -10*x**2 - 11*x**g + 2*x**2 + 9*x**3 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37.228703 and 17199?\nAnswer: 17161.771297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55745\/1414 - -276\/7. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246 and 73980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30153 - 30126. Solve -v*b + 50*b + 69 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 340*t**2 - 762*t - 143436. Give f(-341).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q - 1)*((-14*q + 14 - 14)*(4 - 11 - 6) + (-1 + 1 - 1)*(-4*q + 4*q - q)).\nAnswer: 366*q**2 - 183*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*q = 12, -3*k - 5*q - 12 = -0*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 10 = 0, 4*c = 10*j - 6*j + 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49246*i - 16464*i - 16481*i - 16460*i.\nAnswer: -159*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -2 - 2) + 0. Is 12 a factor of (12\/(-16))\/(b\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-1040)\/(-64))*(-95)\/(-323).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**2*x**3 + 2*q**2*x**2 - 183*q**2 + 3732*q*x + x**3 wrt q?\nAnswer: -10*x**3 + 4*x**2 - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/20 and 85\/3356426.\nAnswer: 33564260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69.8 + 10.8. Let q = -61 - c. Let t = 110\/3 + -38. What is the fourth biggest value in t, q, 10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346610.\nAnswer: 2, 5, 11, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -106*k**2 - 8*k - 10. Let i(z) = -105*z**2 - 6*z - 8. Calculate -5*i(h) + 4*u(h).\nAnswer: 101*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92.6228 - -18.6342. Let f = p - 110.4. Let h = -0.76 + f. Round h to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*s, -2*s - 18 = -0*z + 4*z. Let t(i) = -6*i**2 - 2 - 2*i**2 - 2*i**3 - 7*i + i**3. Let j be t(z). Put 3, 0, j in descending order.\nAnswer: 3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-2 - 95\/(-40)). Let u = -6 + z. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.5551539110342 and 0.1.\nAnswer: -11.4551539110342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 965345.6 nanograms?\nAnswer: 0.0000009653456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -20. Let a(n) = -2*n**3 - 6*n**2 + 4. Let k be a(t). Suppose -2*b = 3*b - k. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20879, -20877, -20875, -20873, -20871, -20869?\nAnswer: -20867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - g = d - 3, -2*d + 4*g - 18 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, f: 3, r: 1, x: 6, o: 3}. Give prob of sequence orfg.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(11\/22))\/((-4)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56185860 divided by 30.\nAnswer: -1872862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6104 = 12209\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27032048?\nAnswer: 2, 1689503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) - (sqrt(77) + sqrt(77) + sqrt(77) + -1*sqrt(77) + sqrt(77))\/sqrt(11)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8879 + 2259*h + 8879 + 402*h.\nAnswer: 2661*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-221) + 7*(-10)\/(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*s - 10 = 4*t, t = -5*s - 5. Let y = t + -1. Let p = y - -3. Which is the biggest value? (a) 5 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1291890 - -14201420\/11. Let d = s + 852. What is the third smallest value in -1, d, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9*b*b**(-19))\/(b*b**(8\/15)*b**(-7\/6)) assuming b is positive.\nAnswer: b**(-281\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0*s + 3*s - s. Let c = -13 - -15. Let q(t) = 4*t**2 - t**c + 0*t**2. Give i(q(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 108 = c. Let q(l) = -4*l**2 + 86*l + 219. Let h be q(23). Calculate the highest common factor of h and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17520251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, 55, -1, 4, -2 in descending order.\nAnswer: 55, 4, 0.21, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 248437?\nAnswer: -248434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5697163399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37986, -37988, -37988, -37986, -37982?\nAnswer: -37976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324102 and 2280?\nAnswer: 6482040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 - 27. Let j be (-4)\/10*(19 + -69). Suppose 29*v + j = 30*v. Calculate the least common multiple of v and d.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/(n**(-8)*n))\/(n*n\/(n*(n*n**8)\/n)*n*n**(2\/15)) assuming n is positive.\nAnswer: n**(127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/41? (a) 0.7 (b) 2\/3 (c) -0.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 9:39 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 - 66\/(-30). Suppose 0 = 4*s - 5*o - 64 - 58, 136 = 5*s + t*o. Suppose 0 = -2*n - 2*k + 3*k + s, -2*n + 36 = 3*k. Solve 0 = 2*g - 7*g + n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k\/k**(1\/6))*k)\/k)\/k)**(-38)*((k**(-1)\/k)\/k)\/k**(3\/11) assuming k is positive.\nAnswer: k**(-317\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 1412424?\nAnswer: 1412441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - -7 - (-248 - 3)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*q = -146*q + 284. Let o = -9 - -9. Which is the nearest to 0.1? (a) o (b) -3 (c) q (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1076 and 72899?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/((-1078)\/781) - 4\/(-1 - -29)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16906 or -45?\nAnswer: 16906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**46 assuming w is positive.\nAnswer: w**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (4 + 2)\/(-2). What is the remainder when 51 is divided by (90\/(-25))\/(r\/(-5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 10 = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 134914054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/10 - 2\/(-5). Let m be ((2 - 3) + c)*-1. Suppose 5 = 5*i, 3*t + m*i - 2 = 15. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 - 235*t\/6 + 39.\nAnswer: (t - 234)*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30037 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z + 6. Let q = 19 + -38. Let o = q - -16. Is 12 a factor of k(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61233744191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*h = -5560, -8374 = -3*s + h + 8384. Is s a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 770 and 539.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 163943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192595438 divided by -3320611.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-14))\/((-9)\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l - 16*l**3 - 1\/10*l**5 + 0 - 2*l**4 - 64*l**2. Factor k(w).\nAnswer: -2*(w + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 39*n**2 - 1746. Let v(b) = -22*b. Give v(t(r)).\nAnswer: -1716*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**7\/5040 + 7*i**6\/720 + i**5\/5 - i**2. Let d(p) be the third derivative of b(p). Determine d(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + 2*((-2 + 0 + sqrt(2548))**2 - (3*sqrt(2548)*2)**2)).\nAnswer: -356712 - 224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.8172 less than or equal to -1.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*r, -4*a = -2*r + 48. Let c(n) = -n**3 - 11*n**2 + 10*n - 10. Calculate the least common multiple of c(a) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: a6 (base 11) to base 10\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y**2 - y. Give z(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1566 by 6.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o - 26*o + 10*o + (4*o + 0*o - 3*o)*(-1 - 2 - 1)*(3 - 3 - 2).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -de8d9 (base 16) in base 10?\nAnswer: -911577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33134130 (base 5) to base 10.\nAnswer: 286790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -797147 or -797149?\nAnswer: -797149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194 and 8633?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -3*h**5\/5 + 3*h**4\/4 + 4*h**3 - 6*h**2 - 15. Factor r(l).\nAnswer: -3*l*(l - 2)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5663 + -57.9863. Let b = -60 - j. Let i = b + -0.42. What is the closest to -3 in 4, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s - 4*m - 2, -4*s + 3*m - 4 = 0. Let x be s\/2*2 + -1250. Let q = 2722 + x. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) 0.3 (b) 1 (c) -3879 (d) 0.5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 4*u - 5. Let p be o(1). Which is bigger: -32\/13 or p?\nAnswer: -32\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4630, -9284, -13950, -18634, -23342, -28080, -32854?\n\"Answer: -t**3 - 4647*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8385657250.51 - 80.4?\nAnswer: 8385657170.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -14. Suppose f - 3 = -3*d, -7128 + 7121 = -2*d + f. Let x = -2 + 2.1. Which is the nearest to x? (a) -1\/16 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 33. Let t be l(-10). Let i(a) = -2*a + 3. Calculate i(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + 20*q + q + 0*q**2 - 28*q - 27 + 6*q as k*q**2 + u*q + i and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + y - 10 = 3*y, 2*z + 5*y = 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1260, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1788636*q**4 - 2*q**3 - 3*q**2 - 32363*q - 10?\nAnswer: 42927264*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, z: 5, u: 3}. Give prob of sequence uss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m + 50 = 28*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683*r + 343*r - 5334 = 549*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r + 3125 = 58069. Calculate the highest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 18 + 6 = 0. Let n(l) = -l**3 + 13*l**2 - 8*l - 11. Is n(t) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 5*s**2 + 10*s - 10. What are the prime factors of p(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4023451 > -4023452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314826430 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 1304656?\nAnswer: 1304655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 2:47 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2148016 and 119\/114816.\nAnswer: 51552384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 611.155 - 33.\nAnswer: 578.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 84.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - m**2 + 6*m - 7. What is the remainder when 80 is divided by i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x - 81. Let d(v) = -33*v - 200. What is -2*d(w) + 5*n(w)?\nAnswer: -19*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -14. Let r be (56\/21*3*4)\/2. Suppose -r = o*t - 144. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 17*q**2.\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -997, -1002, -1007, -1012, -1017, -1022?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 6:38 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-2 + sqrt(700) - sqrt(700)) + sqrt(700)) - -5*(3 + sqrt(700)) - ((3 + sqrt(700) + sqrt(700)*-1)*6 + 5))**2.\nAnswer: -240*sqrt(7) + 6316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.393 times -0.3\nAnswer: -0.1179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 8 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = -22. Calculate the common denominator of 45\/4 and -2*((-6)\/(-28))\/(u\/(-34)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157650 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*o + 77*o - 224 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 1308 + 1317 = 0. Let m be 5\/s + (-12)\/(-28). Do m and -109\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21.74 or 291717?\nAnswer: 21.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2312219*l + 1. Let o(u) = 79*u**2. What is g(o(b))?\nAnswer: -182665301*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 12*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(242) + 2 + 0))**2 - (-5 + -3*sqrt(18))*-5.\nAnswer: 1539*sqrt(2) + 8831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 5495 - 985. Is 82 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 9*c. Let f be h(-5). Find the third derivative of -8*g**2 - 9*g**2 + 5*g**f + g**5 + 12*g**2 wrt g.\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -73. Suppose 50 = 3*b + a - r, 205 = 5*b - 3*a. What is the remainder when 122 is divided by b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**5\/3 + t**4\/3 - 7*t**3\/3 - 498*t**2. Let l(f) = -7*f**2 + 3*f - 5. Determine -4*c(h) + 11*l(h).\nAnswer: 3*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*c - 5*c**4 + 6 - 17*c - 3*c**3 + 2*c**4 - 13*c - 12*c**4 to v*c**4 + z*c**2 + i*c + j*c**3 + r and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 8*o - 13. What is the units digit of u(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49904303723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -1\/6*l**4 + 4\/3*l - 4\/3*l**3 + 0 + 1\/6*l**2 = 0.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**10\/529200 + z**9\/211680 - z**5\/60 + 2*z**2. Let w(h) be the third derivative of n(h). Determine j, given that w(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -92.1, -0.1, 4\/13, 8, 0.3 in decreasing order.\nAnswer: 8, 4\/13, 0.3, -0.1, -92.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 23*a**2 + 52*a - 11. Is z(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*f - 20 = 15, 5*n = 4*f + 95. Let j be (-1 - -2)\/(5\/n). Find y, given that -2*y - 4*y**j + 2*y**3 + 0*y**3 - 4*y**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*k + 21, 125*f - 128*f = k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(t - t**2 - t) + (3 - 3 + 3)*(5*t**2 - 2*t**2 + 2*t**2).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -1.191\nAnswer: -0.7146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + 4.9. Let w = 5.65 - m. Let q = w + 0.3. Round q to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**2 - p - 1. Let m = 8 + 0. Suppose 0 + m = 4*n. Let g be x(n). Solve -r + 3 + 7 = 3*h, -5*r - g = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 336 - 330 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1*8\/12)\/((-2)\/(-1227)).\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1063*w + 2772 + 21154 = -437*w + 2926 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54, 50, 36, 6, -46, -126, -240, -394?\n\"Answer: -d**3 + d**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c0c (base 14) to base 13.\nAnswer: 4a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + 4 + (5*sqrt(1216))**2 + (-5 + (sqrt(1216) + -4)**2)*-3) + -4.\nAnswer: -160330 - 1152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6808267.8 - 542.\nAnswer: -6808809.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 17*x = 960. Calculate the least common multiple of (-74)\/555 - (-364)\/x and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1068*206.7\nAnswer: 220755.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -320\/3 or -106?\nAnswer: -320\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20865 + 38388. What are the prime factors of b?\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 - 33) + 37)*46\/19481.\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5744520 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52074824647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93685 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*o = 16, 4*o = 2*h - 1 + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/873 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29 + -14.29. Let v = m - -9. What is the second biggest value in -0.2, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5614, -5733, -5854, -5977, -6102, -6229, -6358?\nAnswer: -6489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2736) + -3 + sqrt(2736) + (sqrt(2736) + 3 + 4)**2)*-1*-2.\nAnswer: 384*sqrt(19) + 5560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3)\/l)**19\/(l**1\/l*l**(-6\/5))*(((l*l**(-2\/13)*l*l*l*l)\/l)\/(l**0*l))**28 assuming l is positive.\nAnswer: l**(14539\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25446755*m**3 - 46324425*m**2 wrt m.\nAnswer: 152680530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35662 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253898297.\nAnswer: 251, 317, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 0. Suppose 4*b - j*b + 432 = 0. Suppose -y + 3*p = y - b, 5*p = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89060 and 866948.\nAnswer: 264419140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 3*z + 3. Suppose -3*m = 2*m - 10. Let q(a) = m*a**2 - 3 - 2 + 4*a + 1. Give -3*h(i) - 2*q(i).\nAnswer: -i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 249038062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3 + 2589*o**2 + 3*o - 2589 = 0.\nAnswer: -1, 1, 863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -655 - -14?\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 21*r**2 - 2*r + 8. Let z(u) = -3*u**3 + 58*u**2 - 4*u + 24. Let k(y) = 8*j(y) - 3*z(y). Determine k(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 95, 189, 281, 371, 459, 545, 629?\n\"Answer: -u**2 + 97*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51973 = -597*a - 351*a + 219*a + 4588 for a.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5358.\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**3\/6 + 762*l + 1. Let n(z) = 2*z**2 + 13*z - 114. Calculate q(n(v)).\nAnswer: -2*v**2 - 13*v + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1686 and 93561 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -51706703 from 0.2.\nAnswer: 51706703.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -41.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**3 - w**2 + 1. Let d be v(-1). Suppose -2*z - 53 = -d*s - 15, -2*z = -s + 6. Factor k**2 + s + 0*k**2 - 8*k + k**2.\nAnswer: 2*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -4 (b) 1 (c) -111 (d) 2\/11 (e) 45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**4\/4 + 9*o**3 + 29*o**2\/2 + 17*o + 8709. What is z(28)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 2393.\nAnswer: 11965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 645 - 641. What is the thousands digit of (-4 - -2) + (1716 + 3 - a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 3 (c) 5 (d) -0.5099745\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 203*u = -4*v - 198*u - 6, -5*v + 4*v = -2*u + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 771, 1321, 2087, 3069?\nAnswer: 4267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*q - 17*q + 2. Let d(h) = 2*h**2 + 7*h - 8. Let n be d(-6). Suppose -2*k - m = -4*k + n, q*m = -4*k + 36. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, b: 3}. Give prob of picking 1 b and 3 h.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Let k be (1 - (-78)\/74) + -2. Let w = k - 96\/407. Which is the nearest to 1? (a) -5 (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 divided by -6?\nAnswer: -91\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 200154 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/7 and 25\/586.\nAnswer: 4102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) + (sqrt(17) + -1)**2)*-3.\nAnswer: -58 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24805007 or 7?\nAnswer: -24805007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233 divided by 2?\nAnswer: -1233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 1\/12, -13.659, 0.\nAnswer: -13.659, -3\/11, 0, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/((z**6\/z)\/z)*z))\/z**(1\/4))\/(z\/z**(1\/2))**(-21)*(z*z*(z\/(z\/(z*(z*z**(-1\/2))\/z)))\/z)**(25\/6)\/(z\/z**(-5)*z*z**(4\/7)*z*z) assuming z is positive.\nAnswer: z**(125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:28 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -269819 or -269821?\nAnswer: -269819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1715949 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 8) in base 5?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/1*(2 + 56\/(-35)). What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-1 + 0)*-4 + -4 + sqrt(68)*1*2)**2.\nAnswer: -96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24880+-11102306\nAnswer: -11127186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3319, 3320, 3321, 3322, 3323, 3324?\nAnswer: 3325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*l + 2 - 20, -h = -l - 5. Solve -3*x + 3*k = -0*x, 32 = -5*x - h*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -10. Is k <= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1))**(-14\/11)\/((((w*w*w**(3\/5))\/w*w)\/w)\/(w\/(w\/w**1))) assuming w is positive.\nAnswer: w**(-173\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -4*(sqrt(77) - sqrt(77)*-1))\/(sqrt(352)\/sqrt(2)) + 4)**2.\nAnswer: -14*sqrt(7) + 599\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2029*m + 2270. Is 191 a factor of h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {b: 10, m: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*r + 15, 5*q + 0*q = r - 3. Suppose 2*x + 4*u - 66 = q, 7*x - 3*x + 3*u - 107 = 0. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*a + 4, -38 + 46 = -4*a. Solve n = 5*u + x + 26, u + 0*u + 5*x = -10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -0.14170577.\nAnswer: -4.14170577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1363 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(5 + 5) - -5. Solve -24*o + t*o + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 45 + 0*r + 9\/2*r**2 + 0*r**3 - 79\/4*r**4. Find the second derivative of n(b) wrt b.\nAnswer: -474*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5054671959 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10332 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4299 * -0.2\nAnswer: 859.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 84. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.346607 less than -0.06?\nAnswer: -2.406607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) -6\/7 (c) -0.5 (d) -5 (e) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11939 - 216696. Let m = -54872491\/240 - c. Find the common denominator of m and -1\/10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25153 + 2211?\nAnswer: -22542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 9*f - 1. Let v be a(-7). Let c be v*3\/(-2 - -5). Let z = c - 27\/2. Is z > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 plus -56162?\nAnswer: -56208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4786367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + r = 9, 2*r - 18 = 2*w - 4. Let v(b) = -4*b - 3. Let k be v(w). Suppose -104 = -5*n - 4*j, -k*n - 3*j = 5 - 108. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1881 is divided by 105?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**2 + 6*z - 3. Suppose 0*c = -2*c + 8. Let v(s) = 2 - 13*s**2 + s - 12*s + c. Let b(x) = -11*f(x) - 6*v(x). Differentiate b(q) with respect to q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.131 in 1\/11, -1\/6, 15359?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00132791 to five decimal places.\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17907 divided by -5969\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4257020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -307, -1178, -2637, -4690, -7343, -10602, -14473?\n\"Answer: -f**3 - 288*f**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-14) - (-4)\/(-14). Let z = 8 + -8. Suppose -15 = -3*h - z. Put -5, h, s in increasing order.\nAnswer: -5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507*q**3\/5 + 380406*q**2\/5 - 117012*q\/5 + 1800 = 0. Calculate q.\nAnswer: 2\/13, 750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87948017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:55 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-307)\/(-20) + (-4)\/(-10) and ((-3)\/24)\/(10\/(-104)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4989.248 nanometers?\nAnswer: 0.000000004989248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -343 (c) -0.07 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 13*v + 62 = 0. What is the nearest to 4 in -3, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 344*t**2 + 2780?\nAnswer: 688*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3433900 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 + 84*p + 87. Let q(i) = -3*i**2 - 85*i - 86. Let n(s) = 2*b(s) + 3*q(s). Suppose n(w) = 0. Calculate w.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16008911.\nAnswer: 3391, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a65b (base 13) in base 10?\nAnswer: -80182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u - 11. Let r be i(4). Let c be (-1)\/(3 - r\/6). Suppose 2*o = -c*d + 6072, 2*d - 4678 - 1393 = -3*o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - ((-1)\/((-4)\/(-16)) - -7))*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.07 (c) -7\/6 (d) -2107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 12*m**2 + 11*m + 22. Let z be l(7). What is the second biggest value in z, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(9 - (-3112)\/(-346)). Suppose -88*g = -91*g + q. List the prime factors of g.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2720 and 2720 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-18)\/30 + 1\/5)*-215?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + 19*m + 10*m + (3 - 2 + 1)*(0*m - 4*m + 2*m).\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**5 + 3831*l**4 - 42579*l**3 - 96639*l**2 - 50232*l = 0.\nAnswer: -1288, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c + 17987 - 36014 + 18019. Let x(v) = -2*v**2 + 3*v. Let h(l) = -6*l**2 + 10*l. Let g(m) = 3*h(m) - 10*x(m). Calculate g(d(o)).\nAnswer: 98*o**2 - 224*o + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u + 383. Calculate the least common multiple of 3 and l(60).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -3*s**4 - 356*s**3\/3 + 246*s**2 - 124*s + 59. What is y in u(y) = 0?\nAnswer: -31, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 483313032 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -69*x + 54*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sryx when four letters picked without replacement from {j: 1, x: 1, r: 1, y: 5, s: 7}.\nAnswer: 1\/936","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -30\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10*2)\/(8\/(-40)*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2\/17 (c) -2\/9 (d) 1008.3 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24283.\nAnswer: 7, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 846327800 rounded to the nearest 1000000?\nAnswer: 846000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvnnnvzghnng. What is prob of picking 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 16 = -4*o + 4*i, -3*o = -4*i - 5. Which is the nearest to 1? (a) 1 (b) -0.17 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295800 rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 649 = -37*u - 18*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 5. Let j be l(0). Suppose x = j*x - 64. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3417, -3402, -3387, -3372, -3357?\nAnswer: -3342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*-5401874\nAnswer: -10803748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3744 and 576.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/75)\/((-14)\/(-35)). What is the nearest to 1 in m, 4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 6. Let g be 3\/(-12) - 2\/((-40)\/9). Is g at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16932.00009733 + -16932. Round v to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.580875 + 36482528.\nAnswer: 36482542.580875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*y + 2 + 9 + y**2 - 5238*y**3 + 3*y + 5239*y**3 + y**2 as i*y**2 + k + f*y**3 + b*y and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1085, 1, -2, 70 in descending order.\nAnswer: 70, 4, 1, -2, -1085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0382 + -0.046. What is i rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15688 - -42936. Does 104 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(605) + ((sqrt(5) + sqrt(245))**2 + sqrt(5))*1.\nAnswer: 12*sqrt(5) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -47?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -1\/3*x**4 - 2*x**3 + 0 - 3*x**2 - 4\/3*x = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5 = -4*m + 2*g, g + 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -19*m - 141. Calculate the remainder when l(-13) is divided by 2\/(-17) - (-616)\/34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g - 7. Let u be o(2). Let b = u + -31\/6. What is the nearest to 1 in -0.4, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -3. Let y(q) = 3*q + 3. Let r be y(7). Let g = r + 4. What is the remainder when g is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -792798731, -1585597464, -2378396197, -3171194930, -3963993663?\nAnswer: -4756792396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 24, 28, 34?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1650 is divided by 207?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/((p\/(p**(-2\/13)\/p))\/p))**13*(p**(-2\/7)*p**(-5))\/(p**(-2\/3)\/p**5) assuming p is positive.\nAnswer: p**(1058\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - (-2*sqrt(204) + sqrt(204) - sqrt(204))*-5 - sqrt(204)) + sqrt(204))*3)\/(-3*6*sqrt(48)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4362.47 rounded to the nearest 10?\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.067 - -4685901.\nAnswer: 4685866.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 542\nAnswer: -9\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 - 1.7. What is the nearest to 1\/6 in x, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 13332709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 1. Let o(r) = 1. Let y(x) = 3*a(x) - 7*o(x). Determine y(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51807\/5 + -10363. Let k = -54007\/720 + 378\/5. Let n = 17\/144 + k. Calculate the common denominator of t and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 16 + 92 = -6*w, -2*b - 17 = -w - 35 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6007.427 micrograms in nanograms?\nAnswer: 6007427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, and 1 g when three letters picked without replacement from gjqgyyeb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 7. Let m(w) = -w**2 - 83*w + 351. Let j be m(-87). Let k(b) = -2*b - 13. Give j*k(x) + 5*t(x).\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 15*n**2 + 35*n + 17. Let f be b(-17). Solve 4*a + f - 8 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28974 + 76631. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - (0 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, v: 1, r: 2, j: 1, l: 1, i: 1}. Give prob of sequence lrri.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (1 - (4 - 4)). Let f be 2 - v\/((-3)\/(-12)*2). Solve 3*d + t - 15 = -d, f = 4*d - 2*t - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*1 - 0)*(10 - 2346\/238). Let p = 2.08 - 0.08. Let v = p + -4. Which is the closest to g? (a) v (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(540)*-5)\/sqrt(12) - ((sqrt(15)\/(2*sqrt(3)))**2 + (0 + 1 + sqrt(5))**2)).\nAnswer: -17*sqrt(5) - 29\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y = 15. Suppose 0*b + 2*b = 8. Suppose 10 = -b*x - 2. Sort x, 4, y.\nAnswer: y, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9196988959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1152) + 3*(sqrt(1152) + sqrt(1152)*-1 + sqrt(1152)) + sqrt(1152) - sqrt(1152)) + sqrt(1152))*-3)\/(-2*sqrt(54) + (sqrt(180)\/sqrt(3))\/sqrt(10)).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 - -100. Let c(i) = 2*i**3 + 2*i**2 + 1. Let m = -10 + 5. Let y(s) = -s**3 - s**2 - 1. What is h*c(l) + m*y(l)?\nAnswer: -l**3 - l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 387736849 to the power of 1\/2, to the nearest integer?\nAnswer: 19691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 6*h**4)*(579 + 545 + 4*h - 1070).\nAnswer: -24*h**5 - 324*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059440619?\nAnswer: 3, 61, 2341, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v - 47*v + 23*v + 12*v - 66*v**2.\nAnswer: -66*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*41.5.\nAnswer: -16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5126 and 0.0141.\nAnswer: -72.2766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 3)*(-2 - 1 + 7) - 5 + 1 + 1 - 1 + 0 + 3 - 4 + 1 + 2)*(-3 + 0 + w**5 + 4).\nAnswer: 2*w**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8520978ml to litres.\nAnswer: 0.0008520978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21373 - 21172. What is the greatest common factor of 21 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 691745230 to the nearest integer?\nAnswer: 26301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1046, -1\/3 in decreasing order.\nAnswer: 5, -1\/3, -1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -177, -0.4, -1\/6, -14\/391 in decreasing order.\nAnswer: -14\/391, -1\/6, -0.4, -3, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1084\/(-16) + (-4 - (-75)\/20). What is b rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 11:46 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1789.5834 - 0.4166. Let z = -1774.54 - t. Let w = -0.34 - z. Round w to 0 decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -m + 7, -h + 22 = 5*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3987124.25 rounded to the nearest 10000?\nAnswer: 3990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 - 51*a - 45*a + 27*a wrt a.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261.56 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 2)*(-11*q + 2*q - 10*q)*(-28 - 19 - 49).\nAnswer: -14592*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/((-99)\/(-9)))\/(9\/2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 43*l + 64. Calculate the least common multiple of p(20) and 3211.\nAnswer: 12844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-12)\/h)**(3\/5)\/(h\/(h*h**(-3\/4))*h**(2\/23)))**(3\/20) assuming h is positive.\nAnswer: h**(-11091\/9200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 1. Let k(f) = 4*f**2 - 3*f - 3. Let z(j) = -4*h(j) - k(j). Suppose 0 = 2*u + 4*x - 14, -5*u - 5*x + 13 = -2. Calculate z(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16136266 to the nearest 10000.\nAnswer: -16140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-56))\/(13\/819). Solve -25 = 4*g - v*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 56*a - 60.\nAnswer: 4*(a - 1)*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*(-2 - 2). Let p = 9 + 8. Let v(g) = -g + 21. Let c be v(p). Solve n*q + 7 = 3, -q + 10 = c*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q + 0 + 2*q**3 - 12*q**2 + 1\/2*q**4. What is the first derivative of d(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -18 + (-75 - -83) - -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -25*o. Let q(w) = 18109*w**2. Determine p(q(j)).\nAnswer: -452725*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 53170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000185604 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t - 212. Give z(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9 - 2\/9*m**2 - 2\/9*m**3 + 8\/9*m.\nAnswer: -2*(m - 2)*(m + 1)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2756 and -1.1.\nAnswer: -2757.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 278383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328004 not equal to 4656005\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -o - 162, 3*k + o - 4*o + 90 = 0. What are the prime factors of k\/(-12)*-6*-16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120120200 - 12210?\nAnswer: -120210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326294, -326295, -326296?\nAnswer: -326297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -3, 23, 4, -4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 134842.4296977 minus -0.1?\nAnswer: 134842.5296977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/393 - -748\/7467. Let l = -56\/93 - 2\/31. Suppose 679*i + 33 = 690*i. Which is the second biggest value? (a) q (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1914320.9999995 + -1914319. Let p = b - 2. Round p to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/24)\/(-1 + (-26)\/(-8)). Let i(r) be the first derivative of c*r**3 - 1\/9*r + 0*r**2 + 16. Solve i(o) = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -60\/13?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 26. Suppose 0 = 3*f - 5*d - o, 4 - 2 = -2*f - d. Suppose -5*w + 2*t + 63 = f, 5*t + 14 + 17 = w. Calculate the highest common factor of 44 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*x - 5*g - 43, 3*x + 5*g = -8. Find m such that 2\/11*m - 2\/11*m**x + 0 - 2\/11*m**3 + 2\/11*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 10 - 2*d + 8*d**3 - 9*d**3 - 2 + 4 + 6*d**2. Let w be n(6). Let l(f) = -f + 12. List the prime factors of l(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58.5 - 60.488. Let f = c + 1.988000869. What is f rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b - 2. Let p(s) = 40*s - 6. Let d(i) = -5*p(i) + 16*r(i). What are the prime factors of d(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -4\/9, 4, -388 in decreasing order.\nAnswer: 4, 1\/7, -4\/9, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 438 - 427. Calculate the remainder when k is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 30208659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*u - 193 = 0, -126 = -3*q + 3*u + 39. Let p = -45 + q. What is the remainder when p is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43241 + -43242. Let v = 25797\/6407 - 174\/43. Is c > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18591940 divided by -149935.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65720*o**5 - 2*o + 354872 wrt o.\nAnswer: 1314400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*a + 4 = 0, 4*z + 13*a - 6101 = -6193 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**5*j + 19*d**4 + d**2*j - 2*d**2 + 152*d*j wrt d?\nAnswer: 180*d**2*j + 456*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106702 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*u*x - 4512*u - 209*x - 1206 wrt u?\nAnswer: 28*x - 4512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 45*s**2 - 53*s - 419. What is u(-44)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 516 + -563. Which is the third biggest value? (a) r (b) -4\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/2, -4, 0.4?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**3\/3 + n**2\/2 - 1. Let d be r(-2). Let c be (-12)\/9*(-135)\/30. Solve 0*b + 5*b = -10, 5*f - d*b = -c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 8:50 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -p + 5, -4*p - 2*z = -5*z - 27. Let g(x) be the first derivative of 5\/2*x**2 - 3 - 1\/4*x**4 + 5\/3*x**3 + 7*x. Determine g(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 131?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -297 - -597. Does 75 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/4416 and -115\/2316.\nAnswer: 852288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5838 + -5786.61. Let r = -51 + w. Sort -5, r, -2 in increasing order.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274992 + 274992 - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 475580143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*c, -c + 5*c = 4*f - 24. Suppose f*d = -d + 100. Suppose 5*x - 2*l = 2*x + 23, x + 2*l - 5 = 0. Solve 3*i - x = g, 6 - d = i + 5*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -268, 92, 0.4.\nAnswer: -268, 0.4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62\/11*w**4 + 72\/11 + 6\/11*w**5 - 134\/11*w**2 - 64\/11*w + 58\/11*w**3 = 0. Calculate w.\nAnswer: -9, -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 21 = -t, i + 0*i = -4*t + 24. Solve u = -3*b + i - 24, -3*u - 5 = -2*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/340*(-2)\/14*5*49?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*p**4*s + 2*p**4 + 2*p**2*s + 2*p*s - 33*p + 8*s wrt p?\nAnswer: 276*p**2*s + 24*p**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 4. Let u(f) be the second derivative of f**3\/2 + 564*f. What is t(u(x))?\nAnswer: 6*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -64*p**4 + 9*p**3 + 45*p**2 - 6*p - 13. Let o(r) = r**4 - r**2 + r + 1. Let a(h) = -k(h) - 6*o(h). Find the third derivative of a(j) wrt j.\nAnswer: 1392*j - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -764, -1519, -2270, -3017, -3760, -4499, -5234?\n\"Answer: 2*y**2 - 761*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -17 - (-1 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 652\/21507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 2. Let i be (-4)\/2 - 24\/(-4). Suppose 0 = d - i - 1. What is the units digit of t(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274833 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1125, 1107, 1097, 1101, 1125, 1175?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5655 = 5301*n - 5388*n for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 310.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 4105*t**2 + 12350*t + 8240.\nAnswer: -5*(t - 824)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**4\/6 - p**3\/2 - 416*p**2. What is n(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 10. Let u be b(8). Suppose -5*w - u*o = -0*w + 20, 8 = -2*w - 4*o. Let x(g) = -10*g - 7. Calculate the remainder when x(w) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 (base 15) in base 8?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714 = 193*t - 610*t + 410*t for t.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151006\/239153 + 2\/12587. What is the common denominator of c and 4\/279?\nAnswer: 5301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100222 + 323200220?\nAnswer: 323033332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:54 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*q + 4*r + 140 - 1336, -19264*r + 19263*r = -3*q + 62 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*n + n, 4 = -3*k - n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Let l = 4 - x. Which is the second biggest value? (a) 0.1 (b) 1\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 11:44 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8358 - 8447. Which is the closest to 1? (a) -7 (b) d (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00398868859 to six dps.\nAnswer: -0.003989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {o: 6, g: 2, a: 1, c: 2, n: 6}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 444918.6 millennia?\nAnswer: 4449186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 10:22 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1592863.7854818 - 0.\nAnswer: -1592863.7854818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20348 and -1?\nAnswer: -20348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11102021 (base 3) to base 12\nAnswer: 1a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -3*c - 3*c. Suppose -5*n = 4*o - 155, 5*o + 9 = 2*n - 53. What is the greatest common divisor of n and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248155869 to the power of 1\/3, to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6 + 21\/(-7) + 8895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 divided by 2?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1126, -79, 2, 3, 0 in increasing order.\nAnswer: -79, 0, 2, 3, 1126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from qkkkcccucukcich?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-6768)\/3387 + 0. Let n = t + 48503\/24838. Let k = -33 + 83\/2. Find the common denominator of n and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 - 48*w**2\/5 + 72*w\/5 - 32\/5 = 0 for w.\nAnswer: 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/9 + (2 - 49\/(-21))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 423.9027 nanograms?\nAnswer: 0.4239027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146418291 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.184037756 and 0.255.\nAnswer: -4.929037756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -231*c**2 - 429*c**2 + 1 - 17 wrt c.\nAnswer: -1320*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.583153 or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Factor 2*s**3 - 7*s**3 + s**m + 3*s**3 + s**2.\nAnswer: -s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -7)\/(1\/152*4) a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 6*m**2 - 5*m**2 - 34*m - 55 + 4*m**2 + 3*m**3 + 24 to the form q + r*m**3 + p*m**2 + t*m and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 88.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i**2 - 4. Let z(p) be the third derivative of p**5\/4 - 7*p**3\/6 - 3*p**2. Let q(v) = 7*w(v) - 4*z(v). Let n(s) = -3*s**2. Give n(q(o)).\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6738 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 468*r + 22 - 9 + 122.\nAnswer: -468*r + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41970*f**6 + 2*f**3 + 3*f**2 + 19601*f?\nAnswer: 5036400*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*h = -3*h. Solve h = 31*j + 18*j + 294 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 2313?\nAnswer: -2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675089.8ns in minutes?\nAnswer: 0.00004458483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -474.6449 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1842867 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**2*i**3 - 2*h**2*i**2 + 4*h**2*i*w - 2*h**2*w - h + 273160*i**4*w - 4 wrt i.\nAnswer: -12*h**2 + 6555840*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0*y + 26. Suppose -98 = -2*x - y. What is the remainder when x is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1295 divide 54108803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -182 + 187. Solve -t + 5*p = t - 27, 0 = -z*t - 3*p - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 117*g**2 - 262*g - 11846. Give o(-58).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/9)\/((-2)\/12) + 10. Let m be (-7)\/6 - -1 - (-110)\/y. Calculate the highest common divisor of 72 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 35.7. What is the closest to -2\/7 in o, -1, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -1\/3*b**3 - b**2 - 4 - b. Factor a(c).\nAnswer: -(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -139380*i*x**3 - 55683*x**3 wrt i?\nAnswer: -139380*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/15)*l*l**(-4\/11)\/l*l**4*l*l*l*l**(2\/95) assuming l is positive.\nAnswer: l**(20453\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -40*o - 65. Let u(n) = -5*n - 8. Give -25*u(g) + 3*v(g).\nAnswer: 5*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-276 + 2 + 0)\/(-2). Let z be (1 + m)\/(5 + -3). Suppose -5*o + 339 - z = 0. 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: How many decades are there in thirty-seven fifths of a century?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*p + 60. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 826 - 821. Solve 13 = -z*y - 4*r, -y + 1 = -4*r + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 624323.4 milliseconds?\nAnswer: 624323400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/90*-5*(-17)\/((-374)\/(-220)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -592 + 1276. Suppose -4*i + y = -516. Is i a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 30 = 5*l. Let v = -3 + l. What is the greatest common divisor of v and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -542*k**3 - 44*k**2 - 2*k + 2. Let z(p) = -p**3 - p**2 + 2*p + 1. Let v(c) = 2*q(c) + 2*z(c). Find the third derivative of v(g) wrt g.\nAnswer: -6516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -207, -215, -223?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 669159 and 1341.\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1, 58?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8 - 76 = 4*g, 0 = -3*v - g + 75. Suppose 3*a = 15, -5*a = -0*t - 3*t + 239. Let n = t + -64. Is n <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-1) - -1) + 0. Suppose 5*w - 11 = l, -3*w - 4*l = -u - 1. Let i = -69848 + 69851. Solve i*q - w = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -22. Let w = 56.9959 + t. Round w to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - -2*(-1 + sqrt(1573)) - (sqrt(1573)*-1*5 - sqrt(1573)))**2.\nAnswer: -396*sqrt(13) + 127417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2868*r + 327*r - 3289*r = 1384*r + 281346 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1571303*j**4 - j**3 - 4*j + 42351905.\nAnswer: -6285212*j**3 - 3*j**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2961.095 rounded to the nearest integer?\nAnswer: -2961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 9.8437.\nAnswer: 10.1437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -177*q + 2846. Let r be k(16). Solve r*s = -5*t + 13*s + 27, 3*s = -3*t + 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 86*b**2*l + 941*b**2 + 33*b*l**2 + 2*l wrt l?\nAnswer: 86*b**2 + 66*b*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -15*q + 6. Suppose 0 = q*w - 107 - 33. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13) + -1 + 2 + sqrt(208) + -3 + 3.\nAnswer: 3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1348*j - 166 = -1347*j. Is j*((-2 - -2) + (-371)\/14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30254.21962 to the nearest integer.\nAnswer: 30254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1 + 2. Let t = 0.1 - -2.9. What is the nearest to b in t, -1\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 4*n - 3*h, -h = 3*n + 4*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209440 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 2*k = -17975562. Suppose 5*i = -h + 41250000, -i + k = 3*h - 5254073. Suppose 0 = -3*q - 8*q + i. Round q to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232 (base 7) in base 2?\nAnswer: 1100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f**2 + 1. Let m(u) = -4*u**2 + 0*u + 2*u**2 + 2*u - 5*u. Let s be m(-2). Let k be 3\/5 - s\/5. Calculate z(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242951 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 99813.\nAnswer: 1\/99813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n + 5*v, 0 = -2*n - 2*n - 5*v + 26. Let x = 2 + 4. What is the first derivative of -x - 13*s**4 + 14 + 8*s**n + 12*s**4 wrt s?\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 5*i - 4. Suppose -3*o - 5 = 7. Let z be w(o). Let l be 0\/3 + 1 + z. Calculate the highest common divisor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fya when three letters picked without replacement from {j: 1, i: 2, f: 1, m: 1, a: 1, y: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2469*x + 27. Let q(t) = 190*t - 2. Determine 2*p(m) + 27*q(m).\nAnswer: 192*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227.435 + -227.6150048. Let a = -3 - -3.18. Let k = a + g. What is k rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 2*r - 107 + 45 - 3*r + 29 + r.\nAnswer: -4*r + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*m + 3*i - 5, -i + 1 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 590442 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1600*8\/(64\/(-24500)). Round c to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*y - 40*y - 234 + 35*y - 91*y.\nAnswer: -160*y - 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 = h, -4*h + 0*h - 40 = -4*a. Let i be 3 - (54\/h)\/(-3). Is i smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -14*j. Let f(g) = -20*g. Calculate z(f(i)).\nAnswer: 280*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -0.1. Let p = -0.1 + s. Let h = p + 0.8. Which is greater: h or -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, o: 3, i: 9, q: 2}. Give prob of sequence oqoi.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80.3 - -80. Let z = 2318 - 2312. Which is the second smallest value? (a) 3 (b) j (c) z (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 1 - 4 - 1 + 15 - p**3 + 8*p**2. Does 17 divide b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -50\/9, 3, -2, 0.2, 8.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*444\/8 - (-3)\/(-2). Round a to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (112\/12)\/((-2)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297616 is divided by 593.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-14)*2 + 218. Let t = 221 - y. Solve m - 3 = t*m + l, -l = -m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5658.00914 - 5658. Round s to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-60)*2 + (2720\/(-120) - -23)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1661.4 - 1661.2. Which is smaller: -5286 or r?\nAnswer: -5286","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 2b9e?\nAnswer: -2ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.059\nAnswer: -0.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t + 0*t**2 - 1\/4*t**4 + 5 + 1\/2*t**6 - 2\/3*t**3 + 4\/5*t**5. Find f such that k(f) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 17*x**2 + 2*x - 21. Let a be w(17). Let y = 1197 + -731. Let k be y\/4 - (-1)\/2. What is the greatest common divisor of a and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1.25. Let m = 0.65 - w. Put m, -3, -4 in ascending order.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.3 + -19.3. Which is the closest to 0.2? (a) 0.5 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2))\/w*w**(-2\/9)\/w)**(-49)*((w*w**1)\/w**(1\/3))\/(w**(-1\/2)\/((w**4\/w)\/w*w)) assuming w is positive.\nAnswer: w**(2935\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -ac?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 + -2958.486.\nAnswer: -2958.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/60 or 7147?\nAnswer: 7147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f**2 - 4825*f - 34533. What is t(-7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/342 and ((-292)\/630 + (-90)\/(-225))*30?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 3*n = 0, 0*n + 0*n + 3*n = -4*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {n: 9, a: 4, r: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 16*j**2 + j + 10. Let d be i(-8). Let g be d\/(-2 + 2\/1 - -20). Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3016681?\nAnswer: 1621, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -319*r + 323*r + d - 132, 0 = -r + 5*d + 33. Let o(c) be the second derivative of -1\/6*c**3 - r*c + 0 + 0*c**2. Calculate o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/7510976 and 3\/5264?\nAnswer: 52576832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(448) + 3 - (5 + -2*sqrt(448) - sqrt(448)))**2.\nAnswer: -160*sqrt(7) + 11202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -29550964 and -29550965 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/4*(486352\/12543)\/(-269).\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2819129025 divided by 3\nAnswer: 939709675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 370*g + 9 - 4 - 4469*g in the form m*g + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/232086 and -47\/21.\nAnswer: 1624602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3 + 5. Let h be w\/(-7) + 96\/56. Let k(c) = 3*c - 4*c + c + h*c. Let l(n) = -4*n. What is k(l(j))?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*n**3 + 2*n**2 - 2*n**2 + 24*n**3.\nAnswer: 146*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -74*l**2 - l - 5. Let v(t) = 74*t**2 + 2*t + 6. What is 4*o(r) + 3*v(r)?\nAnswer: -74*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 125085 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**4 - 18779*i**3 + 2*i + 6371722?\nAnswer: -60*i**2 - 112674*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 341\/(57\/((-3534)\/682))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2 (b) 15\/2 (c) 3 (d) -5 (e) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Let o(b) = 1630658*b. Give w(o(l)).\nAnswer: 3261316*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 2 + 2. Let b(i) be the second derivative of 1\/12*i**4 + 0*i**3 + 0*i**2 - 3*i + 0. Calculate b(s(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 1:04 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-8\/3)\/u*u))\/u**(-8\/3))**(-45\/2)\/(u\/(u\/u**(-12))*u\/(((u\/((u\/(u\/((u*u**(-1\/2))\/u)))\/u))\/u*u)\/u*u)*u)**(-6) assuming u is positive.\nAnswer: u**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*p - 5. Let v be (2\/(-4))\/(p\/(-22)). Let i = v + -4. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 + 4*f**2 - 2*f + 3. Let x(h) = -8*h**3 - 11*h**2 + 5*h - 8. Determine -11*a(p) - 4*x(p).\nAnswer: -p**3 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -321, -644, -965, -1284, -1601?\n\"Answer: o**2 - 326*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 + 2*y**4 - 5*y**2 + (-11*y**2 - 3*y + 3*y)*(-34*y + 34*y + 81*y**2) + y**3 - y**4 - y**3.\nAnswer: -890*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -357054744*n**4 + 2*n - 45616527?\nAnswer: -4284656928*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 960?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4\/7*z**3 + 0 + 2\/7*z**4 - 6\/7*z**2 + 0*z = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8943 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210112002011100 + -2?\nAnswer: 210112002011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5914, 5600, 5288, 4978, 4670, 4364, 4060?\n\"Answer: l**2 - 317*l + 6230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 293608 by 343.\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10420 = -194*t + 1802 for t.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 15 - 289*x + 285*x + 75 - 22 - 16.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16 and -0.10837.\nAnswer: -16.10837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3*l)*((-2 + 3 + 0)*(-6*l + 4*l + 0*l) - 1 + l + 1 - 385 + 385 - 26*l) as x + m*l + s*l**2 and give s.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/5)*f)*f*f)**(8\/9) assuming f is positive.\nAnswer: f**(88\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*d - 39, -2*d - 23 = -3*y - d. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -292, 2\/9, -2\/13, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 5*b**2 - 7*b + 37. Let n be k(5). Suppose -3*z - 3*x - 43 = 35, 0 = -n*z - 4*x - 54. Is -25 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 3920528?\nAnswer: 3920526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/3 + 2. Suppose 0 = -9499*l + 13181*l + 14728. What is the closest to -5 in -5, -1, h, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p**2 + 10*p + 7. Let u(j) = 10*j**2 + 9*j + 6. Let t(n) = 4*u(n) - 3*y(n). Let a(v) = 4*v**2 + 2*v + 1. Calculate -7*a(q) + 2*t(q).\nAnswer: -2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 62192, 62194, 62196?\n\"Answer: 2*z + 62190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15042212 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1384.422972 to 1 dp.\nAnswer: -1384.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001011000 (base 2) to base 16.\nAnswer: -458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200051 (base 7) in base 13?\nAnswer: 53b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/3? (a) 3 (b) 28 (c) -3\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Let c(f) = -f + 5. Let z be c(j). Suppose 5*u = -z*i - 10, 0*i - 3*i - 18 = -3*u. Solve u*v - 5*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -0.4 (c) 0 (d) 5 (e) 192\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u + 4 = -420 - 134. Calculate the lowest common multiple of u and 5721.\nAnswer: 34326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 717450 divided by 143490?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-102)\/136 - (1053\/(-12) - 3) is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**7\/1260 + m**6\/144 + 7*m**5\/60 - 6*m**2. Let w(l) be the third derivative of k(l). Is w(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3116 or 3111?\nAnswer: 3116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180327.\nAnswer: 3, 7, 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1377)*6.\nAnswer: 5 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) -1 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23849 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 2a50?\nAnswer: 2a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Let u(i) be the third derivative of -1\/24*i**4 + 1\/60*i**5 + 0 + 13\/6*i**3 + 0*i + 27*i**2. Determine u(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 9:11 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -8956468 and -214725.\nAnswer: -9171193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7238 (base 12) to base 4\nAnswer: -3002030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 28. Let x(d) = d**2 - 5. What is x(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**4 + 20065*u**3 - 676845*u**2 + 1649735*u + 6167450 = 0.\nAnswer: -2, 5, 31, 3979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-402*b**4 + 3061*b**4 + 2*b - b - b)*(-2 - 1 + 2).\nAnswer: -2659*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t. Let p(d) = 270*d - 50. Let r(f) = -16*f + 3. Let j(o) = -3*p(o) - 50*r(o). Calculate b(j(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 2. Let k be a(0). Let i(h) = h - 10 + 2*h + h**2 + 0*h**k. Let m be i(-5). What is the third smallest value in -0.4, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8762288 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = -8. Is 33\/2*(-40)\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2426, -2348, -2232, -2090, -1934?\nAnswer: -1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 + 3*k. Suppose -24*w + 20*w = 12. Let r(a) = 49*a**2 + 35*a. Determine w*r(d) + 35*x(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6567)\/55)\/(4\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 762 = 165*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4924, 20566, 46944, 84064, 131932, 190554, 259936, 340084?\nAnswer: 431004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1512 and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 65*u**2 + 7 - 60*u**2 - 4.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**6\/120 - 3*k**5\/20 - 5*k**4\/8 + 7*k**3\/2 - 105*k**2. Let m be u(-6). Solve 4\/3*l**2 + 0 - 2*l + 2\/3*l**m = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6245.359l to millilitres.\nAnswer: 6245359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 10:16 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7 - 3. Suppose -4*u - 65 = -2*y - 9*u, 29 = y - u. Let p(d) = y*d + 17*d - 44*d. Calculate p(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*y**4 - 132*y**3 + 141*y**2 - 30*y.\nAnswer: 3*y*(y - 5)*(y - 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(44) - sqrt(396)*5) - (3 + sqrt(44) + sqrt(132)\/sqrt(3) + 4))**2.\nAnswer: 128*sqrt(11) + 11268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/10 and 59\/260520.\nAnswer: 260520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**3 + 46*v**2 - 94*v + 21. Determine f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - 4*d**2 + 6*d - 7. Give k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 9, 1, -2222?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1516 and 34008428.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6040.41 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*t**3 - t - 17*t**3 - 4*t)*(t + 2*t - 2*t).\nAnswer: 2*t**4 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -426 + 235. Let q = 48 + -143. Let m = q - h. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**4 - 129*q**3 + 597*q**2 + 1569*q + 846 = 0.\nAnswer: -47, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 10, z: 10}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -1)\/((-15)\/(-75)). Suppose k = -b*u + 15, -4*u + 3 = 3*k - 4*k. Suppose 0 = 2*y - 4*a + 6, -2*y = 3*y + 5*a - 15. Is y greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g - 11. Give b(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0)\/(1 + 0). Let c = 3 - r. Sort 2, c, -2 in decreasing order.\nAnswer: 2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1234983 and 1266?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10+4.1\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6515 and 195?\nAnswer: 254085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 6*t**2 - 2*t + 1. Calculate the remainder when i(-6) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*4\/(-1680)*424\/477.\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01742613 rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35205?\nAnswer: 3, 5, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**5\/30 + i**2. Let g(f) be the second derivative of -5*f**4\/12 - 5*f. Determine g(o(c)).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 21. Let h = 16 - 14. Calculate the least common multiple of (-4)\/(24\/(-9))*h and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 2845*c - 779155. Calculate x(307).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/72 - 14\/63. Sort 5, r, -215 in decreasing order.\nAnswer: 5, r, -215","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2391760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2139.92 + 108\nAnswer: 2247.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -809311.8 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -533, -529, -525, -521?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*q**2*v*w + 9*f*q**2*w**3 - 7*f*q*v*w + 7*f*v*w**2 - 2*f + q**2*v*w**2 + 2*q*v*w**3 + q*w wrt q?\nAnswer: 2*f*v*w + 18*f*w**3 + 2*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 2) + -17 + 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from xmnxmnfnmjmmmfxmx.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v. Let l be 18\/(-24) + (770685\/12)\/5. Let w(i) = l - 11*i**2 - 12844. Give w(x(d)).\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 5 = -10*q. Suppose 39 = 2*i + 3*g - 1, -q*i + 4*g = -40. Suppose 3*y = i*y - 2937. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moobfofo. What is prob of picking 1 f and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/6 - -43\/30. Let 4\/5*l - h*l**2 + 4\/5 - 2\/5*l**3 + 1\/5*l**4 = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1128*q**6 + 2*q**4*v**3 + 2*q**2*v**3 + 226*q**2*v**2 + 4*q**2 wrt q?\nAnswer: -135360*q**3 + 48*q*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01554 to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -54, -5, -0.2, -6\/7 in increasing order.\nAnswer: -54, -5, -2, -6\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, -8, -0.3, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + 11. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82.16*-5.\nAnswer: -410.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c - 7 = -3*j - 56*c, 8 = 3*j + 4*c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 1. Suppose -2*t + 4 = 2. Let s be c(t). Is 4 a factor of 1*s + (-80)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)\/j)**(-20) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8267 take away 0.5?\nAnswer: -1.3267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42573189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 4*w + 24. Suppose -s - w*k + 20 = -3*k, -3*s + 4*k + 34 = 0. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 9*o**2 - 16*o + 14. Let v be q(7). Let b be (1266 - (v + 2))*-5. Let n = 10949 + b. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*10\/325 - 0. What is the nearest to -0.1 in p, 4, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 13 + 11 = 0. Let f(a) = -a**3 + 8*a**2 + a + 3. Let w be f(k). Suppose 0 = v - w + 4. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -1 - (3 + -1 - 1) - 7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**3 + 3*c**2\/2 - 5*c. Let t be k(-4). Let l = 38 + t. Calculate the remainder when l is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 4*f + 1 - 5*f + 14*f. Determine p(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**2. Let m(d) = -7*d**2. Give m(g(t)).\nAnswer: -448*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 3)\/4 - -5. Let f = 3 - s. Let x(a) = -2*a**3 - 2*a**2 - a + 1. What are the prime factors of x(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - b + 3 = 0, 4*p = -4*b - 1 - 23. Let d = -0.03 + -1.57. Let q = -1.57 - d. What is the closest to -2\/15 in p, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**7\/28 - a**6\/20 + 9*a**5\/40 + a**4\/8 - a**3\/2 - 58*a + 1. Let b(o) = 0. What is o?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313 (base 5) to base 6\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 17*q**2 - 21*q + 12. Determine d(18).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 28 = -5*l, 5*o - 6*o = l - 12. Suppose 17*d = o*d + 16. Let z = 4 + -1. Solve 0 = -z*n - n + d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203936 divided by 395\nAnswer: -203936\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4*u = -s - 60, -21 = -3*s + 15*s + 2*u + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*t**2 + 54\/7 - 52\/7*t = 0. Calculate t.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855484987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -648.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(15\/(1215\/(-63))).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/81816 and 99\/3940804.\nAnswer: 23644824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 1. Let r be 0*(-3)\/(-9) + -1. Let m(x) = 2*x**3 - 3 - 2*x**3 + 7*x**3 - x**3. Give r*m(o) - 3*z(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Let t = -224 + 2018\/9. What is the nearest to 1\/3 in c, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5405?\nAnswer: 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llv when three letters picked without replacement from {l: 4, v: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65125128 to the nearest integer?\nAnswer: 8070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42513.93 millennia?\nAnswer: 510167160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 15*z + 22. Calculate the remainder when 32 is divided by o(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1.9. Let v be (3 + (-32)\/12)*9 - -176. Let t = v - 182. What is the closest to x in -4, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*i = 50562 - 232806, -5*i + 121493 = 2*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + 683 - 185. Let o = 96 + q. What is the remainder when 20\/40 + (-226)\/(-4) is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - p + 202529, 2*o - 49821 = 3*p + 152728. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/6, 5, 205, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*b = -72*b - 4092. Let k = b + 178. Is k a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 10:58 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 + 8*p**3 - 10*p**2 - 4707*p - 1?\nAnswer: 40*p**3 + 48*p - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 1. Let d(w) be the second derivative of -2*w**3\/3 + 2*w**2 - 2*w - 2. Give d(f) - 5*n(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 55, 107, 177, 271, 395, 555, 757?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -101150?\nAnswer: -101230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2684 and -83\/14762.\nAnswer: 29524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 7:57 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3783508 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 974*x + 1011*x + 1013*x - 2996*x + 263.\nAnswer: 2*x + 263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -1, -5.34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*m = -2*m + 19, -5*o = -m - 31. What is the lowest common multiple of 4 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*l - 4*n, 5*l + n + 6 = -0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 768.36\nAnswer: 768.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022465 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*x - 7*x + 1314 - 270 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -176 in 1\/3, -1.4, -209.2?\nAnswer: -209.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 + 0*n + 2*n**3 - n - 7*n - 1 - n**3. What are the prime factors of u(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2\/11 (c) -0.087 (d) 2 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - (781\/12)\/11 and 47\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 31*k**2 + 21*k - 335. Calculate g(-32).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3135.\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus -0.49?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 e when three letters picked without replacement from {d: 1, e: 7, q: 5}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 4*g = 12*s + 20, 5*s + 2*g + 11 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**2\/7 + 55254*i\/7 = 0.\nAnswer: 0, 55254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 - 522 + 2*x**2 + 186 + 174.\nAnswer: 2*x**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434229562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**7\/112 + 3*v**6\/40 - 7*v**5\/32 + 3*v**4\/16 + v**3\/4 - 2*v**2 + 39. Solve s(w) = 0.\nAnswer: -1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1534736975 divided by -306947395?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*1*9\/18. Suppose -3*y = -k*y - 4. Suppose -y*b = q - 143, -5*q + 26 = b - 5. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 201*(3 + (-4)\/2). Suppose 15*c - 40 = 5*c. Suppose -57 = c*y - m. Does 34 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 842 = 887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:23 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 52. Differentiate 14*g - 4 - 5*g - x*g + 29*g**2 with respect to g.\nAnswer: 58*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4035 or -12101\/3?\nAnswer: -12101\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603.\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(3\/16) + (99 - (42 + 61)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 58*n**2 - 1015*n - 45. Determine a(14).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 2*t**2 + 4*t + 38. Let k be d(0). Calculate the greatest common divisor of k and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.086 * -14.6\nAnswer: 1.2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -466, -934, -1402, -1870, -2338, -2806?\nAnswer: -3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -26.7, 0 in descending order.\nAnswer: 0, -0.2, -26.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -82047*r + 1558885. Give g(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.5 + 0.5. Let f = -4 + 3. Let x = 13.6 - 14. Which is the closest to f? (a) y (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 30*u. Let h(j) = 9736*j. Determine h(r(g)).\nAnswer: 292080*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.113 times 0.06\nAnswer: -0.00678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25768437749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r - 1 + 1 + (3 + 0 - 5)*(-1 + 1 + 1)*(609 - 609 - 94*r).\nAnswer: 183*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -43?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201011 (base 3) to base 12.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 622 and 68?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3634*f - 3*f**2 + 3634*f + 4*f**3 + 3*f**2.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.54 + -0.41. Let t = -1.95000298 - a. Round t to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -o + 2*v, 37 = 4*o + 4*v - 11. What is the remainder when 57 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452 + 507 = 11*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 + 23*w**2 - 18*w - 81. Determine r(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ce (base 16) in base 9?\nAnswer: -3388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29\/6, 0.1, -667?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8596 - 8458. What is the remainder when 151 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 563 + -560. Suppose 2*c = -2 + 10. Solve i - 3 = c*t, t + t + u*i = 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -28?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2845474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0\/3)*(12 - 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 170\/425 - 8754\/(-15). Do 585 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1000? (a) 5\/3 (b) -0.4 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s**3 - 16*s**2 + 6*s + 9. Let t be m(-5). Let p = t - 17411\/21. What is the nearest to 0 in 4, p, -97, 2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + -97. Let r = 447 + -104. Let j = r + g. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11d0d5 (base 16) to base 4\nAnswer: 10131003111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44249277.\nAnswer: 3, 14749759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d + 1. Let b be -5*(6\/3 - 1). Calculate the remainder when ((-3752)\/(-112))\/((-4)\/(-8)) is divided by o(b).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -2\/21, -2, 0.4.\nAnswer: -2, -2\/21, 0.06, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 291803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9859930.\nAnswer: 2, 5, 985993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17568693 and 65691?\nAnswer: 158118237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 846858869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 1. Let r(x) = -117852*x + 10. Let v(d) = -r(d) - 2*s(d). Let h be v(6). Let j = h - 1197116. Round j to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818*i - 171 = 811*i + 18 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4616\/7685 + 1\/1537. Which is the third biggest value? (a) r (b) -5 (c) -1 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 5*r + 1425 = 0. Let f = 94 + r. Let o(u) = 1470*u**2 + u + 2. Is o(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 25.6. Let q = 3 - f. Put -3, q, 1\/9 in descending order.\nAnswer: q, 1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - g - 3. Let j(c) = -17 - 10*c**4 - 126*c - 227*c**2 - 62*c**3 + 0 - 9 + 83*c**2. Let y(i) = -j(i) - 2*w(i). Factor y(q).\nAnswer: 2*(q + 2)**3*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - u - 7. Let y(i) = -i**2 - 6. Calculate 3*y(r) - 2*z(r).\nAnswer: -r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 792158467 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - -7)\/((-5)\/(-90)*-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 24*q = 2*l - 24, 127 = 58*q - 55*q + 17*l for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 - 20*j**3 + 28*j**2 + 20*j - 24 = 0. Calculate j.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1\/2 + 9. Let l(d) = d**2 - 7*d - 5. Let y be l(p). What is the smallest common multiple of (-4)\/y*-9 + -2 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 34 = -4*c, -2*c - 3*c + 38 = 2*k. Is -25*(-111 - -2) + k\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58051.06l to millilitres.\nAnswer: 58051060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*b**3*l**4 - b**3*l - 12*b**2*l**5 - 2*b*l - 65 wrt l.\nAnswer: 1032*b**3*l**2 - 240*b**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 18. Let k(m) = -6*m + 4. Let v(r) = r - 1. Let s(o) = k(o) + 4*v(o). Determine s(n(c)).\nAnswer: -2*c + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*m - 676 + 2009 + 2651 = 0 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7796 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 3 + 3)*(40347*g - 165343 - 165341 + 330684) in the form q*g**2 + a + d*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 14 + 10*x to d + l*x and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -4\/511, -4\/5?\nAnswer: -4\/511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -172a7 (base 11) in base 4?\nAnswer: -11323331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -60, -33, 2 in decreasing order.\nAnswer: 4, 2, -4, -33, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/83?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2523 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/(-24))\/((-36)\/144).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 0*r**6 + 0*r**5 + 0*r**4 + 0*r + 5\/21*r**7 + 2 - 13*r**2 + 15\/2*r**3. What is the first derivative of u(g) wrt g?\nAnswer: 200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17515582 divided by -1.\nAnswer: 17515582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/73529702 and 131\/12.\nAnswer: 441178212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54372 - 12912. Is 60 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41102434 divided by -701?\nAnswer: -58634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = -0, 4*m - z = 1265. Calculate the remainder when m is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.8, -3\/7, 2\/5, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 194136 and 3494448.\nAnswer: 3494448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043995920 divided by 880?\nAnswer: 1186359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, z: 2, q: 6, p: 2, g: 1}. What is prob of picking 1 g, 1 z, and 2 q?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8887*n + 17756*n - 8869*n + 5*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.999983 + -9. What is d rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4528, -4538, -4552, -4570?\n\"Answer: -2*a**2 - 4*a - 4522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f + 10. Let k(x) = -x - 1. Let m(b) = -5*k(b) - s(b). Let i be m(11). Suppose -j = -i*j. Solve j = -o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -4\/5, -9892979, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 139813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26069\/6 + 4345. Let t = 0.32 - -0.08. What is the closest to 1\/3 in f, -5, 1\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-83)\/(-2) - 2\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = t - 26*i + 102 + 43, 82806*i - 42 = 4*t + 82804*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 387365*j**2 + 2*j + 1424362 wrt j?\nAnswer: 774730*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -32*x**3 - x**2 + x + 1. Give z(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*y - 11*y**3 - 1008*y + 405*y.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2635 divided by 6426.\nAnswer: -155\/378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2 + 6*(sqrt(1008) + 0 + 0 + sqrt(1008) - sqrt(1008)))*4)**2.\nAnswer: -2903360 + 23040*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4*w - 3*f - 72, -3*w - 123 = -3*f. Let r = 464 - 245. Let t = w + r. Is t a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 + -119?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 1\/3*b**3 + 13\/20*b**5 + 2\/3*b**4 - 1\/15*b**6 + 9 + 0*b**2 + 2*b. Find the third derivative of g(s) wrt s.\nAnswer: -48*s + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39 - 6 + 4 - 117*m**2 wrt m.\nAnswer: -234*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 7:35 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 4\/5, 8.2, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6901457ml in litres?\nAnswer: 0.0006901457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -605 + 1128. Let j = h - 265. List the prime factors of j.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 7*s**2 - s + 3. Let d be l(7). Suppose -3*a + 0*a - 12 = 0. Let c = d - a. Solve -2*b - 3*b - 15 = c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 260029, 520072, 780115, 1040158?\n\"Answer: 260043*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*i = 2*w + 27, -i - 15 = -2*w. Let x(u) = 21*u**3 - 1. Calculate the least common multiple of x(1) and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 1. Let c(z) = -7*z - 3. Let g(t) = -c(t) + w(t). Calculate g(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1 - 4 + 6*u**2 + u - u**3 - 4*u. Suppose 0 = g - b - 6 - 0, 4*g + 2*b - 18 = 0. What is the units digit of k(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2739 - -2779. Is -2 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - 3*m - 3. Determine v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = -0*d. Suppose 0 = -2*t - 7*r + 4*r + 154006, -d*r + 385004 = 5*t. Round t to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1 + (-16)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 13 + (-2 - -44) + -44?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/16)\/((-3)\/(-12)). Let q(j) = 7*j + 1 - 4*j**2 - 2*j + j**3 - 5. Let m be q(3). Solve 3*y - a = m*y - t, 0 = y - t - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - 1*(sqrt(13) + 1)) + -5 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, t: 5, f: 1, x: 1, i: 2, p: 1}. What is prob of sequence iifp?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*o - o + 0*o)*(2 + 1 - 2) - 33*o + 137 - 137 in the form p*o + i and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 48. Suppose o = -4*b - 105, 0 = 5*b - u*o - 63 + 204. Round b to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -91. Let j = d + -29. What is the greatest common divisor of 32 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212168 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**5\/60 - 13*s**4\/24 - 7*s**3\/6 + s**2. Let q be d(-7). Suppose q = 4*p + 7. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, w: 1, l: 1, d: 1, x: 2}. What is prob of sequence wl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 292.57 + -282. Let r = 11 - g. Let l = 0.4299959 - r. What is l rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*g - 5 = -3*g, 2*g - 5 = l. Suppose -5*x = -0 - l. What is the units digit of 4*1 - x\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*c - 2885 = -28*c - 701 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2850 + -2852. Which is the third smallest value? (a) 0.286 (b) -0.5 (c) z (d) -2\/11 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -7. Solve 4*p - 8*p = x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - w - 1. Let t(c) = -6*c**2 - 19*c - 1. Let n be t(-3). Suppose -n*l + 2*k = 0, 20*l - k + 10 = 24*l. Give z(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.623884 days in microseconds?\nAnswer: 658703577600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.3, -5, -4, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4338 and 336.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.02, -4, 8 in ascending order.\nAnswer: -4, -0.02, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 3, l: 7}. Give prob of picking 3 l.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(224) + (sqrt(224) - sqrt(224)*-4*-2))\/sqrt(8))\/(((-4*sqrt(36))\/sqrt(9) + sqrt(4))*5).\nAnswer: 2*sqrt(7)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 3, 4\/7, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -8*v**2 - 11*v + 34. Let b be i(-1). Solve 2*u - u + 5 = h, 5*u - b = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79232, -316378, -711630, -1264994, -1976476, -2846082, -3873818?\nAnswer: -5059690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -19 + 1106 + -1078 + -36\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -26*g**2. Let x(c) = 2*c - 1. Determine r(x(y)).\nAnswer: -104*y**2 + 104*y - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4336906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 11 + 19 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 1054937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 437793.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121.5 - -688.5. Let x = a + -566.7. Let n be (10\/4)\/(1\/2). Put n, x, -2 in increasing order.\nAnswer: -2, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-42)*((-1309)\/(-34))\/(-11)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 660 and 148236.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 926956 to the power of 1\/2, to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2.06137 * -0.3\nAnswer: -0.618411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102006, -4, -2, 27 in increasing order.\nAnswer: -4, -2, 27, 102006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 23*m - 4. Let p = -39 + 22. Let j(n) = -8*n + 1. Let i(k) = p*j(k) - 6*f(k). Suppose -46*z + 96 - 65 = -199. Give i(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*v + 45, f - 19 = -0*f - 2*v. Let q = f - 16. Solve l - 4 = q*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 110?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k - 799 - 799 - 806 + 22*k + 2404.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588793683.\nAnswer: 3, 1721, 114041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1920*f - 38761 = 57818 + 10941 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Let y = 0 + a. Suppose 0 = -g - y*g. Put -5, g, -4 in decreasing order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 67*k + 35. What is the units digit of c(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 621*f - 642*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 17. Give q(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1652021?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 71*i + 3515. Does 75 divide v(-85)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 28*h**2 - 19*h - 1. Let j(q) = q**2 - 5*q. Give 4*j(n) - t(n).\nAnswer: -24*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 4. Let p be (c\/(-5)*4)\/((-42)\/7875). Round p to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095526 to the power of 1\/2, to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -15*y**2 + 25*y + 10. Let o(k) be the first derivative of -k**3\/3 + k - 46. Let n(d) = -f(d) + 10*o(d). Factor n(b).\nAnswer: 5*b*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 361, 544, 727, 910, 1093?\nAnswer: 1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*t**2 - 1008*t**2 + 74*t**3 + 329*t**2 + 348*t**2 + 45*t**3.\nAnswer: 119*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5389906233?\nAnswer: 3, 31, 57955981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*h**4*x**2 - 11382996*h**3*v*x + 2*h**2 + h*v*x**2 - 2564*h*v*x + 13*x**2 wrt h?\nAnswer: 312*h*x**2 - 68297976*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6 + 0*k**3 + 6*k**2 + k**3 + 4*k - 2*k. What is p(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3554 + 20032. Is n a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 + -119 - (-11 - 24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/14377770 and 97\/2068.\nAnswer: 28755540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12, 1\/3, 1709, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -413941*y**3 + 223130*y**2 wrt y.\nAnswer: -2483646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h. Let k(d) = -268 + 268 - 12*d. Calculate -11*i(z) - 4*k(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stnz when four letters picked without replacement from znnstzvosznvvnnnn.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i = -2*i. Suppose 2*u + 0*f - 197 = f, 2*u + 4*f - 182 = i. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465\/9 - (-36)\/108?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14377 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*j - 9*j + 13*j)*(4 - 22 - 2) - 4*j - 3*j + 2*j in the form y*j + d and give y.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 1. Let n(f) = -f**2 + 3*f + 26. What is -n(v) + 4*w(v)?\nAnswer: v**2 + v - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*c + 136, 2*c - 4*z - 75 = 65. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13c46 (base 15) in base 14?\nAnswer: 1920c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/12 + 2*v**2 - v - 108. Let d(k) = 2*k - 50. Let t be d(24). Let i(c) = c**2 + 9. Calculate t*i(y) + 5*u(y).\nAnswer: 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 7*q + 3. Calculate the remainder when 31 is divided by u(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = 30*y - 19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 + 2.44. Let t be 296\/(-1008) + 15\/210. What is the nearest to 1 in m, -0.4, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 24*u**2 - 4*u - 9. Let l(c) = c**2 - c - 1. Give 6*l(v) - x(v).\nAnswer: -18*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -10. Let w be 2\/9 - (-7200002)\/c. What is w rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7747386 is divided by 205.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10943394*t**2. Let j(l) = -4*l**2. Determine k(j(u)).\nAnswer: -175094304*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3234819 (base 11) to base 6.\nAnswer: 321520444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16842 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 833167, 833165, 833163, 833161?\n\"Answer: -2*j + 833169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 119 - 85 = -t, v = -t - 51. Let p = -5 - v. Suppose 16 = -3*u + p. Calculate the smallest common multiple of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-202)\/(-6) + (-10)\/15. Suppose 74 = 25*v - 27*v. Let x = v - -92. What is the highest common factor of w and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.17 and 6928078.98?\nAnswer: 6928079.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -130, -159, -150, -91?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 1}. What is prob of sequence ee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3.78854031192 + -3.72\nAnswer: -7.50854031192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41273752 divided by 52?\nAnswer: -793726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2609 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19902877, -19902870, -19902859, -19902844, -19902825?\nAnswer: -19902802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/660)\/(-4 - (-25)\/6). What is the second smallest value in -74, l, -1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {v: 11, q: 6, u: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5900*i**2 + 2951*i**2 + 2951*i**2 - 1579*i as g + y*i + a*i**2 and give y.\nAnswer: -1579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.2? (a) 2 (b) 1 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*v + 68, -2*n = 5*v - 2 + 10. Let b(k) = 10762796 - 3*k**3 + 17*k + k**3 - 10762761 - 16*k**2. Is b(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -48*t**3 - 50 - 44*t**3 + 20*t**2 - 57*t + 135*t**3 - 42*t**3. What are the prime factors of b(-22)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13312 (base 6) to base 5.\nAnswer: 31220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyyuuuttuu. What is prob of sequence tyut?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((((sqrt(144) - (sqrt(144) + (sqrt(144) + -1*sqrt(144) - sqrt(144)) - sqrt(144)))\/sqrt(8))\/sqrt(6))**2 + (-2*sqrt(144))\/sqrt(3) + -4).\nAnswer: -32 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4128 - 1629 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 413345 and 218695.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 0, 28, 0.3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*j**3*s**3 - 5*j**3*s**2 - 47*j**2*s**3*t + 264*j**2*s**2*t - j**2*s*t wrt s.\nAnswer: -156*j**3 - 282*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 3387.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 - (-4 + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w**3 - 5*w**2 - 7*w + 6. Let f(m) = -m**3 + m**2 - 1. Determine -6*f(q) - r(q).\nAnswer: -2*q**3 - q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00578 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 5*m**2 - m + 2. Suppose -2*j - 4*d = -22, -5 = 5*j - 3*d - 8. What is v(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from ccuucucucicsv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 777*b**2 - 929*b**2 - 2044*b**2 as y*b + n*b**2 + u and give n.\nAnswer: -2196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 667472 = 4*z - 2103481, 2*z - 3*f = 718009. What is z rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1260 divided by -3.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -324542 + 324544.46201. Let f = -248 + 250.46. Let k = f - a. Round k to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -812788 + 0?\nAnswer: -812788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(-12)\/o)))\/(o**8*o))\/(o*((o*o*o\/o**(-2\/27))\/o)\/o*o*o\/o**14) assuming o is positive.\nAnswer: o**(-326\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7232 times -0.07?\nAnswer: -506.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1386, -1368, -1464, -1674, -1998, -2436, -2988?\nAnswer: -3654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbyw. What is prob of sequence yyb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a - 34. Let h be k(-7). Let m(y) = -2*y. What is m(h)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.00273 + -0.10718. Round w to 3 decimal places.\nAnswer: -0.104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*v + 0*v - 2*v**2)*(11*v**3 - 5*v**2 + 5*v**2).\nAnswer: -22*v**5 + 22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 12 = 21*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -262*g**3 + 14*g - 82 wrt g?\nAnswer: -1572*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9249 + -0.98. Let t = z - 1.96. Round t to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*z - y - 1, -3*z + y = -3. Let d(u) = 3*u**2 + 2*u - 1. Let x be d(z). Suppose 67 + 1 = x*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d**3 + d. Let i be g(-1). Let s be (-506)\/i - (-6)\/(-15). Calculate the common denominator of (-359)\/40 + s\/(-85) and 27\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48153343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*t, t + 4 = 1. Suppose -3*l = w - 10 - v, 3*w = 4*l. Solve -p = -w*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -15108?\nAnswer: 11\/7554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 0 + (7 + -7 - -3). What is the remainder when 198 is divided by (-300)\/(-135)*45\/f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 873 and 781 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.77833 to one decimal place.\nAnswer: 90.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(p - 3 + 3)*(-p**2 + 0*p**2 + 7*p**2) as a*p**2 + c*p + x*p**3 + t and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -2. Let m = x - -47. Calculate the highest common divisor of 40 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((y - y - 2*y)*(-2 - 1 + 2) + (2 - 4 + 4)*(-2*y + 0*y + y) + 118*y + 64*y + 26*y)*(-y - 6*y + 2*y) as b*y + p*y**2 + r and give p.\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24803, 10524, -3755, -18034, -32313?\nAnswer: -46592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 2*f + 2, -3*u - 10*f + 29 = -5*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.0264 + -0.0264. Which is the closest to -0.1? (a) y (b) -2 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 4*n + 10. What is the remainder when b(4) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2, -341.\nAnswer: -341, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 + -113. Suppose -h + 11 = -0*h. Let p = l + h. Solve 2*y - 7*y = p*q - 15, -4*y = -5*q + 29 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 9*i**2 + 2. Let v be f(9). Suppose -6 = -v*q + 4. Suppose w + q*a = -5 + 3, 4*a = -3*w + 16. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 10*l**2 - 17*l - 8. Let h = -4 + 26. Let p = h + -2. What is the least common multiple of a(7) and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62591 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -115. Let s be u\/10 - 10\/25. Solve s*z = 4*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -2*f**7\/315 - 2*f**6\/45 - f**5\/15 - f**2 + 10. Find v, given that j(v) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/153)\/(32\/96)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -1.1304.\nAnswer: 0.7304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4260 - 126 - 4460 + 2250 = 194*z for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/22)\/(194\/96 + -2). Suppose -114*o = -117*o - i. Calculate the remainder when 153*(o\/(-6) + (-3)\/9) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -2183*l**4\/24 - 1213*l**3\/2 - 6*l**2 + 36. What is the derivative of a(u) wrt u?\nAnswer: -2183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 2*s + 251141*s**2 + 251133*s**2 - 502275*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5380 and 12105?\nAnswer: 48420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -14*u + 8. Let z be n(1). Calculate the common denominator of 32\/95 and z\/((-144)\/42)*(-243)\/105.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**5\/30 + 4*w**2 + 67*w. Let s(t) = 135*t + 6. Let y(f) = -1485*f - 65. Let m(d) = -65*s(d) - 6*y(d). Determine m(u(v)).\nAnswer: -270*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 161, 166, 171?\n\"Answer: 5*r + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -890386 in increasing order.\nAnswer: -890386, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*t + 54 = -147*t. Sort 20, 7, 10, t.\nAnswer: t, 7, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 4. Calculate d(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141097?\nAnswer: 11, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2332 + 3?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 781 = 5*p - 817, -2*k + 42 = 4*p for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -347?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - ((-19 - -45 - 58) + 16)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 3*x**2 + x. Let t(o) = 5*o**3 - 15*o**2 + 6*o + 1. Let c = 487 + -491. Let s(w) = c*i(w) + t(w). Give s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 17, 22?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 10291753144980?\nAnswer: -10291753144980.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/50, 8.7 in increasing order.\nAnswer: 3\/50, 5, 8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wftj when four letters picked without replacement from yjtjffvjjjjjywjtwfjw?\nAnswer: 9\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6.14. Let a = o - 0.16. What is the second smallest value in -1\/3, 1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (42\/21 + -3)*(-11 - -14). Let s(i) = 2*i**2 + 9*i - 5. Let m(z) = z**2 - 4*z - 5. Let q be m(6). Let n(o) = o**2 + 4*o - 2. Determine d*s(g) + q*n(g).\nAnswer: g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0 + (1 - 4 + 4)*(-3 + 5 - 1) + 1 + 1 + 0)*(350 - 350 + 192*z).\nAnswer: 192*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3*3*-3. Suppose 2*v + c*v = 0. Let k be (-1 + 1 + -2)*-2. Sort v, k, -2.\nAnswer: -2, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -743808, -1487606, -2231404, -2975202, -3719000, -4462798?\n\"Answer: -743798*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3275\/6 or 545?\nAnswer: 3275\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(448) + 1.\nAnswer: -1 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 41*c**3 + 8*c**2 - 7*c + 14. Let u(i) = -29*i**3 - 5*i**2 + 5*i - 9. Give -5*t(z) - 7*u(z).\nAnswer: -2*z**3 - 5*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -715 - 300\/(-60). Let y = o + 1305. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -31\/24*p**4 + 0 - 3*p**2 + 0*p + 1\/24*p**6 + 0*p**5 + 0*p**3. What is the second derivative of t(k) wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000051222 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -227235165*m + 40*m**2 + 227235195*m + 2 - 11*m**2 to the form b + i*m + t*m**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1886 + -10485?\nAnswer: -96aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0.4 (b) -0.3 (c) 3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000115 rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 9*w + 9. Determine b(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.60058 and 5.81?\nAnswer: 6.41058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 6 - 246 = 11*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 36 - 2*r**3 - 36 - 37 + 0*r**3 - 233*r**2 + 108 in the form u*r**2 + s + x*r**3 + n*r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 divided by 46?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*b + 6757, 0 = -3*v - 2*b - b + 5088. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201\/6935 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*x = -60, 2*x = -4*c + 433 - 137. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voo when three letters picked without replacement from {a: 1, v: 2, p: 4, o: 1, l: 1, w: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -a420 (base 12) to base 10\nAnswer: -17880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y. Let m(j) = 12*j + 11*j - 13*j + 2*j. Give m(q(d)).\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -4*g + 24, -3*k + 26 = 22*g - 18*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13670000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 23*h**2 + 9*h. Let q be 12*(-24)\/32 - -31. Is 9 a factor of r(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1961058 divided by -1419.\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 45*r**4 - 2127*r**3 + 537*r**2 + 1263*r + 282 = 0.\nAnswer: -2\/5, -1\/3, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4979 - -4985. What is the lowest common multiple of 306 and v?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.700000095 + -11.7. What is n rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16\/379 - -29877\/1516. What is the common denominator of -29\/13 and f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1)*(-10 + 21)\/110\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8 = t, -s + 4*s - 3*t + 6 = 0. Let x be (-1)\/(s\/(-3)) - -2. Solve 0 = 4*q - u, x*q - 5*u + u + 11 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 + (-10505)\/220)\/((-63)\/(-36)).\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 800 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/220 and -41\/1645402.\nAnswer: 16454020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 1 - 5)*(5 + 1 - 4) + 3 + 0 + 0)*(6*l - 4*l - 3*l)*((1 + 0 + 1)*(0*l + 0*l - 2*l) - 3 + l + 3).\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7962 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.367476 rounded to one dp?\nAnswer: 20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*k**3*o - 2*g*k**3*u - 2*g*k**2*o*u + 443*g*k*o + 2*g*u + 413*k**3*u with respect to o.\nAnswer: g*k**3 - 2*g*k**2*u + 443*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1. Let v(w) = 4*w**2 - w. Let d be v(s). What is the remainder when 16 is divided by 1 - 1 - (d + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 254803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(672)*2)\/(sqrt(48)*-3))\/((sqrt(384)\/(sqrt(12) + sqrt(300)))\/sqrt(4)*5).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16881 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.2643 to one dp.\nAnswer: 64.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2168*h = 1478 + 9362 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -562785 - -2?\nAnswer: -562783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 0.5, 4526.\nAnswer: 0, 0.5, 1, 4526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5832 and 21465.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 60, 1\/3, 3\/8, -2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51842353 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 33124*p**3 - 19*p**2 + 10*p - 7. Let o be m(3). What is o rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052\/951 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 31. Let t be o(-9). Suppose t*d = 2*d - 16545. Let w = d + 2285. What is w rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204300\/3150 - 30\/35?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 0*o + 4*o + (o + 2 - 2)*(-3 + 2 + 0))*(-16*o - 8*o + 23*o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 7*k**2 - 6*k + 6. Let q be y(-6). Suppose -1 = 4*r - 5. Let f be ((r - 1)\/2)\/(-2). Solve -3*t + h - 13 = f, -q = t - h - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*w = 257*w + 2*h - 2, -2*w = -h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 114, 224, 332, 438?\n\"Answer: -o**2 + 113*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.019*-0.165538.\nAnswer: -0.003145222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 + 259*c\/3.\nAnswer: c*(c + 259)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -15*y**3 + 2*y**2 - y - 5. Let c(v) = 30*v**3 - 5*v**2 + 2*v + 11. Calculate -3*c(o) - 7*z(o).\nAnswer: 15*o**3 + o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 172*t + 0 = 53*t + 490 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2. Let d(h) = -h**2 + 3*h + 12. Let b be (-3)\/(-18) + (-29)\/(-6). Let c be d(b). Let n(z) = -4*z + 4*z**c + 4*z - 9*z**2. Calculate n(g(t)).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 divided by 22.\nAnswer: -49\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose 4*f = 17*f - 78. Is f greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - r = -8*q - 35, r + 1 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p - 21. Let j be u(-5). Let o be (-87)\/145*j\/(-6). Suppose -w + 12 = 2*w. Which is the third biggest value? (a) w (b) -3\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19684 = 9*u + 19*u. Calculate the highest common divisor of u and 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*w - 6 + 15 = 0, -8 = 2*t - 2*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54756544 a multiple of 3152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(8\/5))**(-1\/34) assuming f is positive.\nAnswer: f**(-4\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -106. Let f(t) = 12*t - 33. Let q be f(19). Let m be (-2)\/(3\/(q\/(-10))). What is the greatest common factor of c and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1424556?\nAnswer: 2, 3, 7, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5964 and 238?\nAnswer: 101388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(0 - 2) - 3. List the prime factors of 167\/11 + c\/22.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 0*b + 62540*b**2 + 3*b + 62805*b**2 - 125290*b**2.\nAnswer: 55*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 223 + 209. Let w be (i - -1)*5\/(-2). Let c = w + 188. Is 7 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 3*p**2 + 6*p + 2. What is j(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -22 - 6 - (15 - 5))*170\/(-5)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 716*p**5 - p**4 + 47*p?\nAnswer: 14320*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -191, -364, -519, -650, -751, -816, -839, -814?\n\"Answer: a**3 + 3*a**2 - 189*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*m**2 + 2*m**2 - 2*m**2 + 344*m**3 - 340*m**3 - 2 - 2*m to the form c*m**3 + j*m**2 + i*m + u and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 3, -198, 0.16, -2\/11, 97?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*x - 228. Let l = 29 - x. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 21*c + 2 as m*c + p and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -38*f + 43. Suppose 37 = -2*u - 2*d + 9, 3*d + 66 = -5*u. Is a(u) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 10066*b**2 - 100842*b - 90774.\nAnswer: 2*(b - 5043)*(b + 1)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -481\/6 + 81. Let i = 144.02 + -146. Let x = i + -0.02. Which is the nearest to x? (a) -1\/4 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 93*u\/2.\nAnswer: -u*(u - 93)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*n - 29 = 7*n, 0 = 5*t + 3*n + 10. Let w(o) = 3*o - 1. Suppose -5*f = -4*f - 4. Let p be w(f). Sort t, 0, p.\nAnswer: 0, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 + 3*f. Let a(z) = -22 - 8*z + 141*z**2 + 22 - 154*z**2. Let t(m) = 3*a(m) + 8*n(m). Let u(k) = -6*k**2 - 3*k**2 + 3*k**2. Give u(t(d)).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 77\/(-2) + (-2)\/(-4). Let v be (-5 + -13)*2 + (10 - 7). Let x = v - r. Solve 2*q + x = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*(6 + ((-21015)\/(-100))\/1). Let m = i - -181931\/105. Calculate the common denominator of m and 79\/51.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m + 39. Let f be y(5). Suppose 0 = 9*b + 18 + f. Put 5, 0, b, 3 in decreasing order.\nAnswer: 5, 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3662, -0.345, 0.1, 1\/3?\nAnswer: -0.345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 460\/(-8)*-1*2. Let m = 285 - q. Calculate the common denominator of 73\/3 and m\/15 - 1\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*a. Suppose 2*v = s + 9, a*s - 6*s - 2*v + 14 = 0. Sort -5, 3, s in decreasing order.\nAnswer: 3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2702*h**2 - 2040*h**2 + 1 + (5*h + 3*h - 3*h)*(h + h + 0*h).\nAnswer: 672*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1))**(-10))**(-30)\/((p\/(p**4\/p*p))\/p**(4\/3))**48 assuming p is positive.\nAnswer: p**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*v - 60. Is (5 - v)\/(((-81)\/(-43893))\/9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 40, -1 in decreasing order.\nAnswer: 40, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 k when four letters picked without replacement from tkzkztkkz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4*5\/(-5) + 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12949089)\/(-741) - (-6)\/(-39)?\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, 106, 239, 426, 667, 962?\n\"Answer: 27*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 - (-32 + 48)) + -30.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543, 501, 447, 375, 279, 153?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -880.1 - -818. What is b rounded to the nearest integer?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004908 to 7 dps.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 4:43 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 51 (b) 79\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**4\/4 - y**3\/3 - 44. Calculate l(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 845971 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88613828663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 549\/26 + 31\/13. Let z = 25 - n. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.9940857 to the nearest integer.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfpgfgjs. What is prob of sequence gf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048474361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w - 7*w + w + 2*w**4 - 2 + 12*w in the form v*w + u*w**3 + r*w**4 + x*w**2 + a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 9\/2 (b) 3 (c) 8 (d) -0.3 (e) -0.5 (f) -2\/3 (g) 1\/23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/12)\/m*m*m**0*(m**(-2\/15)\/m)\/m**3 assuming m is positive.\nAnswer: m**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101010 - 110?\nAnswer: -10000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.182 and -8?\nAnswer: 1.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3114\/2825 + 28\/25. Is b greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*o + 504 = -636. Let g(v) = -19*v - 223. Determine g(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22\/(-4))\/((-3)\/(-30)). Let r = -38 - j. Solve 4*y - r = -3*h, -19 = -2*y - 2*h - 3*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - 4*f + 48*f + 12*f - 52*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 1. Let p be m(1). Let v = -4 - -11. Let g = -6.9 + v. Sort g, p, 0.2 in descending order.\nAnswer: 0.2, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 40 = -5*h - 30, 0 = 3*h + 3*o - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*d - 5*u, 0 = -5*d + 3*u - 9 + 23. What is the remainder when 13 is divided by d\/(-1)*(-9 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/28 + 149\/84. Sort -4\/3, d, -2\/3 in ascending order.\nAnswer: -4\/3, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 36 = 2*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sll when three letters picked without replacement from {s: 3, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1\/6 (c) -313208.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14204105 (base 6) in base 11?\nAnswer: 2aa997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16632899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 - 1.4. Let f = o - 1.4. Let h = f + 1.4. Which is smaller: h or 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 33*r**2 - 69*r + 80. Is n(-33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/(((w*w\/(w**(-6)*w))\/w*w)\/w)*w)\/w)\/w)\/w)**(-4\/3)\/(w\/(w*w\/(w*w**15\/w*w)))**(-6) assuming w is positive.\nAnswer: w**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 36. Which is the nearest to -1? (a) 2\/5 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -127997*f - 45. Let d be o(15). What is d rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p*p**35))*p*(p*p**(-5))\/p*p*p**13*p*p*p**(-4\/7) assuming p is positive.\nAnswer: p**(332\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3\/3 - 4*i**2\/3 + 26*i\/3 - 20\/3 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*l**2*o**3 + 2*l**2*v**3 + 12*l*o**2 + 5*l*v**3 - 3*o**3*v**3 - o**3*v**2 wrt o.\nAnswer: 42*l**2 - 18*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4)*(-9)\/216*6)\/1\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 4*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 532.64565 and -0.3.\nAnswer: 532.34565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - 21155121?\nAnswer: -21155101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a62 (base 12) in base 9?\nAnswer: 54432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 9, 12, 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.46 - -0.26. Let g = z + 0.8. Let k = 0.588 - g. What is k rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from jiijjjij?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4692*k - 3663*k + 1406*k. Let t(w) = w**2. Calculate f(t(g)).\nAnswer: -6949*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1528 + 1494 = -17*w. Let h(o) = -o - 5. Let m be h(-4). Let i be (-15)\/9*(-4 - m). Calculate the highest common factor of i and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n - 39 + 69 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*o. Let z(n) = n**3 + 22. Is z(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*x + 3442 - 919 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27267?\nAnswer: 3, 61, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4230374 is divided by 1112?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52.1 - 57.1. Let a = 13 - 9. Suppose 0 = p + 3*p + 3*k, -a*p + k = 0. Which is bigger: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2852559733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 2:25 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:52 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) + (sqrt(704)*5)**2).\nAnswer: sqrt(11) + 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 3*b**2 + b - 4. Let w be -2 - (-2 + (0 - 2)). Let a be (-1)\/w - (-9)\/2. What is the least common multiple of 8 and x(a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1048336 - -2.63396292\nAnswer: 1048338.63396292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*s**4 - 353*a*s**3 + 4*a*s**2*y + 10*a*s*y + 455*s**5*y - 622*y wrt s?\nAnswer: 24*a*s - 2118*a + 27300*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285\/91 - -23\/7. Do h and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-52)\/143*-11.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0*d)\/d*d)\/d)\/((d*d*d*d*d*d*d**(-3)*d*d)\/d*d)*d**(-2\/59)*(d**3*d\/(d*d*d**2\/d*d))**(-7) assuming d is positive.\nAnswer: d**(-297\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - sqrt(1700)*3)*4 + sqrt(1700) + 2*2*sqrt(833))**2.\nAnswer: 29988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 2*o - 1. Let g be (-2)\/(((-6)\/9)\/1). Let z be u(g). Put 0, z, 1 in ascending order.\nAnswer: 0, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 6, t: 1, y: 7}. What is prob of picking 1 t and 1 j?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Suppose 2*k = -r*k + 52. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 904 + -902. Let p(d) = d**3 - 3*d**2 + 2. Let k be p(3). What is the greatest common divisor of u and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467686 is divided by 93535?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 92459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p + 2*s = 13455, 2*s = 2*p - 8980. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)*1)\/sqrt(11) + (sqrt(243) - -2*(3 + sqrt(243))).\nAnswer: 6 + 31*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*p - 29 = 0, -3*r - p + 19 + 6 = 0. Solve 0*f + r = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21003, -21065, -21169, -21315, -21503?\n\"Answer: -21*b**2 + b - 20983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108.95 or 2\/5?\nAnswer: -108.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.1 (c) 51 (d) 5.84 (e) 201\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 5:18 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*j**2 + 0*j**3 + 0*j**4 - 1\/8*j**5 + 0*j + 0 = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*v + 4, -5*v = 10 - 0. Let q = c - -3. Suppose -q*h + 0*h = -t - 40, -2*t = 3*h - 46. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 24 = -3*c - 5*v, -5*v = 2*c + 28. Let k(j) = j**2 + j - 4. Let b be k(c). What is the highest common divisor of b and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Let t = g + 3. Solve t*v = -1 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1722 - 133?\nAnswer: -1855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 16 = 58*b - 62*b, 0 = -x - 3*b + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 n, and 1 x when four letters picked without replacement from {k: 5, q: 4, n: 1, x: 3, t: 1, e: 3}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, w: 1, e: 3, s: 3}. What is prob of picking 1 w, 1 s, and 2 e?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 12*s - 9. Let j(v) = -2*v**3 - 4*v**2 - 8*v - 4. Calculate the remainder when j(s) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(12 - -2)\/(-56)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833426 is divided by 84.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 - 8*b - 1. Let v(x) = 3*x**2 + 7*x. Give 2*g(o) + 3*v(o).\nAnswer: o**2 + 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:57 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 4. Determine w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 119 = -11. Let q = i + -18. Calculate the lowest common multiple of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -498*p - 22. Let h(o) = o**2. What is b(h(v))?\nAnswer: -498*v**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 0 - (150 + -115).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 11*l - 8. Determine o(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1235 and 285.\nAnswer: 3705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 168902861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1944)*-1 + sqrt(1944) + 2*sqrt(1944)*2)\/((sqrt(96)\/sqrt(6))\/sqrt(2) + (sqrt(8) - sqrt(72)*2)).\nAnswer: -9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**4 - 3*t**3 - 3*t**2 - 8*t. Let d(u) = -3*u**4 + 2*u**3 + 4*u**2 + 8*u + 1. Let l(h) = -6*d(h) - 4*v(h). Factor l(b).\nAnswer: 2*(b - 3)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4002 + 5629. List the prime factors of d.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 39*a**2 + 1200*a - 5568.\nAnswer: -3*(a - 8)**2*(a + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3\/3)\/(7\/1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 115360080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 202830 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 1, r = -5*p + 8*p + 4. Put 5, r, -0.15 in increasing order.\nAnswer: -0.15, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 3. Suppose 0 = -0*l - 2*l - 5*g - 82, 123 = -3*l + 3*g. Let v = l - -96. Let z(k) = v - 129 + 16*k + 58. Give 22*a(q) - 4*z(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000065769 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 455?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + 7*o - 4*o**3 + 10*o**2 - 14 + 6*o**3 + o**3. Let t be d(-9). Sort t, -11, 2, -3 in increasing order.\nAnswer: -11, -3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 5:57 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*y + 4*t, 3*y - 57 = -2*t - 50 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2463 is divided by 588?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/594 and -67\/20?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12*9479\nAnswer: -113748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1284.1294 to one decimal place.\nAnswer: -1284.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 229 + -226. Solve 2*y = -2*j - y + 13, -j - n*y = -11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 143808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -115, -151, -169, -163, -127?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2328*d + 23158. Give m(10).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3\/9)\/((-1)\/(-666))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**3 + 3*m**2 + 4*m - 1. Let n(g) = -7*g**3 + 2*g**2 + 3*g. What is 2*l(d) - 3*n(d)?\nAnswer: 9*d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 8. Let q = n - 10. Which is the nearest to q? (a) 2 (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01797886 rounded to four decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*o, 4*f - o = 2*f + 13. Let l be (-3)\/15 - f\/(-20). Suppose 4*p - 3*p - 26 = l. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31280 * -1\nAnswer: 31280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 15 = -3*v, -v + 3*b + 4 = -2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1579 + 1583. Let a(i) = 9*i**3 - 4*i. Let w(v) be the first derivative of 17*v**4\/4 - 7*v**2\/2 - 2. What is f*w(n) - 7*a(n)?\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -88\/3*q**3 - 48*q - 16\/3*q**4 + 0 - 64*q**2 - 1\/3*q**5 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2478, -4857, -7620, -10767, -14298, -18213, -22512?\n\"Answer: -192*o**2 - 1803*o - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(6*p + 34*p + 185*p)*(-2*p**2 + 4*p**2 - p**2).\nAnswer: -225*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 460 - 206. Solve 115*o**2 + 5*o**4 + 114*o**2 - j*o**2 + 20 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3260*a**5 + 62*a**3 + 18908457*a.\nAnswer: -65200*a**3 + 372*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niqqnqqqnqnqqi. Give prob of sequence iqq.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 - 69. Let k be -8*(14\/(-21))\/(4\/(-3)). Let q = p + k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-3))\/(1\/3). Let r = 5 - 4.987. Let s = r - 0.113. What is the second biggest value in 3, h, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14380, 14387, 14396, 14407?\n\"Answer: b**2 + 4*b + 14375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 47*j + 384. Let s be f(-11). Let p(t) = -2*t - 29. Give p(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 471\/13 + -2793\/104. Let p = -11620\/601 - -2\/1803. Find the common denominator of p and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -35*l. Let c(h) = h - 2. Give c(z(d)).\nAnswer: -35*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-129804)\/(-78) - 7 - (-4)\/(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 116356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (15 + -30)*-999 - -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*k - 2 = 0, -153*r + 151*r - 7 = 3*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Let i be c\/7 + (-36)\/(-21). Suppose d - 3*t = 4*d - 9, 2*d = 2*t + i. What is the remainder when 5 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2. Let a(w) = 5*w - 263 + 142 + 121. Calculate a(h(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -250079.0167 to the nearest ten.\nAnswer: -250080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, 4\/5, -2\/7, 18, -10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-127*l**4 + 56282*l**2 - 56282*l**2 + 1)*(-2 + 4 - 1) to the form j*l**2 + g*l + m*l**3 + n*l**4 + t and give n.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*x - 0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636156217?\nAnswer: 269, 439, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70744*d**5 + 7025*d**2 - 6?\nAnswer: 4244640*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5421, -6810, -8199?\n\"Answer: -1389*v - 4032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/514968 and -83\/5988.\nAnswer: 514968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33704, -33767, -33830?\nAnswer: -33893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q - 4. Suppose -11*l + 8*l - p - 6 = 0, 4*p - 9 = -l. Let c be (-8)\/((l - 3)\/(-3)). Let w(x) = -x + 1. Let h be 6\/4*(-2)\/3. Give c*w(b) + h*r(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**3 - 3*b - 517. Let j(c) = 7*c**3 - 4*c - 518. What is -3*j(w) + 4*o(w)?\nAnswer: -w**3 - 514","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {o: 1, b: 1, w: 1, i: 1, a: 1, t: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, p: 2, f: 9, o: 4}. What is prob of picking 1 o, 1 m, and 2 f?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 1)*5)**2 + -4 - sqrt(170)\/((sqrt(100)*-2)\/sqrt(10)).\nAnswer: 101*sqrt(17)\/2 + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5, -2*j - 4 = 5*l + 2*j. Let z be 1*3 + (10 - 8). Suppose 0 = -3*i - 2*n - 0*n + 5, -4*i - 3*n + z = 0. Solve l = -i*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*u**2 - 304*u**2 - u**2.\nAnswer: -359*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 98570649 a multiple of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 5*v - 2*l - 6, -v - 4*l - 12 = 0. Let s(k) = k**3 - k**2 - 5. What is s(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(0 + 2*o + 0) + 5 + 3*o - 5)*(2*o**3 - 4*o**2 + 4*o**2) + (-1 + 1 + 3)*(-33*o**2 - 10*o**4 + 33*o**2).\nAnswer: -28*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -5, 1 in descending order.\nAnswer: 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2\/5, 1\/2, 0.402?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 343\/28 - 3\/12. Solve -q = -3*h, 0*j - 2 = 2*j + h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 42\/13 (b) -2 (c) -5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggcg when four letters picked without replacement from ccgcccmccccgcccccgcc?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*j - 104, -j - 3 = -4*j. Suppose 5*a + 0*a = -205. Let f = a - z. Is f not equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55, 209, 365, 523, 683, 845, 1009?\n\"Answer: h**2 + 151*h - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -364 - -377.2. Let o = p - 13.19999956. What is o rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 8*l - 8*l)*(5*l - 41*l + 8*l)*(2 - 2 - 2*l).\nAnswer: 112*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7010, -14964, -22914, -30854, -38778, -46680, -54554?\nAnswer: -62394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 10953, 6, -0.6 in descending order.\nAnswer: 10953, 6, -0.5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6520 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497658 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -7*y**5\/20 + y**4\/12 - y**2\/2 + 5*y. Let v = 16607 + -16606. Give p(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/225*3*-10*1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28949?\nAnswer: 28949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:44 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.545169 centimeters to kilometers.\nAnswer: 0.00001545169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3553346ml in litres?\nAnswer: 0.0003553346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 4*c**2 - 3*c - 10. Let d be g(5). Let s(l) = l + 23. Give s(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -79. Solve -n*w = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-22 + (-36 - -69) - (-11 - 0))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 2*m**2 - m + 6. Let w be f(3). Let v be w\/252 - (0 - (-62)\/(-12)). Solve 0 = -v*o + 3*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + 6 - ((-46 - -42) + 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 770890 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -23. Suppose 3*q + 31 = 5*f, 0 = 7*f - 5*f - 2*q - 14. Which is the nearest to 0? (a) f (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4433*r**3 - 330312 + 330312.\nAnswer: 4433*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*3 + 4 + -5. Suppose -4*r - 19 = -5*f, 6*f = g*f + 3*r + 15. Solve -f*s = -4*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25577625 a multiple of 1122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 39 - 2*j**2 - 68 - 12*j + 36. Let z be h(-13). Sort z, -1, 0 in descending order.\nAnswer: 0, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 217*f - 1499. Determine i(8).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + w - w**2 + 2)*(0 + 1 + 0) - 2*w**2 - 2*w + 2*w.\nAnswer: -3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 4*g**2 - 2*g**2)*(-g**2 + g**2 - 3*g**2) + 2*g**2 - 2*g**2 + g**4 + (2*g**3 - 1 + 1)*(g + 3*g - 5*g) - g + g + 3*g**4.\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/48*6\/(2\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - d**2 - d. Suppose -4*q - 4*f + 19 = q, -2*q = f - 7. Let b(x) = x**2 + 17*x + 22. Let r be b(-16). Suppose 3*z = r*z - q. Determine l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 118430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/405 and 31\/126.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -4\/13934727?\nAnswer: -4\/13934727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 6*n + 15. Let c be x(6). Let v be 7\/7 - -1*5. Suppose g - 4*k + v = c, -4*k = 8. Solve 9 = 4*w + g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 2*f**2 - 2 + 1 - 2. Let l(v) = -v - 5. Let m be l(-10). Does 16 divide k(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -167, -2, 49, 83 in descending order.\nAnswer: 83, 49, -2, -5, -8, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -878\/1561 - 2\/223. Suppose 7*x - 3*x - 20 = 0. Let r = x + -6. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzhzhhxxhxhh. Give prob of picking 2 z and 2 x.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 1 + (-1)\/(-1). Let w = q + 5. Let a = 14 - w. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, -2, -6, -1, -39 in increasing order.\nAnswer: -39, -6, -2, -1, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 791 by -7.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6 - (-249)\/(-2))*(-2)\/3 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**3\/2 - 6*v**2 - v. Let w be g(-5). Let n(m) = -2*m + 3. Let z be n(w). Is z less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2) - 285 - -4. Let u = -259 - v. Calculate the least common multiple of u and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 18*r**3 + 134*r**2 - 131*r - 2. Calculate b(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4558 + 4559. Sort 16, w, -2, -4.\nAnswer: -4, -2, w, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10950 (base 11) in base 8?\nAnswer: -36651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 1478094552?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 2 - 2)*(3 + 4 - 5) - 2 + 2 - o - 2 + o + 2 - 2*o + 0*o + 0*o + 41*o - 38*o + 96*o to the form f + n*o and give n.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*c + 2543 - 4995 = 11584 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18852\/(-12568))\/(3\/26).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**3\/3 + 5*p**2\/2 + 5*p + 67. Suppose -12 = -3*a + 3. Calculate n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/35))**(2\/43) assuming k is positive.\nAnswer: k**(4\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 180*i - i**2 + 196*i - 405*i to the form y + s*i**2 + b*i and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9122795 a multiple of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)*a**(-5))\/((a\/(a\/((a*a**(-1))\/a)))\/a*a**(1\/3)*a) assuming a is positive.\nAnswer: a**(-55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30330202123 (base 4) to base 2.\nAnswer: 1100111100100010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m - m**3 - 4*m + m**3 + 9*m**2 - 3*m**3.\nAnswer: -3*m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19213, -38426, -57639, -76852, -96065, -115278?\n\"Answer: -19213*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/6)\/(-2 + (-25)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2\/8)\/((-1460)\/80 + 18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u**(-4)\/u))\/(u**(3\/5)*u))**40)**(6\/5))**1 assuming u is positive.\nAnswer: u**(816\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 + -137. Which is the second smallest value? (a) g (b) -0.3 (c) -3 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83298 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 6. Let s be g(4). Let j(q) = 6*q**2 + 3*q + 1. Let r(y) = -11*y**2 - 6*y - 1. Let i(t) = -5*j(t) - 3*r(t). What is the tens digit of i(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21117*g**3 - 63345*g**2 - 18*g.\nAnswer: 3*g*(g - 3)*(7039*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -221 in 0.5, 4, 0.03, 5\/11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2.2 (b) 14\/15 (c) 17\/3 (d) -4 (e) 2 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38232*i**2 + 197447*i - 197447*i - 38673*i**2.\nAnswer: -441*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50424 = -3455*a + 29901 + 172543 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1015553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:40 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 1, r: 9, h: 7, y: 1}. Give prob of picking 1 t and 1 r.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2))**6\/(p*p*p*p\/(p**(1\/6)*p)*p**7)*(p**(-8)*(p*p*p\/((p\/(p\/(p\/p**(-2\/33))*p))\/p))\/p)**(-18) assuming p is positive.\nAnswer: p**(5561\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 12*f**2 - 47*f - 35. Let o be y(-15). Let w = 6607\/8 - 830. Is w greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q**(-2\/11)\/q*q)*q)\/(q**(-6)*q*q))\/(q\/(q**(-5\/2)*q))**(-3\/14) assuming q is positive.\nAnswer: q**(2069\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 247 = 4*s + q, -3*s + 4*q = 154. Let t = 27 - s. Let c = 75 - 41. Calculate the highest common divisor of c and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.4 and -20.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/7 - 102*v**4\/7 - 1150*v**3\/7 + 310*v**2\/7 + 3672*v\/7 + 2312\/7 = 0 for v.\nAnswer: -34, -17, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-16)*((i*i\/(i\/((i\/(i**(-1)\/i*i))\/i))*i)\/i)\/i assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 487771, 3902146, 13169727, 31217116, 60970915, 105357726, 167304151, 249736792?\nAnswer: 355582251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122303 - -121?\nAnswer: 123030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 19.5. Let q = 28.98 - 31.6. Let d = q - -2.52. Which is the closest to -2\/5? (a) d (b) -1\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 160\/30 + 114\/(-99)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623 (base 7) in base 5?\nAnswer: 10104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/218951136 and -49\/104.\nAnswer: 2846364768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 1\/20 (c) 4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 12, 0 = -0*b - 4*b + 5*l + 4656. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 516*y + 520*y - 1032*y + 46*y**2 + 59. Is x(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ca + -333c?\nAnswer: -3428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0585 and -65649910.\nAnswer: -65649909.9415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/79350 and 29\/24.\nAnswer: 317400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188385 = 3*n - 3*o, 2*n + 134*o = 130*o + 125602. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35113 divided by 2\nAnswer: -35113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134380 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*n - 370 + 370)*(-36*n**3 - 26*n**2 + 26*n**2) in the form o*n**2 + x*n**3 + y*n + a + m*n**4 and give m.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.68 * 3215.09.\nAnswer: -8616.4412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*r**3 - 15*r - 6*r**2 + 15*r wrt r.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 4645.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*b**4 + 54*b**4 + 227*b**4)*(-4*b + 2*b + b + (0 - 2 + 5)*(0*b + 0*b + b) + b + 0*b - 2*b).\nAnswer: 237*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/36582 and 19\/20904.\nAnswer: 146328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*y - 40622 + 4423 = 3929 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -606782, 5.\nAnswer: -606782, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5891\/1677 + -4*(-2)\/208*4.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + w - 1. Suppose 26 = 340*q - 327*q. Let h(r) = 4*r**2 + 2*r - 1. Determine q*h(n) - 4*v(n).\nAnswer: 4*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 79 - 81 - 10\/(-1) - -232. Calculate the greatest common divisor of 3280 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22105*p - 3 = -22101*p + 3*v, -2*v - 3796 = 635*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 790425898.868 and 0.07.\nAnswer: 790425898.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, f: 3, p: 3, d: 2, i: 6}. Give prob of sequence idvf.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 23. Let i be p(7). Let n be (1*i)\/(4 + -1). Solve 0 = -5*u + 3*g - 11, -3*u = n*g - 2*g + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/17 in 0.5, -18, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -112?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let c(f) = -125 - 42 - 129 + 11 + 2*f + 103. Calculate c(i(k)).\nAnswer: 2*k**2 - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47344 and 8.\nAnswer: 47344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -151*l - 19. Let s = -137 - -131. What is the units digit of d(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13877, -27756, -41635, -55514, -69393?\nAnswer: -83272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 60 = -22*u. Suppose 0 = -11*d + 13*d - u. Solve 0*n - 11 = 2*l + 5*n, 5 = -d*l + n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3412*u + 4237*u + 8806*u + 9056*u + 1947*u + 8412*u)*(-4*u**4 + 0*u**4 + 0*u**4).\nAnswer: -116184*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {f: 7, n: 7, x: 4}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1155*b**2 - 8*b - 12. What are the prime factors of l(-2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 10*n**2 + 12*n - 5. Let x be i(11). Let v be (-45)\/(-2)*(x - 246). Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21018 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0 + (-3 - 2 + 6)*(170 + 159 - 59))*(0*v - 9*v + 4*v).\nAnswer: -1340*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {p: 6, c: 2, y: 4, u: 3, s: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*100\/(-625))\/(((-5)\/(-25))\/1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/432 and -21\/22.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1148 and -39\/2920040?\nAnswer: 838051480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-11*d + 2*d - 9*d) + (1 + 0 - 5*d - 2)*(1 + 4 - 4) + (-3 + 2 + 0)*(3*d + 2*d - 6*d).\nAnswer: 32*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -95180986, 0, -2 in increasing order.\nAnswer: -95180986, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 0*h**4 + 0*h**5 - 147*h + 0*h**6 + 31\/3*h**3 + 7\/2*h**7 + 0 - 1\/2*h**2. What is the second derivative of z(u) wrt u?\nAnswer: 2940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqnqnnrnrnnqlt. What is prob of picking 2 q and 2 n?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - -179. What is the remainder when u is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 33. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 28*z - 110. Let q be u(5). Suppose -2*x + q = 5*g, -4*g + 52 = 6*x - 3*x. Solve x = 9*r + r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (56\/70)\/((-2)\/(-10)) + 104. Calculate the greatest common divisor of m and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203977699355\/116 - 1758447869. Let r = w + 19427. Find the common denominator of -37\/4 and r.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/12 and 71\/2474.\nAnswer: 14844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-12)*-1)\/((-2)\/396). Suppose -2*s + 0*s = -4*p - 102, -4*p = s + y. Let k = p - -24. Is 1\/61 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 22*p**2 + 11*p**2 - 16*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 2*j**2 + j + 4. Let k be u(3). Is 3*(k\/(-6) - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r - 14*r + 2*r**3 + 0*r**3.\nAnswer: 2*r**3 + 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m - 171*m**2 + 5*m + 87*m**2 + 94*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3517053.\nAnswer: 3, 1172351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -942, 6 in descending order.\nAnswer: 6, 3, 0, -942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t**4 + 116*t**3 - 696*t**2 + 496*t + 672 = 0 for t.\nAnswer: -14, -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1936 and 7139?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18824036100 rounded to the nearest one million?\nAnswer: -18824000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -3 - (-1)\/(-1 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1448410, 5793535, 13035410, 23174035, 36209410, 52141535, 70970410?\n\"Answer: 1448375*z**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 71 - 34)*(-2*l + 0 + 0)*(2*l**4 - l**4 - 2*l**4).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 84*b**2 - 901*b - 225. Is 93 a factor of h(94)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 24*d - 80. Solve 0 = 5*o - a - 8, 0*o + 3*o - d*a = 15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 3*u - 3*u**3 + (u**2 - 3*u**2 - 6*u**2)*(3*u - u - 3*u) - u**3 - 2 + 2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbqbbqbeqqebqbqibr. Give prob of sequence rei.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/5)\/((-4)\/(-20)). Solve -20 = -2*x - q*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-26)\/(-39) + (-17)\/(-6) and 20\/30 + 466\/(-204).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zityyidnz. Give prob of picking 1 d and 1 y.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267652, -2141241, -7226700, -17129965, -33456972, -57813657?\nAnswer: -91805956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzllzzzzuzzlzulzll. What is prob of sequence uzu?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -3 + (0 - -8) - -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14655495 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 + 5*j - 9*j + 2*j)*(5*j + 6*j - 5*j) to w*j + p*j**2 + a and give w.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 359*n - 174*n - 181*n - 68. Let m be x(22). Solve 4*u - 23 + 63 = -4*j, -u = 3*j + m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -675 + 676. Let q = -68 - -41. Let w = -24 - q. Which is smaller: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -761*o. Let b(r) = -64*r**2 - 2*r - 42. What is b(p(x))?\nAnswer: -37063744*x**2 + 1522*x - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 651.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.29 - 57.839.\nAnswer: -59.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 100680584.2 to the nearest 10000.\nAnswer: 100680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*p + 101 + 59*p + 67*p + 27*p + 64*p.\nAnswer: 2*p + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833010 is divided by 1032.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 - -126. Suppose g*j - 4*z = -j, -5*j + 4*z = 0. Suppose j = 18*x - 842 - 508. Calculate the least common multiple of x and 27.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(18\/(-34)) - (-30)\/(-45). Put h, 4, 1\/5 in decreasing order.\nAnswer: h, 4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a = -13*a + 12800. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4920898 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 smaller than -3\/170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456, 590, 722, 852, 980, 1106, 1230?\nAnswer: 1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 292 + -717. Let c = u - -425.000201. Round c to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 plus -9276.872094?\nAnswer: -9276.922094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 1, s: 2, w: 2, p: 1, q: 1}. What is prob of picking 1 y and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6 - (-487 + 476))*(2\/(-1))\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012230313 (base 4) to base 11.\nAnswer: -188635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*h = -5657, 1819 = z - 3*h - 75. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-14)*11\/(66\/72). Let l(s) = s**2 + 8*s + 5. Let t be l(-7). Let w be (-1 - t) + 2 - -2. Solve y*q = q - a + w, 2*q - 2*a + 10 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.78 + 1.88. Let h = 10 + -5. Which is the smallest value? (a) 3\/13 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 z when three letters picked without replacement from {j: 2, z: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*b**2 + 2*b*l - 26*b - l - 46 wrt b?\nAnswer: -14*b + 2*l - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 25426908?\nAnswer: -25426903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/4802, -52, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 6. Let p = 6 + v. What is the remainder when 7 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7 + 1. Let q(g) = -g - 4. Let n(s) = s + 3. Give b*n(l) + 2*q(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l. Let n(b) = -b**3 - 2*b**2 + b. Let y be 2\/5 - 12\/(-20). Let p be n(y). Let c be o(p). Calculate the greatest common divisor of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 56*x**2 + 2*x + 109. Calculate y(28).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0835559 + 0.08318. What is p rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 8*a**2 + 11*a + 20. Let o be m(-9). Suppose -o*p = -12 - 18. Let i(b) = -b**2 + 34*b + 8. Is i(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 281704\/(-55116)*(-22)\/92\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 + -25455?\nAnswer: -25473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 10\/21 (c) 1\/14 (d) -1\/4 (e) 7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one eighth of a kilogram?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -24. Is 4*(d - (-30)\/12) 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 12:10 PM and 11:59 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -5*b + 22\/15*b**6 + 0 + 0*b**3 + 0*b**5 + 2*b**2 + 0*b**4. Differentiate t(f) with respect to f.\nAnswer: 176*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 97*b**2. Let r(w) = -3623*w - 3627*w + 7252*w. Determine r(n(f)).\nAnswer: 194*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9122830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*u = 11, 2*u = -3*m + 7*u + 37. Suppose -5*n + 4 = -1. Calculate the smallest common multiple of n and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788 - 768 = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1026875332, -1026875333, -1026875334, -1026875335?\n\"Answer: -n - 1026875331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -134 - -11b90c?\nAnswer: 11b7b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 17. Let v be z(-10). Let o be 5*(0 - v - 1). Suppose q + 3*q - 2*j - 32 = 0, -o = 5*j. Solve -3*w = 5 + q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 - 134. Calculate the greatest common factor of o and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1324 or -1323?\nAnswer: -1324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(11) - (sqrt(99)\/(sqrt(54)\/sqrt(6)) + sqrt(11)))**2 + -1*sqrt(704) + (sqrt(11) + -1 + -1 + -4 + -4)**2 + 0).\nAnswer: -112*sqrt(11) + 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6886 = -3289*y + 3915*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + 2 + -1 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37904692 divided by -9476173?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 16. Let m be h(0). What is the second derivative of 18*b**4 - m*b**4 + 8*b + 5*b - 2*b wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 15 = 0. What is the third derivative of 2*i**4 + 2*i**2 + i**2 - h*i**4 + 0*i**2 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -50.44. Let m = 1.36 + d. Which is the nearest to 0.2? (a) -2\/5 (b) m (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 22*l - 1 as h + r*l and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.6 less than 4135?\nAnswer: 3995.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/60 + d**4\/8 - 5*d**3\/6 + 2*d**2. Let m = -34 + 39. Suppose 0 = -2*p + m*g - 12, -3*g + 14 = 2. What is c(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(-5*-1*sqrt(91))\/(2*sqrt(7)*-4).\nAnswer: -25*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-143 + (326 - -327))*4\/210.\nAnswer: 68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:05 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -1735\/194?\nAnswer: -1735\/194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 26 = s - 5*u, -2*s + 4*u + 26 = 0. Suppose m - 3 = v - s, 0 = -4*v + m + 30. Calculate the greatest common divisor of 32 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = z + 1133 - 28, -3*z + 1129 = h. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*q**3 - 5050*q + 188 + 5050*q + 15*q**3 - 32*q**3 in the form i + x*q**3 + m*q + o*q**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 398*j + 25241. Calculate p(-63).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1643 (base 12) to base 5\nAnswer: -41033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 111 times -1.07\nAnswer: -118.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 17527*f + 340. Let p(x) = -626*x - 12. Let n(v) = 3*b(v) + 85*p(v). Let r(c) = -c**2. Determine n(r(j)).\nAnswer: 629*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**3 + 2*o**4 + 17*o**3 - 11*o**4 - o - 34*o**3 in the form w*o + y + r*o**4 + m*o**2 + n*o**3 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.5, 1, 136.25 in descending order.\nAnswer: 136.25, 1, 0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -78, -79, -80?\n\"Answer: -r - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**3\/6 + 7*l**2 - 486*l. Calculate z(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1155279643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5280 = -4*f + 30*f + 6*f. What is the greatest common factor of f and 4257?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3379.6 * -0.88.\nAnswer: 2974.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 6)*(-c - c + 0*c)*(7 - 21 - 2)*(3 + 2 - 2)*(-1 + 3 + 0).\nAnswer: -576*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = -16. Suppose 12*q = 68 - f. Let o be (78\/(-21))\/(5\/(-35)). Solve m - 9 = -p, -3*m + 9 = q*p - o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -26*q**2 + 3*q + 4. Calculate t(2).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -927*a**2 + 8*a + 1. Let p(o) = -936*o**2 + 5*o. What is 2*m(l) - 3*p(l)?\nAnswer: 954*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102110302102 (base 4) to base 10.\nAnswer: 4803730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 0*h**2 + 0*h**2 - h**2 - 5 - 7*h. Let l be g(-5). What is the second derivative of z**4 + 3*z - z**4 + 2*z**l wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 5. Let n(w) = -w**2 + 8*w - 5. Suppose 4*l - 29 = -3*c, 0 = 3*l - 5*l + 10. Calculate the remainder when c is divided by n(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2580*x**3 + 5*x**2 - 284*x + 15. Let c(k) = 3871*k**3 + 7*k**2 - 424*k + 23. Let w(u) = 5*c(u) - 7*n(u). Find the second derivative of w(z) wrt z.\nAnswer: 7770*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 2*b + 704 = 654, -4*c - 7*b - 20 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 - -289. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66273 minus -563.3?\nAnswer: 66836.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 - 16*n - 32 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 2 + -13 - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2571758 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 18. Suppose 88 - d = 4*o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 3*x - 2*y - 140, 0 = -5*x - 5*y + 220. Let h be 12 + (-3)\/((-9)\/(-6)). What is the greatest common divisor of h and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257625165 - 1214.\nAnswer: -257626379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -199*u**4 - 7*u**3 + 4*u**2 - 24. Let v(z) = -99*z**4 - 4*z**3 + 2*z**2 - 13. Let h(w) = -4*s(w) + 7*v(w). Find the third derivative of h(l) wrt l.\nAnswer: 2472*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z + 45. Give p(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6430\/(-4)*(12 - 476\/35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0065001mg?\nAnswer: 6500.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 8.5. Let m = 0.94 + -0.44. Let a = m - b. What is the third smallest value in 0.2, a, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2 - (-18)\/(-36). What is the second derivative of l + 2 - 4 - 27*f**3 + 60*f + 7*f**3 wrt f?\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 2079965.\nAnswer: 2079964.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237 = 5*i - 5*l - 232, -l = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59264?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2*(-5)\/(-10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1500)\/9*-4*(-234)\/3. Round l to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126012, 504028, 1134054, 2016090, 3150136?\nAnswer: 4536192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*l + 137*l = -456*l + 107*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5404.34 + -5355. Let v = -5.66 - d. Which is the third smallest value? (a) 4 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*n**4 + 20*n**4 + n + 3*n)*(-862 - 3620 - 923 + 104 - 818) to the form u*n**4 + m*n + q*n**3 + p + j*n**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21278264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12*c - 66 + 66. Let t(u) = -2*u. Calculate w(t(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - d + 2. Let t be v(-3). Is 11\/(t\/(-156)*3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2047 = -3*m + h, 3*h = -4 + 1. Suppose -4*g + 698 = -m. Round g to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 w when three letters picked without replacement from {w: 3, f: 1, h: 2, n: 1, g: 8, v: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/3 + 28*s\/3 - 10 = 0?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-374)\/(-42) - 14\/(-147). Suppose -q = -0 - 12. Suppose 0 = -q*h + s*h. Solve h + 4 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (284\/(-12))\/(0 + -3*(-4)\/(-36)). Which is bigger: 47 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 7*z**4\/24 + 3*z**2. Let j(y) = 15*y. Let c(v) = -2*j(v) + 5*l(v). Let t(f) = 0*f**2 - f**2 + 2*f**2. What is t(c(w))?\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27, 0.5.\nAnswer: -27, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 19*x**2 + 21*x - 128. Let w be l(5). Let p = w - 1357\/3. Is 38 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + cc?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.9 + 0.9. Let s = 4.018 + y. Round s to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 2, 4, 5, -1 in descending order.\nAnswer: 28, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 347, 433, 571, 779, 1075, 1477, 2003, 2671?\n\"Answer: 3*c**3 + 8*c**2 + 41*c + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -3, 17219?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64259 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*(-16)\/12. Let c be i\/(-7) + 32\/14. Suppose 2*p = 4*p - c. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let x(u) = 4*u**d - 6*u - 2*u**2 - 11 + 7*u**2 - u**3. Is x(8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309154077 a multiple of 1536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*v**4 - 20*v**3 + 40*v**2 + 80*v + 32 = 0. What is v?\nAnswer: -2, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115375719 less than 90.9?\nAnswer: -2115375628.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**4 + 7*q**3 + 8*q**2. Let a(m) = 6*m**4 - 6*m**3 - 8*m**2 + m. Let l(y) = 3*y. Let c be l(1). Let j(d) = c*s(d) + 4*a(d). Factor j(k).\nAnswer: k*(k + 1)*(3*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2272628 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453, -1048, -1851, -2862, -4081?\nAnswer: -5508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6626 is divided by 3252.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -26. What are the prime factors of 2*4\/6*s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + ((-132)\/88 - (-33)\/(-18)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -541542?\nAnswer: 541544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60760 (base 10) to base 5.\nAnswer: 3421020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 - (-5 + 8)) + -11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (18 + -31 - 4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3207096329?\nAnswer: 101, 127, 250027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33160 times -6?\nAnswer: -198960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04205125633411 + 3.\nAnswer: 3.04205125633411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4973*y - 4954*y = 209 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + w - 2. Let b(r) = -r**2 + 1. Let d(u) = -11*b(u) - 6*n(u). Suppose -29*f = -93*f - 320. What is d(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4581 and 27.\nAnswer: 13743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 11981?\nAnswer: 11986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(sqrt(156) - (sqrt(156) - (sqrt(156) + (sqrt(156) - (sqrt(156) - (sqrt(156) + sqrt(156)*2)))))))\/sqrt(12).\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/((-57)\/30 + 2). Suppose 5*u = -0*u + 5*r + 90, -m*r = u - 48. Calculate the remainder when u is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 3\/4*f**4 + 21 + 2*f + 0*f**6 + 0*f**2 + 0*f**5 + 0*f**3 + 6\/7*f**7. Find the third derivative of k(w) wrt w.\nAnswer: 2160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2546 divide 497837202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9779264?\nAnswer: 2, 11, 29, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 28 = -8. Let p(r) = 53*r**3 - 20*r + 19*r - 52*r**3 + 5 + 3*r**2. Give p(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (-2*sqrt(128))**2 + 0.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**4 - 5*s**4 + 16*s**4)*(-5 - 1 + 4 + (1 + 2 - 1)*(-2 + 1 + 3)) as q*s**4 + l + o*s + m*s**2 + g*s**3 and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 61566704 rounded to the nearest 10000?\nAnswer: 61570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -188. What are the prime factors of a?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 238 (b) 0.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 48. Suppose -5*b + 21 + l = 0. Suppose 5*o = 13 + 7. Calculate the remainder when b is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 14*p**2 - 2121 - 3*p**2 + 4217 - 2026 to the form n*p + h*p**2 + c and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i*i*i*i*i\/(i*i**(-35))*i)*i**(11\/7))**(-3\/4))**(-32))**(-36) assuming i is positive.\nAnswer: i**(232416\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + 2*q**3 + q**3 + (2*q + 14 - 14)*(23*q**2 - 20 + 20).\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.59 + 0.19. Let v(w) = -w**3 - 8*w**2 + 11*w + 17. Let l be v(-9). Which is the nearest to l? (a) 1\/29 (b) j (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, p: 3}. What is prob of picking 3 n and 1 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20102211122122 + -2221?\nAnswer: -20102211202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2709296, 2709291, 2709276, 2709245, 2709192?\n\"Answer: -i**3 + i**2 - i + 2709297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(147))**2.\nAnswer: 42*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 129 = -4*d - 679, 0 = -3*x + 2*d + 328. Which is greater: 93 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 + 72*o + 5184.\nAnswer: (o + 144)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 116284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -237 + 235. Sort c, 16, -3\/2, -0.1 in decreasing order.\nAnswer: 16, -0.1, -3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/7 + 62*f**4\/7 + 600*f**3\/7 + 832*f**2\/7 - 15872*f\/7 - 61440\/7 = 0.\nAnswer: -12, -8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 55. Solve -5*x + 10 = -c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 6*s**2 - 2*s + 3. Suppose -10 - 18 = -4*g. Let b be (-116)\/(-28) + (-1)\/g. List the prime factors of n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*j**2 + 136*j**2 - 75*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -120*x - 11271. Calculate v(-94).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7575 is divided by 55.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 7*q**2 - 8*q + 4. Let f be i(8). Suppose l = 5*p + 13, -7 = -l - f*l - 4*p. What is the highest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2) - (-9 - 1). Let b(t) = t**2 + 17*t - 21. Let o be b(-18). Sort o, k, 0.\nAnswer: o, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 62, 48, 30, 8?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89\/138 + -1\/46. What is the nearest to d in -2\/7, 2\/15, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -262 + 694. Let h = -437 + g. Let i(x) = -2 - 3 + 0 - 4*x. What is i(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 y when three letters picked without replacement from tgttfypttfttf?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-124)\/(-93) + ((-952090)\/3)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3531425 is divided by 55178.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s - 18. Let a(t) be the third derivative of -7*t**4\/24 - 19*t**3\/6 - 4*t**2. Let u(h) = -3*a(h) + 4*y(h). List the prime factors of u(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/4)\/(0 - -6). What is the third smallest value in 7, 5, t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, m: 1, f: 1, l: 2, c: 6}. What is prob of picking 1 f and 1 m?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3022111 (base 4) to base 12.\nAnswer: -75b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -118b4 - -77?\nAnswer: -11839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 259460762 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*t - 90, t - 3*p + 10 = 40. Suppose -4*h = -7*i + 9*i - 18, -3*i = 5*h - 30. Calculate the highest common divisor of t and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-15)*3*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxxl when four letters picked without replacement from xllllxxllllxln?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 26*t + 124. What is i(-17)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(46 - 145 - 35)*(-3*k + 4*k + k) + (0 + 2 + 0)*(1 - 1 - 4*k).\nAnswer: -544*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116 + -5 - (-5)\/((-10)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -845*k**3 + 40300*k**2 + 12460*k + 960.\nAnswer: -5*(k - 48)*(13*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/21)\/(15\/21))\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 356*d - 9777. Calculate m(27).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19557 and 773793.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, d: 9}. What is prob of sequence sd?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*u**3 + 22350*u**2 + 49788*u + 9960.\nAnswer: -3*(u - 830)*(u + 2)*(9*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 33*x - 149. What is the remainder when l(17) is divided by 71?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7084626, 14169256, 21253886, 28338516?\nAnswer: 35423146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 14*q**2 + 4*q - 33. Let z be g(14). Suppose -z*l + 8*l + 150 = 0. Solve l + 22 = 8*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346611 (base 7) to base 6.\nAnswer: 1200453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/6 (b) -0.2 (c) -213 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 6*n**2 + 4. Let s be x(-6). Suppose -f - s*f - 10 = -5*w, 4*w = f + 20. Suppose -2*z - 3*j + 242 = -w*j, -3*j + 12 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 72 = -4*o - 4*j, 4*j + 33 = o. Let p = o + -23. Let g be (p - (2 + -2)) + 5. Solve 7*h = -3*w + 3*h - g, 3*w + 2*h - 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -376 - -372. Let p = 0.1 + -0.4. What is the third biggest value in 3\/7, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1251739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 - 7*r**2 - 7*r. Suppose -2*k - 4 = -k. Let v be k - (-4 + 1)\/(-3). Let u(t) = -2*t**3 + 5*t**2 + 5*t. Determine v*s(o) - 7*u(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 + 6 + -3 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -6, 24 in ascending order.\nAnswer: -6, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98179 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -13. Suppose -m*u + 21*u - 10 = 0. Put u, 2, 18, 4 in decreasing order.\nAnswer: 18, 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8832, -8835, -8850, -8883, -8940, -9027, -9150?\n\"Answer: -g**3 + 4*g - 8835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2. Suppose 24*j - 21*j = 0. Let l(i) be the third derivative of j*i + 2*i**2 - 1\/12*i**4 + 0 + 0*i**3. Give l(z(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(35)*1)\/(-4*sqrt(7)*1).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*t**3 - 76*t**3 - 80*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11691369*i**3 - 13890127*i**2 wrt i?\nAnswer: -70148214","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let 21*a**3 + 16*a**2 - 189*a + 1\/2*a**4 - 369\/2 = 0. Calculate a.\nAnswer: -41, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {b: 16, n: 4}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(225)*3)\/sqrt(5))\/(3*sqrt(144)*-1) + -5)**2.\nAnswer: 15*sqrt(5)\/2 + 445\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/750*-12)\/3.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 120*z**2 + 871*z - 74924. Give x(118).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 42*o - 76. Let b be h(-17). Let u = b - 889. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 17*o + 32*o + 13 - 56*o - 9.\nAnswer: -41*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 20041?\nAnswer: -20043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -16. Suppose 2*s + 3*o + 19 = -2*o, -g*s - 55 = 5*o. What is the lowest common multiple of (s\/(-14))\/(7\/49) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -64 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -248 + 247.6. Which is the closest to -1.38? (a) m (b) 3\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99521538 by 6.\nAnswer: 16586923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1080e + -4e?\nAnswer: -1085c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 6, 5, -43, 1, 9, -4.\nAnswer: -43, -15, -4, 1, 5, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 246*j + 720.\nAnswer: 2*(j + 3)*(j + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 - 25 = 52*i. Let f(w) be the third derivative of 1\/144*w**4 + 0*w - 1\/180*w**5 - 12*w**2 + 1\/720*w**6 + 0*w**i + 0. Factor f(u).\nAnswer: u*(u - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.607 + -1.393. Suppose 0 = -2*b - 2*b. What is the nearest to 6 in 3, x, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - -1 - (-36062)\/(-988))*292?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 3*w + 3*w)*(-4 + 4 - 6*w)*(1 - 6*w**2 - 3 + 1) in the form a*w**2 + b + m*w**3 + y*w + q*w**4 and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1149000 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(2\/29)*a)*(a*a\/(a\/((a*a\/(a*a\/a**(1\/60)*a))\/a))*a)\/a*a assuming a is positive.\nAnswer: a**(-91\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52620795 and 15345.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((156\/(-12))\/104)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -18895138 to the nearest 10000.\nAnswer: -18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j*z**4 + 140*j*z**3 - 2*j*z**2 - j*z - 133*z**2 wrt z.\nAnswer: -120*j*z + 840*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + -3 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -241617\/23 + 10505. Put 4, -0.1, g in increasing order.\nAnswer: -0.1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**4\/12 + 13*j. Calculate q(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165473 (base 11) in base 7?\nAnswer: 2114460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 0, 2, -58, 370 in decreasing order.\nAnswer: 370, 5, 2, 0, -8, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 973537230 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/60 and 7\/3119320.\nAnswer: 9357960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 4*g + 12*g + 14*g as t + m*g and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 75190 = -5*n + 43*z, 0 = -3*n - 4*z + 45114. List the prime factors of n.\nAnswer: 2, 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 5\/8 (b) 9 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 - 7 - (-614 - -569)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 2*j**2 - 3*j. Let k be i(-3). What is the second derivative of 0*d - 9*d**5 + 11*d + k*d wrt d?\nAnswer: -180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Suppose 0*k + k = d. Solve k*x + 25 = 5*l + 6*x, 3*x = 2*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 321 - 4*y - 84 + 135.\nAnswer: -4*y + 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 567 - 23245\/41. Are 0 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 9*s - 2100. Suppose -j = 4*j + s. Let l = j - -206. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**5 + 131*p**3 + 65*p - 2?\nAnswer: -20*p**3 + 786*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/((-30)\/(-2100)*21).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 180 + -169. Which is the closest to -3\/4? (a) -2\/9 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0 - 1\/30*b**4 + b - 19\/60*b**3 + 1\/4*b**2. Suppose w(s) = 0. Calculate s.\nAnswer: -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 27*r + 10. Calculate s(26).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1656 is divided by 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = 10. Suppose q - 4*q = 0, -o*q - 12 = -3*l. Let c(z) = -z**2 + 1. Let v(x) = x**3 - 4*x**2 - x + 4. Determine l*c(h) - v(h).\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4931026084 to the power of 1\/3, to the nearest integer?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 1)\/(-3) + (-4)\/(-20). Sort -2, -0.8, b in descending order.\nAnswer: b, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -147\/4, -0.4, -4, 8, 21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1275*f - 1425*f - 15948*f + 1996152 = 0 for f.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -u + 8. Let f be 1\/u + -12 - -3. Which is bigger: f or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 32 = -182. What is the remainder when y is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(3\/2))\/(z*z**(3\/5)))\/(z**(4\/3)*z)**32 assuming z is positive.\nAnswer: z**(-2213\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2024530.\nAnswer: 2, 5, 17, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 2435?\nAnswer: 21915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49391*k**2 - 12007*k wrt k.\nAnswer: 98782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 3*t - 4 = 0, -112*n + 3*t + 30 = -109*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56230129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.7 + -4.3. Let n = -30 - r. Let o = n + 13.0014. What is o rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 26*z**2 + 23 - 17 - 3*z**2 - 13.\nAnswer: -29*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buw when three letters picked without replacement from {p: 5, d: 1, u: 3, b: 1, w: 1, y: 2}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1023*k = -974*k - 443352. Does 52 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 23.4.\nAnswer: -7.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 442, 454, 466, 478, 490?\n\"Answer: 12*d + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(1008\/27) - 63152\/28. Let v = 11278\/5 + p. Factor 0 + 0*x - v*x**2.\nAnswer: -3*x**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3349345025?\nAnswer: 5, 13, 2347, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**2 - 8461*p - 15*p**4 + 8461*p)*(-1 + 5 - 3).\nAnswer: -15*p**4 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -44. Calculate the lowest common multiple of z and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 99582?\nAnswer: 99584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.045 + 0.085. What is the third smallest value in r, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.0528.\nAnswer: -0.01056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 100 + -72882?\nAnswer: -72782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, s: 3, d: 2, n: 3, z: 1, p: 1}. Give prob of sequence nzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(10*a + 313 - 313).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2750490, -2750492, -2750494?\n\"Answer: -2*w - 2750488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2550\/(-10625)*(-75)\/11)\/(2\/132)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 = o, -4*o - o + 41 = 4*f. Let b(q) = q**3 + 4*q - 14 + 7 + 2 + 4*q + f*q**2. Determine b(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(sqrt(171)*-2*3 + 5)**2*-3.\nAnswer: -111258 + 3240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**3 - 48*q**2 + 4*q + 1008 = 0.\nAnswer: -9, -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 - 23*d - 31. Let b be k(7). Factor -30*z**2 + 23*z**3 - 3*z**4 - 103*z**3 - 2*z**2 - 53*z**b - 12*z**5.\nAnswer: -4*z**2*(z + 2)**2*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -2448974\nAnswer: 13\/1224487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 7. Let m(g) be the first derivative of -g**3\/3 - g**2 + 4*g + 1. Let f(x) = -x**2 - 3*x + 5. Calculate w*f(t) - 5*m(t).\nAnswer: t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -2\/11, -0.5, -41\/13, -29\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2783 - -4?\nAnswer: -277a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001110110001 (base 2) in base 11?\nAnswer: 6957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (411*f + 1270*f + 676*f)*(-2 - 1 + 2) to a + q*f and give q.\nAnswer: -2357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -59*q - 1417. Let p be t(-27). Calculate the greatest common divisor of p and 440.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**3 - 2*k**2 + 1. Let l be b(1). Find p, given that -12*p**5 - 21*p**2 + p - 37*p**4 - 45*p**3 - 2*p**l + 0*p - 4*p = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:45 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 15\/20)*48\/90. Let k = 2 + -1.97. Let r = -3.97 - k. Which is the second biggest value? (a) r (b) i (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 941*h + 5*a = 944*h + 46, 89 + 1 = -14*h + 9*h + 5*a for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 253448173?\nAnswer: 253448178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 61.27. Let k = 1.23 + -1.3. Let g = l - k. Sort -4, 1\/3, g.\nAnswer: -4, g, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 741 + -323. Let w = a + -408. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20364 + 1730936\/85. Let o(j) = j**2 + 6*j - 1. Let d be o(-6). Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25096 + 110863. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.50845 (b) -4 (c) -1\/5 (d) -3 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/60 + z**4\/6 - z**3\/2 + 21*z**2. Let s be b(1). Solve 3*n + w + 2 - 16 = s, -12 = -4*n + 2*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a541 (base 14) in base 12?\nAnswer: -105a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231192.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/18 and -77\/152.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*n + 5*p - 20, -2*n + 16 = 2*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shsqq. Give prob of picking 2 s and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 6)*(m + 3 - 3) - m - m - m + (0 + 4 - 1)*(93 - 93 + 8*m).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -181*m - 1085. Let a be l(-6). Let q be (-2 - -4)\/2*-13. Let y = q - -18. Solve -2*k - y = a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 - 2*j. Let w be t(-3). Let z = 58 + w. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.1 + -8184.463418273.\nAnswer: -8169.363418273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7745051.\nAnswer: 7745051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77456 is divided by 799?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -247\/8 - -61\/2. Which is the nearest to -2\/3? (a) -2 (b) -2\/15 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 35*b**2 + 1155*b - 17206. Determine j(51).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/((-2)\/66). Let s = -5 + 9. Sort r, s, 3.\nAnswer: r, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2. Let w(h) = 940*h**2 - 24. Let m(b) = 627*b**2 - 15. Let c(l) = -8*m(l) + 5*w(l). Give c(x(g)).\nAnswer: -1264*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xypk when four letters picked without replacement from xeyeexooppok?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, -472, 0, 631 in decreasing order.\nAnswer: 631, 0, -5, -10, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*k - 2*h + 6, -3*h + 94 = 91 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - -1. Let z = -125\/2 + w. Let p be 15\/(-12)*1 - -1. Which is the nearest to 2? (a) 2 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 1, e: 2, a: 2, o: 1, x: 1}. What is prob of sequence vf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*f**2 - 38*f**2 - 38*f**2 + 4 - 17*f)*(-f**2 + f**2 - f**2) - 3*f**4 + 3*f**4 - 3*f**4.\nAnswer: -5*f**4 + 17*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + 2*s**2 + 16*s + 15. Let o be u(-1). Which is the nearest to -1? (a) -0.1 (b) o (c) 5 (d) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4990220 and 4720?\nAnswer: 19960880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/10 - 3*f**3\/2 + f**2\/5 + 84*f\/5 = 0. What is f?\nAnswer: -3, 0, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/3 - 52*n**3\/3 + 386*n**2\/3 - 208*n + 96.\nAnswer: 2*(n - 12)**2*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 6*y + 7*y + 0 - 1 - 5 to t + j*y and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/120 - g**5\/60 - g**3\/2 + g**2. Let a = -188 - -188. Let j be ((a\/7)\/5)\/3. Calculate h(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 554 divided by 3.\nAnswer: 554\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 4*f**2 + 64*f - 252. Determine p(4).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*f + 17 - 5 = 0, 4*q = -5*f + 27. Suppose -q = -4*t + 8*t. Suppose n - 14 = 3*c, -26 = -7*n + 2*n + 4*c. Put n, t, 3 in decreasing order.\nAnswer: 3, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/21)*v**(3\/13)*v)**(-2\/45))**25 assuming v is positive.\nAnswer: v**(-5830\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 - 9*g**2 - 5*g - 4. Let y(u) = -u**3 + 2*u**2 + u + 1. Give 2*h(j) + 9*y(j).\nAnswer: -3*j**3 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 - 7 = 0. Let v = b - 5. Let r be (v - 33\/(-9))*3. Solve -4*a + 2*p = 18, r*p = 4*a - p + 19 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 474 = 3*k, -k + 268 - 95 = -4*v. Let l = k - 100. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 5*z**2 + z + 8. Let w be o(-5). Suppose 0 = -w*u - 0 + 3, -4*t + 655 = -u. List the prime factors of t.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + 1 - (-6)\/6. Suppose 4*y = 2*y + r. Suppose 0 = x - 5, 113 = y*m - 2*x - 27. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2\/11, 0.3, 1000, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 + 30*b**2 - 151*b + 34. Calculate n(5).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/8 (b) -2\/15 (c) 47\/157 (d) 0.1 (e) -0.1 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -647522*v**2\/15 + 15549632*v\/15 - 93352448\/15.\nAnswer: -2*(569*v - 6832)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(20) + -3 + sqrt(20)\/sqrt(36).\nAnswer: 2 + 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/45*9)\/((-2)\/61). Let o = p + 64. Solve -12 = 3*a - o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + 2 + 6 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-5\/2)\/j)))\/(j\/(j\/(j\/j**15)))*(j**6\/j)**(-38) assuming j is positive.\nAnswer: j**(-359\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 11*a**2 + 27*a + 18. What is the remainder when 4256\/36 + 6\/(-27) is divided by p(13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -857*c**9\/504 + 743*c**5\/60 - c**2 + 7*c. What is the third derivative of y(l) wrt l?\nAnswer: -102840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 25*s**7\/21 - 22*s**6\/3 + 141*s**5\/10 - 22*s**4\/3 + 4*s**3\/3 + 1009*s + 2. Suppose t(u) = 0. Calculate u.\nAnswer: 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03554*0.2.\nAnswer: 0.007108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1069*s + 1075*s + 1072*s - 3219*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4215\/(-120) + -10 + 46?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -312878100 rounded to the nearest one million?\nAnswer: -313000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 12*n**2 - 10*n + 34. Let w be (-65610)\/5994 + (-2)\/37. What is g(w)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + f**2 + (f + 2*f - 2*f)*(2*f + 0 + 0))*(-1 + 0 + 2).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 16 = -3*o - 6, 0 = -3*o - 2*l - 2. Suppose -o*z - 11 = -3*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 15271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + 4*m**2 + 9*m. Let p be j(3). Calculate the greatest common factor of 60 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 946 = 4*g. Let j(l) = -7*l**3 + 365*l**2 - 56*l + 219. Let w be j(52). Calculate the greatest common factor of w and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -32?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 - 3 = 0. Suppose -q = -2*q + 2. Suppose q*f - 4 = 4. Solve -i - f = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -16*s. Let t(m) = -2*m**2. Give h(t(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-six fifths of a hour?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (609\/28)\/(-29)*5\/(-15) - 954\/8?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-20)*15\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 44 = 19*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)*w)\/(w\/(w*w**(2\/21))))\/(w**(-4\/5)*w**(-5)) assuming w is positive.\nAnswer: w**(1343\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(13\/2)))\/w**(4\/7))\/((w\/(w*w\/w**(-12)))\/w**(2\/13)) assuming w is positive.\nAnswer: w**(3473\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 8571059?\nAnswer: -85710590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*n**2 - 11*n**2 + 6*n**4)*(121 - 544 - 57) in the form s*n**2 + p + j*n**4 + v*n + o*n**3 and give j.\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/8*(-13236)\/22. Let l = -301 + m. Let n be (-14)\/(-10) - 321\/(-535). Are n and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35b5 - -4?\nAnswer: 35b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 35)\/(499 + -497)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c - 23 = -25*c - 3*h, h = 5*c - 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3473398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 136 = -13*j. Let g(x) = -4*x + 20. What is the remainder when g(j) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1 - 2 - 3 - j**2 + 7 - 126*j**3 + 132*j**3. What is s(2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/10))**(-8)*(r\/r**(-31))\/(r**(1\/17)*r) assuming r is positive.\nAnswer: r**(2426\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*o - 117 = 0, 0 = 5*u - u + 3*o - 156. Find the second derivative of 80*f**3 - 83*f**3 + 10*f**2 - u*f - 35*f wrt f.\nAnswer: -18*f + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 29 - (4 + -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 11. Let p be l(-11). Let a(z) be the third derivative of 0*z + p*z**5 + 0 - 1\/180*z**6 + 0*z**3 + 3*z**2 + 1\/36*z**4. Let a(i) = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 6*f**4 + f**2 + 2*f**3 + f + f**2 - 3*f**4 in the form z*f + o*f**4 + m*f**2 + p*f**3 + h and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107024755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2874, 23384, 79048, 187440, 366134, 632704?\n\"Answer: 2929*y**3 + 3*y**2 - 2*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*b**4 + 529*b**3 + 3079965*b.\nAnswer: 696*b**2 + 3174*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 78606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68 or -70?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 22. Let r = 0.03795 - 0.13795. What is the nearest to -0.2 in s, -0.5, 0.06, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214708968 by -26838621.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/5)\/(14\/14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 3*n - 45, -d + 2*n = -9 + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 36.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, 28, 102, -47 in descending order.\nAnswer: 155, 102, 28, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.141 - -17.141. What is the closest to 0.045 in u, 1\/2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 289?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1804 + 1863 + 54*z - 53*z. Is u(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151642754 divided by 571.\nAnswer: 265574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/4 + 90389*w\/4 - 20940925\/2 = 0?\nAnswer: -90850, 461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**2\/2 + 43693350*s + 318184805703750 = 0.\nAnswer: -14564450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 - 1818878*d - 3637757\/2.\nAnswer: (d - 3637757)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*r - 1, 4*r - 2*z + 7*z + 23 = 0. Let g(o) = 341*o**2 - o - 3. Is g(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3587 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 87 + -46 - (1 - (1 + -2 - 35))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, e: 1, u: 1, h: 7, r: 1}. Give prob of sequence ier.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*w - 216 = -9*m - 668, -13 = -5*w + m + 39 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4992\/195)\/(2\/2215).\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -319\/3 - -104. Which is bigger: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1359630 to the nearest ten thousand.\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1100) + 0) - (sqrt(121)\/(sqrt(11)*-1) - (-5 + sqrt(11) + -1 + sqrt(11)))**2.\nAnswer: -135 + 86*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/4)\/(a\/a**(4\/5)))\/(a**(-3\/8))**(-2\/11) assuming a is positive.\nAnswer: a**(163\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) -3 (b) -10 (c) 1\/4 (d) -1302 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -25*b**2 - b + 12. Calculate w(2).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -332*j - 2320. Calculate the smallest common multiple of x(-7) and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 57017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -546 + 544. Let v be (d + 16\/6)*(-870)\/(-116). Solve 2*u = 3*k - 25, 5*k + 0*k - 50 = v*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 4*u - u + 0 + 0 - 2*u - u + u + 0*u + 0*u + 2*u + (0 + 1 + 0)*(2*u + u - u) - u + u - 2*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**4 + 140*q**3 - 148*q**2 - 140*q + 144 = 0.\nAnswer: -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 - -110. What are the prime factors of (16 - 13) + 127\/m?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 39638 and 0.072.\nAnswer: 39638.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**3 - 198*i**2 + 1207*i + 310. Give n(32).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -14.627?\nAnswer: -14.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 444887563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2813326 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*h - 484 = 124 + 436 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z - 5. Let f be u(4). Suppose c + 3*c = 3*o + f, 10 = -2*o. Which is greater: c or -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 8*w**2 + 2*w - 14. Calculate p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1467 divide 60425115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7173*y - 30*y**2 + 7173*y.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7786 - 4109. Suppose -10*k + d - 947 = 0. Does 35 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tccllcclcllccctlll. Give prob of sequence tt.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 324 - 85. Does 28 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by -75.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -573, 0.16, 5, 5\/23, 0.5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -4\/5, 0, 4\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2409?\nAnswer: -1\/803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11397 * 0.3.\nAnswer: 3419.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -1207141?\nAnswer: -1207153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2\/5 + 44*l\/5 - 114\/5 = 0.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 3. Suppose 6 = -2*s - 0*s. What is the remainder when 34 is divided by t(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5370)\/1432)\/((-2)\/(-8)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/(-88) + (0 - 1))\/(14\/84)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 3*l - 3*l + 119*l**2.\nAnswer: 119*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014018712 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 + 15*u - 10*u**2 - 21 + 4*u**2. Is 11 a factor of i(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 346*i - 1322*i - 1023*i + 1765 wrt i?\nAnswer: -1999","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94075 by 3.\nAnswer: 94075\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -31. Let c = k + -9. Let r = 0 + c. Solve g + 3 = -r*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*o = -17, 2*p - 33 = -3*o + 1. Let z be 2*(-10)\/(-16)*1*8. Let s = 54 + z. What is the remainder when s is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 55*t**3 - t**2 - 9*t**3.\nAnswer: -64*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 25. Suppose 0 = -4*s - 2*u + 8 + 2, 15 = -3*u. Let y = s + t. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*c = 116*c + 51 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2, -4, 2\/87, -0.3, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69065838 to the nearest integer?\nAnswer: 8311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(5\/2 - 1). Let n(d) = -d**2 - 9*d + 2. Let v be n(p). Find the third derivative of -3*c**2 + 18 - 18 - v*c**4 wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(440\/(-11) + 7). Suppose -u*l + 94 = -5. Suppose 3\/5*p - 1\/5*p**l + 2\/5 + 0*p**2 = 0. What is p?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a43 + 463?\nAnswer: 21a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 523, 1047, 1569, 2089, 2607?\n\"Answer: -q**2 + 527*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Simplify c*c\/(c**(-4\/15)*c)*c*c\/c**(2\/5)*c assuming c is positive.\nAnswer: c**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197289730 rounded to the nearest one million?\nAnswer: 197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*m**3*y**3 - 210*m**3*y + 3*m**2*y**2 + 4129*m*y**3 - 2*y**3 wrt m?\nAnswer: -246*y**3 - 1260*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924 a factor of 16125044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 2*r - 6*r = 119. Let q(b) = 2*b - 17. Let k(n) = -n + 9. Give r*k(h) - 3*q(h).\nAnswer: h - 12","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhuuuuukuuhuuuhuku. Give prob of sequence kh.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2072 and -1623.73.\nAnswer: -1623.9372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1347132*n + 2694268*n - 1347133*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2080)\/24)\/5*936\/130*(-30)\/(-48)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -5*q**3\/3 + 107*q**2\/2 + 2*q + 681. Calculate o(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofvwxccvffwf. What is prob of picking 1 v, 1 o, and 1 w?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1460)\/(-8)*(-40)\/1. What is r rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ott. What is prob of picking 2 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1063*b**3*t - 4*b**3*x**2 + 421*b**2*t + t*x**2 - 2*x**2 + 7080*x + 18 wrt t?\nAnswer: -1063*b**3 + 421*b**2 + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5641297865?\nAnswer: 5, 7, 161179939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1852 is divided by 188.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t*t**(3\/7)*t*t)*t*t**(-4\/5)*t**(2\/39)*t**(-6) assuming t is positive.\nAnswer: t**(-12527\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 11:45 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*v + 3*v. Let d(m) = -m**3 + m**2 - 10. Let s(x) = 8 - 2 + 0. Let p(f) = -17. Let o(y) = 4*p(y) + 11*s(y). Calculate v*d(w) - 9*o(w).\nAnswer: -2*w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((44 - 11) + -17 - 3) + -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 1)*(35\/(-25) + 1). Let s be 26\/w + (-9)\/(-3). Is ((-152)\/14)\/(s\/(-56)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/((-3600)\/50))\/((-28)\/(-24)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 2*m + 3*m**2 + (-5 + 0 + 0)*(9*m**2 + 17*m - 17*m).\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j - 17 = -n, -5*n + 5*j = -5. What is the greatest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 8:27 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 22 = -5*y. Let p(h) = 7*h + 1. Let x(w) = 13*w + 3. Let u(m) = 5*p(m) - 2*x(m). Let n be u(y). Round n to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23541 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 95*s - 99*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 4*q**2 - 5*q + 4. Give g(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 191215299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -25, -4*o + 3 = 6*q - 1. Let l(r) = r**3 + 11*r**2 + 5*r - 2. Let w be l(-6). What is the greatest common divisor of w and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3135)\/198 - -16)*-11?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 3. Let a be (3 + -15)\/(0 + -2). Let p be b(a). Solve 2*d = -4*v + 28, -5*d - 5*v + 30 + p = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 34*v - 9 = 37 - 8, 2*b = -2*b + 7*v - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 + 24 = 0. Let i(o) = o**2 - 9*o + 10. What is the lowest common multiple of 4 and i(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2)*(-2)\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 1483. Let a(z) = -16*z. Determine a(l(r)).\nAnswer: 16*r - 23728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109355?\nAnswer: 5, 21871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*2*1\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*m + 27, -5*m = -6*z + 11*z - 55. Suppose -z*i + 60071 = -26*i. What is i rounded to the nearest one hundred?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10042910 to the nearest integer?\nAnswer: 3169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 16*l + 7 = 0. Suppose 3 = -3*n - 0. Let s be (-77)\/(-21) - n\/3. Solve -j = 3*m - s, -j + m + m = l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(13)*3 + 3 + sqrt(117)\/sqrt(9).\nAnswer: 3 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(228)*4 - (sqrt(228) + 4*sqrt(228))*-1)\/(-2*(sqrt(192) + (sqrt(192) - -1*sqrt(192)))*-5).\nAnswer: 17*sqrt(19)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 - 123*p + 117. Calculate f(-42).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (3 + (-20 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73966 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/175 + 22*1\/35?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -118*o**2 - 2922. Let r(v) = -4*v. Determine w(r(j)).\nAnswer: -1888*j**2 - 2922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8650556 is divided by 10511.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 913?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 9 - 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.468 and -0.6.\nAnswer: -8.0808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26607 - -b4?\nAnswer: -26533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**18\/g**(-14))\/(g*g**9*g\/((g\/(g\/(g*g\/g**2*g)*g))\/g)*g*g))**(-1\/2) assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 3, -179?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2462640.9 and -1478?\nAnswer: 2464118.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4*r - 12, y + 6 = 5*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 2)\/(3 - 378\/128). Let z = x + 65. Solve z = -4*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-2\/7)*l))**(5\/7)*((((l**2*l)\/l)\/l)\/l)**(-34) assuming l is positive.\nAnswer: l**(10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4701.315cm to millimeters.\nAnswer: 47013.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17902 (base 10) to base 14\nAnswer: 674a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*-17.5964\nAnswer: -70.3856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:24 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1093 - 2*p + 2522 - 54.\nAnswer: -2*p + 1375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -455 (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2. Suppose -d + 4*h = -0*d + 12, 32 = 3*d + 5*h. Let o = -2 + d. Let q(r) = -r**2 + 0*r**2 + 0*r**o. What is q(k(f))?\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnwvnwxnnnnxnxn. What is prob of sequence ww?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(123\/((-4797)\/(-52)))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262792818.\nAnswer: 2, 3, 2819, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*i - 6*i**2 - 7*i**2 - 3*i**2 - 8*i**2 + 1 + 26*i**2 to x*i + s*i**2 + u and give x.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3538302, 3538301, 3538300, 3538299, 3538298, 3538297?\n\"Answer: -j + 3538303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/3)\/(((-22)\/2)\/11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7*y + 4. Let n = 4 - y. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 21. Suppose 0*i - q*i + 108 = 0. What is the remainder when 79 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.25653 (b) 4\/3 (c) -0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*u - 293, 5*u - 78*c + 80*c = 499. Let f = u + -91. Solve -f*q - 24 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14181343 to the nearest integer?\nAnswer: 3766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -c - 14 + 7, 17 = -3*c - 5*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000033658 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/10039 or 0?\nAnswer: -22\/10039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Let 7 + d*s - 2*s + s - 9 - s**3 = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*c**3*l**3 + 6*c**3 + 101*c*l - 3*l**4 + 3*l**2 wrt l.\nAnswer: 222*c**3*l - 36*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1657*p - 436*p - 64713. Suppose 2*d - 730 = -0*d. What is the remainder when d is divided by p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 3*f + 6573 - 6636 + 0*f.\nAnswer: -3*f - 63","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.36 + 2.76. What is the fourth smallest value in 0.5, 6, -0.11, r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269398 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.96 + 2.9. Let v = u + 0.26. Round v to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25118 = 2813*n - 10142 - 4122. Suppose -o - 2*f = o - 4, 5*f + 10 = -o. Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 689001*1.6.\nAnswer: 1102401.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34793, -34654, -34425, -34112, -33721, -33258?\nAnswer: -32729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*((-5 - 4 + 4)*(0*d**2 + 0*d**2 + d**2) + (-3*d + 3*d + 2*d)*(-558 - 2*d + 558)) in the form l*d + h*d**2 + g and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 10 = -4. Let x be 9\/(-6)*(-6)\/w. Solve -x = 5*m + 16, m + 20 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 2*v**2 + 5*v - 8. Determine d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-5 - 1 - -4). Suppose 28 = g*z - 5*u - 32, 40 = 2*z + 4*u. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18520339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*q**3*u**3 - q**3*u + 2*q**2*u**2 + 8*u**2 wrt u.\nAnswer: 456*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3760.61ml to litres.\nAnswer: 3.76061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -1\/3 (c) 4\/5 (d) -1\/6 (e) 41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 417, 414, 401, 372, 321, 242?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**13*m**(-4\/3)*m)\/(m*m**20)**(-4\/3))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5.7845 times 3073\nAnswer: -17775.7685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g**5\/3 + 686*g**4\/3 + 11968*g**3\/3 + 2312*g**2 = 0.\nAnswer: -34, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 2. Let j be g(0). List the prime factors of (2\/8)\/(j\/(-776)).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 = 0, 0*b + 2*b - r + 5 = 0. Let k be 1\/(3 - (4 + b)). What is the biggest value in 4, -0.5, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1956700722176\nAnswer: 1956700722178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343 - 356 = 3*o - n, 17 = -4*o + n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 31. Let m = -150 - -261. Let r be m\/21 - z\/7. Solve 2*d + 30 = -r*f, -3*d + 3 - 38 = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1985044 to the nearest integer?\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**4\/8 + 10*p**3\/3 + 7*p**2. What is the derivative of u(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0, 2\/173, 15363?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - p**2 + 2*p + 16. What is n(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35408 + 64408. What is j rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5710141 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 8 + 28. Suppose -b - 5*b + 2370 = 0. Suppose i = -a*i + b. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 233\/4. Let n = -27 - -27. What is the closest to -2 in y, n, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*g - 2. Sort g, 0, 4.\nAnswer: 0, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.4132 millennia to decades.\nAnswer: 6241.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -136120.\nAnswer: 17\/136120","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2 + 2)*(-p**3 - 7 + 7) + (p - p**3 - p)*(-p - 10 + 10).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 92*q = 96*q + 9, 10 = i - 5*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -12266.\nAnswer: 6133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1652 - -4915. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143614550 divided by -9.\nAnswer: -143614550\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -23. Suppose 10*s - 15 = 15*s. Does 12 divide (z\/6)\/(s\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, 10, 14, 32, 70, 134, 230?\n\"Answer: t**3 - 2*t**2 - 5*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) + (sqrt(242) + (sqrt(242) - (-5 + sqrt(242))) - sqrt(242)) - (sqrt(2) - (-3 + sqrt(2)*-5))) + -3*3*sqrt(242) + 2)*2)**2.\nAnswer: -3008*sqrt(2) + 70752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 16. Let z be (5 + -2)\/((-3)\/(-4)). Suppose -4*c + 8 = -2*y, 0 = -4*c + 3*y - 2*y + z. What is u(c)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 919 and 244050559.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -6*(sqrt(12)\/sqrt(3))\/sqrt(2) - ((sqrt(1408) - sqrt(1408)*1 - sqrt(1408)) + sqrt(22))\/(sqrt(11)*1*3))*3)**2.\nAnswer: 198*sqrt(2) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -94\/1485 and -43\/3.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 359 - 319. Let z = 44 - p. Solve -11*g + z = -7*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28849259687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*o - 299 = 436, v - 3*o = 159. Let u(t) = 3 - v*t**2 + 147*t**2 - 4*t - 3. Let i(f) = -2*f**2 - 4*f. What is 4*i(d) - 3*u(d)?\nAnswer: d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 minus 2356619?\nAnswer: -2356618.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4752)\/(-55) + 4\/(-10). Suppose -5*t = -14 - j. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(192)*-2*-6 + -2)**2.\nAnswer: -768*sqrt(3) + 27664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -2*k - p, 0*k + 363 = 5*k - 4*p. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1289, -1290, -1291, -1292, -1293, -1294?\n\"Answer: -u - 1288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4275*n**3 - 31*n + 0 - 11*n + 24*n.\nAnswer: -4275*n**3 - 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + -23 - ((-22 - -2) + -1252 + 1275)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9916 to the nearest 100.\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8305675 by -332227.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/4 + 17*j**3\/4 + 57*j**2\/4 + 59*j\/4 + 5.\nAnswer: -(j - 20)*(j + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.65 and -4.\nAnswer: -14.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 - 4*t + 4. Let n(o) = -o**3 + 12*o**2 - o + 15. Let f(y) = -y. Let g be f(-12). Let j be n(g). Calculate h(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/5)\/(18*17\/13770*-3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -0.525871.\nAnswer: 6.525871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187 + 16 - i + 13.\nAnswer: -i - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -392*z**5 - z**3 - 1849*z.\nAnswer: -7840*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54172880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let d(p) = 7 - p - 15 + 8 - 110*p**2. What is d(l(a))?\nAnswer: -110*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 61. Let h(o) = -2 - 1 + v*o**2 + 89*o**2 + 2 + 2*o. Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488 = -2*j - 4*o, -16 = -54*o + 58*o. Let y be j\/68 - 1*(1 - 5). Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k + 2*d, 0 = -3*k + 6*k + 5*d - 6. Let j = -15 - -22. What is the least common multiple of k and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115995632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*t**3 + 57 - 255*t**3 - 178*t**3 + 60 - 117.\nAnswer: -519*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = 14*k - 122 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*-1*4\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 1. Let m(h) = 13*h**3 + 7*h**2 + h - 6. Let q(l) = m(l) - 6*y(l). Give q(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812757 divided by -121?\nAnswer: -6717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2 - -42) + -203 + 195 - 6\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t + 35 - 805. What is the remainder when t is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5748 - 5736. Suppose -f - 2*f = 2*b - 99, 2*b + 99 = 3*f. Calculate the lowest common multiple of f and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391 - 397 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 200?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 21*q**2 + 19*q - 16. Calculate r(20).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 3:22 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -1379, -4769, -11399, -22349, -38699, -61529, -91919?\nAnswer: -130949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 35 = -2. What are the prime factors of -12 + 14 - (-3003)\/n?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*q + 20 = 72*q, 4*q - 18 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 92 - 5 = 3*n, -102 = 2*x + 2*n. Let b be (14\/x)\/((-2)\/438). Do 56 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21*(-36)\/(-378))\/(-1)*((-102)\/(-84))\/(-1).\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1413 - -13?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -277, -502, -747, -1012, -1297, -1602?\n\"Answer: -10*d**2 - 195*d - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 119 = 3395. Calculate the remainder when u is divided by 467.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*o - 4 = -h - 57*o, -11*h = 3*o + 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13870*p - 24466*p - 11294*p - 7518*p + 10784*p.\nAnswer: -46364*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97118 is divided by 98?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32237990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -98106 (c) -5 (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0059653 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 130717, 261369, 392023, 522679, 653337, 783997, 914659?\n\"Answer: g**2 + 130649*g + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*c = -28, -26*q = -30*q + 5*c - 50 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 9:24 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12916 - 8899. Suppose m = 9*t - 3534. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87115 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33364, 35958, 38546, 41122, 43680?\nAnswer: 46214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (3 - 0) - -14. Let j be 6 + (-24)\/3 - -13. Let r = j - i. Put r, -4, -3 in ascending order.\nAnswer: r, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 = -x + 4*i, 17*x - 2*i = 19*x - 2240. What is the remainder when x is divided by 188?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, r: 8}. Give prob of sequence yyry.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3176, -6368, -9574, -12794, -16028, -19276, -22538?\n\"Answer: -7*m**2 - 3171*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466376529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 + 3.85. Let z be (2 - (-2 - -2))\/(-3). What is the third smallest value in b, 3, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 + 185. Let n = 127 - t. What is the remainder when 239 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1631, -2747, -3349, -3437, -3011, -2071?\n\"Answer: 257*k**2 - 1887*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r, -r + 8 = 4*x - 0. Let z(w) be the first derivative of -1\/2*w**x - 2*w + 2. Find the first derivative of z(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x\/(x**(-1\/5)\/x)))*x*x)*x*x\/((x*x**(-5)*x)\/x))**(-44)*((x*x\/(x\/x**(-5\/2))*x)\/x**2)**(-1\/10) assuming x is positive.\nAnswer: x**(-2459\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-76)\/(-2) + (-2)\/(-1). Let m = a - 10. What is the remainder when 118 is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 215, 355, 429, 401, 235?\n\"Answer: -6*d**3 + 3*d**2 + 173*d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - 5*g - 4*g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1709 = 9*y + 1583. Calculate the greatest common divisor of 3290 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**3\/3 + 5*q**2\/2 + 3*q + 3. Suppose -4*d + 10 = u, -5*u + 7 = -d - 22. Calculate j(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -391588 smaller than -391592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x. Let q(p) = -96*p**2. What is q(u(o))?\nAnswer: -3456*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 10 - 3 + 0*b)*(-1112*b**2 + 550*b**2 + 531*b**2 - 2*b**3) to the form z + w*b + o*b**4 + f*b**2 + p*b**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 1981?\nAnswer: 29\/1981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18e0 (base 15) to base 3.\nAnswer: -21101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 5 + 2\/3*c**3 - 2*c**2 + 2*c. Factor m(o).\nAnswer: 2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -102 + ((-6)\/(-2))\/1. Let j = -16 - t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798 = 4*m + 642*r - 645*r, -4*m + 5*r - 802 = 0. Sort m, -1, -13, 3 in increasing order.\nAnswer: m, -13, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 q when four letters picked without replacement from dqqdqdd?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 3*x**5\/5 - x**4\/2 - 4*x**3 + 46. Find the third derivative of i(y) wrt y.\nAnswer: 72*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*m + 4401 = 4410, 3*x + 3*m = 9*m - 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*a = 0, 22 = 4*b + 2*a - a - 4*a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.84.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -119*25\/1275*12\/70\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 10. Suppose 0 = -5*v - 5, 5*r = -d*v - 75 + 1308. List the prime factors of r.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 196.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/((-1)\/8). Let r(k) = -3*k**2 - 2*k - 1. Let o be r(-1). Let j be ((-2)\/5)\/(o\/20). Solve l*t + t - 3 = -m, 3*m = -j*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8690652 less than -8690679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 7. Let w(o) = 4*o**2 + 4*o - 68. Let s(z) = 3*l(z) - w(z). What is s(-11)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.61 - 0.81. What is the nearest to 2\/3 in 2\/7, i, -1\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2576*r + 2576*r + 4*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -535 - -532. Let x = 7 - 5. Let l = x - -2. Put 2, m, l in ascending order.\nAnswer: m, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321.185 times -0.1\nAnswer: -32.1185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871188739 to the power of 1\/3, to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3 + (-14 - 0)). Let p = t - -81\/68. Let j = -0.0215 - -1.0215. What is the nearest to -2 in j, 3\/5, p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105284493 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and -0.164.\nAnswer: -0.2952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and -5*11\/((-22)\/20)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 11 + (0 + -9 - (100 - 106)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18c8184 (base 13) to base 8\nAnswer: -37075052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*w - 5*w + 119 = 0, w - 5 = 0. Let b = t + -286\/5. Let n = 1872\/7 - 267. Sort n, 0.3, b.\nAnswer: b, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -6*g + 10. Let w = g - 28. Suppose -8*h + w = -746. Calculate the highest common divisor of h and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -581.982 - -582. Let p = -0.017164 + h. Round p to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 11. Suppose -3 = 3*r - 21. What is the least common multiple of d and (-55)\/(-15) + 2\/r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53947)\/16258*22\/3?\nAnswer: -73\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -309*q*x**2 - 3*q*x - 2*q + 4*x wrt x.\nAnswer: -618*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:13 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8999881 centimeters?\nAnswer: 8999881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*i = -265*i - 750. Solve 43*a - 7 = i*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/4 + 5 + -2. Let b = -4 + h. Suppose 0*i = i - b. Calculate the highest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5631477107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6030589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085 a factor of 1997410558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**3 - 5705*f**2 + 34365*f - 51615 = 0.\nAnswer: -1147, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/12195?\nAnswer: 2\/12195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -2, -5, 32, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 3*y - 24 + 2 = -10*y + 18*y, 2*w + 61*y = -307 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 9*u**3\/2 + u**2\/2 + 7*u + 20. Let n(g) = -2*g. Let h(k) = -9*k. Let x(m) = -6*h(m) + 26*n(m). Calculate x(q(i)).\nAnswer: 54*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -3, 111, 112 in increasing order.\nAnswer: -3, 2, 3, 111, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745 at least as big as 2752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 1\/6*p**3 + 0*p + p**2 - 1\/12*p**4 + 0. Let t be 22\/(-18) + 8\/36. Give a(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -186 - -203. Let g = w + 136. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1774014?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-2)\/(-2)*-1. Let y(t) = t**3 + 6*t**2 + 3*t - 6. Let p be y(w). Let o be p\/(((-6)\/(-5175))\/2). What is o rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1206*y + 108460. What is v(-90)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1854671.\nAnswer: 7, 13, 89, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1080 divided by 5\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 3. Let i(h) = 2*h - 6. Suppose 3*j + 2*j - 25 = 0. Let t be i(j). Sort o, -5, t in ascending order.\nAnswer: -5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9039 or -47279?\nAnswer: 9039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (6 - -6) + -19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47195 + 9043.7.\nAnswer: -38151.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -502 - -9318.\nAnswer: 8816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 892 - 892. Suppose -4*g + 3*h + 281 = 0, -3*g + 4*h - 94 = -4*g. Suppose 0*t = 5*t - 3*s - g, -2 = -s. Solve 5*b - b - t = q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 33. Does 20 divide ((0 + 3)\/d)\/(3\/360)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(3*k - 6*k - 3*k).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 42*l**2 + 218*l - 952. Determine x(-35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*q = -16, -38 = -44*n + 34*n + q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11424 - 4?\nAnswer: 11420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -109054?\nAnswer: 109053.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 235730 to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2232 in -0.5, 2.27, -0.13, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/3*3\/2. Suppose 2*p - 3*p - 5*v = 8, -2*p + 5*v + 14 = 0. Find the third derivative of -2*d**4 - 12*d**2 - 2*d**4 - 4*d**u + d**p wrt d.\nAnswer: -192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1174, 0.4, -4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((2 - (-14 - -9) - -56) + 4 - 10)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from deerwwwydyyre?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 13. Let v be ((-9)\/189)\/(6\/18) + 30\/14. Determine x(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4*u - u. Suppose k + 5 = 2*k. Let y = 2.1 - 1.1. What is the nearest to u in k, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, 6\/11, -3\/2, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -328 + 327.8. Let q = 7 - 24. What is the second smallest value in 0.3, g, q, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - f + 2 = -i, -i + 5*f = 10. Suppose l = -i + 2. Solve 3*y + 4*q - 20 = 0, q = 4*y + l*q - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 26*s**2 - 59*s - 68. Determine r(28).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 2, g: 1, s: 4, q: 10}. What is prob of sequence ig?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304002737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 90 = -4*u. Suppose -3*y + 46 = -2*g - 124, 3*y + 4*g = 164. Calculate the common denominator of (-14)\/(-28) + y\/u and -13\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 + 3*i**2 - 2*i. Let m be t(2). Let w = m + 18. Solve -w*z + 3 = f, 5*f + z + 9 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.09 - 0.11. Let z = -0.0263 + -2.0037. Let o = g - z. Which is the biggest value? (a) o (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 252, 426, 616, 816, 1020, 1222?\nAnswer: 1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -24. Let o = -7.7 - m. Let n(i) = i**3 - 48*i**2 - 46*i - 151. Let j be n(49). Which is the biggest value? (a) o (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3401444143 (base 5) to base 3.\nAnswer: 112000122122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*-5745.3\nAnswer: -22981.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22 - 4\/((-20)\/5)*1. Is 12 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*z = 588. Let d(i) = -12*i**2 + 427*i + 182. What is the least common multiple of z and d(36)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 906 - -143. Suppose -7*w = -8*w + t. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 4, v: 1, l: 3, c: 1, i: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:21 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dcdcddcd?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7181 + 7180.94. What is the closest to k in -1, 9\/7, -1\/8, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**3 + 20*u**2 + 13*u + 16. Let k(s) = -2*s**3 + 10*s**2 + 6*s + 8. Let v(x) = -5*k(x) + 3*p(x). List the prime factors of v(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + l + 290 = 303, 17 = 3*y - 4*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/18))**(-2\/103)\/((q\/q**(4\/13))\/q**(-3\/8)) assuming q is positive.\nAnswer: q**(-103001\/96408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.175 + 133.175. Let t = j - 132.4. What is the second biggest value in -1, t, -2\/21, -0.1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10643 (base 11) to base 14\nAnswer: 5890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3326 = -5*p - 811. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 77580, 75602, 73624?\n\"Answer: -1978*t + 79558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 9:41 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 15 = 3*p - 8*p, 0 = -4*z + 4*p + 12. Solve -3*w + 15 = 2*f, -3*w + w + 4*f + 10 = z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 208 + -40 + -98.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102, -95, -84, -69, -50, -27, 0?\n\"Answer: 2*t**2 + t - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898064 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: Calculate the remainder when 5295630 is divided by 278717.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/25 (b) 382 (c) -3\/7 (d) -141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*g**2 - 796*g**2 + 243*g**2 + 176*g**2 + 178*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 1487468.\nAnswer: 1487467.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13645 divide 588372400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -19. Suppose -g = -3*g - 5*d + 10, m = -4*d. Let x = -0.34 - 0.06. Which is the biggest value? (a) g (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 89. Let d(q) = -5. Calculate -6*d(h) - i(h).\nAnswer: h - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:26 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15958074?\nAnswer: 2, 3, 11, 43, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -235, -234, -231, -226, -219?\n\"Answer: k**2 - 2*k - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -1714\/461?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4125, -8247, -12369, -16491, -20613?\nAnswer: -24735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -193 less than or equal to -967\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 417698*i**3 + 111957688*i**2 + 3919360*i + 34304.\nAnswer: 2*(i + 268)*(457*i + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6211 (base 8) to base 3\nAnswer: -11101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by -3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*((sqrt(56) - sqrt(504)) + sqrt(56) - sqrt(56)))\/(-2*(1*sqrt(40))\/sqrt(5)).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.8*2.3\nAnswer: 6.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77511 + 77507 - 232529 - 5*w - 4*w + 5*w - w**3 + 77511.\nAnswer: -w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1588 + -847. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118653373?\nAnswer: 229, 518137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 51.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1200 by 6.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218322?\nAnswer: 2, 3, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98.1 - 98. What is the nearest to 4\/9 in y, 6\/5, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-3))\/((-10)\/(-15)). Let t = 1 + 1. Suppose -2*r - 22 = -4*z, 0*r + 4*r = z - t. Calculate the highest common divisor of z and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*t**3 + 1\/4*t**2 + 0*t + 0.\nAnswer: -t**2*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 220 - 219. Find the second derivative of 5*y - 12*y - 74*y**2 + 10*y + 0 - t + 2*y wrt y.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 22967*w**2 - 2.\nAnswer: -22967*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2 + -2*(-11)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-27)*5283\/5870*8?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 66 = -24. Suppose -p*n + 19 = 1. Suppose -4*o + 41 = 5*b, -o + n*o - b = 17. Calculate the greatest common divisor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - (0 - (25 + -55))) + 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, 0.16, 4\/7, 0.05?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13053\/2 - 6525. Let m(p) be the first derivative of g*p**2 + 35 + 0*p. Let d(y) = -2*y**2. Determine d(m(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 9. Let d be f(-6). Let -b**3 - d*b**2 + 0*b**2 + 4*b**3 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157682 and 882?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491891 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 o = 478.2 - -305.7. Let v = o - 784. What is the fourth biggest value in v, 4, 1, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -365 and -1064 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -11. Let o be ((-100)\/2)\/(2 + q). Suppose 0 = -10*w + 8*w + o. Solve t + w = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3573 - -6512. Is i 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 2047313?\nAnswer: 29, 227, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (50 - 23 - 22 - 6) - (2 + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 15. Let y be m(-12). Let g(n) = n**2 + 3*n. Let p be g(-2). Is 21 a factor of (y\/p)\/((-3)\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 4)*(3*a**2 - 7*a**2 + 2*a**2) + 7*a**2 - 3*a**2 - 3*a**2)*(-3*a + 0*a + 6*a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 1589234 and 4767698\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -104, -103, -102, -101, -100?\n\"Answer: w - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-6*(sqrt(52) + (-2*sqrt(312) - sqrt(312))\/sqrt(6)))**2 - (sqrt(156)\/sqrt(3) + 1 + (sqrt(156) + (sqrt(156) - sqrt(156)*-2))\/sqrt(3))).\nAnswer: -10*sqrt(13) + 7486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 99992, -9 in decreasing order.\nAnswer: 99992, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -5)\/((-41)\/40 + 1). Calculate the common denominator of 11\/5 and 45\/12*b\/(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -547, -883, -1237, -1603, -1975, -2347, -2713?\nAnswer: -3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, and 1 a when three letters picked without replacement from {d: 2, a: 2, r: 4, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -623 - -622. Put -9, s, 2\/3, -3 in descending order.\nAnswer: 2\/3, s, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*v - 7 = 0, -5*b = -0*v - 4*v - 19. Let d = b + -21. Calculate the smallest common multiple of (-4)\/(-18) - 32\/d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2432.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 0.01 (b) 0.09 (c) 738\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.985 + -13.984998512. What is r rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - 8. Calculate the common denominator of 1*-43*3\/21 and 4\/q - (-520)\/198.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 16*w**3 + 81*w**2 + 115*w - 179. Is j(26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 8928.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + (sqrt(162) - (sqrt(162) + -2)**2) + 3.\nAnswer: -163 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/6)\/d*d\/(d*d*d\/d**7))\/(d**2*d*d\/(d*d**(-7\/5))*d) assuming d is positive.\nAnswer: d**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/22 and 71\/140.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xab when three letters picked without replacement from {b: 3, k: 9, x: 1, a: 1}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 274185 + 3834446. Suppose 3*s + 4*o - 7199988 = 0, -3*o = -3*s + 3091378 + w. Round s to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1036 > -1064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v + 2 - 44*v - 2.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 53, 157, 2 in descending order.\nAnswer: 157, 53, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 25*y**3 - 320*y**2 - 7165*y - 6820 = 0.\nAnswer: -11, -1, 124\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2382153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0*(-8)\/(-40))\/(-4). Put 3, -1, 17, l, 1 in increasing order.\nAnswer: -1, l, 1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213101 (base 4) in base 5?\nAnswer: 40023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -967 + 1662. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3998, -26 in descending order.\nAnswer: 2, -26, -3998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1145856 + 1790635. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)\/((t*t\/((t*t\/(t**(-1\/37)\/t)*t)\/t)*t*t)\/t))\/(t**2*t*t\/t**1) assuming t is positive.\nAnswer: t**(-403\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 30. Let m(t) = t + 13. Let o be m(x). Determine p so that 1\/4*p - 5\/2*p**o - 5\/4*p**5 + p**3 + 1\/2 + 2*p**4 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 24249 = -a, 4*q - 72755 = -3*a - q. Let y be (-4)\/((796\/200 + -4)\/a). What is y rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 645127 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4047 + -1029. What is a rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73439.02m in kilometers?\nAnswer: 73.43902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -373 + 372.9. Which is the second smallest value? (a) l (b) -3\/2 (c) -0.3 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -3\/2*j**2 + 4*j**3 - 2*j - 33 - 7\/4*j**4. What is p in d(p) = 0?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52636 + -32658. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/28982 and 109\/98.\nAnswer: 1420118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -8668?\nAnswer: -5\/8668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**8*o)\/(o\/o**29))\/(o**(1\/6)*o)**(3\/32))**2 assuming o is positive.\nAnswer: o**(2361\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 845154678 - -4.\nAnswer: 845154682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = 0, -33 - 37 = -2*d - 2*g. Let l = -11 - -17. Suppose k = l*k - d. Solve m + 5*b = -0*m - k, 2*b = 3*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 minus 0.28?\nAnswer: -38.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.915108 to 1 decimal place.\nAnswer: -99.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 270? (a) 16\/7 (b) 0.09 (c) 1 (d) 5 (e) 6 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 25. Let d be n(-12). Let s(o) = -o**2 + d + 25 - 48*o + 46*o - 23*o. Does 28 divide s(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220123 - -4421023?\nAnswer: 4200400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346 - 36*q**3 - 335 + 681.\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 136. Calculate the remainder when 101 is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7*m = 2*m - 30, -m = 2. Solve -4*w - j*r = 14, -5*r = 2*w - 3*r + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(19)*2)**2*3 + 2*(1 + sqrt(19) - sqrt(19)) - (sqrt(76) + (sqrt(76) + (sqrt(76) - sqrt(76)*2) - sqrt(76))**2 + 1*sqrt(931))).\nAnswer: -9*sqrt(19) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.51 (c) 0.9 (d) 4 (e) 67.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u + 36. Calculate y(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 3. Let a be n(0). Suppose -35 = -3*s + s + l, -5*l = 5. Suppose -s = -2*q - 13. Solve q*r - 4 = a*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 - 122. Let g = -4 + 5. Solve 2*x - u - g = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/(4 - (-2780)\/(-696)). Let v = -41 + q. What is the greatest common divisor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*p - 16976, -2*q + 9*p + 33968 = 7*p. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 11492?\nAnswer: 34476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86820405 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1687, -3372, -5057, -6742, -8427?\n\"Answer: -1685*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19794, -39605, -59442, -79305, -99194?\nAnswer: -119109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-277*u - 4817 + 4817)*(2*u + 4*u - 4*u) to c + x*u + a*u**2 and give a.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13 + 9*n**2 - n**3 - 4*n - n**3 + 8*n**3 - 7*n**3. Let o be v(9). Let a = o + 39. Solve q = 5*q + a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t + 121. Let s be l(-14). Let z(a) = -7*a**3 - 2*a**2 + 8*a. What is the tens digit of z(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(91) - (sqrt(91) - sqrt(91)*1 - sqrt(91)))*1)\/(-2*(sqrt(7) + 1*sqrt(7)) + -2*sqrt(252)))**2.\nAnswer: 13\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.0297299.\nAnswer: -0.01189196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*x**5 + 2*x**4 - 710*x wrt x.\nAnswer: -1040*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -8. Is q\/(-1)*(-22)\/1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 2:31 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1024750, -1024749, -1024748, -1024747?\n\"Answer: a - 1024751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = 3*t. Suppose -6 = t*z - 5*z. Suppose 0 = 2*m - z*p - 1 - 1, 12 = -4*m - 4*p. Which is the nearest to 1\/2? (a) m (b) -0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -5*c + 22, -4*l = 8*c - 58716. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1107, -2194, -3265, -4320?\n\"Answer: 8*n**2 - 1111*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 187129 in 1\/2, 23, -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*r**2 - 56*r**3 + 32*r**2 + 1 + 34*r**2 to i*r**2 + q*r + g + v*r**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1121 + -224?\nAnswer: -1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/141120 and -141\/48020.\nAnswer: 6914880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/74284 and -46\/9?\nAnswer: 668556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 167 = 64. Let l = 51 + -149. Let z = l + w. What is the nearest to -1\/3 in 2\/5, z, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -245 = -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -9614320 bigger than -9614321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -132, -323, -602, -975, -1448, -2027, -2718?\nAnswer: -3527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2))**29)**26 assuming o is positive.\nAnswer: o**2262","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 8*x + 8. Let z be q(8). Solve z = 4*j - 6*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60557 and 1795759?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -433 + 450. Sort d, 0.7, 5.\nAnswer: 0.7, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 6 - 100*w - 19.\nAnswer: -100*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 502\/61?\nAnswer: 502\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*y - 8 = -2*g, 4*g - 3*y + 12 = 0. Suppose -4*d = -g*d - 20. Let p(n) be the first derivative of n**2\/2 + 3*n + 19. Give p(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*((sqrt(40)\/(sqrt(48)\/sqrt(6)*-6))**2 + sqrt(180) + -2*sqrt(180) + 0)*2.\nAnswer: -5\/3 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 252*r. Let t(j) = 8*j. Give t(s(v)).\nAnswer: 2016*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17*-148\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19359 + 44858. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.276 (b) 6756 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 5. Let v be r(-5). Let i = -19 + 23. Solve i*s + 5 = v*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3 (c) 7 (d) 5\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, -861, -2\/3 in ascending order.\nAnswer: -861, -19, -4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uufu when four letters picked without replacement from uuuuufuu.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:42 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - 796\/(-12). Suppose -4*n + 230 = -u. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2354030?\nAnswer: 2, 5, 7, 33629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (19 + (-32 - -32)) - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315851.\nAnswer: 315851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 304706956 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 5*l**2 + 6*l - 6. Let x be s(4). Suppose 5*g - g - 8 = 0. Suppose -2*z - 12 - 4 = -x*m, g*z = 6. Solve 5*h + m = -9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 1\/2 (c) -23\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17157629743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8944864 and 63829.\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -r - 6*v + v, 0 = 5*v + 20. Let p = 1 + 2. Let q = p + r. What is the remainder when 13 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.0893, 4, 75.5?\nAnswer: 0.0893","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2873, 476, -1921, -4318?\nAnswer: -6715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (108\/21)\/(100\/(-35) - -3) and 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - 6*l + 27*l - 8*l - 13*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (-23 - (-10 + 6 - 16))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234507 is divided by 5581.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 3759228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1\/7))\/(d**(-2\/5)*d))\/(d\/(d\/d**(2\/3))*d)**(-17))\/((d**(1\/3)\/d*d)**43\/(d**(1\/2)*d**3\/d)) assuming d is positive.\nAnswer: d**(1173\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*sqrt(48)\/sqrt(2) + sqrt(24) + sqrt(24) + sqrt(24))\/(sqrt(144)\/sqrt(2))*-5.\nAnswer: -140*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 2*n + 3*n)*(0 - 5 + 4) - n - 3 + 3 + (1 + 1 + 0)*(-191*n - 181*n + 120*n).\nAnswer: -503*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b + 4*b**2 - 826 + 826.\nAnswer: 4*b*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1020989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122293 is divided by 7041?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 + 2*u - 1. Let g be q(1). Let w(s) = 948*s + 943*s + 950*s - 2844*s + 5. Give w(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015330568 to 6 dps.\nAnswer: -0.001533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16835\/185)\/((-156)\/(-120))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -8942776.\nAnswer: 4471388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 52 = -46. Let z(o) = 2*o - 6. Let i be z(c). What is the derivative of -36*g**4 - i + 4 + 9*g**4 wrt g?\nAnswer: -108*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 1\/5, -379290 in decreasing order.\nAnswer: 1\/5, -1.2, -379290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -57, -84?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (5*(sqrt(448) + 0 + sqrt(448) + 3) - -3*(sqrt(448) + -1 + sqrt(448) + sqrt(448) + sqrt(448))*1))*4)**2.\nAnswer: 39424*sqrt(7) + 3470096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30962173 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 767 = 52. Suppose -31*k = -32*k - 2*z + 57, 5*k - 255 = -5*z. Calculate the remainder when o is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63204561?\nAnswer: 3, 7, 251, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c8 - -366a73?\nAnswer: 366978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 3 + (94 - 81 - (25 + -1) - 34)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2 + (-4)\/(-16)*8. What is the third derivative of 37*w**5 + 38*w**2 + 27*w**o - 32*w**2 wrt w?\nAnswer: 2220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82161 + -0.087.\nAnswer: 82160.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 7:00 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*l - 109 - 34, l = 5*h + 132. Let w(n) = 3*n**2 - 2*n - 2. What is the remainder when l is divided by w(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-5 - 3) + 7). Suppose -242*p + 239*p + 15900 = l. Round p to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 666864 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -123 + -1c?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98368 = -2883*a - 3229 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 5 - 42*m**3 + 0 - 6.\nAnswer: -42*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-71)\/((-1846)\/(-1092)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5662*s**2 - 5420*s**2 - 4*s + 7*s - 4*s.\nAnswer: 242*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 40. Suppose 2*f - 4*w = -24, 2*f - 36 = z*f - 4*w. Let y be 0\/(-3 - f\/3). Solve l + 2*l - 3 = y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 4*s**2 + 6*s - 6. Let g be 6\/(-4)*(-4)\/3. Suppose -g*w - 5*c - 17 = 0, 2*c + 8 + 2 = 0. What is the least common multiple of o(w) and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3393900 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**3 - m**2 + m - 1. Give v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.036 + 1. Let b = -28.6 - -28.5693. Let p = b - y. What is p rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/4 + j**3 - 9*j**2. Let p(a) = -8*a**2 + 3. Let y(w) = -11*p(w) + 6*x(w). Find the first derivative of y(o) wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((8\/156)\/(-2))*(-597)\/(-1791)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24697743, -24697740, -24697735, -24697728, -24697719?\n\"Answer: o**2 - 24697744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*n = -439*n - 621*n - 775*n + 62100 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 662, 2504, 7536, 17360, 33578, 57792?\n\"Answer: 267*r**3 - 7*r**2 - 6*r + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(912) - sqrt(912))\/((sqrt(96)\/sqrt(4))\/sqrt(8) + sqrt(3)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 2 = -c - 4*d, -5*d + 6 = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 5*s**2 + 3*s + 1. Let g be t(-4). Suppose p + u = 0, 0*p = -2*p + 5*u + 35. Solve p*f - 6*x + x - 25 = 0, g*x + 25 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88.8873 * 0.1\nAnswer: -8.88873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -932*l + 7 + 469*l + 464*l. Calculate t(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20835237 and 70053.\nAnswer: 3687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 154 (b) 3 (c) 0 (d) 5\/4 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12622, -12624, -12624, -12622?\nAnswer: -12618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-153476)\/(-22) + 286\/(-1573)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118784 - 2336*p**2 - 118773 + 13*p - 3*p**5 + 2*p**5 wrt p.\nAnswer: -20*p**3 - 4672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccaacacrcccpccrrcsy. What is prob of picking 1 y and 1 a?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -96448 and -96447 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 + 6*v. Let z(l) = -5*l**2 - 5*l. What is -6*g(c) - 7*z(c)?\nAnswer: 5*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7445*d**2*g*y**2 + 193751*d**2*m*y**2 - 5*d**2*m - 3*d*g*y**2 - d - g*m + 214*g*y**2 - 2*y**2 wrt m?\nAnswer: 193751*d**2*y**2 - 5*d**2 - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 5*r + 22, 3*c + 2*r = 5*c - 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005016261 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10845\/(-4) + 8\/32. Let l = i - -924. Let q = 2985 + l. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.3 (b) 5\/2 (c) -3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-10))\/(2\/15). Let k(z) be the first derivative of z**2\/2 - z + 4. What is the least common multiple of k(p) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.085*-1.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 + 3*i - 2. Let t(l) = 7*l**3 - l**2 - 7*l + 5. Let k(j) = 9*p(j) + 4*t(j). Let g be k(4). Is g > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4735, -4733, -4727, -4717?\nAnswer: -4703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1101000110011 (base 2) to base 11\nAnswer: 5048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 5, 6 in ascending order.\nAnswer: -10, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 564913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from xxxjxxxjxjxjk?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*z**4 - z**2 + 14*z**4 + 5*z - 50*z**4 + 24*z**4 + 5*z**3 in the form o*z**4 + x*z**3 + r*z**2 + b + n*z and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-4876)\/299 - (-23 + 14)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4191 and -89\/1016.\nAnswer: 33528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5178*z**2 + z + 2 - z.\nAnswer: -5178*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 144725, 289879, 435033, 580187, 725341?\n\"Answer: 145154*a - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - t - 35 = -5*y, 5*y + t = 45. Solve 3*o = -10*g + y*g + 22, -3*g - 1 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -46*q - 25. Suppose 8 = -3*m - 10. Let w be t(m). Suppose w = 5*d + 71. What is the greatest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:10 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgv when three letters picked without replacement from llglaval.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-260)\/(-39)*(-6)\/(-4). Let w(u) = 10 + 67*u - p - 3. List the prime factors of w(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -26 (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + 10.07. Let s = -21 + f. Let d = s - -6. What is the third biggest value in d, -2, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -13.2?\nAnswer: 1.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9710?\nAnswer: 2, 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7028 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -8 + 23 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2013 (base 4) to base 5\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w + 3*c + 33, -2*w - 5*c + 57 = 0. Suppose 0 = 6*g - 2*g - w, -7 = 5*f - 3*g. Let n(u) = -u. Calculate the remainder when n(-3) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2688403746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7365, 14798, 22231?\nAnswer: 29664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609428 is divided by 37428?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/(-14))\/(-1 - 249\/(-246)). Let f = y + -21. Suppose f = 5*v - 1433. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27 + 6*2\/(-4). Suppose 2 = -2*g - 2*v, 0*v = g - 4*v - m. Suppose 112 = -0*l + 4*l. What is the highest common factor of l and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (16\/(-6))\/((-24)\/180) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*b + r, 73*b + r + 15 = 71*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9872 + 420*r + 9867 - 19739 as t*r + o and give t.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-108)\/48)\/((-3)\/(-10))*-2. Suppose -4*b + 3*b = -2. Suppose b*u - n = 3. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/44 and -21\/164?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 21. Let t(f) = -f - 9. Give -2*r(y) + 5*t(y).\nAnswer: -3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 7. Suppose -4*t = 5*k - 2*k + 27, g*t - 3*k = 0. Let p(f) = -f**3 - 3*f**2 + 4. Let m be p(t). Solve 0 = 4*c - 3*c - m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1270\/3 - -54604\/129. What is the smallest value in r, 0, -1, -0.2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-44))\/(15\/(-6)*(-23)\/690)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 1:31 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 1440 - 204. Suppose -12*t + 665 = q. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 332*z. Let c be (0\/2 + 6)\/2. Let i be x(c). Let n = 6961\/7 - i. Calculate the common denominator of n and -87\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5493663 divided by -1?\nAnswer: 5493663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**7\/14 + 1053*u**6\/40 + 55753*u**5\/20 + 32655*u**4\/8 - 11025*u**3 - 71*u**2 + 2*u - 14. Find j, given that l(j) = 0.\nAnswer: -105, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 2 - (0 - (-1 - -4)). Suppose a*s = 284 + 20. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1565 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {m: 1, f: 3, r: 2, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/3*(42\/(-12))\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18385, -18338, -18211, -17962, -17549, -16930, -16063, -14906?\n\"Answer: 7*l**3 - 2*l**2 + 4*l - 18394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*k = -51*k - 48*k - 543 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**8\/7560 - j**6\/405 - 19*j**3\/3 - 3*j**2 - 11*j. Let s(g) be the first derivative of b(g). Solve s(l) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-12))\/((-6)\/(-24)). Suppose -u*l - 2 - 7 = r, 3*r - 3*l - 21 = 0. Let j = -1 - 2. Sort j, 0, 1\/8, r in increasing order.\nAnswer: j, 0, 1\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snn when three letters picked without replacement from {s: 6, n: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 528580049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 267858916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**5\/15 - 82*z**4\/5 - 11332*z**3\/15 - 77748*z**2\/5 - 625086*z\/5 - 551034\/5 = 0?\nAnswer: -33, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*o + 58*o - 116*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 7*q**2 - 4*q + 10. Let o(c) = c**3 - 10*c**2 + 18*c - 11. Let x be o(8). Let y be v(x). What is the highest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(10)*-1)\/(sqrt(180) + (-4*sqrt(180) - sqrt(180) - sqrt(180)))*2)**2 + 3.\nAnswer: 677\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*n + 16, n + 2 = 5*m - 8. Is ((-1918)\/8 - m\/(-12))*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252069 is divided by 1627.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17208 or -137663\/8?\nAnswer: -17208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -859486 + -355965.\nAnswer: -1215451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 3*g**2 + 5*g - 3. Let r(t) be the second derivative of t**5\/20 - t**4\/6 - t**3\/2 + t**2 - 8*t + 19. Determine -5*r(u) - 3*v(u).\nAnswer: u**3 + u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(68)\/(3*sqrt(4)))**2 - (sqrt(102)\/(sqrt(18)\/sqrt(3)*-2))**2.\nAnswer: 8*sqrt(17)\/3 + 491\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42, -123, -242, -387, -546, -707, -858, -987?\n\"Answer: 2*d**3 - 31*d**2 - 2*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 8*o + 488. Calculate i(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2707, 10835, 24381, 43345, 67727, 97527?\n\"Answer: 2709*l**2 + l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 8*i - 6*i + 1)*(-5 + 4 + 2)*(4 + 2 + 0).\nAnswer: 12*i - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8018 - 5125. What is the remainder when p is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 690 + -690. Suppose -3*c + 24 = -3*l, 5*l + 0*l = -2*c - 19. Solve q = -5*t - b - 12, -c*t + 2*t + b = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1222, 4860, 10924, 19414, 30330, 43672, 59440?\nAnswer: 77634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 912 - -732?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 + 4*q**2 - 4*q. Let u(t) = 3*t**3 + 3*t**2 - 3*t. Let b be (8 + -6)*1*2. Determine b*j(k) - 5*u(k).\nAnswer: k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 3\/11, -43\/7, -4, 0.09?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a + 6. Let t(q) be the second derivative of -q**3\/2 - 5*q**2\/2 - 69*q + 2. Calculate -5*h(o) - 6*t(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.036, -9, 1.2, -0.5 in increasing order.\nAnswer: -9, -6, -0.5, 0.036, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1716*n**3 + 2*n**2 - 107*n?\nAnswer: 10296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 9*n**2 + 8*n**2)*(0*n**2 - n**2 + 3*n**2).\nAnswer: 42*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17375*w**2 - 2207*w**2 + 5 + 431*w**2 - 4*w. Let a = -1 + -4. Let r be u(a). Round r to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.016? (a) 3 (b) -0.5 (c) 1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f**3 - 2*f**2 + 1. Let b be q(-1). Let y be 32\/(-6)*54\/(-8). Let t be b\/(-54) - 14\/y. What is the second smallest value in 0.3, 0.5, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -221*h*p**4 - 5*h*p - 4*h + 5*p**2 - 127727 with respect to p.\nAnswer: -884*h*p**3 - 5*h + 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362515 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -75, -115, -155, -195, -235?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d + 10*d + 18*d + 16*d**2 - 22.\nAnswer: 16*d**2 - d - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60623949 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409147236?\nAnswer: 2, 3, 43, 113, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 22*k - 70. Let x be i(-4). Sort x, 1, -5, -2, -1 in ascending order.\nAnswer: -5, -2, -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -10, 132*d + 5*y - 5 = 137*d. Put -6, -2, d in increasing order.\nAnswer: -6, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4403985 rounded to four dps?\nAnswer: 0.4404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 12*l**2 - 6*l + 57. Let p be a(-11). Differentiate 2235*b + 29 + p*b**2 - 2209*b - 3*b**2 + 25 wrt b.\nAnswer: -2*b + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -69, -224, -523, -1014, -1745, -2764, -4119?\n\"Answer: -8*w**3 - 3*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1944634769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8) - -1 - 42\/(-56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 8*v + 14. Let i be f(6). Let r(j) = 270*j**i - 6*j - 2*j - 263*j**2 + j**3 - 10. Calculate r(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/4 - 1917*y**3\/4 - 17335*y**2\/4 + 1917*y\/4 + 8667\/2 = 0 for y.\nAnswer: -9, -1, 1, 1926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0, 3, 6, 2 in ascending order.\nAnswer: 0, 2, 3, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 15*y + 28. Let d(z) = -5*z - 9. Let k(c) = -7*d(c) - 2*q(c). Suppose 5*r = -8*t - 42, -4*r + 2*t - 5*t - 20 = 0. Calculate k(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -573*m**5 - m**3 + 123*m**2 + 445665*m wrt m?\nAnswer: -11460*m**3 - 6*m + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*h + 86*h + 71*h - 403*h + 98*h.\nAnswer: -63*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2.6039, -9\/2, -4, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b5d - 3?\nAnswer: b5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-2)\/(2\/(-57)). Let o(u) = u**3 + 7*u**2 - 8*u - 1. Let b be o(-6). Let q = b - p. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(16)\/(sqrt(20)\/sqrt(5))))**2 - (-4 + sqrt(63) - 3*2*sqrt(7)).\nAnswer: 3*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 9:53 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 170138.9 years?\nAnswer: 17013.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Let x be (1 - u)*3*-3. Let i = -67 - -70. Solve w = -w + 2*z - 4, -i*w - 2*z + x = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/54 and 23\/23909988?\nAnswer: 215189892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092695800 rounded to the nearest 1000000?\nAnswer: 1093000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 137. Does 9 divide j(43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = n + 3*n - 42, -74 = 49*b - 23*b - 36*b - 3*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/13 - 93479422*u\/13 - 186958852\/13.\nAnswer: 2*(u - 46739713)*(u + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300 + -230 + -9 + -6 + 16.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 128*i - 624.\nAnswer: -4*(i - 26)*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 108 - 35)*(u - u - u)*(-6 + 4 - 2).\nAnswer: 460*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {p: 2, i: 11}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1209 - 1129 = -2*k + 13500. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/4 + 1115019*o**2\/4 - 103564904013*o\/4 - 7566181096251\/4.\nAnswer: -3*(o - 185873)**2*(o + 73)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (6 - (4 + -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 9:22 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:10 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from yqvyyvvyvqvq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16701 times 0.3?\nAnswer: 0.050103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5 - (-5673)\/(-930)) + (-21)\/(-3). Solve 0 - h*v**2 + v = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + 5.5. What is the third biggest value in m, -1\/7, 16, -0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*s + 26*s - 16*s + (0*s + 5*s - 3*s)*(6 - 1 - 4).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 115*s**3 - 715*s**2 + 605*s.\nAnswer: -5*s*(s - 11)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5325661152?\nAnswer: 2, 3, 7, 29, 71, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5719*c + 11296*c - 6038*c + 3*c**2)*(-4*c**2 + 3*c**2 + 2*c**2) to the form h*c**2 + y*c**3 + t*c + d*c**4 + b and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -50. Let g be 0 - -192 - (-3)\/(-1). What is the greatest common divisor of w and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 2*a + 6, 0 = 3*g - 11*a + 16*a - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-48633)\/(-172) - (14\/8 + -3).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 214 - 170 = 0. Suppose 0 = -d*r + 1748 + 224. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, 4\/7, 24, 2.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109480297 to the nearest integer?\nAnswer: 10463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6.96. Let o = h - 0.06. Is -0.15 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 220 = -4*n, -2*o + 4*o - 3*n + 222 = 0. Calculate the least common multiple of 8 and o\/(-7) - (44\/(-77))\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/4*6*(-5)\/(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 0\/((-4)\/(-1)). Let m = t + 11. Suppose -10*g + m*g + 90 = 0. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31419 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 + -108. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**2 + 17*b - 1. Is i(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26236 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1200) + sqrt(1200) + (sqrt(18)\/sqrt(54))**2*-2.\nAnswer: -2\/3 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4308 = -3*s, -2*s + 7*s - 3*p = 7194. Let i = s - 1005. Let h = i + -217. List the prime factors of h.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*r**3 - 75*r**3 - 64*r**3.\nAnswer: -228*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85662536*k**3*m + 2*k**3*u**3 - 31*k**2*m*u**3 + 2*k**2*u**3 - 43*k**2*u - 5*m*u + 202*u**3 wrt k?\nAnswer: 513975216*m + 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -107, -5, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27659312638 + -0.1\nAnswer: -27659312638.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -199\/6 + 731\/22. Let a = d + 3\/11. Let 1\/3 - a*o**2 + 0*o = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 - 2 - 5)*(11 + 2*u - 11) - 1 + 2*u + 1 in the form j + s*u and give s.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 50496*d**2 + 2*d - 38. Let o be v(11). What is o rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -100, -204, -310, -418, -528?\n\"Answer: -q**2 - 101*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Let y(c) = -c**2 + 10*c + 11. Let m be y(-1). Is m > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/28066 + -385906\/42099. Let z be (-40)\/(-15)*18\/(-8). Calculate the common denominator of ((-1)\/z)\/((-4)\/105) and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c + 60. What is x(-13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*w - 12. Let n(x) = 5*x**2 - 3*x**2 + 2 - w*x - 43*x**3 - 5*x**2. Let m be n(-2). What is m rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 2*j + 4*j)*(0 - 2 + 0)*(4 - 4 - 10).\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16131800*l**3 + 11582207?\nAnswer: -48395400*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -474.54078 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -469 - 8?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*g**2*v**3 - 1734573*g**2*v**2 - 9549*g*v**3 + 2*v**3 wrt v?\nAnswer: 90*g**2 - 57294*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 470 - 470.00309. What is s rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/3 + 32*u**3\/3 - 30*u**2 + 276*u. Factor y(q).\nAnswer: -4*(q - 15)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:20 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**(2\/5)))\/(u\/(u\/(u*u\/(((u\/(u\/(u*(u**(2\/11)\/u)\/u)))\/u)\/u)))*u)*u**7\/(u*u\/u**3))**(-29) assuming u is positive.\nAnswer: u**(-4437\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403165888 is divided by 2210?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*l + 218*l + 10031*l**2 - 73*l - 81*l as g*l**2 + u + n*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 15*t - 103. Let m be a(7). Let w(l) = 87*l**3 - 10*l**2 - 3*l + 4. What are the prime factors of w(m)?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/27)\/1*336\/112.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f*f**(-6)\/f)*f)*f*f**(2\/15) assuming f is positive.\nAnswer: f**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -29 + 139. Suppose 7*s = 2*s + k. Differentiate -9*i**4 - s - 2 + 0 - 8 with respect to i.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 385175803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -523 divided by 3\nAnswer: -523\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 1. Let o(t) = t**2 - 15*t + 3. Let r(w) = o(w) + 3*v(w). Let u be r(11). Let x(s) = s**2 + 11*s + 10. Let n be x(-10). Which is smaller: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1674, 1683, 1692?\n\"Answer: 9*c + 1665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151.1 - 151.099. Which is bigger: -3\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -131740137*n - 195351141 wrt n.\nAnswer: -131740137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 475820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - a**3 - 5*a**2 + a**3 + 0 + a + a**4 as c*a**2 + n*a + k + p*a**3 + z*a**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1099 divide 300864438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3099 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/5 (c) 0.245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**3*l**(-4\/5))\/(l**0)**(-3\/28))**32 assuming l is positive.\nAnswer: l**(672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/28*((-24)\/(-4) - 5)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = z - 24, 2*r + 198*z - 6 = 199*z. Let b(v) = 3*v + 5. Let g = -3 - -8. Let i be b(g). Solve -r*a - i = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2784 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 423.5 + -424. Which is the nearest to -0.1? (a) 2 (b) 1 (c) y (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -102, -95, -76, -39, 22, 113?\n\"Answer: u**3 - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*c - 1508 = 98*c. Solve 6*y + c - 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*z + 8*z**4 + 27*z + 25*z wrt z?\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-13*78\/9295.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 25. Calculate the remainder when 49 is divided by d(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1554 + -1734. Put -5, -2, f in increasing order.\nAnswer: f, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1.5. Let w = -592.6 + 593. What is the closest to 0.9 in w, v, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yykkyyk. What is prob of picking 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.6*-0.029.\nAnswer: -0.3364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 20 = 0, u + 3 - 17 = 5*v. Let x be ((-8)\/(-10))\/((-1)\/(-5)). What are the prime factors of 54\/(-3)*v\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8006807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) - (-97)\/4. Let z = 15 - 1. Let d = j - z. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17489174 is divided by 5829724.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssgsgsg. What is prob of sequence gsss?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*p + 11*b - 127*p - 2 wrt p?\nAnswer: -2*b - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75598774?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkffqqfqfqqq. Give prob of picking 2 k and 1 f.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39631.\nAnswer: 39631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122392500 = 34*n + 41*n. What is n rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2204 (b) -3\/2 (c) -0.5 (d) -42.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000780025 rounded to 7 dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3315116401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 556*s**3 + 547*s**3 - 2192*s**3 + 2*s - 2*s**4 + 21 + 547*s**3 + 548*s**3 + 2*s**2 as h + d*s**2 + z*s + y*s**3 + j*s**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 358094 minus -0.5?\nAnswer: 358094.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/9)\/h)\/h)\/(((((h*h**(4\/5)*h)\/h)\/h)\/h*h)\/h))\/(h*(h\/(h\/h**(-6\/5)))\/h*h\/h**(-13\/4)) assuming h is positive.\nAnswer: h**(-733\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2863072 divided by -14\nAnswer: 1431536\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10212 and 60720.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2 and 2\/873801?\nAnswer: 1747602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 241907 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: What is -22301546558 take away 0.1?\nAnswer: -22301546558.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, w: 3, e: 8, f: 1, g: 3}. Give prob of sequence wgg.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-5))\/(3\/(-285)). Let y = j - -36. What is the remainder when 65 is divided by (y - -4)\/(-1) - (-13 + -11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40214*k = 40215*k - 2*a - 16, -21 = 3*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.094 - 0.094. Let w = 142 - o. Let d = 141 - w. Which is the closest to d? (a) -4 (b) -0.1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 46*v + 47*v + 16*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 702*o + 2781. Calculate n(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453045850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**25)**39*m\/m**(-1)*m*(m\/(m\/((m*m**(2\/9)\/m*m*m*m)\/m*m)*m))\/m*(((m*m**(1\/3)\/m)\/m)\/m)\/(((m\/m**(-1\/7))\/m*m)\/m) assuming m is positive.\nAnswer: m**(61577\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttanaattaatetaneaan. Give prob of sequence aae.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 183191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 294?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.55297 rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (36 + -50 + 64).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 5*y + 19 = 4*u, 7 = -2*u - y. Suppose -20 = -i - 4*t, -2*i - 5*t + 31 - 6 = 0. Put i, -4, u in decreasing order.\nAnswer: i, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4128828 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - 1471?\nAnswer: -1527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 555\/99814 + 1\/698. Let w = -291\/715 + s. Let q = -3 + 7. What is the third smallest value in w, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344121210 (base 5) to base 12.\nAnswer: -62999a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-15))\/((-3)\/(-45))*1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 822907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 168 + 976 = -132*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (62851 - (8 + -20)) + (11 - 2).\nAnswer: 2, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from llllggmgllllg?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37222398 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/125112 and 173\/120?\nAnswer: 625560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/(-12))\/7)\/((-99)\/(-1320))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*l + 455 = 1770 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6363 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3926 - 7713 - 3*a + 3787. Let i(d) = -12*d + 1. Suppose 5*o = 6 + 4. Determine o*i(w) - 9*k(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4117445.\nAnswer: 5, 823489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(114)\/sqrt(6) - sqrt(19)) + 1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 66?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 6*p**2 - 9*p - 10. Calculate v(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 1 - (10 - 12). Factor 2 - 13*g**3 - g**2 - 4*g**l + 9*g**3 + 7*g.\nAnswer: -(g - 1)*(g + 2)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5101528*u. Let l(w) = 10*w. Give l(r(x)).\nAnswer: -51015280*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -820*t + 1482*t - 370496 = -3546*t - 1581*t for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9442*s**2 - 22091*s**2 - 8708*s**2.\nAnswer: -40241*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -814?\nAnswer: 813.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -29377 (b) 7 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220477 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(153) + 4 + sqrt(2448) + sqrt(2448) + -2*sqrt(2448)).\nAnswer: 20 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2907528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 27*d + 63 = 0. Solve -4*a + d*a + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-264)\/(-42) + (-1 - (-84)\/49). Solve 8*p = -g*p + 21*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144a (base 15) to base 7\nAnswer: -15445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -874679*k - 21866998. Determine v(-25).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*o + 2412, 5*d - 4036 = 4*o - o. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1154*s = -3*x - 1159*s + 1384, 4*x + 5*s - 1857 = 0. Calculate the smallest common multiple of 602 and x.\nAnswer: 6622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 - -1) - (1228 - 1220)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 6\/7 (c) 1\/176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -957086640 divided by 6.\nAnswer: -159514440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q + y - 8, -5*y - 5 = 3*q. What is the second derivative of l - 2*l**5 - 4*l - 4*l**q + 2*l**5 wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 2 u when four letters picked without replacement from {n: 1, o: 1, u: 3, a: 3, r: 1, v: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 972 = 971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3941*y = 7934*y - 3943*y - 600 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 17. Let k(c) = 40*c**2 + 2*c - 1. List the prime factors of k(h).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v*y**2 + 80597*v - 14942*y with respect to y.\nAnswer: -4*v*y - 14942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + -3 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -879 (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.8 and 0.035.\nAnswer: 0.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 829, -2\/5, 4\/7, -1\/8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**6\/810 + n**5\/540 - n**4\/108 + 5*n**3\/6 + 6*n**2. Let a(p) be the first derivative of u(p). Factor a(z).\nAnswer: 2*(z + 1)*(2*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5586?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 6*i + 3. Let p(r) = 2*r - 27. Let a be p(11). Calculate y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, e: 2, m: 3, h: 4}. Give prob of picking 3 h.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33663, -67322, -100971, -134598, -168191?\n\"Answer: 2*x**3 - 7*x**2 - 33652*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*h - 1 = 0, 3*h + 3 = -2*n - n. Let r be (352\/72 + -5)\/(n\/3). Which is bigger: r or -90?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 5\/1203 (c) -2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 7)*(-3 - b**2 + 3)*(4 - 5*b - 4) to k*b + u*b**2 + f*b**3 + y and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -4225.7, 2\/3, -3, -2\/9, -2, 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 698 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 13) to base 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 161003934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-2\/13)\/w)*w*w**(1\/12)*(w*w\/(w*w*w**(-7))*w)\/w**(-1\/3) assuming w is positive.\nAnswer: w**(1805\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 9\/6)*-84*(-214)\/(-6741)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w. Let g(v) = 132290*v. What is a(g(j))?\nAnswer: -132290*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -10*h + 285. What is the hundreds digit of j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 + 6*w - 3. Let u(z) = 4*z - 57. Let c be u(-6). Let i be (27\/c)\/((-2)\/24). Give m(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.135 (c) 0.2 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*l + 143 - 699, -l + 116 = -4*y. Let a = l - 77. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (((5 + 3 + sqrt(125) - sqrt(125)) + sqrt(125) - sqrt(125))*4 + -4)**2).\nAnswer: -3900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 greater than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1. Let o(r) = r**3 + 6*r**2 + r + 5. Let x be o(-6). Let k be 1\/4 - 50\/8. Let h(t) = -2*t**2 + t + 5. Give k*n(f) + x*h(f).\nAnswer: 2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -612 + 526. Which is bigger: -77 or v?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 57\/27 + 0. Which is bigger: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-201)\/9)\/(1\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 15*z + 5877. Let s be p(83). Which is smaller: 238 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-22 - -31)) + 0 + (-1 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11421 and 24111?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.118 (c) -0.4 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + -77. Let b = w - -41. Let u = 0 + 16. Calculate the highest common factor of b and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0.3 (c) -2 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -276*q**3 - 2*q - 10*q**2 + 76*q**3 + 201*q**3 + 8 to n + p*q + c*q**2 + s*q**3 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122860460 and 13464160.\nAnswer: 982883680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4030168 rounded to the nearest one thousand?\nAnswer: 4030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 16 = 12*b, 0 = -k - b + 2. Let z(u) = u + 14. What is the remainder when 1413 is divided by z(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1001, 2\/5, 1\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 6:43 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-69)*-8*(-12)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + -1)*1 + -4)**2 + (sqrt(363) - (3*sqrt(363) + 2))*3.\nAnswer: -96*sqrt(3) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 380025529 to the power of 1\/3, to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(8\/4) + -2. Let o(u) be the third derivative of -1\/12*u**l + 2*u**2 + 0 + 0*u**3 + 0*u. Let g(h) = -h**2. Determine g(o(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 982 or 981?\nAnswer: 982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 795 and 18196755.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1268 (b) -4809.1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 463 from 182.\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -3 (b) -0.227 (c) 2\/71 (d) -4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s - 72*s + 19*s + 26*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(240) - 2*sqrt(240)))\/(sqrt(405) + (-2*sqrt(405) + sqrt(405))*1 + sqrt(405) + sqrt(405)).\nAnswer: -10*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -26, 3, 4, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8100*a**3*m**2 + 3*a**3*m - 5*a*m**2 - a + 14*m**2 + 47*m wrt a.\nAnswer: -48600*a*m**2 + 18*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -e2a (base 16) in base 2?\nAnswer: -111000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -574006.013 to the nearest 10.\nAnswer: -574010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**3 + 2*a**2 - 3*a + 1. Let c be f(1). Suppose 151 = -5*g - 5*j + 381, 88 = 2*g + j. Calculate the greatest common factor of g and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/((sqrt(245)\/sqrt(5))\/sqrt(7)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 83, 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*o**2 - 92*o**2 + 183*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, c: 10}. Give prob of sequence ggg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:16 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2276.95739 - -0.04261. Let m = j + -2287.59. Round m to one decimal place.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, h: 3}. Give prob of picking 3 h and 1 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2\/6 - 3421793*h\/6 + 3421799 = 0?\nAnswer: -3421799, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)*i*i**(-1\/12))**(-35)*((i\/(i*(i**(1\/4)\/i)\/i))\/i)**(-15)*(i**(-1\/3))**4 assuming i is positive.\nAnswer: i**(-583\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/30 - (-4)\/(-20). Let f(w) be the second derivative of -x*w**3 - 6*w + 0*w**2 + 0. Let c(v) = -4*v**2. What is c(f(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 56 - 24)*(2 - 2 + 4*b) + (-1 + 1 + 2*b)*(3 - 3 - 3) + b - 3*b + 0*b + (b - 3 + 3)*(1 - 1 - 2) + 0*b - 4*b + 3*b - 4*b + b + 2*b + 4 + 2*b - 4.\nAnswer: 58*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 310125 from -1.\nAnswer: -310126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*w = -18, 5*q - 3*w - 4 = 32. Solve -2*t + 4*t = q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - 24 + 5*u**2 + 24 - 10*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 7*z**2 + 8*z + 4. Let v be y(-8). Let n be (12\/30)\/((-2)\/10). Let h be 5\/n - 1\/2. Sort 1, v, h in decreasing order.\nAnswer: v, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 10*b**2 - b + 8. Let n be (0 - -2)\/(6\/(-21)). Is l(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1776)\/1221*22\/(-4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 - 97. Let w be (-6 - m)\/(3\/2). Let y(k) = -3*k**3 - 2*k**2 - 2*k - 5. Is y(w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 0*c - 65 - 1\/3*c**3 + 15*c**2. Let o(j) = 2*j**2. What is b(o(u))?\nAnswer: -4*u**4 + 60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -512930.8182 rounded to the nearest 100?\nAnswer: -512900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658*n = -979*n + 65480 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.7 + -19.6. Suppose 0 = 5*i - 1 - 9. What is the biggest value in i, z, -9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-50 - (-43 + 40))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - u**2 - 57*u - 8.\nAnswer: -u**2 - 57*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1257 - -1256.97954. Round o to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z - 1. Suppose -5*l + 15 = -0*l. Suppose l*i + u + 4*u - 18 = 0, -u = -3. What are the prime factors of g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 23*r - 3*r**2 + 23*r + 2.\nAnswer: -3*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, and 2 y when four letters picked without replacement from {n: 4, e: 3, y: 4, q: 4}?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 2. Let n be a(3). Let t = n - -42. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(-2 + 1 + 0)*(0*p**2 + p**2 + 5*p**2) to b*p + r + m*p**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68 or 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 2. Let t(p) = p**2 + p - 1. Let l(r) = -i(r) - 2*t(r). Let w = 23 + -20. Let o(k) = 15*k + 16*k + w*k**2 - 22*k. Give 5*l(h) + 3*o(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - a**2 - a**2 + (0*a - 3*a + a)*(a + 0*a - 3*a) - 7940*a + 7942*a + 2 + 89*a**2 - 385*a**2 to the form x + s*a**2 + p*a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -62 (b) -2\/15 (c) -6181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -113344 (base 6) in base 7?\nAnswer: -40510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/5*j**2 + 8\/5 + 1\/2*j**3 + 1\/10*j**5 + 3\/5*j**4 - 6\/5*j = 0 for j.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58, -114, -170?\n\"Answer: -56*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-700)*20 + 2808\/(-40) + 8.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 2*s**2 - 2*s + 1. Let g be l(-2). Let n be 6 + -1 - (g + -3). Suppose 3*d + 0 = 4*v + 36, 14*d + 2*v - 44 = 0. Solve n*f = d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -14. Sort g, -16, -2 in ascending order.\nAnswer: -16, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51985868743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -607 (base 9) to base 16\nAnswer: -1ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 - 8 - 22 - 7*o - 11 - 82.\nAnswer: -7*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 10:43 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v - 25. Let s be v - -2*3\/6. Let d be 2*1\/2*1. Let b(a) = -a**3 - a - 1. Let g(q) = 5*q**3 + 6*q + 5. Calculate d*g(x) + s*b(x).\nAnswer: -x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:47 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 676, 669, 652, 619, 564, 481, 364?\n\"Answer: -t**3 + t**2 - 3*t + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -147121 less than -147118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from apaaapaapppaa?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 584\/7. Let c = -218 + 217. What is the closest to c in 5, -0.11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -9791\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-66)\/70 + 1)*5. What is the biggest value in -1\/2, -8, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, j: 4}. What is prob of picking 3 j?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 8. Let r = 12 - s. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and 0.063 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.8 + -9. Let o = c + -1. Let j = -1.1 - -1. What is the second biggest value in j, o, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 3*a = -27. Let c(n) = 950003*n**2 - 11*n + 6. Let x be c(a). Round x to the nearest one hundred thousand.\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 54*x**2 + 785*x + 312. What is l(13)?\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19494 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44224 + -102?\nAnswer: 44122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26860\/8073 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 61?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49867.1919 + -49855. Let w = l - 12.2. What is w rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 0.3 (b) 5 (c) -0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.3 - 30.8. What is the closest to -34 in -1\/2, 2\/13, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 7. Let i = 33 + -24. Let m be t(i). What are the prime factors of m + (180\/3 - 4)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**3 + o**2 + 26*o + 6. Let h be s(7). Let g = 1997 + h. Does 29 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 43.9. Which is the nearest to 0.1? (a) j (b) 1\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2123?\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1030044.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/127 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 3*y - 4. Let f be b(-6). Suppose 0 = 5*w - m - 10, 4*m = 4*w - m - 8. What is the greatest common divisor of w and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, 1\/96, 4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -12201322?\nAnswer: -12201310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -5*i**6\/6 - 33*i**5\/5 - 51*i**4\/4 + 41*i**3\/3 + 42*i**2 - 36*i - 1480. Let p(n) = 0. What is n?\nAnswer: -3, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 462aa2b (base 12) to base 15\nAnswer: 12b9255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14520 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/874 at least as big as -750867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 - 3*u + 3*u + (4*u**2 + 0*u**2 - 10*u**2)*(-104 - 108 + 189) - 3*u**2 + u - u as t*u + j*u**2 + w and give j.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657 - 6813 = 18*g. Let v be 12 + -6 - (g + 18\/6). Calculate the highest common divisor of 138 and v.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*s - 21, -s = 5*a - 4*a - 3. Let b(g) be the second derivative of -7*g + 1\/2*g**2 + 0. Let n(y) = -y - 5. Determine a*n(j) - 3*b(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -293603578.5 + 293603402.4999927. Let r = -176 - f. Round r to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 8. Let l be (-5)\/(-5)*(1 - w). Let q = l - 1. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -3?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-3))\/((-56)\/378). Let b(i) = i**3 - 8*i**2 - 11*i + 12. Calculate b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1)*36\/2. Let w = -271 - -405. Suppose 5*v - 45 = -a + 91, a + 4*v = w. What is the greatest common divisor of a and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 378*p + 37 - 2*p**3 + 4*p**3 + 5*p**4 + 379*p + 0*p**2 to the form q*p**3 + k*p**2 + n*p + z*p**4 + y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752624 is divided by 106.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1365782 (base 11) to base 10.\nAnswer: -2350152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 176.6 + -176.57432. What is f rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:43 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 3) + -4 - (-5 + 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1040 and 1755.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k - 453. Suppose -5*s - 54 = -4*a, -18 = -4*a + 2*s + 42. Calculate the remainder when l(57) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11640.81 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -259, -3, -166, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 138769464 divided by -23128244\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(3))**2*2 + 2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55352.\nAnswer: 2, 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*o + 58, 2*h = -3*o - o + 52. Let p = o + -134\/11. Suppose 0*j + 7 = q + 3*j, 2*j - 6 = -2*q. Are p and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 4*c**3\/3 + 13. Determine v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f**2 - 7*f + 2. Let j(h) = 27*h**2 - 15*h + 4. Give -6*j(o) + 13*m(o).\nAnswer: 7*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 2*v - 1. Let b be m(-1). Let t(p) = p + 4. Let f be t(-5). What is the tens digit of 28\/b - f - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101100101111011 (base 2) to base 16.\nAnswer: 2d97b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {k: 1, h: 1, e: 6, c: 1, w: 1, g: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2))**32\/((c\/c**(-10))\/c*c\/(c*c\/(((c*c*((c**(1\/2)*c)\/c)\/c)\/c)\/c))))**(3\/11))**(-1\/22) assuming c is positive.\nAnswer: c**(435\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100001010010 + 110110111100?\nAnswer: 1001011000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times -9519.7?\nAnswer: -180874.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 8*m + 9. Let b be j(-9). Suppose -3*g + 10*g - 287 = b. What is the remainder when 79 is divided by g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -94339, -188574, -282809, -377044, -471279?\n\"Answer: -94235*t - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 35*q - 266. Determine j(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 2:55 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 21. Suppose 4*i - g = -5. Suppose -o + 5*b - 1 = 3*o, 3*b = i*o. Is 2 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112.09 + -108. Let l = x + -2.39. Put l, 0.1, 0, -0.2 in ascending order.\nAnswer: -0.2, 0, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 d, and 2 p when four letters picked without replacement from {d: 6, p: 2, w: 7}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 14. Let r be d(-6). Let a = -20 - r. Suppose a*v - 168 = -4*v. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2*k - 1. Let n(w) = -29*w**3 - 2*w**2 - 2*w - 21. Let r(p) = -n(p) + t(p). What is the third derivative of r(j) wrt j?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 9:30 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 10. Let c(s) = 10*s - 7*s + 9*s - 4 + s**3 - 20*s - 8*s**2. Let k be c(a). Which is bigger: 29\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(-2 + 0 + 4)*(757 + 1597 + n + 0*n - 57) to the form x + z*n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507454 is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138\/55 - -13\/5. Let d = -1.9641 + -0.0359. Which is the nearest to -0.2? (a) h (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 33. What is the second smallest value in -2, -2\/15, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 34. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5795.\nAnswer: 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, t: 1, a: 1, z: 1, g: 1}. What is prob of sequence oooz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let n(h) = h**2 + h - 1. Let t(v) be the first derivative of 2 - 3*v + 8\/3*v**3 + 3\/2*v**2. Let b(r) = 3*n(r) - t(r). Give c(b(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = x + 95279, 21*x - 26*x = 4*k - 190509. What is the ten thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -15*2\/(-3 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/8955 and (-66144)\/(-6080) - (-4)\/190.\nAnswer: 17910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -65 + -4 + 2 + -1. Let p = k - -208. Suppose 0 = -5*b - 3*z + 4*z + 96, -2*b = z - 44. Calculate the highest common factor of p and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13543, -46294, -98263, -169456, -259879?\nAnswer: -369538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from {g: 1, q: 1, r: 1, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54b487 (base 14) to base 4.\nAnswer: 22331220033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11800\/3)\/(58\/30 - 2). Round l to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + o - 3 = 5, 3*l - 24 = 2*o. Let k(n) = 4*n + 2. Let v(y) = -6*y - 3. What is l*k(d) + 5*v(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and -720.9765?\nAnswer: 721.0065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 - j**2 + j + 1. Calculate x(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = -3*z, 3*z - 13 = 5*z - 3*u. Suppose f - 3 = -z. Suppose 3*b + 6 + 0 = 0, -g + 16 = -3*b. What is the smallest common multiple of f and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-1\/3)))**(-22)*(b\/((b*(b*b\/(b**(2\/7)*b)*b)\/b)\/b))**(-4) assuming b is positive.\nAnswer: b**(130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 2, 81\/41, -1, -1\/7, 0.81?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + 7*l + 2. Let c be g(-5). Let o(d) = d - 6. Let w be o(6). Suppose w = 4*a - f - c, -f + 20 = 5*a - 75. Solve 5*t - a = 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4760 is divided by 1189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*o**3*y**3 + 175*o**3*y**2 + 2*o**3*y - 19195*o**2 - y**3 wrt o?\nAnswer: 474*y**3 + 1050*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1 - 39*n + 79*n + 0 + 0 - 41*n. Let z(q) = q**2 - 9*q + 8. Let k be z(7). Let m(f) = -5*f - 8. Calculate k*y(h) + m(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 495\/7 + -4*10\/(-140). What is the second derivative of c*i**5 - 77*i - 14484*i**4 + 14484*i**4 wrt i?\nAnswer: 1420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (10 + -21 + 2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)*t)**(21\/8)*t**6\/t**(-2\/39) assuming t is positive.\nAnswer: t**(6233\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3422 (base 9) to base 16.\nAnswer: 9e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74819491?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415431 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274851 to the power of 1\/2, to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 - 5836994808.\nAnswer: -5836994805.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, e: 3, h: 1, r: 1}. Give prob of sequence eh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143596677.\nAnswer: 3, 7, 6837937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009232810448 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485325.\nAnswer: 3, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.054 - -13. Let a = 16.454 + g. What is a rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 6, -37, -80, -123, -166?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -119. Which is the nearest to f? (a) 0.4 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 343666644 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*q - 32 + 13, q - 3*c - 13 = 0. Solve -q*v + 2*t + 2 = 0, t = 5*v - v + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/299760 and -95\/4?\nAnswer: 299760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9678 + 192*m**2 - 19358 + 9680.\nAnswer: 192*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13510*m + 3850 = -13485*m. What is the remainder when m is divided by 47?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/655783 and -47\/3.\nAnswer: 1967349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + 0 + sqrt(320))**2.\nAnswer: -321 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -28*h - 20. Let q(v) = -15*v - 9. Give 5*q(f) - 2*t(f).\nAnswer: -19*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 8*m**2 + 3*m - 8. Let f be d(8). Suppose 0 = f*w + 2 - 2. Solve -4*k + 0*k + 4 = w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/112*48 + (-40 - -6)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -148*s + 123*s - 5*b, -3*b = -0*s + s - 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + z + 1. Let c(y) = 7*y**3 - 5*y**2 + 2*y + 6. Let d(o) = -2*o**3 - 62*o**2 - 4*o - 129. Let t be d(-31). What is t*s(r) + c(r)?\nAnswer: 7*r**3 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -415435402 (base 6) to base 8\nAnswer: -33563072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(70\/(-7)) + -58 + 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4\/4 - 15*v**3\/2 + 4461*v**2 - 112770*v - 243432 = 0 for v.\nAnswer: -92, -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 2:58 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13605 (base 15) in base 9?\nAnswer: -104165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4\/(-10)*((-9288)\/(-549) + -17).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19912*w**2 + 24363*w**2 + 5*w - 5*w to v*w + q + b*w**2 and give b.\nAnswer: 4451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8421, -16841, -25267, -33705, -42161, -50641?\n\"Answer: -u**3 + 3*u**2 - 8422*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3024 + 3055. What is the closest to 0.3 in 3, -4, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-7))\/n*n\/n**(-3\/10) assuming n is positive.\nAnswer: n**(83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 6698 = 3*l + 1550. List the prime factors of l.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/24 + 5*l**3\/6 - 5*l**2. Differentiate p(o) wrt o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -410.07 - 2.\nAnswer: -412.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 5.5. Let k(u) = 173 + u**2 + 188 + 70*u - 29*u + 225 - 192. Let x be k(-15). Sort -0.3, x, g, 4\/7 in decreasing order.\nAnswer: g, x, 4\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 0 - w**2 - 4*w**2 - 5 + 5*w + 5*w = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075261 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 52*g - 81. Let r(s) = 104*s - 154. Let b(p) = 4*r(p) - 7*v(p). Let o be 24\/2*(-9)\/(-6). Is b(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 8*l - 13. Let o(u) = -u**3 + 7*u**2 + 2*u - 9. Let c be o(7). Let i be z(c). Solve 0 = -q - i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 287.6 + -1587.6. Let h = 1300.0001118 + j. Round h to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*c - c**3 + 3 - 2*c**2 - 17*c - 2*c**4 in the form r + s*c**3 + m*c + f*c**4 + u*c**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77245 - 86002 = 139*o for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:54 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*t. What is the units digit of (0 + 11)*(t + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 98*h + 1169. What is q(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 121, -27, -31 in increasing order.\nAnswer: -31, -27, 2, 121","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*w - 2 = -2*l, -5*l + 37 = -w. Suppose -4*t = -4*g - l*t, 4*g + 20 = t. What is the common denominator of g\/(-42) + 5\/(-30) and -65\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 145815 and 4141146.\nAnswer: 20705730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(2268)*-6 + -3*1*sqrt(2268)))**2 + 5.\nAnswer: 183713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -l - 4*c, 0 = -l + c - 2 - 0. Suppose -l*v = -v. Suppose -w - 2*w + 90 = 3*r, v = 2*w + 4*r - 50. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06490951 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57079001 to the nearest integer?\nAnswer: 7555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35156 is divided by 241.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -206, -465, -818, -1259, -1782, -2381?\nAnswer: -3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153125 by 1000.\nAnswer: 1225\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257954810.\nAnswer: 2, 5, 139, 151, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 1 + 4, 0 = 5*t - 4*g - 76. Let b(d) = -d**2 - 12*d - 7. Let i be b(-13). Let m = i - -66. What is the remainder when m is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 divided by -59?\nAnswer: -178\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((3*(0 + sqrt(432) - sqrt(432)) - (sqrt(432) + 0)*-6) + 4 + 0))**2.\nAnswer: 2304*sqrt(3) + 62272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036996 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2*(-16)\/(-12). Suppose l*g + 10 - 46 = -4*y, -4*g - 5*y + 75 = 0. Solve 4*r - 2*d - g + 6 = 0, 0 = -r + 3*d + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, -1\/66, 41, 111 in decreasing order.\nAnswer: 111, 41, -1\/66, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 40, 8956, -3.\nAnswer: -3, 4, 40, 8956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 775678329 to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, -116, -245, -416, -623, -860, -1121?\n\"Answer: k**3 - 30*k**2 + 2*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a - 4. Let n = a - -2. Suppose -n*k - 204 = -544. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0*r\/(r\/(r*r\/r**(-6)*r)) assuming r is positive.\nAnswer: r**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21343 (base 9) to base 15\nAnswer: -42c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.11, 1.8, 2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 32. Let w be 3\/15*(k + -2). Suppose -2*z = -z - 3. Sort -3, w, z in ascending order.\nAnswer: -3, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*r - 3, -5*r - 4 = -4*l - r. Let w = 4 - l. Let s be w\/(-1) - (1 - 15). Calculate the highest common factor of s and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2270\/323 + 64\/17. Sort 1\/6, o, -2\/13 in increasing order.\nAnswer: o, -2\/13, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15922364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -657*s**2 + 232*s**2 + 302*s**2 to the form t + a*s + x*s**2 and give x.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.1 - -16.6. Sort 0.3, 0.1, a, -0.44 in descending order.\nAnswer: a, 0.3, 0.1, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8156, -16310, -24458, -32594, -40712, -48806?\nAnswer: -56870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.938 - -1.718. Sort l, -0.3, -12 in decreasing order.\nAnswer: l, -0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201559343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -46*r + 20. Is 31 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 17*p**2 + 3*p + 33. Give f(18).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13676036611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 119.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0 - -4) + -1. Which is the nearest to 0.1? (a) u (b) 2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -227\/4. Which is the second biggest value? (a) 0 (b) 7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10670 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**4 + 29*g**2 - 31*g**2 + 0*g**4 wrt g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/4)\/((-4)\/16). Suppose -2 = 3*n - r*n. Suppose 87*x = 99*x - 36. Solve 0 = 4*i + x*p + 2 + n, i + 2*p = -2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 158 (c) 1 (d) 0.1 (e) 138 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -120*c + 722. Let q be l(6). Let g(d) be the first derivative of 13 - 2*d**q + 4*d - 1\/3*d**3 + 1\/4*d**4. Find z, given that g(z) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4\/12 - 4*k**3\/3 - 6*k**2 + 35*k. Let u be b(10). Suppose 2*n = u*n - 1008. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 99692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 15) in base 11?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2)*8\/3 + -59. Let a = x - -73. Let p(q) = -q**2 + 110. Let g be p(0). Calculate the greatest common divisor of g and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 82. Let b be 140\/44*v\/15. Is b smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*p - 90 + 105, 0 = -2*k - 2*p. Let l(o) = 7*o**2 + 2*o**3 - 5*o**2 - o**3 + 2*o**2. Give l(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30602 (base 7) to base 5.\nAnswer: 214444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (-1 + -1*sqrt(19) - sqrt(19)))**2 - (-1 + sqrt(2299)).\nAnswer: -5*sqrt(19) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86467 is divided by 84746.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.9? (a) 0 (b) -2\/9 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-52)\/16)\/(-6*(-6)\/(-12)) and -133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 26 = 3*o. Let r = -9 - o. Let m = r + -1. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129171?\nAnswer: 3, 7, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 3*n - 26, 63*b - 59*b - n + 18 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2\/3 - 80470*k - 10384328\/3 = 0.\nAnswer: -43, 120748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z - 12 = 35*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 40*r + 68. Calculate q(-6).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p = -180. Calculate the lowest common multiple of 4 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huucuccuckukccubuu. Give prob of picking 1 u, 1 h, and 2 c.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Let k be a\/(-6) - 10\/(-36). Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n + 91. Let h be a(-22). Suppose -s = 2 - 12. Solve -h*k - 3*r = 0, -4*r - r + s = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35525, -71051, -106577, -142103, -177629?\nAnswer: -213155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 72 - 18. Let f(w) = 4*w**2 - w + 42. List the prime factors of f(a).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o**5*((o**(1\/2)\/o*o)\/o)\/(o*o**(-2)*o))\/(o**(3\/2)*o**4*o**(-5)*o*o*(o\/(o*(o*o*o\/(o**(4\/5)*o)*o)\/o))\/o) assuming o is positive.\nAnswer: o**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 64 - -1648972400\nAnswer: 1648972464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -125d91 (base 14) in base 11?\nAnswer: -3a1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*o - 0*w - 1238, 3*o = -3*w + 1242. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -91, 3, -34, 1\/5, 4, 44?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f + 105 = 2*i, -5*i + 2*f = -190. Suppose -g - i = -5*g. Suppose g*r = 5*r - 20. What is the third biggest value in r, 5, 1\/16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1061837 + 4?\nAnswer: -1061833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10220 (base 4) to base 7\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1043, -1038, -1031, -1022, -1011, -998, -983?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*s - 115*s + 49*s - 2*s**2 to the form h + b*s**2 + w*s and give w.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11754 rounded to the nearest one hundred?\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*1*-3 - ((sqrt(132) + sqrt(132) + sqrt(132)*-2*2 + sqrt(132) - sqrt(132)) + sqrt(132) + sqrt(132)))\/(1*(sqrt(72)\/sqrt(2))\/sqrt(3)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 + 4*q + 2. Let r(k) = -5*k**2 - 4*k - 3. Suppose 4 = -2*u + 8. Calculate u*r(c) + 3*x(c).\nAnswer: 2*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67066264.\nAnswer: 2, 8383283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301 + 2?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -11 + (-21)\/((-231)\/34694)?\nAnswer: 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 601\/7980 + -5\/76. Let j(k) be the third derivative of 0*k**3 + 1\/30*k**5 + p*k**7 + 0*k + 0 - 1\/30*k**6 + 0*k**4 - k**2. Factor j(o).\nAnswer: 2*o**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23709812 - -781572404\/33. Let i = -77795\/3 - o. Let w = -132 - i. What is the third biggest value in w, -1\/4, -0.02, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/17740 and 91\/10.\nAnswer: 17740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0175294 times -35\nAnswer: 0.613529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 + 246*z**3 + 32721*z**2 - 2816784*z + 5500764 = 0. Calculate z.\nAnswer: -106, 2, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1188, -1459, -1916, -2559?\nAnswer: -3388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -21 + 34*o - 73*o + 38*o. Let p be b(0). Which is bigger: -19 or p?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y + x = 19*y - 22, 3*y = 5*x - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 920*u - 6520*u - 11451*u + 1035*u - 4521*u as g*u + l and give g.\nAnswer: -20537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 64557.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -24, -35?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 6*j**3 - 1 - 4 - 1 in the form i*j + a*j**2 + d + h*j**3 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 17. Find the first derivative of 4*n**4 - 20*n**k - 12*n**4 + 8*n**4 - 23 wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(209) + sqrt(209))*2)\/((sqrt(396) - 2*sqrt(396))*2).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 3*a - 4. Let k(m) = 2*m**2 - 4*m + 3. Suppose 3*p = -0*p + 6. Let o be k(p). Let r be b(o). Solve 0*z = 5*z - r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 908123370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 789 and 13552916?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5416*-91\nAnswer: 492856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 1 - 7 + 4 + 5 in the form b*v**2 + a + q*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1380, 2746, 4028, 5184, 6172, 6950, 7476, 7708?\n\"Answer: -7*t**3 + 1415*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607 = 30*u + 105*u + 203 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 22. Let y = 1415 - 1437. Give m(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-9) - (0 - -1)) + (-1954876)\/36351?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*z + 7, 3*z + a = 2*a - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (840\/4060)\/((-24)\/(-4)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from pppppppdppdppdp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 11*w - 135. Let s(k) = -k**2 - 17*k - 198. What is 7*c(z) - 5*s(z)?\nAnswer: -2*z**2 + 8*z + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 927, 1859, 2791, 3723, 4655, 5587?\n\"Answer: 932*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*o**2 + 42*o**2 + 2*o - 2*o to the form y + f*o + z*o**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -311?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**6\/36 - r**5\/15 - r**4\/15 - r**3\/3 - 2. Let u(d) be the third derivative of x(d). Find k such that u(k) = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9890 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 20*p**2 - 19*p - 5. Let t be w(19). Let m = 2\/35 - 23\/35. Which is the nearest to -0.2? (a) t (b) -2\/21 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2014 - -2014. Solve b = -w - 8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + q - 4*q - 10)*(4 - 28*q - 22*q + 0) to the form z*q**2 + h*q + x and give z.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 48*r - 153. Let u be t(51). Is 13\/49 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*1\/4 + 30. Suppose 3*u - j - 137 = 0. Suppose 0 = -2*r - 4*o + 40, 7*o - 3*o - u = -3*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -32?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*6*((-1*sqrt(304)*-1)**2*6 - -1*(sqrt(304) + (2*sqrt(304))**2)*-1)*5.\nAnswer: -291840 + 1920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1887 and 5216926?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 13) + 8 - (8 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 448, 458, 466, 472?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(11\/(-11))*5. Let q(y) = 2*y**2 + 9*y - 14. Calculate q(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**3 + 3*s**2 - 1110*s - 152462?\nAnswer: 3*s**2 + 6*s - 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6127 + 1265 = 16*s. List the prime factors of s.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 35*p**2 - 40*p - 52. Calculate n(34).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c - 64*c = 154 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.23086 hours in seconds?\nAnswer: 173631.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 1139 = 39*q - 140 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58375\/7656 - 1\/3828. Find the common denominator of 2 + -2 + 21\/2 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408474992 by 102118748.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -3, 53\/8, 2, 3, -2\/109?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 6061691?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -333*b**3 + 8*b**2 - 107*b + 5. Let q(j) = 334*j**3 - 7*j**2 + 109*j - 4. Let o(x) = 4*i(x) + 5*q(x). Find the third derivative of o(h) wrt h.\nAnswer: 2028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/5 (b) 0.061 (c) 101.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1173001017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 = -11. Suppose 6*o = 196 + 158. Suppose y*q + 2 = o. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 14)\/2 + (-11 - 260\/(-35)). Find g, given that 16\/7*g - 8\/7 + q*g**2 = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-4)*(-3410)\/(-5)?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/567 (b) -707 (c) 0.3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**9\/18144 + k**7\/5040 - 11*k**3\/6 - 4*k. Let p(b) be the second derivative of x(b). Determine c so that p(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 3. Suppose -103 = -16*c + 9. Calculate a(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 5*g - 10, 0 = 46*m - 47*m + 2*g - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/2 of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70? (a) 1\/6 (b) 0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136014 and 23028?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964822 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130845.\nAnswer: 3, 5, 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86.08959 centuries?\nAnswer: 103307.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -280466 and 0.3.\nAnswer: -84139.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -711933, -711934, -711935?\n\"Answer: -i - 711932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 250\/3 + 2\/(-6). Let p = 153 - l. Suppose 8*o + 3*b = 3*o + p, b - 28 = -2*o. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 591, 0.6, -0.8 in increasing order.\nAnswer: -0.8, 0.6, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/4*(-1884)\/(-22451)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1*sqrt(209) - sqrt(209)) + sqrt(209))*4)\/(sqrt(99) - sqrt(99)*3*5).\nAnswer: -2*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3522255, 2\/19, 9?\nAnswer: -3522255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8703 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -397.\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i. Let b(m) = 7*m**2 - 4*m + 1. Let n be b(-3). Let a = -43 + n. Let s(p) = a*p**2 - 10*p + 15*p - 4*p. Calculate y(s(g)).\nAnswer: -66*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.0579214.\nAnswer: 0.289607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -478 - -8124\/17. Let w be (((-96)\/4)\/(-8))\/(1*-1). Which is the biggest value? (a) w (b) -1\/8 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 88*m**3*v + 159134*m**3 - 201821*v - 45 wrt m?\nAnswer: 264*m**2*v + 477402*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {s: 2, a: 2, o: 1, j: 1, q: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.001054, -0.4, -4 in descending order.\nAnswer: -0.001054, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -80152 from -5874.03.\nAnswer: 74277.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 273\/32 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 374. Suppose -4*q - 8 = -c. Suppose -q = 5*b - 10*b. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = d + 2*p, d - 32*p = -29*p + 246. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) -0.3 (d) -116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 6*j + 4*j = s, -4*s = 5*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*(sqrt(7) + sqrt(35)\/(sqrt(5)*-1) + 2 - ((sqrt(28)*-1)\/sqrt(4) + 0)))**2 + -5).\nAnswer: -20*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000131987458 to seven decimal places.\nAnswer: 0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3772\/33 - -338\/3. Let p = -105\/44 - r. Sort 1, 5, p in increasing order.\nAnswer: p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-18\/5))\/b)\/(b*b**23) assuming b is positive.\nAnswer: b**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:32 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 666987*n - 666982*n - 72 = 0, n - 54 = 3*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by 48?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 63 in increasing order.\nAnswer: -1, 0, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24027.\nAnswer: 3, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**4\/4 - f**3\/6 - 4*f**2. What is the units digit of j(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22979*a**6 - 51*a**2 + 5*a - 41 wrt a?\nAnswer: -2757480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-19 - (-11 - (-38 - -19)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 225 - 202. Calculate the remainder when 61 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2562, 2215, 1292, -495, -3434?\n\"Answer: -48*f**3 - 11*f + 2621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138764390 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 41\nAnswer: 33\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -91\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - b + 30 + 20, -4*j + 3*b + 40 = 0. Suppose 25 = 5*w, -w = -x - 4*x + j. Calculate the highest common divisor of x and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1990600 and 225960.\nAnswer: 41802600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 7*z**3\/2 + z**2 - z + 235. Let m(t) = 504*t + 49. Give 49*h(u) - 2*m(u).\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v + 25. Let t be s(5). Suppose 91*k - 1760 = 87*k. Suppose p = t*p - k. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 26. Let w be l(-6). Let t = -34 + w. Solve 2*d = 3*k - 19, -2*k = -5*d - t*k - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s. Let w(m) = m. Let j(h) = -q(h) - 6*w(h). Let f(v) = v**2 + 3*v. Let r be f(-3). Let y(k) = 0 + 4*k - 5*k + r. Determine y(j(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 4, a: 2, k: 3, y: 6}. Give prob of sequence ky.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15 + (6\/3)\/1. Calculate the highest common divisor of h and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/18333 and -121\/20370.\nAnswer: 183330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**5\/20 + 5*u**4\/12 + u**3\/2 - 5*u**2\/2 + 3*u. Let i be m(5). Let t = i + -5. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00247594346 to 6 dps.\nAnswer: -0.002476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3753 divided by 9?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - d**2 + 8. Let l be u(0). Let q = 5 - l. Let x be ((-2)\/q - -2) + 6\/18. Put x, 4, 5 in descending order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(180\/(-8))*(-90)\/(-12). Let s = 4 - u. Solve -11 = -2*x - s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + (-1 + sqrt(300))*-1 + sqrt(300))**2 - (1*sqrt(300) - sqrt(300))**2*2.\nAnswer: 20*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 5*d**2 - 5*d - 9. Let s(k) = -k**2 + 3*k - 1. Let u be s(4). Let r be p(u). Let t = -15 + r. Sort 5, -1, t in decreasing order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 1573, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-15)\/(-21))*-1. Suppose 7 = s*q - 14. Suppose -2*n + 3*v - 20 = -6*n, -4*v = -q*n + 40. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (1 + -2))*1. Suppose 2*x = -a + 5. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0 - 0) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6012956 divided by 1?\nAnswer: -6012956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -274 (b) 0.4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r + 3 = 0. What is the remainder when r - -23 - 1\/2*6 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1481676 and 815052.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Suppose g*i = -3*y + 15, 0 = -3*y + 4*i - 2*i + 40. What is the least common multiple of y and (-20)\/(-12) - 2\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 7*d + 7. Let z be x(7). Suppose 0 = -5*q + t + 28, -4*t + 6 = 5*q - z. Suppose 0 = q*v + 52 - 242. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 448.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 6:14 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is c8b (base 14) in base 8?\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 21*m**2 + 2 - 24*m**2 - 7*m**3 + 66*m**2 - 7*m**3 - 16*m**2 to q + s*m + l*m**3 + x*m**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-1)*-5)\/(sqrt(196)*2)*4 + 4.\nAnswer: -20*sqrt(17)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 178*i - 25*i - 2166*i**2 + 1078*i**2 + 1086*i**2 as m + h*i**2 + o*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 106. Let f = r + 20. Let t = f + 17.5. Sort -5, 2, t in descending order.\nAnswer: 2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 453211 and 4191.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Suppose o = 4*q + q. Let 1\/4*v**2 + q - 1\/4*v = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10312*a - 30415. What is j(3)?\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16810, -16808, -16806?\nAnswer: -16804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 10\/19*f**4 + 2\/19*f**5 + 0*f + 0*f**2 - 12\/19*f**3.\nAnswer: 2*f**3*(f - 1)*(f + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5576 divided by 1?\nAnswer: 5576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 322562*x - 322562*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 557 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrzrdrddrdzrzz. What is prob of picking 1 z, 1 r, and 2 d?\nAnswer: 150\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -66. Suppose -b*t = i - 58, -5 = -2*t + i + 27. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/390)\/((-104)\/(-65)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/(1\/(-93)). Suppose 0 = 3*x - 134 - h. Suppose 2*u + x = 7*u. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.7. Suppose 34 = 26*w + 8. Which is the biggest value? (a) -5 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 11 = -2*j + 18. Which is the third smallest value? (a) 1 (b) j (c) -0.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by -132.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040911195 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in 7, 3, 4, -45?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 387 - 112. Solve -8*o = -9 + s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1585099 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 53\/45 (c) -10 (d) -1\/22 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.451 + 5.951. Which is the fourth biggest value? (a) z (b) 5 (c) 0.3 (d) -1\/3 (e) 4\/61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 4*y + 58. Suppose 3*n = -z + 4 + 31, -4*z + 20 = 0. Calculate the greatest common factor of y and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = 3. What is the smallest common multiple of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -9, 3, 19?\n\"Answer: 2*o**2 + 2*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -470.2 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 28899*z + 2312. What is the units digit of d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 231.2.\nAnswer: 224.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380 - -381) + 5 + 54?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13675 = 14*o - 97737. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/34072823 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 194520*k**2 + 164*k**4 + 170*k**3 + 142*k**3 - 194388*k**2 - 16*k = 0. What is k?\nAnswer: -1, 0, 4\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*u = -0*d - 6, u - 4 = 0. Let n = -12 + d. Let a = n - -20. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3\/8, 44, 3\/49, 0.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j**2 + j + 5. Is f(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8466 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1951422 and 5529029?\nAnswer: 33174174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**6\/15 + 5*f**5\/4 + f**3\/3 + 15*f**2 - 144*f. What is the second derivative of k(j) wrt j?\nAnswer: 24*j**2 + 150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 281 - 281.0266. Round t to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 373 + -182. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -776, -1554, -2332, -3110, -3888, -4666?\nAnswer: -5444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(24\/(-4)))\/8)\/((-3)\/204).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**2 - 5. Let n(y) = -4*y + 4*y**2 + 4*y - 5 + y**2. Let x(v) = -6*h(v) + 7*n(v). What is the first derivative of x(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1351 + 27*w - 25*w - 1351.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18126137059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -0.0216924?\nAnswer: -0.4216924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*q - 23 = 5, -3*s - 17 = q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22\/25 - -2071\/2325. Let i = f - 95\/186. Is 0 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711385.\nAnswer: 5, 73, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000615 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 4. Let u be q(2). Suppose -5*f + 5*y + 21 = -24, u*f - 37 = 5*y. What is the tens digit of (15\/12)\/(1\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 149. Suppose 5*u - 435 = 5*x - 0*u, 5*u - 353 = 4*x. Let g = n - x. Let l(m) = -4*m**2 - 24. Let s(v) = -1. Give g*l(d) - 24*s(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 203*y + 3730. Give r(-77).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-22)*g)\/(g\/(g*g**(-16))*g)*(g*g**(-11\/6))\/(g\/(g*g**(-20))) assuming g is positive.\nAnswer: g**(-353\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b. Let m(i) = -6*i. Give n(m(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54639311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1732, 4099, 7348, 11479, 16492?\nAnswer: 22387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2825*y + 2786. Is z(55) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4387693 - 0.439. What is y rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212792.\nAnswer: 2, 67, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -20*s - 299. Let i be g(-15). Solve -i = -c + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -68, -134, -186, -218, -224, -198, -134, -26?\n\"Answer: a**3 + a**2 - 76*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 24*b + 3 + 5 + 71 - 5*b**2 + 65. Let n(w) = -w**2. Let c(g) = -6*n(g) + o(g). Factor c(l).\nAnswer: (l + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 10. Let v(l) = -12 - 4 + 17. Let g(n) = -t(n) + 2*v(n). Let x be g(7). What is the second smallest value in 2\/17, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -2)*0 - 1. Let b(a) = -6*a**3 - 3*a**2 + a - 4. Let c(w) = -w**3 - w**2 - 1. Calculate x*b(k) + 4*c(k).\nAnswer: 2*k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*q - q - 30, 0 = 3*x - 4*q - 142. What is the highest common factor of 105 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 - 39*z**3 + 594*z**2 = 0. Calculate z.\nAnswer: -22, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -2. Suppose -n + t = 4. Suppose 3*w - 3*a - 81 = 0, -n*a - 88 = -3*w - 9. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 39075*p - 3262. Is r(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + 57. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*x + 2*h - 310, -3*h = 15. Let a be 9\/24*(171 - (1 + 0)). Let w = x - a. What is the nearest to -0.1 in 3, w, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7 - 6 - 1 + 2 + s. Suppose -5*b = -a - 0*b + 18, 15 = 4*a - b. Let f(c) = -3*c + 36. Let d(t) = a*f(t) + 8*h(t). Give d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f. Let q(h) = -6*h. Give m(q(l)).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-1*2 - (sqrt(17) + sqrt(2448) + sqrt(2448) + -1))**2.\nAnswer: -54*sqrt(17) + 12394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -155. Suppose 0 = -2*y + d + 96. Let b = 0 - -25. Calculate the remainder when y is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 2:27 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.49 - -13.63. Let q = b - 9. Let g = 0.13955 - q. What is g rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -650, -1291, -1930, -2573, -3226, -3895?\n\"Answer: -n**3 + 7*n**2 - 655*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.47 - 35.97. Which is the second smallest value? (a) k (b) 100 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26712226.\nAnswer: 2, 103, 129671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21033*g**3 - 81*g**2*x**3 - 2*g*x**3 + 2387*g*x**2 - 3*x**3 - 2*x wrt g?\nAnswer: 126198*g - 162*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 1326 = 39*o for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhqqqqqqhhqh. What is prob of picking 4 h?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*y**2 - 638*y**2 + 195*y**2 + 209*y**2.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-12)*(1 + -19). Let y = 17 + r. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10136043 - 23?\nAnswer: 10136020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 8 + 28 = 0. Suppose 3*q - 4 - 8 = 0. Solve 4 - 12 = q*z, -s*g + 14 = -3*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 2*v + 4. Suppose -3 - 6 = 3*l. Let w be m(l). Let o = w - -3. Solve -5*f - o = 3*j, -3*j + 6*j = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 4 - (1 + 1)) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24340, -26259, -28178?\n\"Answer: -1919*a - 22421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 70 = 8*s. Solve 8 = s*n + 3*k, 0*n - k = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 8 - 0) + 10 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358450 is divided by 279.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:43 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2, 1, -5 in ascending order.\nAnswer: -5, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 28 + 6 + -31 + -65 + 4?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sana when four letters picked without replacement from qaqjssajjqjnajjnnq?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**(-25)*(c**0*c)**(6\/11) assuming c is positive.\nAnswer: c**(-104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 12*u - 12. Calculate z(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 2*v + 4*v)*(-36*v - 44*v**3 + 75*v - 102*v + 2).\nAnswer: 88*v**4 + 126*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7378230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -12. Let m = 9 - 12. Put m, a, -3\/2 in increasing order.\nAnswer: m, -3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104462 and 25669?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266 a factor of 8507520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5747847 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 103. Calculate the least common multiple of z(48) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 103. Let n = -0.5 - -0.5. Put -0.4, c, n in decreasing order.\nAnswer: n, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746543911 - 4*r - 746543911.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -182*z - 82. Let w be d(-3). Calculate the greatest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9b2d + 204?\nAnswer: 9d32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-6174)\/105)*(-12)\/15.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 16. Let w = n + 83. Let z = w + -65.0053. What is z rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - 17 + 10 + 10)*(-3 - 2 + 7)*(-6*a + 3*a + a + 2) to the form y*a**2 + z*a + x and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0, 4.\nAnswer: 0, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o + 3. Let l be x(-5). What is the least common multiple of 12 and 6\/14 + 548\/l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - h = -2*h - 14, 2*d = -4*h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + k - 3)*(-4*k**2 - k**2 - 3*k**2) + k**3 - 6*k**3 + 3*k**3)*(-26*k + 9*k + k).\nAnswer: 160*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 164 - 164 = 0. Let s = t + -27. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-15)*21\/14. Solve -5*j - 22 = 4*h, -3*h + 2*h = -f for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {m: 3, h: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 19. Let i(r) be the third derivative of -r**4\/24 + r**3\/2 - r**2. Determine i(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 1\/6, -8, 0.1, 0, -6, -1\/26?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4.97+35673\nAnswer: 35677.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.786 + -0.986. Let w = 55214\/119 + -464. Is w at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*n - 2197*n - 240*n.\nAnswer: -2216*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s - 3*s - 3*s)*(2*s - s - 2*s) - 94*s**2 - 426*s**2 + 81*s**2 - 85*s**2.\nAnswer: -525*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219 - 230. Let c(s) = 4*s**2 - 14*s - 40. Let z(t) = 21*t**2 - 69*t - 200. Let o(n) = w*c(n) + 2*z(n). What is h in o(h) = 0?\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 297, -1403, -6 in increasing order.\nAnswer: -1403, -6, 1, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 357, 333, 309?\n\"Answer: -24*i + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 4*a - 10, -l + 2*a - 2 = 0. Solve -4*q + 2*t + 14 = l, -q + 3*t + 16 = -0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2136 divide 650040336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1742067112 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1bc5 - -3?\nAnswer: 1bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1132 - -1189. Calculate the highest common divisor of t and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 18*f + 5. Let i = 371 + -376. Let z be o(i). Calculate the highest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, y: 1, w: 2, x: 11, a: 3}. Give prob of sequence wyg.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 956349 and 743827?\nAnswer: 6694443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5. Suppose -r*f = -0*j - 2*j + 74, 4*f - 65 = -3*j. Solve u = 5*d - 26, 0*u + 2*u - 5*d = -j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -1.8545.\nAnswer: 7.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**5 - h**4 - h**3 + h. Let q(i) = -5*i**5 + 12*i**4 - i**3 - 6*i. Let k(r) = -q(r) - 6*v(r). Factor k(g).\nAnswer: -g**3*(g - 1)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + k + 17. Give j(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 11 - 32. Solve -5*n = -3 - a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -2504552.4565181.\nAnswer: -2504552.7565181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**2 + 3\/2*a**3 + 15\/2*a - 3.\nAnswer: 3*(a - 2)*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 3339. Let b(g) = 1618*g**2. Calculate t(b(i)).\nAnswer: 4854*i**2 - 3339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 1)*(-40 + 40 + l) in the form i*l + r and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k. Let d(h) = -5*h**2 + 8*h - 4. Let q(c) = d(c) + 6*v(c). Determine q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + (-271 - 1))*-1*72\/27. What is the greatest common factor of w and 1520?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4582443?\nAnswer: 4582444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -103 - -37?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i. Suppose i = 4*m - 2*v - 274, -m + v - 131 = -3*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -23. Suppose -v + 112 = 4*t. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -6. Calculate the remainder when n is divided by -1 + -3 + -2 + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*b - 13*b - 52. Suppose 0 = s - 6 + b. Let u(q) = -22*q + q**2 + s*q + 12*q. Give u(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 + 170.92. Let t = 22 + m. What is the second smallest value in t, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147649*a**5 - 14*a**4 + 13325369*a**2?\nAnswer: 8858940*a**2 - 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 93?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363*35*(-135)\/(-14175).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0, -3 in descending order.\nAnswer: 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/15 + (-13)\/(-3). Suppose 0 = z*k - k - 20. Solve -k*b + 36 = 4*o, -2*o - 15 = 4*b - 39 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18935013*-6\nAnswer: -113610078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76864169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 45) + 28 - 22?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0 - 1\/24*n**4 + 0*n + 2*n**2 + 0*n**3. Let s(o) = 21*o. Give m(s(z)).\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51341?\nAnswer: 51341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 202.7 + -670. Let f = -490 - q. What is f rounded to 0 decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14966264 * 14.\nAnswer: 209527696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u + 1477062. Let y(w) = w. Give t(y(o)).\nAnswer: 14*o + 1477062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 506439264 to the power of 1\/3, to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700031 is divided by 11666.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73716*h**5 - 76186*h.\nAnswer: 1474320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujjuhuujijuiiuujhih. What is prob of picking 2 i?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -367\/4, -4139\/5 in decreasing order.\nAnswer: 3\/7, -367\/4, -4139\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 58.4. Let w = o - -7. Let r = -0.2 + w. Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -2. Let g be s - -3 - (-2 - -1). Solve 0 = g*o - p + 1 - 6, 4*p = -o - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 8:13 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 168?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 12*o + 19. Determine h(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29907551844*x**2 + 1622158440*x + 21996100 = 0. Calculate x.\nAnswer: -2345\/86469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 4*t + 21, 5*z + 2*t + 450 = 213 + 222 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {m: 1, i: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -1\/49, 1.1?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.086814 rounded to one dp?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*p - 3*o, 0 = -2*p - 2*o - 0*o + 18. Suppose -4*g - 3*b = -5, -4*g + 3*b + p = b. Sort g, -2\/3, 0.1 in decreasing order.\nAnswer: g, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222851 or 1559958\/7?\nAnswer: 222851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 28. Let p(r) = -12*r + 45. Let t(q) = -2*d(q) - p(q). What is t(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 4*j - 1. Let g be y(3). Let n(m) = -m**2 - 7*m - 4. Let r be n(-6). Suppose -5*f + 1 = 2*w, r*f + 3*f = -w - g. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - o**2 + 1. Let g(c) = 4*c**3 + 5*c**2 - 5. Let w = -3 + 2. Let k = -64 + 62. Let v = k - w. Determine v*g(i) - 5*r(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/300 - 51*p**5\/50 + 494*p**4\/5 - 5776*p**3\/15 + 2638*p**2. Suppose f(q) = 0. Calculate q.\nAnswer: 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -454*r**2 - 134*r**2 - 247*r**2 + 512 + 406 wrt r.\nAnswer: -1670*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 236 = -11052. List the prime factors of f.\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14604 - 14496. Solve -80*i + 292 + n = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7572 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 95 = v. Let o = 21 - v. What is the remainder when 20*(o - 27\/(-12)) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4\/4 - 8*j**3\/3 + j**2 - 7*j + 1. Let v = 20 + -12. Is o(v) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-4) - 806399982\/(-24). What is b rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7777 - -115980. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2*1)\/(8890\/254))\/((2\/(-1))\/(-2))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + 0*d - 8*d - 3*d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 8330 = -7*i. What is i rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13309386 divided by -6.\nAnswer: 2218231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1\/5 (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -237 + -211. Let z = 459 + i. What is the remainder when 79 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279752786.\nAnswer: 2, 379, 369067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 147 + 38*v - 56 + 318 - 55.\nAnswer: 38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Let b be r(6). Let j be (-7)\/(-3) + (-4)\/b. Find the second derivative of 2*w + 0*w**5 - 6*w**3 + 2*w**5 + 6*w**j wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*n - 70, -39 = -2*n - 0*p - p. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:45 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2. Let w(a) = -2*a**2 + 10*a. What is w(u(j))?\nAnswer: -18*j**4 - 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10640 - -10668. Calculate the remainder when a is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15)\/((1\/10)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96028237 to the power of 1\/7, 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 5*(-12)\/(-1*(-11)\/(99\/45))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 = 2*m - 114. Let v = m - -1059\/7. Put 0, 2, -2, v in decreasing order.\nAnswer: 2, v, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**3\/3 + 17*t**2\/2 + 6*t - 100. Give r(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.259 * 0.7\nAnswer: -0.1813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, 206 in ascending order.\nAnswer: -1, 13, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476 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: Differentiate 2 + 0 + z**2 + 3 with respect to z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25834199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 4:01 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-96)\/15)\/8*(-5)\/2. List the prime factors of o\/(-5) - 2\/((-20)\/3954).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -111987249*v**4 + 63994713 wrt v?\nAnswer: -447948996*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20326.659 months to decades.\nAnswer: 169.388825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/24346 and -58\/15651.\nAnswer: 219114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 575*o**3\/3 - 1387*o**2\/2 - 4816*o. What is the derivative of v(s) wrt s?\nAnswer: 1150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -163263192.\nAnswer: 48978957.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2070 and -49\/2070.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 811, -1, 4, 5, 1, -3, 0.\nAnswer: -3, -1, 0, 1, 4, 5, 811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 164.13639?\nAnswer: 492.40917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*v + v = -17, -3*u - 2*v = -5. Suppose -j - 5929 + 16189 = u*a, -10266 = -3*a - 3*j. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**2)**(4\/27))**(7\/12))**(1\/25))**(7\/5) assuming p is positive.\nAnswer: p**(98\/10125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 319 + 354 = 5*n, 5*n = 2*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0.8. Let v = -481.91 - -482. What is the nearest to z in v, 5, 3\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55259*m**4 - 3*m**3 - 1 - 253*m**2 - 55263*m**4 + 2 in the form v*m + j*m**4 + i*m**3 + h*m**2 + g and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-9) + 2\/3. Suppose m + 32 = g*m. Let j = -6 + m. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (5 + 1)) + 0 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/3 + 4*y - 8\/3.\nAnswer: -4*(y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:54 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 17*u**2 + 5. Suppose 57 + 88 = 29*x. Let c(j) = -1. Determine x*c(a) + v(a).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -51*o - 84. Let a be l(10). Let h be a\/88 + (-7)\/(-4). Let f = 0.2 + 0. Put h, 3, f in decreasing order.\nAnswer: 3, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 3*j**2 - j + 3. Let p(l) = 21*l**3 - 150*l**2 - 1744*l - 4358. Let r(a) = 4*p(a) + 44*z(a). Factor r(f).\nAnswer: -4*(f + 5)**2*(f + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/888 and 73\/148.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 3*u = 0. Suppose -4*s = -34 + 14. Sort s, u, 3.\nAnswer: u, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -824 (base 9) to base 15.\nAnswer: -2ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94648570 divided by 3.\nAnswer: 94648570\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(405))**2 + 1.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1)\/(3 - 2). Suppose 4*i - 58 = -2*t, h*t + 56 = 3*i + 4*t. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7048 + -148010\/21. What is the fourth biggest value in 0, 2\/3, -39, n?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 36 = -15*r. Let x be ((-6)\/r)\/((-14)\/24). Let j = -1568\/9 - -174. Put x, -1, j in increasing order.\nAnswer: -1, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.396 + -7.457. Which is the third biggest value? (a) i (b) 3\/7 (c) -0.5 (d) 3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -45 - 2*x**2 + 45. Let i(h) = -20*h. Suppose g = 6*g - 3*y + 13, 4*g - 4*y = -12. Let b(l) = 4*l. Let u(o) = g*i(o) - 11*b(o). Give p(u(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -598, -1175, -1778, -2419, -3110, -3863, -4690?\n\"Answer: -2*o**3 - o**2 - 560*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8337)\/(-168) + (-21)\/(-56). Solve 0 = 25*n - 0 + h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04257 from -0.5.\nAnswer: -0.45743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40\/43? (a) -5 (b) 4 (c) -4\/143 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2163174*b**2\/11 - 2163170*b\/11 - 4\/11.\nAnswer: 2*(b - 1)*(1081587*b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 - ((3 - 2) + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869488?\nAnswer: 2, 31, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 14. Let o be a(-6). Solve -3*y - o*y + 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/18 - 94\/306. Let y = g + 317\/374. Calculate the common denominator of y and -37\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a + 13*a + 6*a)*(-4*a - a + 3*a) + (-3*a - 2*a + 3*a)*(-2*a - 2*a + 6*a) in the form i*a + j*a**2 + z and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 381893 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u + 15. Suppose 0 = -5*x - 4*l - 8, -2*x - 2 = -0*l + 2*l. Let i be r(x). Round i to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*j)*(8 - 9*j - 8)*(-2*j**3 + 3*j**3 - 2*j**3).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -6*i - 3*b - 27, 0 = -3*i - b + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000636539945 rounded to seven decimal places?\nAnswer: 0.0000637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -287, -2226, -7479, -17702, -34551, -59682, -94751?\n\"Answer: -276*v**3 - v**2 - 4*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from stononbd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (6 + (12\/(-4))\/((-8)\/(-12))). What is the closest to -0.0177 in 1, v, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 20. Let t = v - 3. Let g be (-2 - 0 - t) + -4. What is the greatest common factor of 132 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21312 - -21314. Let k(i) be the third derivative of 1\/600*i**6 - 1\/30*i**3 + 1\/300*i**5 - 1\/120*i**4 + 0*i + 0 + 38*i**m. Factor k(d).\nAnswer: (d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 173525289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/36*66\/9. Let j(z) be the first derivative of -2*z**2 - 3*z + 1. Let q(c) = 21*c + 16. Give d*j(u) + 2*q(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 smaller than 275933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.5 in -10, -1\/341, 0.5, -4, -1\/2, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172\/3 or -57?\nAnswer: -172\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -159\/323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 79*q**2 + 1101*q - 66. Determine x(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*z - 210 = 0, 0*h = -3*h + 5*z - 210. Let m = 1461 - 11613\/8. What is the common denominator of m and 584\/h + 7\/35?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpvrmvrrvrrrmrrxrr. Give prob of picking 3 r.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) 0 (c) -3 (d) 1\/4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 26*q + 114. Let w be l(-4). Let p(u) be the third derivative of -w*u**2 + 0*u**3 + 0 + 0*u**6 + 0*u + 0*u**4 + 1\/525*u**7 - 1\/150*u**5. Factor p(x).\nAnswer: 2*x**2*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 12. Let t = n + 11. Put t, 1, 3 in ascending order.\nAnswer: t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 11*s**2 + 10*s - 3. Let f be j(10). Let n(m) = m**2 + 8*m + 8. Let a be n(-7). Put f, a, -2 in descending order.\nAnswer: a, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*v)**(-3\/34)*((v**(-2)*v)\/v*v)**(-47))**(2\/7) assuming v is positive.\nAnswer: v**(227\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364444 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 12) to base 13\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230828?\nAnswer: 2, 3, 109, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5598438?\nAnswer: 2, 3, 933073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011 + -101?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*q + 10*q + 6*q)*(-4*q + 2*q**3 + 4*q).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -265, -559, -961, -1471, -2089, -2815?\nAnswer: -3649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -629, -2168, -5167, -10112, -17489, -27784, -41483?\nAnswer: -59072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1*2)\/((-18)\/(-27))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130399357 is divided by 260.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -156 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/258*70\/(-28)*9\/(360\/(-64))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/(188\/25741524) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 43*t**2 - 1092*t - 677. What is c(26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l. Let m(x) = -5737*x + 11435*x - 5736*x + 2. Determine v(m(r)).\nAnswer: -266*r + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3175a0 - 262?\nAnswer: -317852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/171304 and -5\/235543.\nAnswer: 1884344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 188533315421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1012\/66*(55 - 1). Suppose 24*t = t + d. What is the remainder when 112 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34029768370637 + -5?\nAnswer: 34029768370632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.28 - 0.68. Let a = f - 4.6. Put -1\/4, -2\/21, -2\/13, a in decreasing order.\nAnswer: -2\/21, -2\/13, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982.5878m to millimeters.\nAnswer: 982587.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -639 + 639. Solve -62*d + 61 + 1 = l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*s + 164*s + 7 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -142 in 0, -70, -1\/2, -20?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, 0.3, -3 in decreasing order.\nAnswer: 0.3, -0.42, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2. Let j(h) = -h + 20*h - 14*h. What is j(k(r))?\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 - 48*s**2 - 483*s + 4. Let w be t(-7). Sort 5, w, 3, -8, 0 in descending order.\nAnswer: 5, w, 3, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 678477276 and 1224.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 156288521 = 65711480. Suppose 3*q - 4*p + p - 166499997 = 0, 4*q = -p + a. What is q rounded to the nearest 1000000?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 137018, 1096114, 3699386, 8768924, 17126818, 29595158?\n\"Answer: 137015*r**3 - 2*r**2 - 3*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*j + j. Let n = 0.1 - 11.1. Let h = n + 7. What is the second biggest value in -0.1, h, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47294 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -17\/30*t**6 + 5\/12*t**4 - 24*t + 0*t**2 + 0 + 0*t**3 + 0*t**5. What is the third derivative of a(w) wrt w?\nAnswer: -408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20760193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2746e6 (base 15) to base 2\nAnswer: -111001100111110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/4 + 3*v + 1. Differentiate k(i) with respect to i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (175\/(-38))\/35*8\/(-10)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -73*y**2 + 257*y**2 - 77*y**2 - 68*y**2 - 70*y**2 - 14*y - 3*y**3 - 36. What is u(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * -46800173.\nAnswer: 3276012.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 3)*(111 + 17*t - 111) + 2*t - 5*t + t)*(1 + 2 - 1)*(2*t + 0 + 0).\nAnswer: -76*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32059533 and 1848?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/((-23744)\/795)*4\/5*(-56)\/(-60).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 729 and 6191397?\nAnswer: 6191397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 328, 528, 752?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/2 - 5149*c + 51465\/2 = 0.\nAnswer: 5, 10293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -5, 0.3, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 6*q - 6*q**2 + 3*q**2)*(-2 + 4*q + 2).\nAnswer: 8*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -7*w + 1360, 2*w + 0*r + 3*r = 362. Calculate the highest common factor of w and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 1\/14*a**4 + 4 + 18\/7*a - 10\/21*a**3 + 3\/7*a**2. Factor q(t).\nAnswer: 2*(t - 3)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-2)\/(-4 + (8 - (-70)\/(-4)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95217 is divided by 180?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008202 rounded to five dps?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 335838 a multiple of 669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4)*(-5624)\/(-57). Suppose 4 + h = 3*m. Calculate the greatest common factor of 104 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11\/x*x\/(x\/(((x*x\/x**22)\/x)\/x))*x**10\/x**(10\/11))**(-13) assuming x is positive.\nAnswer: x**(416\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -8 + 1 - -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 63 = 171. Suppose -6*x - 2*x = -3*x. Let r = b - x. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1463\/4 - -363. Find the common denominator of 63\/22 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469713 is divided by 79.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = 8449 - 58819. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 5*w - 18)*(-81*w**3 - 9*w**4 + 81*w**3) - 3*w**5 - 3*w**5 + 4*w**5.\nAnswer: 43*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138287.7 - 4.\nAnswer: -138291.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**6\/3 + 4*f**3\/3 - 2*f**2 + 10. Let h(d) = d. Let k(g) = -4*h(g) - p(g). Find the third derivative of k(y) wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1167291, 2334584, 3501877, 4669170?\nAnswer: 5836463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 240597972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {s: 7, d: 1, j: 1, a: 3, w: 4}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p**2 - 119*p + 119*p)*(2 - 4 - 2)*(-6 + 2 + 1).\nAnswer: 168*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3091 + 231 = -44*h. Calculate the remainder when 114 is divided by h.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**7\/840 + c**4\/8 + c**3\/3 + 2. Let t(v) be the third derivative of h(v). Differentiate t(g) with respect to g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -638, -1347, -2064, -2795, -3546, -4323, -5132?\nAnswer: -5979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -9*v + 4*v - n, 0 = -4*n - 16. Suppose -2*s + 22 = i, -s + 2*s - 2*i - 11 = 0. What is the highest common factor of v and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 8*j + 84. Let g(p) = -p**3 - 12*p**2 + 3. Let k be g(j). Let n(o) = o**2 + 3. Let b be n(k). Solve 0 = -6*m + 2*m + b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*s + 211*s - 101*s - 143 = 0. Let y(c) be the second derivative of 19\/6*c**3 + s*c**2 - c + 0. What is the derivative of y(i) wrt i?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r. Let c(l) be the third derivative of -l**4\/2 + 7*l**2. What is k(c(q))?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2012 - 313223330?\nAnswer: -313221312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 12*j = -5. Let f be ((-4)\/(-6))\/(j\/6). Which is the second biggest value? (a) f (b) 2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 195*w - 410.\nAnswer: 5*(w - 2)*(w + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/4 + (-1)\/2. Suppose l*r - 3 = r. Solve 0 = -0*d - r*d + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(48) + 4 + 2*sqrt(3))*-5 - (3 + ((0 + sqrt(108))*5 - sqrt(108))))**2.\nAnswer: 5244*sqrt(3) + 39517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, 5\/41, 7\/5, -2, 0.05?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3407, 28321, 96247, 228689, 447151, 773137, 1228151?\n\"Answer: 3584*d**3 + 2*d**2 - 180*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 159. Let n(y) = -60882*y**2. Give p(n(d)).\nAnswer: -60882*d**2 + 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 144059*1\nAnswer: 144059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:27 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.057 - -1.057. Put k, -2, -6 in descending order.\nAnswer: k, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - g + 1. Let j(a) = 6*a**2 - 5*a + 5. Let n(w) = 10*f(w) - 2*j(w). Let y(l) = -l. Calculate y(n(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 124cb (base 15) to base 2\nAnswer: 1110010001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-21)\/3 - 3. Suppose 0*j - x*j = -96. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -13*b**5\/30 - 5*b**4\/12 - 277*b**3\/6 - 50*b**2 - 3*b. Differentiate z(u) wrt u.\nAnswer: -52*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171409*0.03.\nAnswer: -5142.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 2*x**3 + x + 2*x**2 - 2*x**3. Let h be (-4 - -1) + 2\/2. What is the tens digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(3\/4)*o)\/(o**3\/o)*(o**(4\/3)\/o)\/(o*o*o**(-1))*((o**(-2\/7)\/o)**(-13))**(-43) assuming o is positive.\nAnswer: o**(-60281\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u*u\/(u\/u**(-4\/7)))\/u*u)**(-5\/18))**5)**(-2\/65) assuming u is positive.\nAnswer: u**(50\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -3, -8, -3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133305782 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a - 2*a + 3*a + (1 + 0 + 0)*(-6*a + a + 3*a))*(-116*a - 665 + 665)*(-4 + 4 - a) to the form j*a**3 + p + x*a**2 + n*a and give j.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 9. Let a(p) = 8 + 4 - 16 + 5. Calculate 5*a(m) + x(m).\nAnswer: m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 8)*(1 + 4 + 9)*(3*o - o - 4*o)*(3*o**2 - 2*o**2 - 3*o**2).\nAnswer: 392*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 62 + 17 - 50*o**2 + 27.\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-1*(-5 + 3). Solve 3*y - 5*n + 25 = 0, -2*n + 29 = -p*y - 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, -7, -0.1, -11511, 1 in ascending order.\nAnswer: -11511, -7, -0.3, -0.1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**7\/315 + 7*o**5\/90 + o**4\/6 - 2*o**2 - 12. Find b, given that k(b) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, l: 6, e: 5, g: 1}. Give prob of sequence gs.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210221222120 - -12?\nAnswer: -210221222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39498348.\nAnswer: 2, 3, 29, 113501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 - 42 - (-7 - (79 - (-6 - -6)))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45.7 + -48. Let l = i + 2.29999988. Round l to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -1.183, 3?\nAnswer: -1.183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -187\/12, 110, 0.3 in ascending order.\nAnswer: -187\/12, 0.3, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + w - 714000002, -5*o - 5*w + 53631048 = -1136368962. Suppose -f - 4*f = o. Let j be (1\/(-2))\/((-7)\/f). Round j to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130145329.568997093 + 130146039.769. Let o = l - 710.2. What is o rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 37. What is the second derivative of -3*f**a + 0*f**4 - 7*f + 9*f wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - o + 254 - 237, -o = -t - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**2 - 6*y. Let w = -13 + 8. Let v(z) = 7*z**2 + 7*z. Let h(t) = w*v(t) - 6*b(t). Find the second derivative of h(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 53841, 1\/8, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775198 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.019 (b) -2 (c) -0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -1\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 549267 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 a(y) = y**3 - y**2 + 2*y - 6. Let q be a(0). Calculate the common denominator of 129\/q + 8\/(2 + -4) and (-262)\/(-12) - (2 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15563 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*6*2\/(-21)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*b + 3 - 29, -2*b - 16 = 3*k. Let r(n) = -n - 1. Let q(c) = c**2 + 14*c + 12. Let l(o) = -q(o) - 6*r(o). What is the tens digit of l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4686*p**2 - 4810*p**2 + 9499*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 495 = -0*a. Let f = a + 281. Suppose 3*n = -f - 238. Round n to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 16*k + 145 = 0. What is the remainder when 86 is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.057415+-0.003\nAnswer: 0.054415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(48) + sqrt(48) + -1)*-2.\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000084811 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 i when three letters picked without replacement from hkihiiihyhihhhihh.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3bd (base 16) in base 11?\nAnswer: -7a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/4*(3 - 0). Let i be 6\/j + 12\/7. Solve 9 = -3*t + i*p, 0*t - 4*p = 3*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 33. Determine z(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -347 or 2\/24203?\nAnswer: -347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-20)*-5*2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 29, -11 in decreasing order.\nAnswer: 29, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4, 5*c + 4 + 26 = 5*o. Suppose -2 - 4 = -o*d, 5*d - 33 = -3*f. Suppose 100 - 80 = 2*r. Calculate the remainder when r is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 2*z - 3. Let m(s) = -8*s + 23. Calculate the smallest common multiple of m(2) and k(3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -289*w**4 + 615779*w**3 - 728*w**2 + 98799 wrt w.\nAnswer: -6936*w + 3694674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 53339425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 2. Let l be z(0). What is the remainder when 7 - 0*(3 + l) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkdkqkkdkqdk. What is prob of picking 1 q and 1 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5\/4 (b) 1 (c) -0.01 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6009968383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 50?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = n - 21, -2*c - 3*n + 27 = -0*c. Suppose -13 = 2*s + 4*r - c, 0 = s - r - 4. Solve s*m = 6*m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/2))**50*((n**0\/n)\/n*n*n)**(-2\/45))\/((n*n*(((n**(1\/6)*n)\/n)\/n)\/n*n)\/n**(2\/5)*(n**2)**0) assuming n is positive.\nAnswer: n**(2227\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -386 and -0.2?\nAnswer: 77.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30697\/16 - 1919. Let j be 24*((-4)\/301)\/2. Let x = j - 39169\/5418. Calculate the common denominator of t and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, o: 2, n: 5, w: 9}. Give prob of picking 2 w and 2 h.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r - 1. Let l(g) = -39*g + 3. Let x(v) = -18*d(v) - 5*l(v). Let s = 864 + -838. Let y(n) = -n**2 + 13*n - 13. Give s*x(w) + 6*y(w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lddlllllllllldlldl. What is prob of picking 3 l and 1 d?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, a: 9}. Give prob of picking 4 n.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116286.921s to days.\nAnswer: 1.3459134375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (34\/(-6) + 2)*3. Let w = z - 4. List the prime factors of (12\/(-10))\/(6\/w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1295994518\/759 - -1707503. Let z = q - 2\/253. Factor 0 - z*m - 1\/3*m**2.\nAnswer: -m*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - 0.6. Let m = 106 - 104. Suppose -g - 2*f - 11 = -1, m*g + 17 = -3*f. Sort 1, g, w.\nAnswer: g, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3\/5, -2\/7, 34, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (-1*sqrt(121) - sqrt(121)))*3 - -5*-2*sqrt(121))\/(-1*-1*sqrt(176)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22929\/13 + -2566553\/1456. Calculate the common denominator of -15\/886 and a.\nAnswer: 49616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 593*d - 3481. Calculate the smallest common multiple of 912 and x(-6).\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116978?\nAnswer: 2, 23, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 28*y**2 - 29. Calculate a(-28).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2062*h**2 + 1040*h + 8. Let f(l) = l**2 - l + 4. Let m(d) = 2*f(d) - q(d). What is the second derivative of m(n) wrt n?\nAnswer: 4128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b + b)*(0*b**2 - 4*b**2 + 2*b**2) + b - 3*b**3 - b + 5*b**2 - 9*b**2 - 5*b**2 + 2*b**3 - 6*b**3 - b**3 + 4*b**3 + 4*b**3 - 3*b**3 + 9*b**3.\nAnswer: 2*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271.\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58831616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -12*d + 0 + 4*d + 0. Let w(q) = 2*q. Calculate u(w(o)).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 5*q**2 + 8*q - 12. Let g be d(6). Solve g*m + 4 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-6) + (3850\/(-60))\/7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6059 + -5271. What is the remainder when b is divided by 359?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -181, 3, 7 in decreasing order.\nAnswer: 7, 3, -14, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-2))\/n**(-5\/2))\/((n*n\/(n**2*n)*n)\/((n*n*n*n**(-1\/5))\/n)))\/(n**(1\/8)*n**(1\/8)\/n*n)**3 assuming n is positive.\nAnswer: n**(131\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2283434 by 1.\nAnswer: -2283434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10\/11 + 41\/33. Let f = -230\/3 - -77. Which is the closest to f? (a) -0.5 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18681033 (base 9) in base 10?\nAnswer: -9442038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.2 (b) 2.1 (c) 2\/11 (d) 6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/294)\/(8\/12). Put 5, -0.03, n in decreasing order.\nAnswer: 5, -0.03, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -39, -94, -179, -300?\n\"Answer: -l**3 - 6*l**2 - 6*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 85.46512m?\nAnswer: 85465120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 31821834*o.\nAnswer: 3*o*(o + 10607278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.59593 decades to centuries.\nAnswer: 3.859593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 greater than or equal to 1050\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202389 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + 25 = 2*y, -3*r - 5*y = -79. Suppose -2*n - 8*n = 590. What is the remainder when 74 is divided by (-22)\/r - n\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 4, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71584 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4*c - 88, 3*w - 5*c - 265 = -2*w. What is the remainder when w is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swszcisszcwhhi. What is prob of picking 2 s?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.18, -5, 29, 4, 0, -0.5 in ascending order.\nAnswer: -5, -1.18, -0.5, 0, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-11) - 2\/(-11). Suppose o = 2*q - 0*q - 24. Suppose -5*z + 8 = -q. Solve -2 = -z*p + 2, -a = -3*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8120*c - 81193. Determine u(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + l - 38. Suppose 0 = a - 5, -3*g + 71 = -2*a - 144. Calculate the remainder when g is divided by l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -494397\nAnswer: 7\/494397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/4 + 1 + 8. Let q be z\/(-2 - 39\/(-18)). Let x = -15 + q. What is the greatest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*j + v, -j - 16 = -0*j - 3*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -15, -8, 13, 54, 121, 220?\n\"Answer: o**3 - 2*o**2 - 2*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 8 - 4. Suppose 2*v - x*p - 2 = 26, 2*p + 70 = 5*v. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44725685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8366074999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (-10 + 294\/35)\/((-2)\/1740)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 11. Suppose -9 = 2*q - 27. Determine v(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(7 - 3) - 1. Suppose 0 = -i + 4 - s. Suppose -2*m = -i*m + 28. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.2, -0.067, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 3 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6, -10*v + 32*o + 80295 = 37*o. List the prime factors of v.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*(sqrt(14)*-2 + sqrt(14)) - (sqrt(1400) + -1*sqrt(1400)))\/((sqrt(800) - (sqrt(800) - sqrt(800)*1))\/sqrt(4)))**2.\nAnswer: 2*sqrt(7)\/5 + 32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -2141 (c) -0.3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + (4*-6*-6*sqrt(8))**2)*3.\nAnswer: 2488395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 5*p**2 - 6*p + 5. Let m be u(6). Suppose m*c + 9 = n, -6*n + n + 4*c + 45 = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3438 - -0.0438. Sort 1\/3, 3, m in decreasing order.\nAnswer: 3, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 117\/382, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18864891454 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-5 + -4 + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 43. Let u be 3*(p + 100\/(-24)). Let s = 108 + -106. Sort 5, u, s.\nAnswer: u, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 8 - 33 + 5*c**2 + 4*c**4 to the form o*c**3 + n*c**2 + q*c + u + i*c**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 4168 = -16*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/7)*y*y**(12\/5)*(y*y**(2\/7))\/y**6 assuming y is positive.\nAnswer: y**(-31\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24100 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -41 - 159. Let t = m + 37. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100748*w - 99997*w = 68341 for w.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 16*o**2 - 5*o**2 - 295*o**2 as n + c*o**2 + i*o**3 + v*o and give c.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -11*u**3\/6 + u**2 + 4*u. Let x be i(2). Let y = x - -31. Calculate the remainder when 42 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 388, 821, 1258, 1699, 2144, 2593, 3046?\nAnswer: 3503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09 + -0.0975. What is c rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15601 is divided by 49?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86 (base 12) to base 6.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4475\/396 - 439\/36. What is the common denominator of p and -49\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*k**3 + 10*k**2 - 24*k**3 + 21*k**3 + 3*k - 1 - 15*k**3 in the form l*k**3 + z + g*k**2 + x*k and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-10)\/m**(-1\/2)*m**(-12)\/(m\/(m**(2\/17)*m)) assuming m is positive.\nAnswer: m**(-727\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8218458.\nAnswer: 2, 3, 456581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 11*d**2 + 11*d - 7. Let p be y(10). Suppose -p*n = -37 - 14. Calculate the lowest common multiple of 6 and n.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21087, -84679, -190671, -339063, -529855?\nAnswer: -763047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 14 = r, 4*r - 2*b = 2*b + 40. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 11) in base 12?\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + p = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 8. Let u(h) = h + 7. Let y(a) = 4*p(a) - 5*u(a). Let r be (2\/7)\/(1\/7). Determine y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*s**2 - 8 + 7 + 3*s + 1.\nAnswer: -81*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121663303 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 1330901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62687 - 62669. Suppose -o - 5*r + 135 = -2*r, 4*r = -12. Calculate the lowest common multiple of x and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 2, n: 4, o: 4, r: 1, t: 2}. What is prob of sequence nrk?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 3\/5, 1\/2, -3, -1 in increasing order.\nAnswer: -3, -1, -0.03, 1\/2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17661.69 rounded to the nearest 10?\nAnswer: -17660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -631960679*b**3 - 44958401*b**2 wrt b?\nAnswer: -3791764074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/9))**(-6\/17))**(-26)\/(t**(-2\/9)\/(t\/(t*t**(-9))))**(-20) assuming t is positive.\nAnswer: t**(-26504\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 33 + 7. Suppose y*j - 45 = 5*j. Suppose 2*p = p + 2*f + j, 3*f + 26 = 4*p. Solve -3 = -i, -4*x - 2*i + p*i = 25 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + i + 4. Determine t(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l + 31. Let a be o(6). Suppose -5*f = -7 - 18. Differentiate -f*j**2 + a + 2 - 1 wrt j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2415397?\nAnswer: 37, 97, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -2)\/(-10 + 11). Sort 1\/36, -1\/2, -0.06, -0.4, l.\nAnswer: l, -1\/2, -0.4, -0.06, 1\/36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -1\/180*x**5 - 5*x + 0*x**4 + x**2 + 0 + 0*x**3. Let s(r) be the first derivative of d(r). Factor s(k).\nAnswer: -k**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 11346696*y**2 - 4*y + 11346772*y**2.\nAnswer: 76*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000000100001 + 11011?\nAnswer: 1111000000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*d - 6. Solve 17 = 2*i - d*h - 0, 0 = i - 3*h - 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from {u: 2, t: 4, m: 4, l: 2, s: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 e when three letters picked without replacement from kjkskssekokooee.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 39 = -21. Let m(z) = -z**3 - 11*z**2 + 11*z - 14. Let t be m(v). Suppose 0 = -2*g + 6*g - 4. Is t less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3*o = -g - 32, 28 = 5*g - 2*o. Suppose -g*q + 3598 = -y - 1714, -20 = -5*y. List the prime factors of q.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -3*m. Let w be 2\/16 - (-228)\/(-288). Are w and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.975135, -4, 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(931) + 5 - sqrt(931))**2.\nAnswer: -280*sqrt(19) + 14921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 371*u**4 + 1411?\nAnswer: 1484*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 1. Let g(b) = -5*b - 4. Let m(a) = -3*g(a) + 8*n(a). Let o be m(2). Let h = 222 + -214. Calculate the highest common divisor of h and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 3*g - 7. Let r be a(-5). Let p be (-24)\/5 + -9*(-7 + (-19)\/(-3)). Find b, given that -56\/15*b - 16\/15 - p*b**r - 4*b**2 = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**23*h**(-35\/6))\/((h\/(h*(h*h*h\/h**(1\/11)*h*h*h*h)\/h))\/(h*h*h\/(h*h**(6\/5)*h)*h)) assuming h is positive.\nAnswer: h**(7879\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1832351 is divided by 366464.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 936, 1526, 2116?\nAnswer: 2706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-5 - (-5 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -1558*j**3 - 4*j**2 + 10*j - 5. Let m be q(13). Round m to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 8975902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -18a5?\nAnswer: -18a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -43349.7024 minus 266?\nAnswer: -43615.7024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -605\/6 + 100. What is the common denominator of i and 47\/236?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -207 + 557. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a kilogram in grams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -144.5+-736\nAnswer: -880.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -10212002?\nAnswer: -10212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/((-72)\/81) + -2. Suppose 194650000 = 12*x - q*x. Round x to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/44 - (-86)\/72. What is the biggest value in l, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.536338735223 and 1.\nAnswer: 1.536338735223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -11?\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6926 - -6926.1. Which is the nearest to k? (a) 35\/3 (b) 2 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 8*h + 3. Let a(o) = -8*o + 10*o + 12 - 49. Let u be a(23). Calculate s(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.1113, 30\/7, 1\/6, 3?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140810 rounded to the nearest 10000?\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*i - 21, 4*i - 30 = -4*w - 6. Find the second derivative of o**3 + 6*o - w*o**4 - o**3 wrt o.\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**4 - 2056529*z**3 + 4189567*z**2 wrt z?\nAnswer: 48*z - 12339174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:53 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23785 and 9301?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - 1.4. Sort x, 0.3, -5 in descending order.\nAnswer: 0.3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 73842.\nAnswer: 738420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 50.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + (-6 - (0 - 1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 433965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -128*g - 131*g + 262*g. Let j(y) = 29*y. What is j(l(z))?\nAnswer: 87*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 2)\/(1 - -1). Sort -50, j, -3 in increasing order.\nAnswer: -50, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - x. Let j be (0 - 0)\/(1\/1). Let u be (x - -1)\/(-4)*j. Solve u = 7*m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 33*n**3 + n. Calculate the remainder when t(1) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 572 (base 10) to base 2.\nAnswer: 1000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, -35, 91, 82, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -163*y - 212. Let r be n(12). Let l be (r\/(-168) - 12) + 2\/3. Factor 2\/7 - l*h**2 - 5\/7*h - 4\/7*h**3.\nAnswer: -(h + 1)*(h + 2)*(4*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)\/(f*f**(2\/3)*f))**(-39)*(f**(-3\/4)\/(f\/((f\/f**(4\/5))\/f)))\/(f**(-6)\/(f*f**(1\/2))) assuming f is positive.\nAnswer: f**(13693\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - j - 16 = -0*j, 3*j = -2*v + 7. Let f = -4 + v. Let s(m) = 1. Let o(n) = 2*n - 5. What is f*o(l) + 4*s(l)?\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -14. Factor -20*h**g + 5*h + 7*h**2 + 12*h**2 - 4*h.\nAnswer: -h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20487044?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 - 6)*(-3*l + l + 3*l + (-4*l - 2*l + 3*l)*(2 - 5 + 1) + 7*l - 4*l - l).\nAnswer: -90*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) -4 (c) 35 (d) 3 (e) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**3 - d**2 + 2*d - 1. Let j be r(1). Let s be -6*j\/16*2. Suppose -5 = -s*t + 16. What is the smallest common multiple of 16 and t?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 1 - 1)*(3*u**2 - u**2 - u**2) to the form h*u + d + b*u**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -m - 68, -f - 4*m = -6*f - 322. Suppose 3*z = b + 202, -21*b + 19*b = 5*z - 344. Let n = z + f. Solve c - 2 = 1, -n = 4*x + 2*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/144 and 2\/10*(-7550)\/120?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20161*q + 3 + 1 - 4.\nAnswer: 20161*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 168*h**3 - 179*h**3 - 27.\nAnswer: -11*h**3 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 5*y = 270. Let u = -27 + y. Let b be ((-27)\/36)\/((-3)\/12). Solve 3 = b*s - u*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let k(g) = g**2 + 3*g - 5. Let u be k(-4). Let t be (u\/(-2))\/((-5)\/(-2)). Which is the third smallest value? (a) z (b) t (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 5*j - 6. Let y be i(-5). Let h = y - -3. Let t(k) = 666666*k - 2. Let n be t(h). What is n rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q. Let b(z) = -3*z. Let h(t) = -5*b(t) + 4*u(t). Let w(v) be the third derivative of -7\/24*v**4 + 0 + 212*v**2 + 0*v + 0*v**3. Calculate h(w(k)).\nAnswer: -49*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 3*n**2 - n + 36. Let s be c(6). Let j = s - -471. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-138))\/(9\/54). Is a at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35783300 rounded to the nearest one hundred thousand?\nAnswer: 35800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:15 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 36.8. Let w = t + 7. Which is the smallest value? (a) 5 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0 + 1\/6*a**3 + 4*a + 0*a**2. Suppose -2*q = -5*q - 6. Calculate t(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -26.1. Let n = 2 - 1.5. Which is the nearest to z? (a) n (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 3\/100*k**5 + 0 + 0*k**2 - 16*k + 0*k**3 - 1\/30*k**4 - 1\/150*k**6. Find r such that a(r) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281400045 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14358*h**2 - 5*h + 1753473.\nAnswer: -28716*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 136423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8024 (base 10) to base 9.\nAnswer: 12005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1470977 is divided by 190.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -956330 minus 0.0478547?\nAnswer: -956330.0478547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -826178 by 413089.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1368 and 28386.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*r + 321*r**3 + 4169*r**3 + 8*r + 12*r + 15*r.\nAnswer: 4490*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4841853525*c - 35*c**2 - 4841853525*c - 4*c**2.\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 5)*(0 + -9). Let t = 35 + z. Suppose 6*l - t = 2*l. What is the remainder when 19 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*a - 2*d - 22, -1 = 2*a - 3*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75901 is divided by 937?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 512 and 9760?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -2, 1\/9, -3, -2\/21?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*d = 69*d + 4662. What is the highest common factor of d and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -308, -565, -770, -923, -1024, -1073?\n\"Answer: 26*g**2 - 335*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a - a + 13*a)*(-1 - 1 + 1)*(-5 - 5 + 0) - 4*a - a + a)*(-15*a - 7*a + 43*a).\nAnswer: 2226*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y - 35*y**4 + y + 14*y**2 + 18*y**2 wrt y.\nAnswer: -840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(3\/(1*-3)). Suppose 0 = q*j - 4*j - 10. Solve 2*y + 3*y = j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-56))\/((-5)\/5).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13893336 divided by -4?\nAnswer: -3473334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v - 14. Let k be o(-5). What is the closest to k in -5, 0.9, 5\/2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/2)\/((-4)\/6). Let j be (4\/(-10))\/(g\/(-30)). Let n(b) = 4*b - 141. Let y be n(36). Solve y*w - j*w + 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -19. Which is the third smallest value? (a) r (b) -0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgtpgfp. What is prob of sequence ggcp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 307 - 51. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 + 3*d + 13. Give x(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-256)\/36*14*60\/1120\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1093 + -744. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/3, 253, -2\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11010110100000101 (base 2) to base 5\nAnswer: -12003304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + -4 - (4273 + -4185).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -403\/3 - -136. Let y = -3\/11 - 5\/22. Let o = -9149.4 + 9149. What is the third biggest value in y, o, s, -0.01?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.01.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1732089160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (74\/(-4) - 0)*-2. Suppose q = -3*c - 11. Is (255 + -1)*(-8)\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 19*x - 7. Let w(p) be the second derivative of 3*p**3 - 4*p**2 + 4*p - 20. Calculate 7*k(u) - 6*w(u).\nAnswer: 25*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p + 2. Let a(o) = 2*o + 2. Let k(v) = -6*a(v) + 5*w(v). Let r(b) = b - 1. Let m(l) = -l + 1. Let z(h) = 6*m(h) + 5*r(h). Calculate -k(g) - 4*z(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 110 = 32 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x = 12*x + 603 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqt when three letters picked without replacement from {q: 10, t: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 18 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2423958125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 25\/(-10) + 8\/(-16). Sort -4, 0.8, -15, l in ascending order.\nAnswer: -15, -4, l, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -37. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.968967 decades?\nAnswer: 0.7968967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-12) - 2)*-4. Suppose -3*m = r, -21 = -r + m - z. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/64 and 121\/289040.\nAnswer: 1156160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000085824 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 18600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 and -51\/11335.\nAnswer: 11335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 10, -j = -m - 3*m - 10. Is m at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 165, 331, 499, 669?\n\"Answer: w**2 + 163*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 30, -0.2, 0.4, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s**3 + 274*s**2 - 456*s + 56 = 0. What is s?\nAnswer: 2\/15, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012217553 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513515, -1027019, -1540523, -2054027, -2567531, -3081035?\nAnswer: -3594539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) -3 (c) -4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1046*h + 312 = -1040*h. Suppose h*j - 53*j = -30273. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18535, -18533, -18539, -18559, -18599, -18665?\n\"Answer: -v**3 + 2*v**2 + 3*v - 18539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -113743600 to the nearest 100000.\nAnswer: -113700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - o + 2. Suppose -5*p = 4*i + 1 - 3, -4*p + 16 = -4*i. Let l = -7 + 27. Calculate the least common multiple of l and g(i).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = 5*k - 3*p, p - 104 = 4*k - 3*p. Let a = k - -25. Calculate the remainder when 6 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, 119, 267, 463, 701, 975, 1279, 1607?\n\"Answer: -x**3 + 33*x**2 + 2*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9 = -0*q. Suppose 3*b - 3*x - q = 0, -2*x + x = 3. Let z(l) = -62*l + l**2 - l**2 + l**2 - 7 + 63*l. Give z(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(7) + (sqrt(448)*-1 - sqrt(448))))**2 - (-5 + sqrt(720) + 1)**2.\nAnswer: -33119\/45 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3\/11 - 680672*i**2 + 14974791*i\/11 + 22462182\/11 = 0.\nAnswer: -7487394, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 717468.5 years in centuries?\nAnswer: 7174.685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and 0.026.\nAnswer: -11.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 760700.4 millennia?\nAnswer: 9128404800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 911152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ac - -3546e?\nAnswer: 352b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4*2*3. Suppose 0 = -f*s + 8*s - 125. What is the remainder when s is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*g - 3 - 74 + 75 + 3*g**2 + (-2*g + 5*g - g)*(2*g + 5*g - 5*g) + 2*g**2 - 5 + 5 in the form l + r*g**2 + v*g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1623.\nAnswer: 2\/1623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61947615.\nAnswer: 3, 5, 4129841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 270 + -259.1. Let v = d - 11.1. Which is the biggest value? (a) 1\/3 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 8. Let v(n) be the second derivative of 0*n**5 - 1\/6*n**4 + 0*n**q + 1\/30*n**6 - 2*n + 0*n**3 + 0. Find the third derivative of v(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -54, -2\/9, -4, -4\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/7)\/(s*s**(-27)*s*s))**12 assuming s is positive.\nAnswer: s**(2064\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-5\/3)*w)*w)\/(w\/(w*(w**23*w)\/w)*w))\/(((w*(w*w*w*(w\/(w*w**(-2)))\/w*w*w)\/w)\/w*w*w)\/(w\/w**(-25))) assuming w is positive.\nAnswer: w**(131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/15054 and 64\/33.\nAnswer: 165594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35227073*o - 9086749 wrt o.\nAnswer: -35227073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 0.3, 6, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1019 at most -1629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62912497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 29*b + 983. What is h(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53.131 - -0.131. Let m = -55 - z. Which is the second biggest value? (a) -7\/3 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**4\/9 + 4*u**3\/3 + 58*u**2\/9 - 76*u\/3 + 160\/9 = 0.\nAnswer: -5, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -379.8 + -65.2. Let h = w + 445.21. Is 2\/25 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 105 = 2*c. Let a = 3 - -2. Suppose 37 + 8 = a*t. What is the remainder when c is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -11. Solve g - h = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + 0*h)*((-3*h**2 - 3*h**2 + 4*h**2)*(-41*h - 15*h - 19*h) + (-2*h + h - h)*(2 - h**2 - 2)).\nAnswer: -304*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 29*x**3 + x**2 - x. Let g be z(1). Let s = 41 - g. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -587 + 587. Let k(c) be the third derivative of -4\/15*c**5 + 0*c**4 + 0*c + 6*c**2 - 1\/70*c**7 + 1\/10*c**6 + x + 1\/1344*c**8 + 0*c**3. Factor k(n).\nAnswer: n**2*(n - 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 488*d**4 - 8*d**3 + 3*d**2 - 125909?\nAnswer: 1952*d**3 - 24*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*v - 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or -310\/9?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6784 and 0.034666.\nAnswer: 235.174144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -288\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*n**2*u + 3421*n*u + 25926*u + 2 with respect to n.\nAnswer: -34*n*u + 3421*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, y: 3, m: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/3)\/((-1)\/3). Suppose 3*m = x*m. Suppose -4*q + 0*q - 4*b + 24 = 0, 3*q - 26 = -5*b. Solve 0 = -q*i - m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*j + 26*j - 15*j)*((2*j + 4*j + j)*(0 - 3 + 4) - j - 3 + 3) as p*j + g*j**2 + w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-268079)\/(-343) - 3\/(-7). What is the highest common divisor of 102 and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*m**3 + 14*c**3*m**2 - 9*c**3*m + 115*c**2*m**2 + 3*c*m**3 - 27*m**3 wrt c.\nAnswer: -6*m**3 + 84*m**2 - 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 d when three letters picked without replacement from {i: 4, d: 2, n: 4, q: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 34*r**2 - 168*r + 120. Let l be h(28). Solve 62*s - 2*s = l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 0 + (-2 - 4 + 5)*(1 + 1 - 4) - 4 + 4 + 1)*(11 - 297 - 282)*(-4 + 4 - g**2) in the form n*g + m + p*g**2 and give p.\nAnswer: 2840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29951 = -42*x + 62*x + 36*x + 435*x for x.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 858, 3439, 7732, 13731, 21430, 30823, 41904, 54667?\nAnswer: 69106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + 22. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -126 - 113) + (-39 - -1).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**3 - 19*v + 5*v**3 + 17*v - 2*v**2 - 2 as u*v**3 + l*v**2 + r*v + o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-15) + 144\/90. Which is greater: -4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/6 + 2\/3. Suppose 2*b + o - 2 = 0, -y*b + 14 = -2*o - 2*o. Solve -5*a - t + 23 = 0, -b*a + 4*a = t + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 2*b - 10*b + 85 = 0 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*l + 11819 + 32*l + 23*l - 91*l + (-4 + 3 + 0)*(-2*l + 2*l + 2*l))*(-2 + 4 - 5).\nAnswer: 12*l - 35457","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 16088*g**3 + 1 + 0 + 76*g**2 + 250*g**2 + 1 - 16090*g**3 + 2*g in the form j*g**3 + w + o*g + u*g**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 6*a)*(3*a - 2 - 4*a + 0*a).\nAnswer: 2*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -222564020?\nAnswer: -222564020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4875252 is divided by 2437597?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 684 and 8028.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 - -91. Solve 0*c = i*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.426397us?\nAnswer: 426.397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4660740 divided by -17262\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029735473 less than 267492?\nAnswer: 267492.029735473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 498666 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/10)\/(1236\/120 - 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.26 rounded to the nearest integer?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 277 - 55 = 6 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -93*x - 99*x + 191*x. Let j(r) be the second derivative of -r**3\/6 + 6*r. Let b be 2\/(10\/4 + -2). Determine b*q(n) - 3*j(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2602230 * -4.\nAnswer: 10408920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/42 and -35\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 48 = -11*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000781296 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -291.05 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - -23 - -2 - 2. Let f(o) = 3*o - 4. Let w be f(3). Let m be (10\/u)\/((-1)\/w). Put 0, m, -1 in increasing order.\nAnswer: m, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -37*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 9:28 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407 a factor of 2132588794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1. Let h be 6\/(-4) - (-85)\/34. Let n(f) = -20*f - 15. Let m(p) = -7*p - 5. Let x(r) = 11*m(r) - 4*n(r). Calculate h*x(c) + 6*z(c).\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -5 - ((-18 - -21) + -14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*y = -28*y + 53*y - 1575 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 338 divided by 4\nAnswer: 169\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 50*i - 3403. Give n(-91).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056648.\nAnswer: 2, 3, 44027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -390.075 and 0.02068859.\nAnswer: -390.05431141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46717711?\nAnswer: 1091, 42821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v**(-2\/21)\/v)\/(((v\/(v*v\/(v*v\/v**(4\/5))))\/v)\/v**(2\/11)) assuming v is positive.\nAnswer: v**(6799\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 60 = -3*w. Suppose 2*i - 20 = -w*i. Factor -3\/2*y**2 - 3\/2*y**3 + 3\/2*y**i + 0 + 3\/2*y.\nAnswer: 3*y*(y - 1)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 7, w: 5}. Give prob of picking 3 w.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 5*w**3\/6 + 46*w - 8. Let j(i) = -317*i. Determine u(j(z)).\nAnswer: -1585*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by (-7 - -12)\/(88\/(-110)*2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 50. Suppose 0 = -s*y + 1412 + 598. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1494 - 7472\/5. Which is the closest to 45? (a) y (b) 0.2 (c) -2\/21 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 2015*n**2 - n - 75*n**2 - 1973*n**2 - 2.\nAnswer: -33*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2795 divided by -40042\nAnswer: -2795\/40042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 6*u - 10. Let j(v) = 3*v**2 - 5*v - 9. Let h = 14 - 8. Let d(p) = h*j(p) - 5*n(p). Differentiate d(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183 - 51. Suppose 2*h = -h + l. Is ((-418)\/4)\/((-22)\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from rirrslssrrrsrrsr.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5338547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by 136076.\nAnswer: -69\/136076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0*t**3 - 1\/120*t**6 + 0*t + 0 + 1\/12*t**4 - 5*t**2 - 1\/120*t**5. Let b(f) be the second derivative of x(f). Calculate b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 29*p**2 - 88*p - 1262. What is w(-32)?\nAnswer: -1518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89359 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0090569742 rounded to 4 decimal places?\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -2 + (1 - -1). Let n be -1 - (w + -9)\/3. What is the third derivative of 3*f**n - 6*f**2 + 5*f**2 - 2*f**4 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = d + 5*z, -4*z - 2 = -3*d - 16. Let y(w) = -w**2 + 5*w - 3. Let i(s) = -2*s**2 + 9*s - 7. Let r(o) = d*i(o) - 5*y(o). Is r(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 11*u + 4*s = -20, 4*u + 25 = -5*s. Let r be (-30)\/(-3 - 3) + u. Sort -3, r, -15 in descending order.\nAnswer: r, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/7119 and 24\/7.\nAnswer: 7119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -21 + ((-3)\/(-2))\/((-21)\/56). Let h = 8 - -19. Let n = k + h. Solve n*w + 15 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - -65) + 10 + 0 + 1 + 50?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 41 + 84. Suppose -2*z = 2*w - 6*z + 10, 3*z = -2*w + g. Solve -a - w*t = -3*a + 23, -a - 5*t = 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25748 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2271 - 351. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1242 - 2?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 731?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let c(a) be the second derivative of a**3\/6 + 7*a**2\/2 + 3*a. Let s be c(-6). Give u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Evaluate -22 - (6 + -38) - ((-1 - -1) + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y = 68 + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by -5\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xup. Give prob of sequence xp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 5*p + 66. Suppose p - 11 = r. Let c = -3 + 9. Calculate the smallest common multiple of c and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/6*(-6)\/(-9). Is ((-794)\/4)\/(g*4\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*m**5 + 55 + m**3 - 55)*(1 - 4 + 5)*(-6 - 12 + 9).\nAnswer: 720*m**5 - 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7265*c**5 - 2*c**3 - 12*c**2 - 9*c - 43?\nAnswer: 435900*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85297 - -3326272\/39. Let r = p + 108\/13. What is the second smallest value in 10, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4 = -4. Is l - (-1765)\/(-10)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 27\/12 - 2. Let q = -3 + 3.08. Let f = q - 0.38. What is the closest to i in f, 2, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (4 - 2) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169451, -339009, -508567, -678125?\nAnswer: -847683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 10*v - 133. Let p(t) = -t**3 + 21*t**2 - 38*t + 2. Let u be p(v). Solve -3*l = -12, u*n - 2*l = -0*n - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 9:21 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(45\/20) - 8*-1. Let l(d) be the first derivative of d**4\/4 - 5*d**3\/3 + d**2 + 3*d + 1. Calculate l(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 720\/1440*(-6)\/(-23)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + z - 29 = 0, f + 2*z - 10 = -3*z. What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56889 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000681875532 to five dps.\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93397475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from xeeeexsxgeesi?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n - 36. Give w(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)\/y**(4\/5)*y\/y**(2\/7)*y*(y\/y**(-1\/3))\/y*((((y*y**(-2\/9))\/y*y)\/y)\/(y**7\/y))\/(y**(1\/3))**(-3\/2) assuming y is positive.\nAnswer: y**(-3449\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203\/7 - 22 - (-1)\/(2\/49134)?\nAnswer: 2, 11, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1155 + 17150545.1.\nAnswer: 17149390.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + g**4 - 3*g**4 - 3*g**4 + 6*g**4 - g**4 + (-2 + 2*g**3 + 2)*(6*g - 3*g - 5*g).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -14*u + 17. Let a be h(5). Let w = a + 65. Is (-2654)\/(-8) - (9\/w - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145068 and 894768?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30306.5109 rounded to the nearest 10?\nAnswer: -30310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) 2276 (c) -0.2 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 690813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/27)\/((-4)\/66). Suppose -8*p = -1 + 17. Let u = p - f. Which is the third biggest value? (a) 17 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 996 = -7*l. Let u = l + -81. Suppose -12 - 20 = -4*y - 4*a, u*y = -5*a + 25. Solve 0 = 2*n + y + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 713 - 711. Suppose -3*n - 5 - 7 = 0. Let h be (6\/4)\/((-2)\/n). Solve h*x + 14 = t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197 + -299. Let g = o - -122. Is g at least as big as 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*b + 6 = 0, -2*b - 2 = -5*q + 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49*a**2 - 29*a**2 + 310*a**2)*(-2*a + a - a)*(-2 + 0 + 3) in the form j*a**2 + d*a + h + l*a**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522.071 millilitres in litres?\nAnswer: 3.522071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + 40. Let i = w - 50. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q - 4 = 0. Let o(p) = -p**2 - 25*p - 46. Let i be o(-23). Suppose i*v - q*v + 240 = 0. Calculate the greatest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 2, v: 7}. What is prob of sequence qc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1250*j + 2. Let f(r) be the third derivative of -r**5\/30 + 193*r**2 - 2. Give t(f(k)).\nAnswer: 2500*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2537 and 50?\nAnswer: 2487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 237 and 26138651?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/350 and -56\/25.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8130\/(-45) - (-6)\/9. Let f be 27\/(-4) + 2 - (-45)\/w. Sort f, -1\/36, 1\/5, 1 in ascending order.\nAnswer: f, -1\/36, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 205 - 105. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = -20*o + 124 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4130050 to the nearest integer?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-20))\/2)\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 641, 631, 607, 563, 493, 391, 251?\n\"Answer: -k**3 - k**2 + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/(-117))\/((1\/2)\/(3\/(-45)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.97 - 33525228\nAnswer: -33525228.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52213*q**3 - 1121*q**2 + 5 wrt q.\nAnswer: 313278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 59 + 15 - 7*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21100011202 (base 3) to base 14\nAnswer: 3a914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 356 = -t, -2*t + 8*c = 5*c - 712. List the prime factors of t.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.6111 take away 4?\nAnswer: -123.6111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/340 + 6\/(48\/46)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(242))*3)**2 + -4*-1*sqrt(128) + 6*(-3 + 1 + sqrt(2))**2*-1*-1.\nAnswer: -190*sqrt(2) + 2223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 177*d - 180*d + 1470. Let h = -154 + d. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 - 84 = 0. Let l = f - 8. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - -10011110110101111?\nAnswer: 10011110111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/4 - 34235*n**2\/4 - 34237*n\/2 = 0. What is n?\nAnswer: -2, 0, 34237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4))\/sqrt(5) + (-1 + sqrt(243))**2.\nAnswer: -17*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.968 + -72499.0777\nAnswer: -72498.1097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 440140 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.5 + -13. Let g = 1.69 + -1.89. Which is the second biggest value? (a) y (b) -5 (c) 1.5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3410 - 5?\nAnswer: -3415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42242 or 42245?\nAnswer: 42245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v - 2*f + 18, 2*f - 6 = 0. Solve d = 4*d - v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10*x + 60 = 9*x, 2*p - 3*x = 11. Solve -10 = -4*w + 5*n, w + 0*n - p = -4*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -5*q + 7*v - 0, 10 = 5*q + v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51010 is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035754?\nAnswer: 2, 517877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*q = -4*f - 23, 4*f = 5*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2873 by 1.\nAnswer: -2873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(1 - (2 + -1)). Let q = x - -3. Let v(r) = 8*r + 0*r - 4*r - 5*r + 1. Let h(p) = -5*p + 5. Determine q*v(i) - h(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 22. Calculate the remainder when 66 is divided by 46\/3*(-21)\/s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827 a factor of 340267306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = -0*w. Let x be (1 + 0)*2 + 8. Suppose 0 = 3*a - 43 + x. Calculate the least common multiple of a and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*284.62\nAnswer: 853.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -306000*m**3 - 3*m**2 - 9*m + 30. Let j be s(2). What is j rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, 2\/11, 44\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 331 - 369 = 0. Solve -k + 9 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from vievviizivmyeiiyyy.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9366, 35066, 77900, 137868, 214970?\nAnswer: 309206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 13 + 2)*(0 - 1 + 0) - 3 + 4 + 0)*(0*w**3 + w - w**3 + 2*w**3) as p*w + j*w**3 + y + k*w**2 and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rarraaararaaaaaarra. What is prob of sequence rr?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 + -5.6. Let j = i - -7.3. Let g be 2\/10*(-5)\/(-2). Is j at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Let r(k) be the third derivative of k**6\/120 + 7*k**5\/30 + 13*k**4\/24 + k**3\/3 + 48*k**2. Let m be r(-13). Are q and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4760583?\nAnswer: 3, 19, 47, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f + 13*f**2 - 5*f - 16*f**3 - 19*f**2 + 2 - 6*f as n + x*f**2 + r*f**3 + w*f and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32219528569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 24. Let a be z(12). Solve -2 = -2*w + w + l, a = -w + 2*l + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006058277 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 7*l = 200, 0 = 3*i - 5*l - 571859. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1428*v + 53. Let r be b(-2). Differentiate r*y - 2909*y - 15 - 136*y**2 wrt y.\nAnswer: -272*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122878 (base 9) to base 16\nAnswer: -1226c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -700564 (base 8) to base 10.\nAnswer: -229748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62146303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157.1 + 157. Sort 4, p, 3, -0.4 in decreasing order.\nAnswer: 4, 3, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2545*z - 173138. Determine d(-68).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -0.14?\nAnswer: 3.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 277*q = -272*q - 33, j + 12 = q for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3)\/h*h)\/h**(-2\/7)*(h*h**3*h)\/(h\/(h**(-6)*h*h)))\/((h*h**(-2\/7)*((h*h**(-4\/3))\/h)\/h)\/((h**6*h)\/h**5)) assuming h is positive.\nAnswer: h**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from wsohooossso.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < 39664\/13325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 + 1 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cawckhawhchhcchca. What is prob of sequence wwaa?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 722024 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.2. Let f = 11.3 - 11. Let h = f + o. What is the nearest to -2\/7 in -0.2, h, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112537089 to the power of 1\/2, to the nearest integer?\nAnswer: 10608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 174\/(-580) + 24\/(-320)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 11*s - 13*s - 472 = 0, 367 = 3*q + 5*s. What is the remainder when 165 is divided by q?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4176.11743 + -28.088.\nAnswer: 4148.02943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -683 + 1183. Round k to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 794 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p + 35. Let s be w(-4). Let m(v) be the first derivative of -3\/4*v**4 - 6*v - 3 + 0*v**s + 0*v**2. What is the first derivative of m(i) wrt i?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 568*n = 576*n + 21, 0 = -18*u + 3*n - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236 + -225. Solve 5*j - w*j = -6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 42*d - 9*d)*(-5*d**2 + 5*d**2 - 3*d**2).\nAnswer: 141*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 1. Let m(f) = 166*f - 56. Let c(o) = m(o) - 3*v(o). What is the first derivative of c(k) wrt k?\nAnswer: 157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0 + 9 = 0. Calculate the lowest common multiple of 7 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 224*r**3 - 12*r**2 + 437952*r wrt r?\nAnswer: 1344*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 1150280.\nAnswer: 3\/287570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/30 + (-3 - 7395\/(-2475)). Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 13 = 3. Suppose -g*q = -9 - 5. Which is bigger: q or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17715, 17784, 17897, 18054?\nAnswer: 18255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/128 and -161\/2112.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2, -2\/13.\nAnswer: -2, -2\/13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 7:18 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 133. Calculate l(-37).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 8:50 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q + 40. Let f be (5\/q)\/((-1)\/6). Suppose -2*i = -131 - f. List the prime factors of i.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 256 = 22. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 72*r + 934. Calculate a(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2467, -347, -3161, -5975, -8789, -11603?\n\"Answer: -2814*i + 5281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3820, 7652, 11486, 15322, 19160, 23000, 26842?\n\"Answer: b**2 + 3829*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/19 in 6, -8, -1\/9, -2935?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + l + l + (-l - 2*l + l)*(2 + 1 - 5) + 5*l - 4*l - 2*l - 644*l - 23991 + 23991 to the form v + o*l and give o.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1138, 1105, 1072, 1039?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.4 (c) 0.3 (d) -173 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78)*1 - sqrt(78))*-3 + -5*-2*sqrt(78))\/(6*sqrt(12)\/sqrt(2) + sqrt(6) + sqrt(66)\/(-1*sqrt(11))).\nAnswer: 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1813.9 + -1832.893. Let r = -0.007 + m. What is the second biggest value in -2\/7, r, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - p**2 - 3*p)*(-27*p - 34 + 34) + (4 - 2 - 1)*(-p**3 - p**3 + 3*p**3) - 51*p + 7*p**3 + 51*p.\nAnswer: 35*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) 4\/263 (c) -0.8 (d) 2\/317 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + 1*(2 + (sqrt(243) - 3*sqrt(243)))**2).\nAnswer: -2931 + 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/150 and ((-181)\/(-40) - 10)\/(264\/(-32)).\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from igtxv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-24*a + 13*a - 30*a)*(0*a + 2*a + 0*a)*(a**2 - 4*a**2 + 6*a**2).\nAnswer: -246*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 11, g: 1}. What is prob of picking 1 g, 2 l, and 1 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 36 = 28*w. What is the remainder when 538 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**5\/20 + 9*c**4\/8 + 25*c**3\/6 - 73*c**2 - 2*c. Is 17 a factor of v(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 + 2 - 4*l - 2*l + 5*l + 4*l as r*l**4 + f + n*l**3 + o*l**2 + x*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5040, -20141, -45308, -80541, -125840, -181205?\nAnswer: -246636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -4. Let u(l) = -l**3 + 4*l**2 + 3*l + 1. Let d be u(5). Let a be (d\/(-6))\/(1\/(-2)). Are a and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 divided by -49?\nAnswer: -1009\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 0, 0.1 in increasing order.\nAnswer: 0, 1\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -11587011.\nAnswer: 1\/11587011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 170066987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -48. Suppose -m*g + 46*g - 8 = 0. What is the units digit of g*(((-636)\/(-8))\/(-3) + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35454777 divided by -3?\nAnswer: 11818259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 66*t - 902. Give i(18).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*p - 78 = -91*p. Suppose 0 = -2*y + 4*y + 3*d + 1, y = -2*d - 2. What is the remainder when p is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 6*z - 4. Let n be u(6). Let y be 1 + (-3 + 3)\/3 - n. Suppose 2*l - 9 - 3 = 0. Solve 2*r = -y*m + 11, -3*m = -2*r - l*m + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let i = 50.076 + -50. Let m = 0.324 + i. Which is the nearest to 2\/5? (a) m (b) -5\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l**2 - 3*l - 4. Let o = 3 + 0. Let p be i(o). Suppose 5*m = -j - 7, -p*j + 28 = -3*j - 4*m. Solve -4*r + 2*r = j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 + 3*n - 6. Let x be h(7). Let t = -12 + 33. Find the common denominator of 49\/10 and (-7)\/t - x\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 22*i + 40*i - g + 6 = 0, -7*g + 28 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9208 - 0.6792. Sort -27, 3\/8, x.\nAnswer: -27, x, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100.2 - -91. Let c = r - -9. Let z = 0.8 - c. Is z < 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6999*l**3*s**3 + 2*l**2*s**3 - 42*l**2*s - l**2 - 4*s**2 wrt l?\nAnswer: 41994*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 9*o + 1. Suppose 0 = 4*y - 12, -5*w + 4*y = -5 - 13. What is the units digit of m(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*s + 316 - 775 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19\/3)\/(7\/21). What is the highest common divisor of t and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11444.03 weeks in microseconds?\nAnswer: 6921349344000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 63*z = 53*z - 30, 0 = 2*s - 3*z + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1\/4))\/((z\/(z*((z\/((z*z*z**(-10\/9)\/z*z)\/z)*z)\/z)\/z))\/z))\/(z\/z**(-14))**(-1\/70) assuming z is positive.\nAnswer: z**(775\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*w**3 + 95949 - 191901 + 95952.\nAnswer: -59*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 482 + -482.1. Which is greater: 262 or c?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1932 divided by 6\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134400 divided by -783600?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28\/13? (a) 0 (b) -3\/4 (c) -4 (d) 2\/5 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - 113?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3879.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*m - 2*m. Let y = 16.7 - 17.2. What is the closest to -1 in m, 3\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 + 21 = 0. Let v = t + 23. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:43 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 11:51 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 795215 divided by 445\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/26 and ((-9180)\/208)\/(-15) - 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1240?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 597 + -595. Is (6 - c - (-15119 - -1))\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -344, 2\/11, 103?\nAnswer: -344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 4*m - 3*q - 69, -5*m - 3*q = -93. Let x be (-8)\/(-3) - (-6)\/m. Let s be ((-1000)\/3)\/(x\/(-2430)). Round s to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4) + 4 - 17 - (10 + -22 + -12)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -35 (b) 8\/747 (c) -5 (d) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7)*-1) + (sqrt(132)\/sqrt(4) - sqrt(33))\/sqrt(11) - (-4 + sqrt(33)\/sqrt(396)).\nAnswer: -7*sqrt(3)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43378)\/(-69))\/82 + 24 - 7\/(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6529, 13051, 19573, 26095, 32617, 39139?\nAnswer: 45661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -3, 4, 5 in ascending order.\nAnswer: -3, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30231?\nAnswer: 3, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522889163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from noolnlllncc. Give prob of sequence olcn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*k**3 + 53*a*k**2*t + 2*a - 2*k**3*t + 107*k**2*t wrt a?\nAnswer: -k**3 + 53*k**2*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -1)*(5 + 0). Let w be (21\/(-15))\/(1\/p). Solve y + 4*m = 11 + w, -3*m + 15 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + f)*(0 + 0 - 2*f**2) + (3*f - f + f)*(f**2 + 0*f**2 - 3*f**2).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-28)\/(-12) - 0)\/(29 + (-27968)\/966)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n**3 + 28*n**3 + 17*n**3)*((0*n - n + 0*n)*(-3 + 3 - 3*n) - 2*n**2 - 5*n**2 + 10*n**2).\nAnswer: 336*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Suppose -3*j - c*j = -125. Calculate the remainder when j is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 20 + 7 - 19 + 3*a)*(-2*a**2 + 6*a**2 + a**2).\nAnswer: 15*a**3 - 295*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(6)\/(sqrt(2)*1))**2*-2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 2 - (-240)\/10. Suppose 3*h = 5*y - 26, 2*y + h - u = -3*h. Suppose -g = -2*b + 2*g + 15, b - 4*g - 10 = 0. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.0238 and 0.3.\nAnswer: 6.30714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33 + 9*s**4 - 13*s**4 - 11*s**4 + 2*s wrt s.\nAnswer: -60*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.5. Let v = 10.8 - 10. Let x = v - 1.3. What is the biggest value in w, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38.394 * -5\nAnswer: 191.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 55*j**2 + 63*j - 879. What is v(28)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/7, -0.04917, -5?\nAnswer: -0.04917","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.2414 - 0.0514. Let t = 2.1 - c. Round t to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 230 = -5*v. Suppose -2*k + 21 = -3*h, 2*h - v = -4*k + 20. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111100000000111010 (base 2) to base 10.\nAnswer: 507962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101784, -203564, -305344, -407124, -508904, -610684?\nAnswer: -712464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*a - 182*a + 625 = 4. Let g(z) = -z**2 + 25*z + 68. Give g(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5 + 68*n**4 + 1384*n**3 + 6290*n**2 - 29609*n + 21866 = 0. Calculate n.\nAnswer: -29, -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 1. Let v(d) = -d - 5. Let o be v(g). Find the common denominator of 1\/8 and (-4 - -3)*(o + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.372 plus -18.467?\nAnswer: -45.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 201111100121?\nAnswer: -201111100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566 not equal to 3566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + (sqrt(140)\/(-2*sqrt(4)*-1))\/(-3*-4*2*sqrt(7)))**2.\nAnswer: -sqrt(5)\/6 + 36869\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11283565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 32 = -2*p. Suppose 22*q + 6 = 21*q. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 13*c**2 - c - 5. Let g be q(-13). Let z = -11 + g. Is (-2 + (-7)\/z)*669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5)*j**2*j**(2\/3)\/(j*j**1))\/(j**(-4\/9)*j*j**(-2\/7))**10 assuming j is positive.\nAnswer: j**(-577\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*x - 4*c, 5*x - 3*x + 3*c = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*c - 33 = 0, 5*q - c - c - 96 = 0. Let a be (150\/(-45))\/(4\/q). What is the units digit of 1 + (-6)\/9*a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -215\/8 + 363\/16. Let q = -164566586550691043\/33611720 + 83233823510\/17. Let x = 2\/49429 - q. What is the common denominator of b and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 + 0*t**3 + t**3)*(-3 + 43*t - 42*t + 0).\nAnswer: -3*t**4 + 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/18 and 43\/147.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50313877*p**3 + 2*p**2 + 8515579*p wrt p.\nAnswer: 301883262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**4 + f**2 + f + 7*f**2 - 1 - 3*f**2 - 3*f**2 + f**3 as y*f**2 + j*f + r*f**4 + p*f**3 + g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 370011*q**2*x + 2*q*x - 13282*q + 112*x wrt q?\nAnswer: 740022*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - 66. Suppose -3*g = c*q - 7*g - 29, -2*q - 4*g - 14 = 0. Find the third derivative of -32*n**2 + 386*n**q + 5*n**2 - 385*n**3 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 3. Let f = 30 + -36. Let x be q(f). Solve 4*k + 29 = -3*a, 5*k + 3*a - x = -37 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8128.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = -10. Let i = v + 5. Let f = 6 - i. Calculate the greatest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27711 and 6499769?\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*j - 54 = j, 4*i - 118 = 5*j. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:45 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 104780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2. Let o(j) = -17*j**2. Let u(k) = 4*k**2. Let h(i) = -6*o(i) - 26*u(i). Determine d(h(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - t + 1. Let j(n) = -14*n**2 - 24*n + 8. Let b(o) = -6*o**2 - 12*o + 4. Let x(h) = -5*b(h) + 2*j(h). Let k(w) = 3*c(w) + x(w). Calculate k(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -364, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(3) - -3*sqrt(500).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -292 + 297. Which is the closest to -3? (a) -2\/15 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*231 - (-450)\/75. Let i be (-6486)\/y - (1 + (5 - 1)). What is the second biggest value in -4, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429730032?\nAnswer: 2, 3, 571, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/11 + -90\/187. What is the closest to 2\/41 in v, 2, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2 - 20\/(-12)). Suppose o = 5*o - n*j - 116, -98 = -3*o + 5*j. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.23 + 3.23. Let t = 339 - 377.7. Let o = t - l. Does -0.2 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -708, -579, -360, -45, 372, 897, 1536, 2295?\nAnswer: 3180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/33)\/7*-44\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*r, -79 = -34*x + 33*x - 3*r. Calculate the highest common factor of 1705 and x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*u + 8, 0*w + 5*u + 1 = 3*w. Find the third derivative of -13*l**w + 8*l**5 - 8*l**2 - 29*l**5 wrt l.\nAnswer: -1260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/w**(-29)*w)*w\/(w\/(w*w**(-2\/15))))\/((w\/(((w\/(w\/(w\/w**(-16)*w*w)))\/w)\/w*w))\/(w\/(w\/(w*w**22)*w))))**(-10\/11) assuming w is positive.\nAnswer: w**(-266\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33087438 divided by 11029146\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Suppose 2*d - 2 = 2. Suppose d*f + 3*h = -0*h - 14, 0 = 5*f - 3*h - 7. Sort 0, f, g in descending order.\nAnswer: g, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -427 + 430. Suppose i*a = -3*f + 2439, 0*a - 2455 = -3*a + f. Does 43 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829143*m**2 + 0*m + 0*m + 0*m + 829146*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-1*7\/14*304\/76)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26625628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.32 + -1.52.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + -27. Let y be (8*(-2)\/z)\/(4\/10). Which is the second biggest value? (a) y (b) -4\/11 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169311173.\nAnswer: 3, 311, 859, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-938)\/840 - 9\/12. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 7*g - 6. Let s be b(-8). Suppose -12 = -4*i + 28. Let u = -6 + i. Solve 2*v = u*f + v - 8, 2 = f + s*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 101047512.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m**2 + 4*m + 4. Let b(d) = d**2 - d - 1. Let u(i) = 2*i**2 + 45*i + 4. Let k be u(0). Calculate k*b(g) + o(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 + 0 = 0. Does 8 divide 9\/(-3) + 52 + z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61710 divided by -1870\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from nzkn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*a + 10, -497 = 3*s + 4*a. Let q = 95 + s. Let l = q - -134. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10630 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -8629.\nAnswer: -8626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 - c**2 - 5*c - 2. Determine f(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58636657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1 (c) -2\/25 (d) -0.03 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/4))**(-32))**49*((c*c**(2\/3))\/c)\/c*(c*c\/(c\/c**(-2\/9)))\/c*(c**(-2\/7))**(1\/39) assuming c is positive.\nAnswer: c**(-1605701\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppiiuzmiuzin. Give prob of sequence uu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -12004302, -4 in descending order.\nAnswer: -2\/3, -4, -12004302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 q, and 1 t when four letters picked without replacement from {y: 3, q: 10, d: 2, t: 1}.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.022 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -148, -487, -44, 3 in decreasing order.\nAnswer: 5, 3, -3, -44, -148, -487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 2*o**2 + 5*o**2)*(3*o - 3*o + o**3) + (o**3 - 2*o**3 + 2*o**3)*(-4*o**2 - 2*o**2 + 5*o**2) - 7*o - 4*o**5 + 7*o.\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 42, 37, 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {f: 1, s: 11, o: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14773? (a) 5 (b) -5 (c) 2 (d) -2\/23 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.84 - -0.16. Let c = v - 6. Let y be (-4)\/(-24)*27\/(-6). What is the second smallest value in y, -1, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (14 + -1)\/1. Suppose l = b + 7, -3*b = -2*l + 6*l - k. Is 11 a factor of (b\/(-4))\/(2\/56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(4) - (sqrt(4) - sqrt(4)*4)))**2 + (sqrt(700)*-3 - sqrt(700)).\nAnswer: -40*sqrt(7) + 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3725 + -0.1662. What is q rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 12 + 7*q**2 + 7*q + 2*q**3 - 5 + q. Let r be k(-6). Is -5 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4753994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/4 and 190\/175*(-25)\/(-20)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -955690*j**3*m - 4*j**2*m - 3143*j*m - 2*j - 19224*m wrt j.\nAnswer: -5734140*j*m - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1354144 (base 6) to base 3.\nAnswer: 10221011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6264690 and 28450?\nAnswer: 31323450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (222\/9)\/((-2)\/(-3)). Suppose -o + g = 2*d, 5*d - 2*o - 9 = 79. Let v be d\/4*4\/6. Is v less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3890 - -5980. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -333 - -337. Sort k, 0.042, -3.\nAnswer: -3, 0.042, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/1165 + 456\/5825. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 647 divide 47858444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 6 + 0 + 2 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - -1*sqrt(95) - sqrt(95) - sqrt(95) - sqrt(95))*-6)\/(sqrt(5) - (sqrt(5) + (sqrt(45) - -1*sqrt(45))\/sqrt(9)))*2 + 2)*-4.\nAnswer: -8 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 58*i - 73. Calculate the remainder when u(8) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s - 27030 + 26925 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -5*q - 990. Which is smaller: -75 or q?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -2.4, -1\/38, 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -6*r - 10. Suppose -2*z + 8 = 0, -6*o = -r*o - 4*z - 84. What is the remainder when o is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131697 - 28973283\/220. Calculate the common denominator of -123\/20 and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14807991 by -4935997.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - bbcabc7?\nAnswer: -bbcabc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a millennium in months?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-480)\/7200)\/(2\/(24\/6))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*p - 200 = -2252 - 1792 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 96*p. Let o be d(3). Let f be -63*(2\/6)\/(-5 - 46\/(-12)). What is the greatest common factor of o and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:55 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*q + 1872 - 837 = -2199 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 258 + 21. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14680 + -14678. Which is the closest to -1? (a) -0.5 (b) y (c) -417 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - w + 27, w = -5*u - 0*w + 155. Suppose 0*l = -3*l + 15. Let c(i) = 2*i + 6. Let n be c(l). What is the highest common divisor of u and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-40))\/((-3)\/12*1). Let x = -4 - -1. Which is the nearest to 0.1? (a) x (b) -1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-11)\/(-121) - (-2)\/66*-1245.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 6*b + 7. Let y be 35\/(-5) + (1 - 2). Calculate z(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 3*l**3 + 0*l**3)*(-2*l + 4 - 4)*(-2 + 1 - 1).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 28*s + 267 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45051 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 14*z**2 - 23*z + 36. Let u be o(15). Let p = -99 - u. Let c = p + 15. Solve c = 7*y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 16*q + 5. Let c be 76\/14 - (-3)\/(-7) - 2. What are the prime factors of g(c)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(68) + 3 + ((-1 + sqrt(612))*3)**2.\nAnswer: -106*sqrt(17) + 5516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(11\/(-66)). Let m = 6 + i. What is the second derivative of -4*g**2 - 5*g + 0*g - g**2 + m*g**2 wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -414*w**2 + 6654*w + 12. Let l be h(16). Solve 483*y - l*y + 36 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -356 times -0.8?\nAnswer: 284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 6, -1\/4, -44\/13, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66486.\nAnswer: 2, 3, 7, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5 + 23 = 0. Let h(o) = -3*o**2 + 7*o**2 + 2*o**2 - y*o**2. Let n(s) = -11*s**2. What is h(n(m))?\nAnswer: -121*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3*m - 17 = -4*k, 0 = -4*m - 20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 384*p - 691*p + 438*p + 2 in the form z + t*p and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 + 328\/(-48))\/(3\/36). Suppose -3*m = t*n - 15031 - 14998, 3*m + 5*n = 30041. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**3 + 4*r**3 - 5*r**3 - 4*r**3 - 3*r**2 + 2*r + 1 - 3 to the form t*r**3 + k*r + d*r**2 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4717000 rounded to the nearest one hundred thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-20) + (-126)\/10. Let o be -2 + -1 - (s + 10). Let n be -2*(1 + 6\/(-5)). What is the closest to o in 2\/13, -0.2, n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 4:12 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 - 378. Let u = a - -280.999614. What is u rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1596 and 672.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -220 + 220. Which is smaller: 258 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334332111 (base 5) to base 7.\nAnswer: 15403455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9*2\/54)\/(2\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*z**3 - 15*z**2 - 1 + 3 + 0 - 8*z**3 wrt z?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 1:29 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90110.\nAnswer: 2, 5, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0782 - -0.5782. What is the fourth biggest value in -1\/11, 2\/23, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**6\/6 + 7*i**5 - 38*i**4 + 52*i**3 - 1014. Factor b(a).\nAnswer: a**2*(a - 2)**2*(a + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {o: 1, c: 3, h: 1, z: 6, q: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 21\/4, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.4 (b) 9920 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*i**3*r + 115*g - 7*i**3 - 46079*i**2*r**4 + 19*i wrt r.\nAnswer: 2*g*i**3 - 184316*i**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12766191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 14*r + 61. Let k be j(17). Let f be 1\/((-2 - -1)\/(-30)). Suppose q + f = 4*q. What is the highest common divisor of k and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64\/5 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -9, 9, 43, 99, 183, 301, 459?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.3. Which is bigger: 7 or n?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -25*t + 1. Let m be j(-1). Suppose 16 + 0 = 4*r. Let y = 17 - r. What is the greatest common divisor of m and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -66385 - -114?\nAnswer: -66271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y + 32. Let p(c) = -c**3 - 16*c**2 + 11*c + 121. Let h(o) = p(o) - 4*x(o). What is h(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/748 and -47\/21720888?\nAnswer: 4061806056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - -8) + (-25 - -4 - -58)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - q**2 - 5*q - 5. Let c(z) = 5 + 6*z + 13*z**2 - 3*z**3 - 12*z**2 + 1. Calculate 5*c(s) + 6*x(s).\nAnswer: -3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -6 - 328392\/(-90)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77535425 divided by -3.\nAnswer: -77535425\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -62500 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (86\/129)\/((2\/(-6))\/(-1)). Solve -4*n + 4*r - 2*r = 10, -2*n - 20 = g*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -472 divided by -236.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(27\/(-6))*(-1)\/18\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*d + 323*d**2 + 173*d + 163*d - 377*d.\nAnswer: 323*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -23*t - 60. What is the tens digit of (-10)\/(-8) + t*(-12565)\/84?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 10:16 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158268.\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.87 - -0.97. Let u = -6.9 + 2.9. Let s = u - a. Sort s, 0, 0.5 in decreasing order.\nAnswer: 0.5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.64005t to grams.\nAnswer: 73640050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3322201022 (base 4) to base 15\nAnswer: 154082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 + 159. Let d = -111 + x. Suppose 4 = 2*p + 14, d = 4*z + 4*p. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o**2. Let h(q) = 7819 + 6*q**2 - 7819. Give j(h(f)).\nAnswer: 432*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**4 + 5*v**3 + 5*v**2 - 5*v + 21. Let p(c) = -3*c**4 + 6*c**3 + 6*c**2 - 6*c + 21. Let g(n) = -5*p(n) + 6*x(n). Differentiate g(k) wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.073 and -0.1089884088.\nAnswer: -0.0359884088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 4*u - 780. Suppose -2*j + 204 = 5*m, 3*m - j = m + u. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-15) - (-17)\/(-3). Let u = 11 + s. Factor 5*b**4 + 9*b**3 + 13*b + 4*b**u + b**2 + 6*b**4 - 14*b.\nAnswer: b*(b + 1)**3*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 0.3 (b) -3\/2 (c) 4 (d) -0.3 (e) 0.0589\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5152 and 552.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 9*n + 26. Sort 5, n, 4.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 338 and 41678.\nAnswer: 541814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 15761690*n + 94570145. What is x(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2992901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-21)\/(-378)*-12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/72 and -25\/12171?\nAnswer: 292104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 11:38 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/12*(48\/20 + -3). What is the smallest value in 1, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/27 - (0 + 35\/(-9)). Suppose -c - 4*b + 209 = 0, 0 = 3*c - h*b - 358 - 237. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -12, 5, 1 in descending order.\nAnswer: 5, 1, -12, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.04 + 17. Let y = v - -0.04. Let n be (-8)\/84*(-45)\/10. Which is the second biggest value? (a) 1 (b) y (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144304 + -343011?\nAnswer: -1042320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 176*d**2 - 198*d - 588. Let o be l(-3). What is the highest common divisor of o and 1113?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0, -3\/2, -32884?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 46 = -2*u, 18*u - 14*u = -2*y. Suppose -5*v = -2*n - 3, 0 = 5*n + 2*v + 55 - 4. Put u, -5, n, -3 in decreasing order.\nAnswer: u, -3, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2 - (-2463 - (-10)\/2). Is j\/4*4 + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2973093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (14 - (10 - 4)) + (5 - 0)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156869105 to the power of 1\/3, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -r + 12, 0 = 5*o - 2*r - 2 - 19. Solve 136*d - 140*d - 12 = 3*f, -4*f - o*d - 9 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 709*c + 101715. Calculate d(-141).\nAnswer: 1746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.56 times 200?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 14 + 49 = 0. Suppose u*x + 1251 = 8*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 10 = y, -1970 = 3*u + 5*y - 2010 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 9*n + 21*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 316.6 + -316.5999974458. What is l rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 11. Suppose o*s + s = 208. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (324\/(-126))\/(2 + 129\/(-63)). What is the greatest common divisor of t and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*d - 20, -5*d - 1 = 2*l - 21. Let y = 1 + l. Let a(c) = 3 + 11*c - 5 + 1. What is a(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6531494753?\nAnswer: 7, 29, 1033, 31147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -14*m + 31*m. Let l(p) be the third derivative of 0 + 0*p + 1\/2*p**4 + 1\/80*p**m + 7\/40*p**5 - 4*p**3 + 9*p**2. Suppose l(q) = 0. What is q?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35033 + 0?\nAnswer: -35033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*s + 5*i, -2*s + 6 = 3*i - 25. What is s rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 6, -9667 = -7*k + 5*k - 5*c. Let d = k - 3314. What are the prime factors of d?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 3.2 (c) 2 (d) -2 (e) -95 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*5 - (-2 + 10\/5). Suppose 0 = 5*v + r - 55. Calculate the highest common divisor of 9 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 1, a: 4}. Give prob of sequence nn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514, -3621, -9320, -17611, -28494, -41969, -58036?\nAnswer: -76695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858825716.\nAnswer: 2, 7, 30672347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -2431052?\nAnswer: -2431053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 46*q**5\/7 + 278*q**4\/7 + 564*q**3\/7 + 56*q**2 + 16*q\/7 = 0. What is q?\nAnswer: -2, -1\/23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99158?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in 0.1, -0.05, 0.02?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761057800 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + k**5 + 1 + 535*k**5 - 333*k**5 + 378*k**5 - k**5 + 2*k**3 - 2*k**3 + (0*k**2 - 3*k**2 + k**2)*(-2*k**3 + 5*k**3 - k**3).\nAnswer: 576*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 994708 - 621015. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*n + 1645 = 272*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 4*z**4 - 2*z**3 - 4*z**2 + 0*z**3 + (2*z**3 - z**3 - 2*z**3)*(z - 4*z + 0*z).\nAnswer: 5*z**4 - 2*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*a - 130, 2*a + 4*w - 40 = -w. Suppose -2*l = -2*b - 0*l + a, 3*b - 48 = 4*l. Solve -4*q - b = -2*q - 4*j, -2*j = q - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1515, -3275, -4869, -6297, -7559, -8655?\n\"Answer: 83*p**2 - 2009*p + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17339551417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 2798165.\nAnswer: -1\/2798165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100012 by -2.\nAnswer: 50006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 31*j**3 + 11606*j**2 + 38991*j + 13356 = 0. What is j?\nAnswer: -371, -3, -12\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/(m\/(m**(-6)*m*m)*m)*((m**(-5)\/m)\/m)\/m**(-3\/5))**(4\/7) assuming m is positive.\nAnswer: m**(-68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/5)*f**(-3\/7)\/f assuming f is positive.\nAnswer: f**(-29\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 493394827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:27 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.909 + -39.699. Let g = s + 5.79. Which is the third smallest value? (a) 5 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 6*s = -30. Sort 2\/9, 1, s.\nAnswer: 2\/9, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/626 - -943\/2504. Sort -1\/4, z, 4.\nAnswer: -1\/4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 8214203.\nAnswer: -90356233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 - -2. Let q = 0.4 + -0.1. Let p = -13 - -15. Put -4, m, q, p in descending order.\nAnswer: p, q, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let c = -0.6 + 5.4. Let s = 5 - c. Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -14163, 0.4, 47?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s = 0. Suppose -3*j + j - 3*i + 16 = s, j - 14 = -3*i. Suppose 0*x = -x + j. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72131766 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - -4) + (-2 - (-2 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o**3 - 16050*o**2*u + o**2 - 115629*o*u - 15*o wrt o.\nAnswer: 24*o - 32100*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 24 - 234. Let d be -8*3*(-5)\/a + -73. Is -70 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -0.2, -0.01, 1, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11184810 rounded to the nearest one hundred thousand?\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 5*w**2 + 3*w**3 + 4*w**2 - 7*w**2.\nAnswer: 3*w**2*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 4*f**2 - 54*f + 52. Calculate r(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:39 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52641 + 52597.637. Let q = 0.137 - g. Let v = q + -53. Round v to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5240, -3656, -2072, -488, 1096, 2680?\n\"Answer: 1584*a - 6824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 + 0.29. Let q = y + -0.11. Let r(o) = -o**3 + 7*o**2 - 6*o - 4. Let m be r(6). Which is the third biggest value? (a) q (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 6*a - 5. Calculate v(-5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -47, -44, -41, -38, -35, -32?\n\"Answer: 3*q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**3 - 933*a**2 + 4166*a + 3615. Give w(182).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v**3 + v**2 - v - 5. Let i be a(-3). Suppose 249*y = i*y - 31. Find the third derivative of 39*m + 15*m**2 - 39*m + 22*m**2 + y*m**3 wrt m.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - y + 145 = -2*y, -2*a = y - 105. Suppose 2*q + 0*q - 10 = 0. Let g be (-12)\/a*q\/(-3). Is -3.7 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(-4)\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-3*2\/6). Solve -1 = -b*f - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 0.8, 5\/3, 0.07?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 5, z: 4, o: 7, i: 1, n: 1}. What is prob of sequence zc?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 69, 130, 197, 264, 325, 374?\n\"Answer: -k**3 + 12*k**2 + 20*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*q + 29, 2*k + 0*q + 2*q - 12 = 0. Suppose 6*x + 4 = 4*l + k*x, l - 2*x = -6. Let r(o) = 40*o**2 + o + 1. Does 22 divide r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 + b. What is h(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l**4\/3 - 3525*l**3 + 371245*l**2\/3 - 465330*l + 325960\/3 = 0 for l.\nAnswer: -562, 1\/4, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 + 80 - 73*x)*(2*x + 0*x - x + (x - 2*x + 3*x)*(0 + 6 - 4) - 40 + 40 - 10*x).\nAnswer: 365*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7beb - 6?\nAnswer: 7be5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 4*b**4 + 5 - 5 + (-30*b - 92*b + 22*b)*(-b**3 - 4*b**3 + 3*b**3) to the form z*b**3 + q*b**4 + r*b**2 + p + u*b and give q.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 136.\nAnswer: -13\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19508d (base 14) to base 15\nAnswer: -12ad78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 2, e: 7, t: 2}. Give prob of picking 1 e and 1 y.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 414 + 81. Let i(q) = q**2 + 8*q + 17. Let g be i(-4). Let u be (g\/3)\/(1\/p). What is the highest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/7 (c) 2\/9 (d) -1 (e) -4096 (f) -82.85\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224846 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.28 + 0.12. Which is the second smallest value? (a) 0.1 (b) x (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) 2 (c) -20 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-12))\/(2\/6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 18*v - 16. What is the least common multiple of 68 and o(7)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5721907?\nAnswer: 19, 301153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrtrycytetyyrylt. Give prob of picking 1 c and 1 l.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 28 = -2*o, 31*j - 3*o + 16 = 30*j. Solve 0 = 3*x + j*u - 22, -37*x + 2*u + 6 = -33*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -220 + 609. Suppose -q - o = -3*r + 3*q, -3*q - 393 = -3*r. Suppose -4*w + 47 + 61 = 0. What is the greatest common factor of r and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 37, -1281, -1, 4.\nAnswer: -1281, -1, 1, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 3 (c) 6.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19297 + -7614. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/3, -1, 774, 0.2 in descending order.\nAnswer: 774, 0.2, -0.5, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -19. Solve m = 2*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) + 30\/4. Let r be (-2)\/s + 1\/4. Let u = 4 - r. Put 3, -3, u in increasing order.\nAnswer: -3, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348318379?\nAnswer: 348318379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 22. What are the prime factors of l(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000069841 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -70. Let i = -24 + h. What is the greatest common factor of i and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 0.3, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 49*q = -22*q - 494 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1873, -3531, -5179, -6811, -8421, -10003, -11551, -13059?\nAnswer: -14521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*v + 98*v - 21*v**2.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 7)*2\/4. What is the second derivative of -t*v - 3*v**2 + 0*v**2 - 2*v wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-49)*(-117180)\/(-2160).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from jjivivivvvvijj?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (1 - (-6 - -3) - (-109 - -116))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 4*w + 1. Let l be t(-3). Let s(h) = h**2 - 3*h + 4. Let j be s(4). Solve i = l*u + 10 + j, -4*i = u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1 + 4*a**2 - 3*a**3 + 2 + 4*a**3 + 0*a + 4*a. Let z be f(-3). Let y = 1 + z. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + f**2 + 3*f - 3. Suppose -6*d + 14 = -4. Suppose -d*x - 19 = -2*q, -5*q + 3*x = -x - 30. Give h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3))**(3\/35)\/(s**(-3))**(-18))**(2\/17) assuming s is positive.\nAnswer: s**(-3776\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 - 485*m**2 - 6010*m - 16600 = 0. What is m?\nAnswer: -83, -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-47850)\/47982 - 1*-1. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = -2*u, 0 = 3*u - 5*f - 12 + 1. Suppose 0 = -25*m + 89 - 14. Find the second derivative of 4*l**m - u*l - 27*l**3 - l wrt l.\nAnswer: -138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14599710)\/(-1380) + (-1)\/2*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 80. Let y be 3\/5 + x\/(-245). Factor 8\/7*r - y - 6\/7*r**2.\nAnswer: -2*(r - 1)*(3*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w\/((w**(-1)\/w)\/w)*w)))**2)**(-26) assuming w is positive.\nAnswer: w**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in 0.2, 0.71919, -4\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x + 7. What is the remainder when 61 is divided by q(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -433 + 3435?\nAnswer: 3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + j - j)*(-5 + 3 + 1)*(-63*j - 34*j + 6*j)*(-2 + 6 - 2).\nAnswer: 728*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 g when four letters picked without replacement from cbbibbbgoobbbbbibcbb?\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h. Let n(a) = 9*a. Let d(t) = 7*m(t) - 6*n(t). Let k(r) = 1 - 1 + 4*r**2 - r**2. What is d(k(g))?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 442535186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 27 - 3*w - w**2 + 4*w. Let o be s(0). Let a = -5 - o. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 154416.4 litres?\nAnswer: 154416400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -166, 4\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dllddddlld. Give prob of picking 1 l and 2 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -24, -21, -18, -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64106?\nAnswer: 2, 7, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 7*f - 18. Let p(z) = z**3 - 4*z**2. Let d be p(3). Let n be y(d). Suppose 3*h + n*j = j + 56, -60 = -4*h + 5*j. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 2\/9, -0.2, 0.064?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*a**4 - 11525*a**3 - 696*a**2 - 2*a**6 + 11525*a**3 wrt a.\nAnswer: -240*a**3 + 696*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -2, -44 in decreasing order.\nAnswer: -1, -2, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-114)\/(-15) + 1 - 4\/(-10). Suppose 2*s - 13 = -o, 5*o - 7 - p = -3*s. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 31. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588866?\nAnswer: 2, 79, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2813?\nAnswer: 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 279*b**5*t**3 - 5*b*t**3 + 13*b*t wrt b?\nAnswer: 5580*b**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21120104 (base 6) in base 4?\nAnswer: -2112213220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 2. Let n be d(2). Suppose -4*z - 4*h + h = 29, 3*z - 5*h = 0. Let w = z + 13. Calculate the greatest common factor of w and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.51 and -113.9425.\nAnswer: -111.4325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/4 + 478*k**3 + 342726*k**2 + 109215352*k + 13051234564 = 0. Calculate k.\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 570 = -246. Let y(h) = -h**3 - 5*h**2 + 6*h - 8. Find the common denominator of (-12)\/30 + n\/(-35) and y(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28.74? (a) -0.5 (b) -3 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 - 85\/(-21) - 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3230, -3015, -2510, -1595, -150, 1945?\n\"Answer: 20*s**3 + 25*s**2 - 3275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.59 - 47.11. Let j = -58.699486 - z. What is j rounded to 5 dps?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1935\/(-2150))\/((1\/(-5))\/((-9)\/27))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 27 = 5*z, z + 2 + 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let q(l) = l + 1. Let v(h) = 8*h + 5. Suppose 50 - 70 = -2*o. Let f(y) = o*q(y) - 2*v(y). Give w(f(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(12)\/sqrt(2)))\/sqrt(8).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000368733 rounded to five decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 581, 1439, 2849, 4931?\nAnswer: 7805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27.5? (a) 1 (b) 5 (c) -2\/2849\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19956988.798 plus -0.062?\nAnswer: -19956988.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6029\/6 or 1?\nAnswer: -6029\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.704*-3707.\nAnswer: -6316.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12360 (base 13) to base 12\nAnswer: 174b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 1\/(1\/(-3)). Let n = 73 + -28. Let j be -4 + 5\/(n\/84). Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 2*u. Let v be t(2). Suppose -3*r + v*w + 120 = 0, -4*w - 10 = -r + 30. What is the highest common divisor of r and 640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v - 91. Give h(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4121 - 1421300?\nAnswer: -1412124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n - 8 = 0. Let p be (1 + -2)\/(1 + 0) + 4. Solve 11 - n = -p*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2198336 and 333676.\nAnswer: 37371712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110011011110010111 (base 2) to base 8.\nAnswer: -1633627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 22. Suppose 0 = 2*h - 4. Suppose -b - 3*i = -19, 2*b + i - h = 4*i. What is the remainder when b is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -2091170809?\nAnswer: 2091170813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4877586 and 4877586.\nAnswer: 4877586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -81*y + 86*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17700.116 and -90994.\nAnswer: -73293.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - 20055 - 20061 - 584*i - i**4 + 40115 + (-i + i - 2*i)*(3*i**3 - 2*i**3 - 3*i**3).\nAnswer: 3*i**4 + i**3 - 584*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -37166305\nAnswer: 4\/37166305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - q = 6, 5*q + 2 = 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*c + 5*h, 2*c = c - 3*h + 9. Let y be 560000*((-4320)\/21)\/c. What is y rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*d + 23. Find the common denominator of -3 - (-4)\/((-64)\/14) and (-1)\/3*(-102)\/d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11\/18 (b) 0.8 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + ((sqrt(1900) + 1)*-4 - (0 + sqrt(1900) + -1 + sqrt(1900))))**2.\nAnswer: 240*sqrt(19) + 68408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 20. Let q be l(5). Let j be 9\/(-27) - 8\/q. What is the nearest to -4 in -0.4, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1. Let n be h(-7). Suppose 0 = 2*r - 5*r + n. Suppose 16 = k + 2. Solve i + 4 = -4*m - i, -r*m = 5*i - k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 times 1126?\nAnswer: 94584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:41 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/(-8))\/((-3)\/(-6)))\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyj when three letters picked without replacement from yyjyyyyyjjjyyyjyyyy?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 + -46. What is the remainder when 189 is divided by j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.11 and -167164 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-2 + (-66)\/6). What is the common denominator of 45\/101 and -1089*(-10)\/1040 - (-2)\/b?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Let v(d) = 21*d**2 - 290*d - 56. Let y be v(14). Solve -f = -y - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lslsssssslsssssssls. Give prob of picking 3 l and 1 s.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 379*p + 4. Let o(j) = 1140*j + 10. Determine -8*a(x) + 3*o(x).\nAnswer: 388*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 - -2325\/22. Calculate the common denominator of q and 113\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3\/2 - 1251*n**2 - 2520*n + 10032 = 0 for n.\nAnswer: -4, 2, 836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -386121776 to the nearest ten thousand.\nAnswer: -386120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 9:17 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 335040 and 279200?\nAnswer: 1675200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6074514, -24297217, -54668396, -97188057, -151856206, -218672849, -297637992, -388751641?\nAnswer: -492013802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6573475 is divided by 10484.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvlcctvtnlccl. Give prob of sequence vvt.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -49*j + 76. What is f(0)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 3 + 5*h - 8 - 5*h. What is u(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 598858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 58\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okokx. What is prob of picking 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*i + 4*i**3 - 265 + 6*i**2 + i**2 + 67*i + 266 as n + h*i**3 + s*i**2 + l*i and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4 + (0 - 7\/(-2))). Let c(l) be the first derivative of 8 - 10*l + 1\/2*l**n. What is c(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 + 211032311200?\nAnswer: 211032311002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3381 by -321.\nAnswer: -1127\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207 - -200. What are the prime factors of l?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 8*a + 9. Let i be 5*(7 - (-116)\/(-20)). Calculate c(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1936243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1120784 (base 9) to base 3\nAnswer: -1010200212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -542 (base 8) in base 5?\nAnswer: -2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(12)\/sqrt(3))*5 - (sqrt(475) + 1 + (sqrt(19) + 0 + sqrt(19))**2*-6 + sqrt(19)).\nAnswer: -sqrt(19) + 455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20827.2 + 20827. Sort 1\/4, y, 2\/57, 17\/2 in increasing order.\nAnswer: y, 2\/57, 1\/4, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -97\/23299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2090)\/(-385)*112\/(-32)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 3*o**2 + 6*o + 1. Let l be c(-4). Suppose -l = -4*k + 127. Suppose 3*w - w - k = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + n + 1. Let z(v) = 6*v**2 + 3*v + 3. Suppose 0 = 13*o + 16 + 8629. Let q be ((-8)\/(-14))\/(-1)*o\/(-190). Determine q*z(s) + 7*f(s).\nAnswer: 2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15344508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 10*a + 12. Let r be b(8). Let k = r + -39. What is the remainder when 2\/16 - (-76725)\/1240 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtt when three letters picked without replacement from {m: 1, o: 1, t: 4, q: 9}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 42 - 9*b + 20*b - 27 - 25*b**2 + 22*b**2 + 31. Determine x(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.9. Let b = -0.34 - o. Let y = 0.16 - b. Sort -2\/7, 3, y in descending order.\nAnswer: 3, y, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -201929*o + 1211611. What is t(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/77 - (-362)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s = -372. Suppose -5*u + 4*v = -788, 2*u + 5*v - 330 - 5 = 0. Let p = u + s. What is the lowest common multiple of 6 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 907519272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -3\/2*l + 3\/8*l**2 + 4 + 1\/4*l**3. Factor z(i).\nAnswer: 3*(i - 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134 and 670?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*n - 3*r + 12 = -197*n, 16 = -n + 4*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**2 + 7*v - 6. Let w(q) = -q**3 + 17*q**2 + q - 11. Let o = -25 - -42. Let b be w(o). Let d(n) = -8*n**2 + 6*n - 5. Determine b*m(l) - 7*d(l).\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 + (1 - (2 + 2) - (-1113 + 1111)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by 2963\nAnswer: 160\/2963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*c + 215 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/p**(7\/4)))**(2\/3)*((p*p**(-6))\/p)**20)**(1\/2) assuming p is positive.\nAnswer: p**(-239\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 5:02 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**3\/3 - 44*s**2 + 89. Find d, given that v(d) = 0.\nAnswer: -88, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.3. Let n(m) = 41*m**2 + 453*m + 24. Let h be n(-11). Let y = 0.1 + 0.1. Which is the nearest to z? (a) -4 (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 16*i**3 - 17*i**2 - i - 16. Let b(q) = -q**3 + 8*q**2 - 12*q - 7. Let l be b(6). Let j be o(l). What is j rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.5041 and -5?\nAnswer: 6.5041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35 * 1.4199\nAnswer: -49.6965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302343123 (base 5) in base 7?\nAnswer: 35634502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**5 - 891*v**4 + 88074*v**3 - 2941530*v**2 + 4268979*v + 41731605 = 0.\nAnswer: -3, 5, 81, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*k - n, k + k - 8 = -4*n. Let g = 167 + -171. Put -1, g, -5, k in descending order.\nAnswer: -1, k, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-28)*(t\/(t\/t**(3\/2)))\/t assuming t is positive.\nAnswer: t**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 1594, 5404, 12828, 25072, 43342, 68844?\nAnswer: 102784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/40)\/((295\/(-60) - -5)*3). Solve 0 = -0*b - b - 3, -i*w + 18 = -3*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*387.\nAnswer: -38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*j - 53, 6*j = 2*j - 3*m - 54. Let n be 20\/j - (-1)\/3. Let h = 9 - 14. What is the closest to n in 2, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 114346 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54600)\/(-63700) + 265\/(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 0.03775791.\nAnswer: 3.03775791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -11280, 3, 0.4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/75)\/(-2)*(-720)\/792.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -11. Let k be (-2)\/i - (-162)\/42. Suppose -k*v + 2*t + 598 = 0, -4*v - 3*t + 408 = -185. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (732\/(-122))\/(6\/(-5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75666303 or -75666304?\nAnswer: -75666304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-11165)\/6380)\/((-49)\/(-287))\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -26. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -78.6. Let q = -22 + x. Let o = 868\/11 - 1725\/22. Which is the second biggest value? (a) 0.1 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7573644 by 7573644.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u + 8*u - 435*u - 2*u**2 - 392*u + 4*u**2.\nAnswer: 2*u**2 - 771*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (sqrt(190) + (-4*sqrt(190) + sqrt(190))*5 + sqrt(190) + sqrt(190) - sqrt(190))\/(sqrt(80)\/(sqrt(8)*-5)).\nAnswer: 7 + 65*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-7))\/((-45)\/63). Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*q - 364*q - 246620 = -1943*q - 1016*q for q.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((((0 + sqrt(475) - sqrt(475)) + 0)*-4)**2 - (-4*(sqrt(152)*1 - sqrt(152)) - sqrt(152))\/(1*sqrt(8)*3)).\nAnswer: -1 + sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160781247*a**4 - 200673724*a wrt a?\nAnswer: 1929374964*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {r: 1, c: 5, j: 6, o: 1, q: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - -7. Solve k + w = -5*p + 7, -3*k - 18 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112202122 - -11?\nAnswer: -112202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -389 - -386. What is the closest to 1 in -1, d, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/14)\/(1560\/1680)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:41 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/293 = 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:40 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 7 - r**2 + 7*r**2 + 10*r - 6 + 6. Suppose w + a = 2*a + 11, 0 = -5*w - 2*a + 27. What is the tens digit of s(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 6*h + (4 - 2 + 0)*(0 + 0 + h) - 2*h + 0*h + h)*(h**2 - 5*h**2 + 2*h**2)*(-2 - h + 2)*(-4 + 0 + 3).\nAnswer: -14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -1 - 1\/2*s**2 + 0*s. Let n(p) = -p - 1. Let m(o) = o**2 + 3*o + 3. Let y(r) = 2*m(r) + 6*n(r). Calculate y(a(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 63*a + 67*a + 248 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 1178.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/2 of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 51, 63, 77?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -250?\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 331982.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 202*d - 939. Is s(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -16, -2408, 99, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1937*f**4 + 8*f**2 + 56*f wrt f.\nAnswer: -46488*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*r + 15. Let u(c) = c**2 - 3*c - 5. Let v be u(r). Solve -4*d + 10 = -5*q - 5, v*d = -2*q - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/2*(1 + -2). Let q = -7445 + 7448. Solve 3 = a*t, 3*t = -2*c + 4*t + q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Let m be (-3)\/k*(-2)\/42. Let l = -3\/14 - m. What is the nearest to l in -5\/4, 1\/7, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 124\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -259*k**2 + 115*k?\nAnswer: -518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7831681809?\nAnswer: 3, 7, 53276747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -15*y - 8. Suppose -5*o - 3 = 22. List the prime factors of v(o).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2299.6 + -2299. Let g = 2 + -1.9. Let i = -0.1 - g. What is the smallest value in i, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5 = 10. Suppose -i*z + z = 0. Suppose -2*k - k + 30300000 = z. What is k rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -89*n + 46. Suppose 49*r - 15 = 52*r. Is 21 a factor of t(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4153, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 20 - (-2 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-15) + 42\/5. Suppose f = 3*f - v. Let m(j) = -j + 1. Let t(b) = 5*b - 3. Let r(x) = 4*m(x) + t(x). Calculate r(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, -197403, -1\/7?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 10?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**3\/4 - 391535*g**2\/2 + 47711455*g - 2909263850 = 0.\nAnswer: 122, 156370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, s: 4, l: 2, u: 6, m: 1}. What is prob of picking 2 w and 1 u?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -16, f - 4*t = 4*f - 4. Let o be (10\/f - -1) + 4. Is o bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 10:20 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-12)*i*i*i*i**(-12)*i)\/((i\/(i\/i**(-3)*i))\/(i**19*i)) assuming i is positive.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 6*t + 3. Let q be w(-6). Suppose -6*r + 3*r = -5*f + 88, -q*f - 5*r = -80. Solve 2*u + 2*u + f = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 39*q**2 - 1. Let d(t) = t - 1. Let f be d(3). Is w(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1101, 1103, 1105, 1107, 1109, 1111?\n\"Answer: 2*z + 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 11 + 2*w**2 - 4.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 5. Let i be r(-9). Let l(h) = 10*h + 19. Is l(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 1\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1480.76 and 331.\nAnswer: -490131.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -34. Suppose -2*c + 5*r = 3*c - 120, c + m*r - 8 = 0. Suppose -3*g + 8*g = c. Solve -24 = 4*z + 3*x, g*z + 0*x = 4*x + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h*h**5)))\/((h*h**3)\/h)*(h\/(((h\/h**(-1\/10))\/h)\/h))\/(h*h*h**(-2\/7)*h) assuming h is positive.\nAnswer: h**(223\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 15238152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 30 = -w, 4*z = 4*w + 104. Let g(o) = 2*o**3 - 4*o**2 + 2*o - 1. Let h be g(4). Let c = w + h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -1\/3, -4, 8, 2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + -11 + 15 + -9.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 23*w - 155. Let i be z(48). Let t = 1732 - i. List the prime factors of t.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -8*u**2 + 0*u + 0 + 7\/30*u**5 + 0*u**3 + 0*u**4. Let c(o) = o**2. Give c(p(w)).\nAnswer: 196*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = 36. Suppose 3*y + 12 = 2*l + y, -4*l + 21 = -y. Let w be (l\/1)\/(a\/(-8)). Which is bigger: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 - 3*f + 3. Let u be x(-3). Let j be u\/(-9)*(-21)\/(-14). Sort -0.1, -0.2, j in decreasing order.\nAnswer: j, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -3\/5, -11, 1, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)*-1 + (sqrt(20)\/sqrt(4))**2*-4.\nAnswer: -10*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 7:26 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -114053?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8899 - 8904. Which is the second smallest value? (a) -4 (b) 1\/5 (c) -3 (d) f (e) 1\/124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109289 + -9778. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 4, h: 1, i: 2, p: 1, j: 3}. What is prob of sequence xo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2064?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 2*z - 1. Let x be w(1). Solve 3 + x = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.17 + -20.47. Which is the nearest to 1\/5? (a) -5 (b) -2\/5 (c) p (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 36 - 26. Let v be (-264)\/36*((-17)\/(-2) + s). Let t = 82 + v. What is the remainder when 13 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1598 (base 13) in base 10?\nAnswer: -3167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.7 + 111.3. Let c = 0.009916038 - -124.990134962. Let a = c - o. Round a to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/17 - 96*f**2\/17 - 198*f\/17 - 100\/17.\nAnswer: 2*(f - 50)*(f + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168.9311 + -0.1311. Round p to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, f: 2, m: 2, x: 1, e: 4, y: 1}. Give prob of sequence ge.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 24*q - 9. Let y be w(-11). Let z be 26\/(-143) - 4838\/11. Let i = y - z. List the prime factors of i.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(684)*3 - sqrt(684))**2.\nAnswer: -16416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 7*d**2 - 3*d - 7. Let w be l(-5). Let b = -38 + w. Calculate the remainder when 36 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 696 and 16?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/15 + (-41361)\/(-63240) and -103\/124.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-60)\/27 - ((-263)\/(-9468))\/((-17)\/8).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuu when three letters picked without replacement from nuuuun.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.3215 - 212.557.\nAnswer: -186.2355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10)\/(6\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -281, -274, -269, -266, -265, -266, -269?\n\"Answer: -t**2 + 10*t - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1525460 divided by -445?\nAnswer: 3428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 34. Let f = -8 - a. What is the closest to -0.1 in -0.3, -0.05, f?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -162 + 190 + (-40 - 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 7*c + 5. Let g(o) be the third derivative of 17*o**4\/24 + 47*o**3\/3 + 7*o**2. Let d be g(-6). What is n(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtwt when four letters picked without replacement from {t: 3, w: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-20))\/(6\/(-10))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -c + 23, -n = -4*c - 4*n. Suppose 0 = -2*y - c*y + 45. Solve -3*h + 4 = b, 4*b + h - y = 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3696*-0.11.\nAnswer: 406.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 78. Suppose 16 = x + 11. Find the third derivative of 199*z - 8*z**x - 94*z - z**2 + f*z**2 - 2*z**3 - 103*z wrt z.\nAnswer: -480*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -10*g - 268. Let d be n(-53). Let x = d - 258. Solve 5*t + x = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -44*t - 528. Let u be g(-12). Solve -b + x + 3 = u, -b + x - 3*x - 6 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1481*i - 23830. Calculate h(16).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyycyfnfjdndcyncyf. Give prob of picking 1 j and 1 y.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = j + 10, 4*d + 4 - 1 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {y: 2, m: 4, q: 4, g: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8552 a factor of 2880219528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 311533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.38 - -0.18. What is the fourth smallest value in -1, -1\/2, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.189 (b) 2670 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 5)*(-n + 0*n - n) - n + 5*n - 2*n + 2*n - n - 3*n)*(-7 - 3 + 3)*(8*n - 3 + 3) - 1 + 1 - 2*n**2.\nAnswer: -114*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/29)\/((b\/b**(-9))\/b))\/(b\/(b*b\/b**1))**(14\/3))**24 assuming b is positive.\nAnswer: b**(-6216\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 10*t - 4*t**2 + 0*t**2.\nAnswer: -t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, -1, -4772.\nAnswer: -4772, -188, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -13.28. Let c = p + -0.28. Suppose 5*w + 398 = 4*x, 5*w - 5*x + 591 = 191. Which is greater: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -657c?\nAnswer: 657b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7\/((-56)\/(-1756)) + (-1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -43008*w + 344062. Determine k(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**3 + 4*v**2 - 4*v**2 - 17*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5. Let n be (k\/(-1) - -2)*-1. Let c(z) = -3*z. What is c(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 388 = -116. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eb693 (base 15) in base 9?\nAnswer: 1358163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123504409 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 19*z**2 + 54*z - 12. Let x be d(-23). Suppose 56*w - 55*w = 3*n + x, 852 = w - n. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6476*u**2 + 1504*u**2 + 3078*u**2 + 1895*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.1237\nAnswer: 0.06185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((280\/1232)\/(130\/429))\/((-42)\/(-64)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*p + 8 = 336 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1819 times -169\nAnswer: -307411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2. Let n(a) be the third derivative of a**6\/36 + 3*a**4\/8 + 10*a**2. Let z(f) be the second derivative of n(f). What is z(o(u))?\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + f - 5. Let r be b(-3). Let d be 4*42\/48 + r\/2. Let y be (-2 - (-1421)\/(-210)) + d\/(-10). Which is smaller: y or -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3*0 - -2. Suppose -1 = 2*a + 3*a - 2*d, 17 = g*a + 5*d. Which is bigger: a or -6\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*i - 3*i. Let s = -0.21 - 0.19. What is the nearest to -2 in i, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -119, -354, -805, -1544, -2643, -4174, -6209?\nAnswer: -8820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 0*q**2 + 0*q**2)*(76*q**3 - 183*q**3 - 141*q**3).\nAnswer: 248*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0, -1\/258?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, -2, 0.7, 2\/7 in decreasing order.\nAnswer: 9, 0.7, 2\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*n - 14*n + 5. Sort n, 1, -3 in increasing order.\nAnswer: -3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*b + 6*b**3 + 21*b + (2 - 2*b**2 - 2)*(-5*b + 8*b - 6*b) to z*b + r*b**2 + s + o*b**3 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + 0.08. Let r = p + -2.06. Put 2, r, 0.2 in descending order.\nAnswer: 2, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -0.2, 0.1, 4\/3, -12.9, 3 in decreasing order.\nAnswer: 3, 4\/3, 0.1, -0.2, -12.9, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 115 (b) -2\/3 (c) -15 (d) 5.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77616?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frnf when four letters picked without replacement from {j: 2, n: 1, b: 6, y: 2, f: 3, r: 1}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plqb when four letters picked without replacement from qybppqqyqblqqy.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.7 + -11.7. Let i = 3 - 2.9. Which is the third biggest value? (a) i (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2645, 2641, 2635, 2627, 2617, 2605, 2591?\n\"Answer: -m**2 - m + 2647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + o + 4. Let l(c) = c + c - 3*c + 3. Calculate the remainder when k(0) is divided by l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(567))**2 - (sqrt(252) - (sqrt(252) - 1*sqrt(252)))) + sqrt(28)\/(sqrt(4)*-2) + (sqrt(112) + sqrt(7))*-4.\nAnswer: -89*sqrt(7)\/2 + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-40))\/((-27)\/(-12)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -9*x - 8 + 29 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.27158 and -0.006.\nAnswer: 0.00162948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-525)\/18 + 13\/78. Let p = w + 40. Let a(t) = t - 16. Determine a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.075 and -7002.\nAnswer: 525.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1*(-2 - 0))\/(-2))\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 3. Let g = -67 - -59. Let k(o) = 3*o - 9. Determine g*j(l) - 3*k(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 = 3*g. What is the derivative of -2 + 3 + g + 4*w - 5 wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 89843.1mm?\nAnswer: 8984.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000589 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -17*d**2 + 1536*d + 57. What is the hundreds digit of g(42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2818503 is divided by 674?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 106. Is 2 a factor of (-1)\/(c + (-2)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4 = -4*k, -4*s + 5*k + 5 = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -20*b - 1\/36*b**3 + 13\/72*b**4 + 0*b**2 - 49\/180*b**6 - 7\/24*b**5 + 0. Suppose q(j) = 0. Calculate j.\nAnswer: -1, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6368191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*t**3 - 4\/3*t**2 + 4 - 10\/3*t = 0. Calculate t.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*j**3 + 56*j**3 - 6*j**3.\nAnswer: 141*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**2 + 2032*n + 45209. Calculate r(-24).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*r**3 + k**3 + 57124*k*r**3 - 2*k*r - 34*r**3 - 10661648*r wrt r.\nAnswer: 12*k**3*r + 342744*k*r - 204*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, e: 1, n: 2, c: 9}. What is prob of picking 1 e and 3 c?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 13*m + 23. Give s(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - 52*i + 51*i = 114, -5*g - i - 34 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 - 22 - 15*j**5 - 2*j**3 - 2*j**5 + 2*j**3 - 4*j**5 - 8*j**5 - 5*j**5 + (5*j**2 - 2*j**2 - 5*j**2)*(-2*j**2 + 2*j**2 + 2*j**3).\nAnswer: -38*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 396651 equal to 397365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -120122110?\nAnswer: -120122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - w**2\/2 - 3*w\/4.\nAnswer: w*(w - 3)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(11\/6)*h\/(h\/h**(-1\/8)))\/((h*h**(-28))\/h*h*h**(-7)) assuming h is positive.\nAnswer: h**(793\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12658465.\nAnswer: 5, 19, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1872)\/(-34632))\/((-1)\/74)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5120\/9 (b) -13\/2 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 46*a**2 - 274*a**2 - 137*a**2 + 108*a**2 - 215*a**2. Let k(j) = -8*j**2. Give k(z(q)).\nAnswer: -1782272*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5063387 to the power of 1\/2, to the nearest integer?\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5248826 divided by -90497?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 32*k**2 - 30*k + 63. Let s be n(-31). Let h(b) = b**2 + 2*b + 4. Let p be h(0). Calculate the greatest common factor of s and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -626?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15615 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s - 3*n + 2*n = 22*s + 397, 4*s - 4*n = -0*n + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 52\/611*(-2)\/(-8). Let o = -87\/329 - d. Let v be 3\/15*(-11)\/22. Which is greater: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) + 10\/(-4). Let h = q - -6. Let s(l) be the third derivative of l**5\/60 - 7*l**4\/24 + 5*l**3\/6 + l**2. Determine s(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249888767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2395 is divided by 2393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -15*q**2 - 317*q - 4. Let i be f(-20). What is the highest common divisor of 624 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 49*c - 324. What is h(9)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14.7 * 0.03\nAnswer: 0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**3)\/g)\/g)**(2\/57) assuming g is positive.\nAnswer: g**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 7 + 23. Suppose -s = 2*v - 15, 0*v - c*s = v - 18. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17 - 5*t**2 - 28*t**2 + 18*t**2 wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1466091 by 92.\nAnswer: -1466091\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.41742 rounded to 1 dp?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/11 + 39\/(135564\/124504)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 v when three letters picked without replacement from gngvgvk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65877991, 65877990, 65877989, 65877988, 65877987, 65877986?\nAnswer: 65877985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5014669039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-540)\/(-63))\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5 + 1552*b**4 - 9408*b**3 + 18872*b**2 - 15748*b + 4728.\nAnswer: 4*(b - 3)*(b - 1)**3*(b + 394)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - i - 14, 5*q + 3*i = 11 + 17. What is the hundreds digit of -11 + 490 + -1 + q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j - 2*j + (-4 + 4 - 2*j)*(-3 + 5 + 0) - 27 + 27*j + 27)*(-2*j**2 - 5*j + 5*j).\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:32 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4116?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 7*a + 7. Let w be h(4). Let d be 12\/w*25\/(-95). Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2125 - 221562*n**2 - 3085 + 221563*n**2 to d*n**2 + q*n + m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394543?\nAnswer: 41, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13353 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/147 - (-187)\/(-7). What is the units digit of (-1 - 2 - q)*11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-171)*(-72)\/(-60).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + -2 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14072 + -8999. List the prime factors of s.\nAnswer: 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-5))\/((-2)\/10). Is 4 a factor of v*1\/3*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339567517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4\/5, 2\/9, 1, -0.09.\nAnswer: -4\/5, -0.09, 0.2, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 20 = 2*n. What is the remainder when (-4)\/((-20)\/(-15)) + 16 - 1 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.86 - 0.03. Let q = h + -0.83057. Round q to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 + 31?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5821 divided by -4\nAnswer: -5821\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 7*w + 9. Let o be k(6). Let z = 5 - o. Let p(t) = -2*t**2 + 1 + 0*t**2 + 3*t**z. Let f(m) = -2*m**2 - 3. Calculate -f(x) - 3*p(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t + 87. Suppose s - 3*f - f = 2, -5*s = -f - t. Let a be (-26)\/(-12) - s\/36. Solve 2 + a = -4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 19*m - 147950 + 73980 + 73970 - 7*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2941423 is divided by 3830?\nAnswer: 3813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 1863330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 150.925 and -1608954061?\nAnswer: 1608954211.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1355 = -2*p + p, 2*p = 5*n + 2695. Suppose -2*d + 544 = -y - 2*y, 3*y = 5*d - p. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-1))\/(12\/30) - 1. Solve -v = -k*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5*v + 5)*(2 + 9 - 2) + 3 - 3 - 5*v.\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7375513 divided by -6.\nAnswer: 7375513\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -6. Let z = -9 + s. Is 2\/25 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21036944, -42073859, -63110774, -84147689?\nAnswer: -105184604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((c**(2\/23)*c*c)\/c)\/c)\/c)\/c)\/c*c*c\/c**(-2)*c*c)\/(((c**(-2\/5)\/c)\/c*c)\/((c\/(c**(-1\/5)\/c))\/c)) assuming c is positive.\nAnswer: c**(654\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(((-27)\/(-2))\/9))\/2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.54 - -0.84. Let s = 0.5 + -0.3. Which is the nearest to 2\/5? (a) w (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32445319 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18184153\/20 or 909209?\nAnswer: 18184153\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144699 and 783873?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3 - 6 + 3 + 1 + 4 - 1 - 1 + (2 - 2 - 1)*(2 - 2 + 2) + 2 - 2 + 2)*(554*b - 16324 + 16324).\nAnswer: -554*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(832) - (sqrt(832) - (sqrt(832) - (1 + sqrt(832) + -4)))) - (1 + -2 + sqrt(832) + -2 + sqrt(832)))**2*-1.\nAnswer: -3364 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12)\/((-6402)\/3104)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48526 - 18205 - 7367 = -28783*r + 156166 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -153, 3, 7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/6 (b) 3\/7 (c) -101 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/7 - 963*j**2\/7 + 10395*j + 735075\/7.\nAnswer: 3*(j - 165)**2*(j + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 10*q + x - 7, 5 = -x. Let n(y) = 4*y**2 - 2*y + 11. What are the prime factors of n(q)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*h + 346*h + 23*h.\nAnswer: 330*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365484 + 363801 = 51*h for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1) + 83 + -93 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 23, 7.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 6*w**2 - 2*w + 7. Let n = -31 + 43. Suppose -n*d + 8*d = -20. Let u be y(d). What is the highest common factor of 33 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -116 (b) -0.4 (c) -2 (d) 0.2 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -31688200 divided by 2690\nAnswer: -11780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499) + (sqrt(2499) - sqrt(2499)*-2 - sqrt(2499)))\/sqrt(192).\nAnswer: 21*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 10:44 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 47*v**2 - 100*v + 465. Calculate i(45).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f - 3*f - 2*f to the form r + y*f and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 153 - 252. Let m = 33073.7 - 32974.70016. Let x = i + m. What is x rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -937.\nAnswer: 1499.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-80))\/(-3)*-30*4\/(-12)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -1. Let d = 3 + k. Solve -3*o + 15 + d = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 r when three letters picked without replacement from {r: 1, h: 4, g: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/15 - (378\/(-5))\/7. Is (-1)\/((-77)\/23625) + 2\/t a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6252, 6251, 6250, 6249?\n\"Answer: -u + 6253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 3) to base 10\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n - 409 = -17 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3508055083 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, -1\/7, -1.1219, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, -0.2, -62, -0.7, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -0.14.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12690?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 - (4 + 3 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/13 + 138*h**4\/13 - 396*h**3\/13.\nAnswer: -2*h**3*(h - 66)*(h - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38279*x**5 - 18934*x**5 - 455*x - 29745*x**5 - 19*x wrt x.\nAnswer: -208000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 11*d + 8. Let q(a) = 4*a**2 + 8*a - 5. Let o be q(-3). Calculate the remainder when h(o) is divided by 73\/5 - (-10)\/25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**5*l - 136*a**3*l**3 + a*l**3 - 1404*a - 2*l**3 wrt a?\nAnswer: 80*a**3*l - 816*a*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/3 and -29\/129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/25 in 4, -2, -0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v + 3*v)*(1 - 1 - 1) + 75 + 6111*v - 2036*v - 2039*v - 2027*v.\nAnswer: 7*v + 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -63786 + j + 0*j**2 + 9*j**2 + 63876 as g + f*j**2 + c*j and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Solve -8 = 2*g, -g = 3*d - 8 - w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1856872.15 to the nearest one thousand.\nAnswer: -1857000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 23814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 156.\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 102?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (27\/(-4))\/((-5)\/40). Let k = d - 160\/3. What is the common denominator of -85\/8 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.3068 and 1700.\nAnswer: 1701.3068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6600 divided by 264?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -254148971185 and 2.02?\nAnswer: 254148971187.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/6, -3\/7, -0.1, -1\/2, -19?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n + 451. What is the remainder when i(52) is divided by (-32)\/24*(-2)\/(-4)*-63?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 3, k: 5, g: 7}. Give prob of sequence cgpg.\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5924*a*q**3 + 506455*a*q**2 - q**5 wrt q?\nAnswer: -35544*a - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9883 is divided by 898.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -25.9 (c) 2\/5 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 3*q + 1. Let b be s(5). Suppose 2*l = 2*x - 14, -5*x + 2*l + 3 = -b. Let p = -4 + x. What is the lowest common multiple of 2 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1530, 3062, 4594?\nAnswer: 6126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:40 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 616 and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5250369843?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2 + (-3870)\/(-172)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -85 or -251\/3?\nAnswer: -251\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25510 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35288, -35291, -35294, -35297?\nAnswer: -35300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + sqrt(99) + sqrt(55)\/(sqrt(5)*2)).\nAnswer: 5 + 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*y + 666 = -2*y. Let w(i) = 38*i - 6. What is w(y)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(1 + 28\/(-16)). Suppose 4*d + k*y + y = -27, 0 = -3*y - 9. Let s be (-7 - -5)\/(51\/15 + -3). Put s, d, 6, 4 in descending order.\nAnswer: 6, 4, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g - 16. Let i(r) = 18311*r**2 - 9153*r**2 - 9156*r**2. What is a(i(d))?\nAnswer: 8*d**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-5)\/(-10))*(-1 + 1). Suppose 6*f - 12 + k = 0. What is the units digit of (1584\/27)\/(f\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1947*i - 1942*i + 3904*i - 630 = 0 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 2\/13, -398.\nAnswer: -398, -38, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 14. Let m(k) = -k - 9 - v*k**2 + 14 + k**2 - 4. Let i be (-17)\/((-68)\/(-8)) - -1. Let n(l) = 4*l**2 + 5*l - 8. Determine i*n(z) - 6*m(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-190)\/4)*5. Let x = -8.3 + 3.2. Let z = -0.1 - x. What is the closest to 2\/3 in -0.3, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 1, x: 1, n: 1, z: 1}. What is prob of picking 1 z and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 845 + 0*t + 2*t - 1707 as q*t + g and give g.\nAnswer: -862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wammymo. What is prob of picking 1 w, 2 m, and 1 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 - -1.264. What is g rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.007 + 0.317. Let w = -0.310002 + c. What is w rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93953.16 + -6.6178?\nAnswer: -93959.7778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53944*g**3*k**3 - 4*g**3 - 285*g**2 - 3*g*k**3 - 9*g wrt k?\nAnswer: 161832*g**3*k**2 - 9*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let w(u) = -2*u**2 + 9*u**2 - 6*u**2. What is w(q(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {o: 5, k: 1, r: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3354739?\nAnswer: 3354739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/((n*n\/n**(1\/2)*n)\/n)*n))\/n)\/n**(1\/5))\/(n\/(n\/((n**(-2\/9)*n)\/n)*n)*(n*n*n*(n**(-8\/5)*n)\/n)\/n) assuming n is positive.\nAnswer: n**(11\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.22 + -8.22. Put 1\/6, 2, w, 0 in decreasing order.\nAnswer: 2, 1\/6, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, -6097, -3, -5, -1 in descending order.\nAnswer: 79, -1, -3, -5, -6097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/(-90))\/((-2)\/(-9)))\/((-372)\/992).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 1 = 3*o. Suppose -2*z - 1 + o = 3*f, z + 3*f = 4. Calculate the greatest common divisor of 4 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from oooaaoaannooeeanaoe?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 26. Suppose 6*t - 23 = -u. Solve -3*n = -n - t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 1)*(-f + f + f) - 2*f - 1 + 1)*(-7*f**2 + 141*f - 141*f)*(4*f - 2*f - f).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 + 1 - -123) + -150?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 30. Let v = 37 - 51. Let z be a(v). Solve 20 = -z*k + 7*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.5, 0.3, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 51150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 54. Let m(g) = 41*g + 167. Let d be m(-4). Suppose -2*b - d = -y. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppp. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323892 and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/128*(-352)\/(-440)*5\/(-6)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -480, -458, -436?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1993 + -806. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/7678550 and 95\/586362.\nAnswer: 161249550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717 < 4703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 8 = 4*b, -j = -0*j - b + 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1008 and 163\/336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2860 is divided by 191?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -12. Suppose d*t + 2*t = 0. Suppose n = -t*n + 27. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 12*p**2 - 13*p + 13. Let w be h(13). What are the prime factors of 288\/w - 4\/26?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.6. Let g = x - -0.9. Let z = -0.01 - -0.31. Is z > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/7 + 30*y**2\/7 + 96*y\/7 + 88\/7 = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 151973431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15242849 and 1192.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11185980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2223762, 4447514, 6671266, 8895018?\n\"Answer: 2223752*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -76. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1729808 and 1622352?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -29. Let x(u) = 22*u - 22. Let s be x(z). Suppose -3*b - s = -5*b. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/5 + 2446*l**2\/5 + 22148*l\/5 + 34496\/5 = 0. What is l?\nAnswer: -7, -2, 1232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - 4 - -24417) + 5*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 0)*(-4 + 0 + 3) - 2 - 4 + 4 + (1 - 1 + 1)*(3 - 6 + 2))*(22*v**3 + 9*v**2 - 16*v**4 - 24*v**3 - 10*v**2).\nAnswer: 32*v**4 + 4*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3653?\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 125824425 to the nearest 10000.\nAnswer: 125820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**6\/120 - c**5\/60 - c**4\/24 + c**3\/3 + 21*c**2\/2 - 23*c. Let h(b) be the first derivative of k(b). Calculate h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19505*c**2*d*j**2 - c*d*j**2 + 189*c*j - 36*d*j**2 wrt c.\nAnswer: -39010*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c)**(-4\/3)*(c\/((c\/c**6)\/c))\/(c\/(c*((c**(-6)\/c)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*m**3 - 3*m - 103*m**3 + 3*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119.388 - 0.012. Let x = -112 + 222. Let l = p + x. Round l to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63.8 - 55. Let b = u - 8.604. Let x = b + -0.19691. What is x rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/220655 and 33\/34.\nAnswer: 7502270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -30683 (c) -4 (d) 0.2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-3)\/((-135)\/(-3)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-1\/3))\/z)**(-1\/75))**(-17) assuming z is positive.\nAnswer: z**(17\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u - 144 = -75*u + 56*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 819.9538 nanograms?\nAnswer: 0.0000000000008199538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -902.533 - -904. Let o = -2.947 - -3. Let x = o + k. Round x to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - j + 1. Let g = 7 + -8. Let r(u) = u**2 + 1. Let t(p) = g*r(p) - 2*h(p). Calculate t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5\/3 - 14*y**4\/3 - 469*y**3\/3 + 7142*y**2\/3 + 156*y - 2376 = 0.\nAnswer: -22, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667858447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 168297257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*b + 2*c, 18*b = 19*b - 5*c - 5. Suppose 4*z - 3 = 1. Sort 4, z, b in increasing order.\nAnswer: b, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - 2*(sqrt(300) + 0)) + sqrt(300) - ((sqrt(300)*1 - sqrt(300))*-2 - sqrt(300)))**2*6 + 2.\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1689 = 15*c - 16*c, -8487 = -5*c - h. Suppose -2*t + 58*m + c = 55*m, m + 4262 = 5*t. What are the prime factors of t?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let r = 28 - 23. Which is the third biggest value? (a) r (b) j (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*q*x**3 - 2*f**3*q*x - 1618*f**3*q - 17*f**2*x**3 + 2*f**2*x**2 + 53*q*x**2 + 2 wrt f?\nAnswer: 6*q*x**3 - 12*q*x - 9708*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2600632*z**6 + z**2 - 634796.\nAnswer: -312075840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:13 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*m - 11, -c - c = m - 17. Suppose -32 = -0*h - 4*h. Let x = h + c. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 + 533*v**2 - 2366*v - 47. What is x(-182)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -62*x**3 - x**2. Calculate i(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3 + 3)*(-561*m**2 + 1759*m**2 + 497*m**2).\nAnswer: 3390*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000078261 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 17*u + 23. Let p be s(10). Suppose 6*b - 5*q = 9*b - 212, -4*q = 2*b - 142. Calculate the greatest common factor of b and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 10. Let l be g(-5). Let o be (42\/l + -3)\/(10\/(-25)). Which is greater: 0.02 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 - 1. Let r be m(-1). Let z(t) = -t**3 - 7*t**2 - 2*t + 7. Is z(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + 166 + -59 + (-18)\/(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31476 + -2739822036?\nAnswer: -2739853512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**4\/12 - 37*i**3\/6 - 18*i**2 + 54*i + 31. Factor c(z).\nAnswer: -(z + 1)*(z + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3927960 to the nearest 10000.\nAnswer: 3930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6311*p**4 + 71*p**2 + 48546*p.\nAnswer: 151464*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 at least as big as 176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**2. Let x(l) = -2*l**2 + 6. Let z(c) = 5. Let w(n) = 5*x(n) - 6*z(n). Determine w(f(v)).\nAnswer: -360*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.03807603 rounded to three dps?\nAnswer: 7.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vurvaarrva. What is prob of sequence vaar?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 13*a**2 + 13*a - 9. Let s be b(12). Let y = 10 - s. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 3*d - 3. Let c be w(4). Let r(o) = -o**3 - 4 - 7*o**2 - 1 + 4 + 5 - 9*o. Is r(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + (-6 - (3 - 16)) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 190, 702, 1542, 2710, 4206?\n\"Answer: 164*m**2 + 20*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2\/7 - 12*f\/7 + 16\/7 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 325, 664, 1125?\nAnswer: 1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-8))\/c)\/c**(-2\/43))**(-2\/39) assuming c is positive.\nAnswer: c**(-692\/1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -673\nAnswer: 22\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-16 + 44) - -43.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + 26\/(-7). Let g be (-4)\/(-18) - 168\/27. Does 2 divide 8\/g*6\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(135))\/(-2*sqrt(720)))\/(1*(sqrt(225) - 3*sqrt(225)*-5)).\nAnswer: -sqrt(3)\/960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 483636533 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 2:30 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76073587?\nAnswer: 19, 4003873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48231, -48412, -48593, -48774, -48955, -49136?\nAnswer: -49317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -3480624.\nAnswer: 62651232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13127519 (base 10) to base 7.\nAnswer: 216403436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {i: 5, u: 3, x: 1, z: 1, y: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from koo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 - 50*f + 120. Let u be v(6). Solve -860*p + 864*p - 32 = u for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/5 + 616*z\/5 + 618\/5 = 0. What is z?\nAnswer: -1, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h - 37. Let k be d(-7). Which is greater: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -1) + (0 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 5 (c) -2\/15 (d) -5\/14 (e) 0.05 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 7:01 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29003309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, t: 3}. What is prob of sequence tt?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) 3 (b) -0.4 (c) 0.5 (d) 56 (e) -0.36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12548*g + 8403 wrt g.\nAnswer: 12548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**6\/360 - y**5\/60 - y**4\/3 - y. Let u(p) be the third derivative of h(p). Let z = -232 + 229. Determine u(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*c + 637*c = -264 - 1263. Is -29\/9 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 6:35 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (21 - 5 - (10 + -7) - 4) - 37?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*x - 6, -2*x - 2*d = -x - 3. Find the third derivative of -2*a**3 + x - 8*a**2 + 3*a**2 - 3 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1963832484 to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - 12*c**2 - 1583*c + 1031. What is b(31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 2*u - 1. Let s be l(2). Let j = 2 + -2.1. What is the biggest value in s, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.4 - 17.6. Let h = 46 - 416\/9. Which is the third smallest value? (a) t (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 65, 62, 59, 56, 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102990 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/4*(0 + 6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669574 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1248*x + 272 = -1279*x - 131 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whjjahwr. Give prob of sequence jw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*f**4 + 51*f**4 + 1 - 24*f**4 - f**2 + 246*f - 246*f to the form v*f**2 + u*f**4 + r*f**3 + p*f + m and give u.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - g + g)*(0*g - 12 + 3*g - 4*g) as z*g**2 + c + q*g and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 17. Suppose -2*q + 7 - w = 0. Let t(y) = 0 + 0 - 5 + 4 + 2*y - y**q + y**3. Calculate t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (0 - 0) - -97. Let s = -61 + h. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0 - 1\/14*m**7 + 5\/3*m**3 + 0*m**6 + 0*m**2 + m + 0*m**4 + 0*m**5. Find the second derivative of y(c) wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 176, 291, 404, 515?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 37 = 2*d - 2*q, -5*d - 5*q = -85. Suppose -2*x = 0, 2*x - 220 = -2*y - 0*x. What is the greatest common divisor of d and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*v - 176 + 777 = 0, -4*k = -3*v - 1163. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2057) - (sqrt(2057) - (sqrt(2057) - ((sqrt(2057)*3 - sqrt(2057)) + sqrt(2057))))))**2*2.\nAnswer: -176*sqrt(17) + 16464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 652*v**2 - 57*v + 35. List the prime factors of g(5).\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + -9 + 5 - -250?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 9. Let o be u(9). Suppose -2*w + o = w. What is the tens digit of 1030\/15 - (-1)\/w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 2*b + 231. Does 21 divide z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 116838?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -0*i. Let w be (4 + -4)\/(i\/2). Let o(x) = -3*x**2 + x + 7. Let s(g) = 2*g**2 - g - 6. Let a(h) = -3*o(h) - 4*s(h). Determine a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoo when three letters picked without replacement from {e: 3, o: 2, k: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*t**3 - 394\/3*t - 392\/3*t**2.\nAnswer: 2*t*(t - 197)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23354\/1377 + -290\/17. Let i = -1123\/162 - g. Let f = -566\/75 + -78\/25. Find the common denominator of f and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5 + 1 = 0. Let s be (2 + -5)*z\/(-1). What is the remainder when 18 is divided by 10 + 0\/(s\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6734*z - 227798 = 479272 for z.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 + 10*o + 9. Let d(l) = 7*l**2 - 20*l - 17. Let a(h) = -3*d(h) - 5*x(h). Let z be a(9). Let w = -4 + z. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 8*y + 84 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 284 = 2*c, -4*c - 3*p = 2*p - 577. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/24 of a minute?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 1060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76513500 by 315.\nAnswer: -242900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208249 is divided by 862.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333549 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-53 + 11 - 39)*(3 - 4 + 3)*(-w + w - w).\nAnswer: 162*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1124*p**2 - 525 wrt p?\nAnswer: -2248*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3653, -7342, -11031?\n\"Answer: -3689*g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1856162 divided by 24106\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 935905.99 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-2) + 1\/2. Let b(p) = -2*p**2 - 36*p - 3. Let t be b(-4). Find the second derivative of 110*w - 211*w + t*w + 5*w**r wrt w.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155 + 155 + 20*a)*(-2*a**2 + 2*a**2 - a**3).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (435\/(-87))\/(3\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 3*g + 4*z - 4, 3*z = -4*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3109 - 3105. Solve -2 - 6 = m*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 + 2 = 0, -s - 6 = -2*u. Suppose 0 = -8*n + 9*n - s. What is the units digit of ((-4)\/(-16)*38)\/(n\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -340 + 182. Let q = 1424\/9 + o. Let r be 11 + 2 + (-9)\/(45\/55). Which is the biggest value? (a) 8\/7 (b) r (c) 5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d - 4. Let h be (d\/9)\/(3\/(-9)). Let l = -4.5 + 4. Which is the second biggest value? (a) -2 (b) l (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 12:12 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**5 - 15*j**3*t**2 + 17*j**2*t**2 + 4*t**2 wrt j.\nAnswer: 240*j**2 - 90*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 4*q - q)*(-q + 4*q + 32*q) to p*q**2 + i + r*q and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9967a2 (base 15) to base 8.\nAnswer: -33711151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 18, 14?\n\"Answer: -4*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3883113nm in kilometers?\nAnswer: 0.0000000000003883113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 1. Let y(g) = g**2 - g. Let m(r) = 2*q(r) - y(r). Let j be m(-2). Suppose 0*p = j*p - 56. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*d - 103*d + 1988 = 79*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51694, 51578, 51458, 51334, 51206, 51074?\nAnswer: 50938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75209.\nAnswer: 75209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14702 - 14702.2. What is the nearest to 2 in 0.4, 5, 0.14, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -772 divided by 193?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 52*x + 168. Determine p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1141\/(-21)*(-42)\/4*2. Let n = -696 + x. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10 + 22 = 0. Suppose v = s*v. Suppose -3*y + l - 1 = -3*l, v = -5*y + 4*l - 7. Put y, -1, 5 in increasing order.\nAnswer: y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -7. Let v = 16 - g. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -20. Let s = p + -10.955. Let o = s - -6.055. What is o rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -273.2 + 273. Let w = 1.62 - 0.11. Let o = w - 0.11. Which is the biggest value? (a) i (b) o (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 18*t + 34. What is o(-6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 2*k + 2*k + (3*k + 0*k - 5*k)*(354 - 190 + 98) to the form a*k + g and give a.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-12)*(-1 + -2 - 6). Let y be 99\/(-3) - 2 - 2. Let r = y + 41. Sort 1.7, r, b in ascending order.\nAnswer: 1.7, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1356 + -1355. Suppose -h = 2*h - 2*w - 4, -h - 2*w + 12 = 0. Let z = h - q. Solve 4*y - y + 3 = k, -1 = y - z*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15794 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*a + 39. Let u = a + 2. Suppose g + 0*g = u. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x - 134 = -3599 for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.5, 86, -9\/7, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 14. Let g be z(6). Sort -3, g, 4 in increasing order.\nAnswer: g, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025122 to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -245*a + 10. Let r be s(4). Let w be r\/(-3)*(64\/20 - 2). Let m = 559 + w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = s + 4*s + 3*k, 4*s + 4*k - 32 = 0. What is the derivative of -6*u**3 - s + 58 + 12*u**4 - 23*u**4 wrt u?\nAnswer: -44*u**3 - 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - b = -t + 3, -10 = 5*t - 4*b. Let l(n) = -1 - 5*n + 0 + n**2 + 5*n**t + 0*n**3 - n**3. Let x be ((-10)\/(-3))\/((-4)\/(-6)). Calculate l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355 - 851 = -6*q. Suppose -3*k - q = -645. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, -4, 61, 51, 3 in decreasing order.\nAnswer: 61, 51, 3, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260033 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/13 + 50\/39. Which is the smallest value? (a) 1\/6 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -38. Suppose -3*t + l = 5*m - 0*t, 0 = 5*m - 2*t - 16. Let i(x) = 2*x - 1. What is i(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = -s + 4*a, 4*s = 4*a + 28. Suppose l + 8 = -s. Let k = l + 25. Calculate the remainder when 19 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Solve -2*j + 8 = 2*j - r, n = -2*j - 4*r + 22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 5. Let q(h) = -4*h + 22. Let k(b) = -9*p(b) + 2*q(b). Give k(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113451 (base 16) to base 14\nAnswer: 214c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81175?\nAnswer: 5, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 22*m + 25. Let h be q(21). Solve -z - h*b - b + 3 = 0, 2*z + 3*b = -1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, s: 4, j: 7, m: 3, p: 1}. What is prob of picking 3 s and 1 m?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*m + 3*z = -508*m - 17, 2*m + z + 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 849432080 divided by 60673720.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -205\nAnswer: 6\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 399 - 397 = -831 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540d (base 16) to base 5.\nAnswer: 1142032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27458 is divided by 516.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 4*t + 17, -q - 4*t = -0*t - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**4*g)\/g*g))\/g)**3 assuming g is positive.\nAnswer: g**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4416.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316238.\nAnswer: 2, 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 233 - 2?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 6*x - 1. Let a be l(-5). Let p be a\/35 + (-4)\/10. Let c be 994\/(-70) - -14 - 18\/(-190). What is the third biggest value in 1\/8, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335431 + 7*i - 669587 - 6*i + 334897.\nAnswer: i + 741","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355518244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1 + 3*d - 9 + 0*d - d. What is i(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1439843022 to the nearest integer?\nAnswer: 37945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72545 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, e: 3, n: 3, t: 3}. Give prob of picking 1 d and 1 e.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/24696 and -101\/7938?\nAnswer: 222264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -513662752\/271230757 - 1\/2094446. Let i = -144\/37 + z. Calculate the common denominator of i and 966\/196 - 2\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141258 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**3 - 7*z**2 - 3*z - 5. Let p be q(-2). Suppose 3*y = -5*b - 11, -3*y + 2*b = p - 4. Let m(v) = v + 15. Give m(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 125?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - r = -14522, -3*r - 6 = -5*r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**33*n*(n*n*n\/(n\/n**38))\/n assuming n is positive.\nAnswer: n**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**3 + 6*k**2 + 7*k - 6. Let g = 3 - 9. Let x(f) = -9*f**3 - 17*f**2 - 20*f + 17. What is g*x(s) - 17*w(s)?\nAnswer: 3*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452694555.\nAnswer: 3, 5, 3353293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/5 + 88*q\/5 - 484\/5.\nAnswer: -4*(q - 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**4\/b))*b*b**6)\/((b*b**(4\/9))\/(b*b**(1\/6))))\/(b*b\/(b\/b**6)*b**3*b**(-4\/7)\/(b*b**(-2\/15))) assuming b is positive.\nAnswer: b**(731\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 + -103.46. Let v = -0.46 - o. Let a = -3\/2 - -21\/10. What is the second smallest value in v, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -3105034?\nAnswer: -3105020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3 + 186*t**2 - 344*t - 4416 = 0. What is t?\nAnswer: -4, 6, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64361, -64337, -64283, -64187, -64037, -63821, -63527?\n\"Answer: 2*j**3 + 3*j**2 + j - 64367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 871214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 38. Let u be i(-20). Let a = u - -78. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 697803 (b) 2\/9 (c) -0.1 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + t**2 - t + 1. Let p(b) = b**3 + 9*b + 1. Give -o(z) - p(z).\nAnswer: -2*z**3 - z**2 - 8*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 0*j - 7*j**2 + 4*j**2 - 5*j. Let u(n) = -2*n. Let i(r) = -2*p(r) + 5*u(r). Let q(l) = -2*l**2. What is i(q(f))?\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 2*q + 13, -8 = 2*z - 1828*q + 1810*q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -767 + 767.0000593. What is r rounded to 6 dps?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.3, 22\/29.\nAnswer: -3\/2, 0.3, 22\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -794 = -18*g - 2612. Let f = g + 107. Suppose 5*t + 2*p = f*p + 4511, 887 = t + 3*p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10020122122 (base 3) to base 16\nAnswer: f99b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42.81 + 43. Let d = 0.49 - y. Let a = d + 0.1. What is the second biggest value in 0, 5, a, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - y + 7 = 0, 0 = -3*o + 6*o + 4*y + 6. Let j be o*((9 - 6) + -1). Solve -13 + 1 = -j*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 53693 = -6*c + 27*l, 5*l = -4*c + 35787. Calculate the least common multiple of c and 9.\nAnswer: 80577","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2 + 2)*(-2 - 2 + 2)*(-2*x**2 - x**2 - x**2).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 127.\nAnswer: 1778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mii when three letters picked without replacement from {i: 2, s: 1, m: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 6*d**2 - 3*d - 18. Let v be r(-6). Suppose v = 2*b, -3*z + 182 = 4*b - 919. Let h = 539 - z. Is h a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 300*c**3 - 306*c**2 + 300*c + 303.\nAnswer: 3*(c - 101)*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*y + 27 = 11, -2*a - 5*y + 20 = 0. Suppose -5*d + 359 + 51 = a. Are 81 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2228981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 68*f**2 - 52*f**2 - 17*f**2. Let c(m) = -m**2 + 1. Let w(g) = -3*g**2 + 18. Let u(k) = -18*c(k) + w(k). What is l(u(d))?\nAnswer: -225*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 - 16*o + 11. Calculate v(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14932 is divided by 4226.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1349 divided by 47757\nAnswer: 1349\/47757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gevgvgaveva. What is prob of sequence ge?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -22, -5, 18, 47, 82, 123?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*m*z**3 - 191*m*z**2 + 2*m*z - 60*m + 7990*z**5 + 5*z**4 + 12*z wrt z?\nAnswer: 42*m + 479400*z**2 + 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*n + 776 + 67 = -314 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12540800 to the nearest integer?\nAnswer: 3541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4 = -k. Let t be (-42)\/k*(-4)\/(-3). Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1335*x**4 - 9439 with respect to x.\nAnswer: 5340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b - 3*b + (-1 - 2 - 1)*(3 - 3*b - 3))*(-3*b**3 + 2*b**3 + 0*b**3 + (-2*b + 3*b + 0*b)*(-b**2 + b - b) + 3*b**3 - b**3 - 4*b**3).\nAnswer: -40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 6*p - 9*p = 134, 5*p = -5*x + 80 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 47*l**2 - 2*l - 91. Let z be i(-47). Factor 8*b**4 - 15*b**3 + 2*b + z*b**3 + 6*b - 20*b**2 + 16*b**3.\nAnswer: 4*b*(b - 1)*(b + 2)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.02 + -4.06. Let l = 0.76 - m. Let p(n) = n - 1. Let h be p(1). Which is the nearest to l? (a) 0.1 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2248*g + 8986. Calculate q(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -230, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25020 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 0 + 5 + 0*g + g**2. Let f(p) = p**2 + p + 1. Suppose w + y + 0*y = -2, -14 = -3*w + y. Determine w*f(i) - z(i).\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38290348*g**6 + 2220830*g**2?\nAnswer: 4594841760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1332849 - 1071*t - 1332849)*(-2 - 3 + 3)*(-2 + 2 + 2)*(3*t - 3*t - t).\nAnswer: -4284*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10325 + 10327. Solve 4*d + 6 = k*h, -h + 6 = 5*d + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-120*(-160)\/1 - -2). Is k*(-3)\/90 + (-26)\/195 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1333, -1338, -1345, -1354, -1365, -1378, -1393?\n\"Answer: -u**2 - 2*u - 1330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 2404137?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 783055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f - 109. Determine h(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 44. Let d(s) = -13*s - 12. Let l(f) = -58*f - 51. Let j(r) = 17*d(r) - 4*l(r). What is b(j(m))?\nAnswer: 22*m + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57816 is divided by 240?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 2*r - 1 = 3*y, 1858 = 6*r - 3*y + 1885 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/22807 - -68429\/91228. Which is the third smallest value? (a) -1781 (b) -2\/13 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(8\/((-192)\/(-9))). Let i = -90 - v. What are the prime factors of ((-6)\/10 + 120\/i)*-19?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 281*z + 80. Calculate t(2).\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6800741?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 3904.\nAnswer: 19520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -133*i**2 - 3*i. Let n(w) = 267*w**2 + 8*w - 1. Calculate -2*n(k) - 5*t(k).\nAnswer: 131*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 14 + (0 - -2) - -5 - 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 8*u + 5. Suppose 0 = -2*x + 13 + 3. Let y be r(x). Solve 4 = -y*q + q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175681.\nAnswer: 11, 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p - 5947 = -282*p - 86*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -4*z + 4*l, 4*z + 11*l = 14*l + 175. What is the lowest common multiple of z and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9 + 5*z + 8 - 19 - z. Let j(f) = 2*f - 1. Give -9*j(x) + 4*s(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3.79 * -177\nAnswer: 670.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 60 - 2*u**2 - 37 - 6 - 15. Let k(s) = -s**2 + 8*s + 3. Let i be k(8). Determine j(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 10:19 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o + 30. Suppose 3*n = o*n. Suppose n = -4*h + 5*y + 184, -4*h + 3*y = -125 - 59. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r = -66*r + 6. Let q(p) = 29*p**3 + p**2 - 1. Calculate q(r).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 13*t + 1. Is 13 a factor of j(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-110)*(12*-1)\/3\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*2 + sqrt(99))\/sqrt(3) + sqrt(33))\/(sqrt(44)*-2).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 7*o**4\/6 - o**3\/3 - 65*o**2\/2 - 167*o. What are the prime factors of a(-8)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5962 - -5961.5. Let x = -3 + 7. What is the third biggest value in 3\/7, x, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/(-10) - (-2)\/(-5). Let x be 0 - (12\/h)\/(-2). Factor 7*u**x - u**3 + 4*u**3 + 2*u**2 - 12.\nAnswer: 3*(u - 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 105\/12*(-24)\/(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2942352 by 735588.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + q**2 + 0*q**2)*(-19 - 24 + 11) in the form o + d*q + s*q**2 and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 42 = -12. What is the tens digit of f\/(-21) + (-450)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**4 - 25*q + 25*q)*((-2 - 1 + 1)*(3 - 1 - 4) - 3 - 2 + 0).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**4 + 252716*y - 368535?\nAnswer: -8*y**3 + 252716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17148 - 40471?\nAnswer: -22322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**3 + 2*u**3 + 5*u**3 - 2*u**3 + 5*u**3 - 4*u**3 + (0 + u + 0)*(4*u**2 + 0*u**2 - 5*u**2) + 47 - 47 - u**3 as z*u**3 + c*u + q + d*u**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 171851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 10:13 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 44182?\nAnswer: 44182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 480 and 3040?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/53?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 19*i**2 - 937*i + 7111. Determine d(40).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5995 minus -270369?\nAnswer: 270369.5995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**7\/42 + i**6\/5 + 11*i**5\/20 + i**4\/6 - 2*i**3 - 4*i**2 - 6*i. Find t such that o(t) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**4\/12 - 46*z**2. Let w(c) = -6*c + 3*c + c. What is i(w(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22270617731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -198 - -4) + 189\/(-21). Suppose 2*x = -5 + 17. Find the second derivative of 38*a**4 + b*a - 115*a - x*a**4 - 111*a wrt a.\nAnswer: 384*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 395?\nAnswer: 8\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 72997, 145995, 218993, 291991, 364989, 437987?\n\"Answer: 72998*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 2\/13 (c) 4\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**7\/6 - n**3\/6 - 5*n**2\/2 - 113*n. Find the second derivative of h(i) wrt i.\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 3:49 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 9*h + 5. Let w be q(-5). Is (w\/(-6))\/(3\/762) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206 - -21123432?\nAnswer: 21123223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -22 - -12) + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3879*p + 4342. What is a(1)?\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-450)\/(-200))*20\/15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 9:01 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.33 + 3.23. Let r(g) = -g**3 - 2*g**2 + 19*g + 15. Let q be r(-5). What is the closest to 1 in -1\/6, w, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvbbmbbbvbvv. What is prob of sequence mvv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m + m = -96*m - 1599 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4 - 7836*o**3 + 1973760*o**2 - 24325808*o = 0. What is o?\nAnswer: -2186, 0, 13, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:04 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16635 + 16708. Solve 71*g = v - 73 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/2*(-2 - -4). Which is the smallest value? (a) -1 (b) 2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2 + 1 - 1)*(-f**3 + 8*f**3 - 3*f**3).\nAnswer: 8*f**4 + 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(1840\/138))\/(180\/160).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -54*u + 5. Let x(b) = -217*b + 20. Let q(d) = 9*g(d) - 2*x(d). Is q(-6) 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 818669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.5 + -30. Let c = f + 0.5. What is the closest to c in -5, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.56 - 0.06. Let l = f + -0.2. Let d be (2\/10)\/(4\/(-5)). What is the third biggest value in d, 0, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2 + 28. Let x(p) = -p**3 + 17*p**2 - 17*p + 11. Let s be x(16). Let t be (-50)\/(-8) - s\/(-20). Calculate the greatest common divisor of t and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/15 + (-608)\/40. Sort 4, -5, c.\nAnswer: c, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 22*v + 225. Determine m(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -932*x - 929*x - 930*x + 2784*x. Let b(c) = 2*c**2. Determine y(b(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(1539))**2.\nAnswer: -7700 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen sevenths of a week?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5792 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83.4*0.18.\nAnswer: 15.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + (-1744 - -1749).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -7.95\nAnswer: 1.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 734\/(-10) + 16\/40. Let b = -27 - d. Let k = 0 + b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -53, -55, -39, 1, 71, 177, 325?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - k**2 - 1. Let s be (1\/2)\/(1\/2). Let x(v) = 2*v + 1 + 6*v**2 + 5 - 2*v + 5*v**3. Determine s*x(d) + 6*u(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/2, -0.1, 42, -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/5)\/(i**18*i) assuming i is positive.\nAnswer: i**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 326191 divided by -217?\nAnswer: -326191\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 17 + 64 + 52060*z - 23.\nAnswer: 52060*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -48943303?\nAnswer: 4\/48943303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7152850 and 6525?\nAnswer: 64375650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2155909208.\nAnswer: 2, 677, 398063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1806.62 - -1834. Let k = b + -0.38. Let o = k + -26.9804. Round o to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 443, 475, 557, 713, 967, 1343?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/12)\/((-1320)\/176).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1345 = -2*y. Suppose 123 = 4*p - y. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) -32 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*h = 1273 + 1562. Solve 32*p + 5*d - 5 = h*p, 5*p + 2*d = 33 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-182)\/15535)\/(-7)*(-25)\/35)\/(3\/21).\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(84) - -3*sqrt(84)*1)\/((sqrt(60) + 3*2*sqrt(60) + sqrt(60))\/(sqrt(605)*-1)).\nAnswer: -11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -205932\/7 - 1572\/7*r - 3\/7*r**2.\nAnswer: -3*(r + 262)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72.58 + 72. Let t = -0.12 + p. Let s = t - 8.3. Sort s, 1\/3, 0.1 in descending order.\nAnswer: 1\/3, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394386269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1336*i**3 + 86804*i - 86804*i)*(5 + i**2 - 5).\nAnswer: -1336*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 + 22*u + 29. Does 77 divide j(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801888?\nAnswer: 2, 3, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 9*n - 4*q + 56009, 74660 = 4*n - 4*q. Does 36 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5023726*m - 26225026 wrt m.\nAnswer: 5023726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*a**2 + 2)*(14 + 2*a + 17 - 35).\nAnswer: -6*a**3 + 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 5\/2*c**2 + 1\/3*c**3 + 5 + 6*c. What is p(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let f(u) = 32 - 32 + 3*u. What is x(f(r))?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0125587 rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11320 (base 4) in base 3?\nAnswer: 111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i + 39. Let h be f(-7). Let k be 4\/6*3*4. Suppose -k = -2*r + 6. Solve -h*b = r + 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 74*c**2 - 198*c + 1056. Let k be l(-71). Let o(s) = -5*s**3 - 45*s**2 + 10*s + 89. Give o(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by 312.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(-10) + (-2)\/5. Solve -k*r - 2 - 1 = -j, 2*j = 4*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -27. Let t = 30 - 20. Calculate the smallest common multiple of n and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34454*i + 20415?\nAnswer: 34454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 16 - (-6 + 10) - -6) + -15.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/4 - 3*u**2\/2 + 4*u - 230. Determine w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 2?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2107 and 1505.\nAnswer: 10535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/(i\/(i*i\/((i\/(i*(i*i*(i**(3\/13)\/i)\/i)\/i))\/i))))\/i*i)\/(i**(2\/13)\/i))**0)**(1\/24) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12003110 (base 4) to base 11.\nAnswer: 17695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-4)*(2 - 0). What is the third derivative of 10*r**5 + 3*r**5 - 6*r**d + 8*r**2 wrt r?\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 42*k + 2. What is y(-1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 9*v - 7*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 9)*(22*g**5 - 101*g**3 + 101*g**3).\nAnswer: -242*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295 divided by 295.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-959)\/(-21) + -3 - (-14)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1204 (b) -139 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45136261 (base 8) in base 11?\nAnswer: -55585a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 14*o - 11. Let j be u(15). Suppose j*b - 130 = -38. Let i = b - 19. Solve -11 = -3*a - 4*g - g, -14 = -5*a - i*g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 25*f**2 - 3*f + 1. Let q = -7 + 4. Let t be 0 + -1 - (q - -5). Is a(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**4\/8 - 2*h**3 - 3*h**2. Let x be t(-10). Calculate the greatest common factor of 90 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-17)*(-122995)\/2894.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318482.901 rounded to the nearest 1000?\nAnswer: 318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 8*a - 15. Let k be r(6). Let t(j) = -3*j**3 - 5*j**2 + 2*j. What is the units digit of t(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*d**3*o**5 + 6*d**3 + 8*d**2*o**5 + 3*d*o**2 wrt o?\nAnswer: -660*d**3*o**2 + 480*d**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojsjhkk. Give prob of picking 1 j, 1 h, and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -41*y**3 - 12*y**2 - 6*y + 8. Let n(h) = 2*h**2 + h - 1. Calculate 6*n(a) + p(a).\nAnswer: -41*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209245 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 176\/112*(-4)\/(-22). Sort 0, f, 0.2, -11\/7 in ascending order.\nAnswer: -11\/7, 0, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000 + -110000101101100?\nAnswer: -110000100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.7 greater than or equal to -2055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1 + 16 = 0. Let i(m) = 10*m**g + 15*m**3 + 1 - m - 6*m**3 + m**2. Is 10 a factor of i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4524 + 17129\/4. Is q at most as big as -242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236563735 + 236563735 + 118*b.\nAnswer: 118*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486, 973, 1448, 1905, 2338?\nAnswer: 2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(33) - sqrt(33))\/sqrt(11))**2 + (-1 + sqrt(3) - sqrt(3))*5 + ((sqrt(3) + 2)*-3)**2 + -4.\nAnswer: 57 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t + 379 - 1393 = 0. What is the remainder when 70 is divided by t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.52 + 0.27. Which is the third biggest value? (a) z (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6016 = 11*v. Let o = v + -87. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 398 and 1169921.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7705*k**2 + 52*k + 50. Does 90 divide x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190747 and 6466?\nAnswer: 381494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50 - 28?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/60*1*(8 - (-834)\/(-30))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a = 34*a + 3784. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 381 = 2*n - 639, -3*n + 1534 = -4*h. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9632 - 9633. Suppose -5*q = 0, 3*q = -5*z + 5*q - 5. Let j be z - 3*2\/(-15). What is the second biggest value in -1\/2, k, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 divided by -16807?\nAnswer: -222\/16807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**3\/2 + 2*n**2 + n. Let t be q(-3). Let x = 4.806 - -0.194. Put t, x, 3 in descending order.\nAnswer: x, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/47 and 76\/3.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -446 - -481. Calculate the greatest common divisor of g and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 + 3*x**4 + 4*x**4)*(3 - 2 + 0) + (-1 + 2 - 2)*(2*x**4 + x**4 - x**4).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -14, -3\/38, 3?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, 17, 68, 161, 308?\n\"Answer: 2*x**3 + 3*x**2 - 2*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5284150759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 670166 and 896?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:30 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 8. Let t be o(7). Let s = -5 + 5.5. Put s, -0.1, t in decreasing order.\nAnswer: t, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -11*s + 0*s + 1 + 0*s - 8. Let p be o(-5). Calculate the highest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 4*o - 8. Let s be q(-3). Let a(t) = -t - 7. Calculate the least common multiple of a(s) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4)\/a)\/((a\/a**13)\/a))\/(a*a*((a*a**7)\/a)\/a*a\/(a\/a**14*a)) assuming a is positive.\nAnswer: a**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, 4, -1, -5 in decreasing order.\nAnswer: 4, 1, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0985 times -0.2?\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + 46*o**2 - 2413*o + 146. Give x(-48).\nAnswer: 770","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6345206 (base 8) to base 14\nAnswer: 31dd9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*h + 0*h = -92, -120 = -4*i + 2*h. Is (i\/(-12))\/(2\/(-42)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80603, 317279, 711739, 1263983, 1974011, 2841823?\n\"Answer: 78892*p**2 + 1711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149 - -158. Let w(a) = 3*a - 12. What is w(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -10.7. Let u = -2 - -2.02. Let v = u - -0.38. Which is the closest to 1\/2? (a) v (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + 2.5. Let l = -0.9 - u. What is the second smallest value in l, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7286 and 31688.\nAnswer: 115439384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 24 + 16. Let n be ((-24)\/112)\/((-6)\/w). Suppose -4*q + q + 7 = 2*d, -14 = -4*q - 5*d. Which is the closest to 0? (a) -2 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 13 = -12. Let r = -2 + 1. Which is the nearest to -1\/5? (a) z (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 - -750376?\nAnswer: 750325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t + 2*t)*(-1 + 6 - 2)*(-6*t**3 - 6*t + 6*t).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - i + 0*i + 13098*i**4 - 12641*i**4 + 0*i**4 - 2*i**4 + 0*i**4 + (3*i**2 - 2*i**2 + 0*i**2)*(i**2 - 1 + 1).\nAnswer: 456*i**4 + 2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24911872 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i + 4. Let s be v(-6). Let o be s*-1*(-2)\/4. Let j(q) = q**3 + 9*q**2 + 11. Let z be j(-9). Calculate the highest common divisor of z and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/86001 and 115\/1962.\nAnswer: 516006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Suppose n*k - 21 = -5*y, k - 12 = -5*y - 3. What is the lowest common multiple of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 7*l + 2. Let h be n(6). Does 9 divide (-1280)\/(-90) - h\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3731.\nAnswer: 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-135)\/25 - 6\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = 282328 - 17888. What are the prime factors of k?\nAnswer: 2, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 7:21 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -51\nAnswer: -10\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12050, 12947, 14472, 16649, 19502?\nAnswer: 23055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 + 141*g + 74. Let j be a(-23). Solve -25 + 54 = -5*l - u, 3*u + 7 = j*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63185?\nAnswer: 5, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 26*q**2 + 65*q - 21. Let u be l(25). Let y = 3409 - u. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.9976 - -8. What is f rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -76 in -2\/11, 0.41, 2\/43, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/(4\/140*5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/139, 389012, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i**2 - 11*i**2 - 26*i**3 + 12*i**4 - 14*i**4 - 2*i to j*i**2 + l*i**4 + o + d*i**3 + b*i and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 0 - ((63 - 98) + 47)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1861*l - 1461*l**3 - 1861*l + (0*l + l**3 + 0*l)*(3 - 2 + 0).\nAnswer: -1460*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 35*r + 36. Let i(d) = d**2 - 12*d - 12. Let u(n) = 8*i(n) + 3*l(n). Let v = 1949 - 1954. What is the remainder when 100 is divided by u(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/102 and -11\/84.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -16. What is the remainder when 48 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/21)*a)\/(a*a**(-6)*a)*a**6*(a\/a**(-2\/13))\/a assuming a is positive.\nAnswer: a**(3071\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1495 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4 + 15\/30. Suppose -600 = i - 3*i - 4*y, -5*y = v*i - 602. Calculate the common denominator of -39\/4 and (3\/12)\/((-26)\/i).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6281 - -6280.1787. What is n rounded to 3 decimal places?\nAnswer: -0.821","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2 + 1054995*t + 3165012 = 0. Calculate t.\nAnswer: -3, 351668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syy when three letters picked without replacement from {s: 4, y: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15 + 1.49. Let t = i + -6.64. Which is the second biggest value? (a) 0 (b) 2\/13 (c) t (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.4 (b) 8 (c) 3\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m**2 + 17*m**2 - m**2)*(-27*m - 3799 + 3799) to the form c*m**2 + n*m + l*m**3 + x and give l.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 7. Suppose 6*x - z = x. Suppose x*v + 6 - 14 = 0. Solve 2*k = 4*k + v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -106497, -225523, -344549, -463575, -582601?\n\"Answer: -119026*t + 12529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5019289299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 19 + 1\/2*s**4 + 4\/3*s**6 + 10\/3*s**3 - 16\/5*s**5 - s**2 - 2*s. Factor j(c).\nAnswer: 2*(c - 1)**3*(2*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-845758.\nAnswer: -592030.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -2)\/(8 - 10). Suppose -5*j + 6*j - 14 = p. Let l(y) = y**2 - 4*y - 5. What is the remainder when l(10) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 18\/12469?\nAnswer: 18\/12469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 63080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*a - 4*s - 926, 2*a - s + 4*s + 74 = 3*a + 3*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/317 (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 27560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410639*j**2 + 205310*j**2 + 205331*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -9\/13, -0.5, 0.2, -0.3 in increasing order.\nAnswer: -9\/13, -0.5, -0.3, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 h when three letters picked without replacement from {o: 4, h: 4, d: 2, y: 3, t: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -31, 0, 9, 4 in increasing order.\nAnswer: -31, 0, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/16225 and -68\/825.\nAnswer: 48675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -6\/23, 2, -0.5 in descending order.\nAnswer: 3, 2, -6\/23, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = r - 9 - 7, 8 = -r - 2*x. Let l = 3340.5 - 3341. Which is the third smallest value? (a) l (b) r (c) 0.1 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5578.3199 - -5578. Let t = n - -0.32. What is t rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17917 * 0.9\nAnswer: 16125.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/33*(-34)\/6 - 4. Which is the closest to -4? (a) r (b) 0.05 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g + 15 = -43*g. Let x(a) = a + 1. Let v(r) = 4*r + 3. Let z(q) = 13*q - 116. Let s be z(9). Give g*x(i) + s*v(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33203 is divided by 1000?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 20 - 26)*(243 + 25*h - 243) - 2 + 2 + 2*h as n + k*h and give k.\nAnswer: -1148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-204)\/36 + 1 + (-22)\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*w + 4 + 6 = 0, 0 = 5*h + 3*w - 25. Let d = 8 - h. Calculate the remainder when 21 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = 0. Suppose -3*b + 0*b - 4*a + 21 = 0, b + 3*a - 12 = u. Is 340 - (-3 + (b - -1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 0)*5315\/(-90). Let m = 118 - n. Which is bigger: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*f**3)*(-47 + 36 - 45) + 2*f**3 + 3 - 3.\nAnswer: 114*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 5:59 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1546 + 3235. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1813 (base 10) in base 15?\nAnswer: -80d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -3. Suppose 0*v - 230 = -y*v + 2*x, -5*v + 210 = 2*x. Suppose 0 = 9*w - 1429 + 250. What is the remainder when w is divided by v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(4\/12). Let h be (-1)\/(i + (3 - 0)). Let o = 2\/403 - 816\/2015. What is the second smallest value in -2, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d + 124. What is the remainder when d is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n. Let o(d) = d**2 + 504*d + 2. What is o(t(f))?\nAnswer: 9*f**2 + 1512*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -18. Let h be 20\/(-5) - (-20)\/(-22). Let f = h - -724\/143. Which is the smallest value? (a) f (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124\/335 - -2\/67. Let s = -272 - -269. Let f be 15*(-15)\/(-25)*s\/18. Which is the third biggest value? (a) -4 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 55. Determine x(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 525, -3.6, -1\/4, 4\/5, 3.4.\nAnswer: -3.6, -1\/4, 4\/5, 3.4, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 16. Let x be 6*(-3)\/(-12)*2. Suppose -n + x = -1. Solve n*f + f = t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2764316 greater than -35936126\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -23*p**2 - 1551*p - 708. Calculate n(-67).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d\/d**(-14))\/d*d**34 assuming d is positive.\nAnswer: d**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-25)\/10 - 2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 386 - 11. Suppose 0 = 5*n - 5*u - y - 1055, n = -u + 282. What are the prime factors of n?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33*7\/77 - 141\/39?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 177*b**2 - b - 1. Let a(v) = -v**3 + 4*v**2 + v - 5. Let p be a(4). Is w(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -7*d - 392. Let f = 196 + d. What is f rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3 + 0 = 0, j + 18 = -5*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -1\/6, 12384857?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 - (-24)\/36. Is m > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1 (c) 1 (d) -3820\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 8 - 0. Let b(p) = 5*p**2 - 2*p**2 - p**3 + n*p**2. Let s be b(7). Solve s = -2*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -868 + 1220. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-117)*(2 + -20). Let r(u) = 9*u - 2. Let z(w) = 4*w - 1. What is k*r(n) + 11*z(n)?\nAnswer: -10*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 4)\/(7 + (6 - 7)). Suppose d + 35 = -5*n, 3*d + 0 = n - 9. What is the closest to u in -3, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 27 - 2, 4*q + 20 = -4*n. Let j(r) = -2*r**2 - 1 - 4*r - r**2 + 2*r**2. Let l be j(-3). Is l less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 4*p + 11188 = 0, -11*p = 4*t - 6*p - 5579. Calculate the greatest common divisor of 6 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6807696 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**2 - 72970*h + 197410545 = 0?\nAnswer: 3587, 11007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 49*y - 15*y + 64614. Calculate the highest common factor of y and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15323 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14795 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18*477\/(-18)*8\/(-18) is divided by 105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 145, 582, 1323, 2380, 3765, 5490?\n\"Answer: 2*a**3 + 140*a**2 + 3*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3\/8, -1, 5, 120, 30 in ascending order.\nAnswer: -22, -1, 3\/8, 5, 30, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1362 - -1360. What is the closest to -3\/7 in 1, 2, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a = 20*a - 2586 + 186. What is the remainder when 851 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 4803 - 2050 + 2*x**2 - x**2 + 2837.\nAnswer: x**2 - 2*x + 5590","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 397*r**4 - 798*r**4 + 397*r**4 + 1 + 17*r**2 in the form w + f*r**4 + x*r**2 + m*r + a*r**3 and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8247365 is divided by 551.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b (base 16) to base 14.\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-60)*-3)\/((-4)\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 670, 832, 992, 1150, 1306, 1460, 1612?\n\"Answer: -f**2 + 165*f + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 31 = 3*y + 34, 5*y = 5*z. Which is the fourth smallest value? (a) 3 (b) -6\/23 (c) y (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 36 = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 47. Let c = 108 + -165. Let o = -35 - c. Which is greater: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/12)\/(3\/(-8)*(-116)\/87).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-8))\/(1\/(-4)). Let s = -5 - x. Is s equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2837, -2831, -2825, -2819?\n\"Answer: 6*l - 2843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 10. Put l, 5, -5 in descending order.\nAnswer: 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -4 - -6 - 5) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3)*-2 + -4 + sqrt(8)\/(sqrt(4)*-2) + (sqrt(4)\/sqrt(2))**2 + -1.\nAnswer: -5*sqrt(2)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**5 + y**3 - 1. Let b(r) = -9*r**5 + 14*r**3 - 5*r - 4. Let v(x) = b(x) - 4*o(x). Factor v(w).\nAnswer: -5*w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s - o, 2*s - 2*o + 4 = 3*o. Let y(x) = 2*x**3 + 7*x**2 - 7. Let r(v) = 20 - 3*v**2 + 21 - v**3 - 38. Determine s*y(m) + 7*r(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 204003829 to the power of 1\/2, to the nearest integer?\nAnswer: 14283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-1\/12)*m**(-2)*(m*m\/((m*m\/(m\/m**5*m))\/m*m))\/m**6 assuming m is positive.\nAnswer: m**(-121\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/5 + 1496*q**4\/5 - 8904*q**3\/5 - 53726*q**2\/5 + 25637*q - 13410 = 0. What is q?\nAnswer: -5, 1, 9, 1490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*l**2 + 44*l**2 - 19*l**2)*(8 + 2*l + 20 + 57) in the form w*l**2 + m + s*l**3 + u*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 15*m**2 + 4*m - 4. Let o(y) = -16*y**2 + 5 + 2*y + y - y - 5*y. Let r(x) = -4*o(x) - 3*q(x). What is the first derivative of r(h) wrt h?\nAnswer: 38*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -352\/7. Which is the nearest to h? (a) -0.3 (b) -2\/11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Let a be (-15)\/6 + (-2)\/4. Calculate the common denominator of (a\/w)\/(44\/(-8)) and 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2157 - 1330. Let r = s - 827.001484. What is r rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 121, 481, 1083, 1927?\n\"Answer: 121*m**2 - 3*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 (base 10) in base 13?\nAnswer: 62a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.334 + 0.094. Let b = -0.3 + 1.02. Let u = f + b. What is u rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 37*f - 37*f - 2.\nAnswer: 2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1618*v + 58068. Give l(-36).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.42 - -30.669. Let z = 1.19 - h. What is z rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25, 9, -41, -143, -315, -575, -941?\n\"Answer: -3*k**3 + k**2 + 2*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.203 + 0.216?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3204 divided by 178\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1676 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*t**2 - 6 + 9*t**2 + 7*t**2 + 2*t**2 wrt t?\nAnswer: 26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5*m + 0*m)*(-7*m + 7*m + m**3) + (2*m - 1 + 1)*(m**3 + m**3 - 5*m**3).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*(1 + (-2)\/4). Let c be 8 - m - (-1 - 2). Solve -2*a - 3*y = -c + 1, 10 = a + 3*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2582*y - 101*y**3 + 1 - 2 - 2582*y - 371*y**3.\nAnswer: -472*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(208) - -5*(sqrt(468) - (sqrt(468) + 4)).\nAnswer: -16*sqrt(13) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*c + 3 = -9, 5*c - 20 = 4*o. Let a = 0 - o. Suppose -3*v = -a*v - 33. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 601\/3 + -200. Suppose -8 = -2*h - 4*v + v, 3*v + 4 = h. What is the second biggest value in p, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 370 and 1147.\nAnswer: 11470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 1)*20\/8. Let a = 12 + n. Is 8 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:27 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -624120 rounded to the nearest ten thousand?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 20, -959*n - 16 = -961*n - 4*q. Solve n = -2*p - 29*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (561\/(-34))\/((-6)\/4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 13*z = 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 76. Let y = -28 - i. Find the first derivative of 4*r - 3*r + 11 - r - 9*r**y wrt r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -k. Let u(o) = -3*o**2 + o - k + o - 2*o - o**3. Is 7 a factor of u(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(7) + (sqrt(847) + -1 - sqrt(847) - sqrt(7))**2) - (-4 + 2*sqrt(7) + -4)**2 - (sqrt(1764) - -3*sqrt(1764))\/(2*sqrt(35)\/sqrt(5)).\nAnswer: -52 + 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372 = -449174*o + 449112*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2221022?\nAnswer: -2221032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6357000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 3*b + 7. Suppose k + 0 = -5. Does 12 divide z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114932595 + -0.4.\nAnswer: -114932595.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -783101 by -6.\nAnswer: 783101\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -444 - -447. Which is the closest to 2\/3? (a) v (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -44. Solve 0 = h*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -15*a - 4. What are the prime factors of d(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97489\/3102 + -1418\/47. Let h = -12\/11 + p. Sort h, -0.5, 1 in decreasing order.\nAnswer: 1, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*g + 3, -2*s + 4*g = -4*s. Calculate the remainder when ((-2)\/(-3))\/(-1)*-6 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2 + 6*p - 4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33097643 is divided by 852.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**3 + 18*m**2 - 10. Let y be (3*(-6)\/36)\/(2\/(-4)). Let t(l) = -l**3 + 1. Let j(d) = y*i(d) + 10*t(d). Find the third derivative of j(o) wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - j. Let u(n) = -493*n**3 - 102*n. Determine -510*f(s) + 5*u(s).\nAnswer: -1445*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let v(h) = h**3 - 35*h**2 + 27. Let t be v(35). Suppose -11*a = t - 5. Let s(y) = 7*y + 2. Calculate a*p(i) + s(i).\nAnswer: 9*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) 88 (c) -5 (d) -143 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 33.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -21*w**3\/2 + 13*w - 37. Let i(f) = -2*f + 3*f - 2*f. Give s(i(r)).\nAnswer: 63*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*q**3 - 652 - 115*q**3 - 172.\nAnswer: 2*q**3 - 824","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = 5*m. Suppose -5*w + m*p = -42 - 10, 37 = 4*w + 3*p. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 (base 11) in base 4?\nAnswer: 110311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 12*p - 36. Let v be f(-7). Let g(i) = -i**3 + i**2 - i. Let k(m) = -6*m**3 + 5*m**2 - 5*m. Calculate v*k(h) + 5*g(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = a - 13, 12 = -h + 3*h - 3*a. Let x be (3 - 1)*h\/2. Suppose 5*j - i + 4*i = 179, -5*i - 121 = -x*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5780)\/(-323) + -18 + 752\/2090 + (-29)\/(-145)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 531*r - 2. Let o(b) = -1062*b + 4. Determine 7*g(v) + 4*o(v).\nAnswer: -531*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 3. Let w be d(5). Suppose -10*b + 5*b + 4*j = -33, -3*b - 3*j + 9 = 0. Suppose 9*x - 4*x = b. Put x, 3, w in decreasing order.\nAnswer: 3, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42104, -42103, -42102, -42101, -42100?\n\"Answer: p - 42105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y + 4. Does 20 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78901*b**4 + 3*b**2 + 154*b + 2 wrt b.\nAnswer: 1893624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474 - (-1)\/((-7)\/(-28)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 - (2\/1 + 2). Solve -j = 3*q - 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444223 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59036 and 45584?\nAnswer: 672774256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1280253, 1280252, 1280253, 1280256, 1280261?\n\"Answer: k**2 - 4*k + 1280256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let b(f) = -f**3 - 5*f**2 - 6*f - 6. Let y(v) = -v**2. Let t be y(-2). Let n be b(t). Let u(l) = 5 - 5 - 4*l**n. Give h(u(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + (-2639)\/(-261))*(7 + -8)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9995.917 litres to millilitres.\nAnswer: 9995917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/35 (b) -3 (c) -1097 (d) -9.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 43. Let o(y) = 3*y - 19. What are the prime factors of o(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7693577 < -7693578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29629*c**3 - 18661*c wrt c?\nAnswer: 177774*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24102108, -24102105, -24102102, -24102099?\n\"Answer: 3*f - 24102111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/8135*5)\/(16\/8). Let u = 100572741798619\/29286 - 3434157679. Let t = w - u. Find the common denominator of -42\/11 and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 19 = -2*o - 5*y, -4*o + 5*y - 13 = 0. Suppose -o*f = -3*c, -c - 2*c - 10 = 2*f. What is the remainder when 438\/9 - c\/6 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = 4*p + 6*u - 195, -2*p + 28 = 4*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3 and 536\/(-3438) - (-142)\/(-1278)?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52671*g**5 - g**3 - 57929*g.\nAnswer: 1053420*g**3 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-36) - 15\/54)\/((-5)\/(-380)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.73 + -2547099.\nAnswer: -2547098.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39665961 is divided by 3300?\nAnswer: 3261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102233 (base 4) to base 3.\nAnswer: -1122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (27 + -28)\/(3\/15). Let f(t) be the third derivative of -t**4\/24 + t**3\/6 - t**2. Calculate f(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 2bad?\nAnswer: 2bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 702, 692, 670, 630, 566, 472, 342, 170?\n\"Answer: -p**3 - 3*p + 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 704 and 1406372?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -636 != -640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/(-45) + (-38)\/(-6). Let i(s) = -3 + 0*s - r*s + 3*s + 2. Let t be i(-5). Solve -5*o - t = 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1368 minus -5?\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 31*c - 887. Determine l(29).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -2*j**5\/5 + 3*j**4\/4 + 27*j**2. Find the second derivative of r(i) wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3982 or -3509?\nAnswer: -3982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 - 99514227\nAnswer: -99514224.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + o**2 + 2*o. Let f(g) = -16*g**3 - 5*g**2 - 12*g - 1. Let d(z) = f(z) + 6*k(z). Calculate d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 683895325?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 262.41 and -0.3004.\nAnswer: 262.1096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -2, -9 in decreasing order.\nAnswer: 28, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 2\/7, -4\/37, 5?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 819952 divided by -18.\nAnswer: -409976\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 155469 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 54075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46342560*n**2 - 2*n + 74222383 with respect to n.\nAnswer: 92685120*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 5, 1, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 - 15?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*z + 2*a + 40089 - 39825, 2*z = z - 18*a + 11 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2683726106 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1719240 and 687696?\nAnswer: 3438480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -2\/7, 3, 4, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.13 - 0.13. Let o(x) = x**2 + 12*x + 27. Let z be o(-10). Suppose y - z = -4. Sort y, -0.4, a in descending order.\nAnswer: a, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sttcicscscepictctc. What is prob of sequence icti?\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51665145930 + 51665189399.909078. Let v = g + -43470. Let d = v + 0.091. What is d rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 174 - -2?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 4*b + 5. Let v be d(-5). Let w(z) = -z + 4*z + v*z - 2*z. Let a(x) = -6 + 2 + 2*x + 4. Give a(w(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 33, -3.\nAnswer: -3, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -3 + 4\/5*o**2 + 3*o + 4\/15*o**3 + 1\/30*o**4. Let s(b) be the first derivative of y(b). Suppose s(g) = 0. What is g?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -1970 + 650. What are the prime factors of q?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2659 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*-1949*(-40)\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13866 and 12834.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3*n + 1 + 5 = 0, -5*w - n + 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -71330 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u - 612 - 161*u + 625.\nAnswer: -128*u + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -75. Let m = o + 25. Which is greater: -10 or m?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -14. Let m = q + -11. Put 3, m, -1 in decreasing order.\nAnswer: m, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18416 + -18447. Let z = -4 - -7. Suppose -3*k + z*p = -p + 70, 0 = p + 5. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 45. Calculate the greatest common divisor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27550.36 kilometers?\nAnswer: 27550360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 189*n**3 + 1149*n**2\/4 + 15*n\/2 + 4021. Determine f so that v(f) = 0.\nAnswer: -1, -5\/378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) 2 (b) -0.5 (c) -0.3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**24*(x*(x\/(x*((x**(-1\/14)\/x)\/x*x*x)\/x)*x)\/x)\/x assuming x is positive.\nAnswer: x**(351\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0978895 and -42.\nAnswer: -4.111359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a**2\/2 - 6*a + 2 = 0. Calculate a.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4364 = 4*x, 4*j - 4381 - 13090 = -x. Calculate the lowest common multiple of j and 7.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8699211 is divided by 5337?\nAnswer: 5238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 5*v + 13, 3*v + 1 = 4*p - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 35 = -g, -y - 113 = -2*g - 54. Solve 66*u = 76*u - g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.2 (b) 3 (c) -4\/7 (d) 83 (e) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*y - 52*y + 20. Suppose 17*b = 22*b. Solve -2*l = -10, -4*h - y*l = -b*l - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 13) + -1 + 1 + -2 + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1067 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 55*f**2 - 85*f - 206. What is g(-57)?\nAnswer: -1859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 146*w + 1. Let r(c) = c. Calculate q(r(f)).\nAnswer: 146*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (-12 - -28)\/(-64) + (3 - 49\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 17, -14, -63, -136, -239, -378?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1422 and 3406322.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 g, and 1 p when four letters picked without replacement from {p: 2, g: 6, f: 1, b: 5, y: 2, n: 1}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 + -3 - (-11 + 11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -3.4. Let n = -1189 - -1186. What is the nearest to n in 4, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030832 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/600 + b**4\/40 - 43*b**2 + 1. Factor u(o).\nAnswer: -o*(o - 6)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 5\/6*l**4 + 0 + 15\/2*l**2 + 25\/6*l**3 - 5*l. Solve a(i) = 0.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49086 divided by -162.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 522975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.207 - -308634280.\nAnswer: 308634279.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 6. Let v = c - 5. Let z = v + 0.7. What is the nearest to -1 in 0.4, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 237, 485, 1141, 2403, 4469, 7537, 11805, 17471?\n\"Answer: 33*q**3 + 6*q**2 - q + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114942 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/12)\/((-60)\/36).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + (2 - 1) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10.708 * 4\nAnswer: -42.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 32 = -20*v. Suppose 5*f - v = -2*m + 6*f, 5*m - 3*f = 22. Differentiate -4*w**m - 33 - 53*w**2 + 92*w**2 with respect to w.\nAnswer: 70*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204647924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25071 = 50*s - 332679. Does 135 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 3*g + 21, -5*g + 3449*y = 3451*y + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -609714 by -126.\nAnswer: 4839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1326 and -32\/851979.\nAnswer: 376574718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429658017 is divided by 235.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319340 is divided by 31427.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20*(-3 - (-2 - 11)). Suppose 29*l + k = 33*l. Suppose -l = -12*d + 7*d. Calculate the lowest common multiple of 14 and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1717068 and 109\/360.\nAnswer: 51512040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 + 11*r - 9. What is the least common multiple of 28 and u(-4)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(0 + 6 - 4)*((0 + 0 + 2)*(2 + g - 2) + g - g + 2*g + 2*g - 7*g - 7*g + 3 - 3 - 4*g).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4215 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + y**2 - y. Let d(j) = 12*j**3 - 6*j**2 + 14*j + 2. Let m(h) = -d(h) - 10*v(h). Let g(u) = -u - 15. Let b be g(-13). Calculate m(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -61*t**2 + 368*t + 106*t**2 + 689*t - 1057*t. Suppose 3*s = -3*x + 18 - 6, 0 = 2*x - 8. Let o(p) = s + p**2 + 0. Calculate c(o(h)).\nAnswer: 45*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110324 + -104?\nAnswer: -110431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose a = -0*a - 4, 2*a = -5*l + 87. Suppose p + d*p = l. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssj when three letters picked without replacement from sjjjjss.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 12:11 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (86 + -86 - (-1 - (2 + -5) - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(42)*2*-3)\/(sqrt(216) - (sqrt(216)*2 + sqrt(216))) + 0) + 5.\nAnswer: sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q**5 - 12*q**4 + 55\/4*q**3 + 9\/4*q + 12*q**2 + 0 = 0. Calculate q.\nAnswer: -1, -3\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944 + ((-63)\/9 - -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 9 + -2 + (2 - -8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4) - (sqrt(4) + 2*(sqrt(4) + sqrt(32)\/sqrt(8)))).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 12*r - 3. Give h(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -39. Let c be (-1 + 0)*(x + -3). Solve -c*n + 5 = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - 7. Let o be s(-3). Factor -2*h - 2 + o*h + 7*h - 8*h**2.\nAnswer: -2*(h - 1)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47324667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwr when three letters picked without replacement from qwrkrwwkkr.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 21. Let i(n) be the first derivative of n**4\/4 + 5*n**3\/3 + 2*n**2 + 2*n - 17. Let f be i(-3). What is the highest common factor of f and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (-110 + -71) - 57\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-17)*(255\/(-595))\/(72\/(-112))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:07 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-30) + (2\/(-1) - -2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**2*x**4 + u**2*x + u**2 + 45*u*x - u - 1730711*x**5 - 4443*x wrt x?\nAnswer: -24*u**2*x**2 - 34614220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6190740, -5, 8 in ascending order.\nAnswer: -6190740, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r - r**3 - 2 - 2*r - 2*r**2 - 2*r**3. Let w be b(-2). Let y = -1 + w. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 25*o + 486. What are the prime factors of x(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let q be ((-6)\/8)\/((-4)\/16). Suppose -5*n + 2 = d - 3*n, -5*d - 5*n + 10 = 0. Sort q, m, d in increasing order.\nAnswer: m, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -66*i - 138. Determine k(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most -8130632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 5 - 2)*(12 - 7 - 9) + (0 - 2 + 4)*(-6 + 4 + 0) + 1 + 0 + 1 + 1 - 2 - 1 + 4 - 3 + 1)*(2*x - 2 + 7 - 2) to r*x + t and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 6:49 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109281 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from hwgjjgwwgw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192910555 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -3*d**8\/112 + d**4\/24 + 2*d**2. What is the second derivative of l(s) wrt s?\nAnswer: -180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 16052*c**3 - 1966832*c**2.\nAnswer: 4*c**2*(c - 4132)*(c + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 19*u**2 - u + 22. Suppose 9*w - 4*w - 95 = 0. Let d be a(w). Let j be -2 - -9 - (-3)\/((-9)\/d). What is the greatest common factor of j and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0 + 8. Suppose -6*q = -4*q - 60. What is the remainder when q is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7494779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4))**8)**(-17)\/(s*((s*s**(1\/2))\/s)\/s*s**6*(s*((s\/(s*s**(-1)*s))\/s)\/s*s)**(-43)) assuming s is positive.\nAnswer: s**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**3 - 3*a**2 + 22*a - 73. Give z(3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15298923 is divided by 319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 37709 = 3*y + 37714, 2*y = -4*j - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jym when three letters picked without replacement from {y: 1, w: 3, x: 2, m: 4, j: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3276, 2852, 2428, 2004?\n\"Answer: -424*y + 3700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - 84*p + 168. List the prime factors of h(43).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least as big as -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3\/9 - 28*u**2\/9 - 34*u\/3 - 12 = 0?\nAnswer: -9, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:00 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -459 + 689. Suppose 50*r + p = 55*r. Calculate the remainder when r is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 122, -2, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44851*c**2 + 59750*c**2 - 104715*c**2.\nAnswer: -114*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84)*2 + sqrt(84))*4)\/(sqrt(768)*1 - sqrt(96)\/sqrt(2)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502412263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5332 less than -15103178594?\nAnswer: -15103178593.4668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 24*g**2 - 2*g + 2. Let x(c) = -5*c**2 - 1. Determine -i(r) - 6*x(r).\nAnswer: 6*r**2 + 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 368 - 143. Let w be (n\/(-18))\/(1\/(-2)). Suppose 3*k + w = -2*k, 0 = -4*y + 3*k + 91. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 432.\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -68. Let j(t) = -2154*t**3 + t. Is j(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:43 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30857 and -0.1.\nAnswer: -3085.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*i + 1868 + 2692 = 0 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118016*t - 118016*t - 1235*t**2 to q*t + x*t**2 + c and give x.\nAnswer: -1235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 334*j - 4672. Let r be a(14). Solve -2*y = 2*y + r*z - 24, 22 = 3*y + 5*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 1:07 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126 + 78 - 2*r - 161 - 2*r + 5*r - 2*r + (r - 5 + 5)*(5 - 2 - 1) to the form y*r + k and give k.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61540834, 123081667, 184622500, 246163333, 307704166, 369244999?\nAnswer: 430785832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3259 - -6035. What are the prime factors of n?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -58. What is the third derivative of -11*o**2 + 26 - 17*o**3 - 26 + o**x wrt o?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51904056 and 285472308?\nAnswer: 570944616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -22. Let g be ((1 - 0)\/(-1))\/(v\/3). Let j(a) = -4*a + 2. Calculate j(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 73724, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 0*a. Suppose a = -7*f + 12*f - 20. Suppose -u = -f*u. Solve 0 = 2*p + 2*d - 20, 4*p - 4*d = -u*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-324)\/(-1782))\/((-36)\/(-165))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -6\/5, -1199, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (-2 + sqrt(192))*-1)*-6 - (sqrt(324)\/sqrt(3) + -1*sqrt(21)\/sqrt(7)).\nAnswer: -101*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1973, -4234, -6781, -9614, -12733?\nAnswer: -16138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 46 * 13940\nAnswer: 641240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-10 - 1 - -21)) + (-140 - -241)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1215978 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-4 - -9 - 4). Find the second derivative of 7*a - 10*a**4 + 14*a + b*a wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 4*p + 16, -5*p = 2*b - 18 - 2. Let j = -24 + 23.89. Let i = j - -0.41. What is the smallest value in i, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.335 plus 136.24116?\nAnswer: 396.57616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-5)\/40*4*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.077 - 0.197. Let o be 10\/8 + 498\/(-332). Which is the nearest to -0.1? (a) q (b) -3\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/6 - 23*g**3\/6 - 21*g**2. Let x be j(-10). Find the second derivative of 13*v + 6 + 11 + 31*v**2 - x wrt v.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2336945*c*t**3 + 3*c*t**2 + 176540*c*t + 2*c wrt t?\nAnswer: -14021670*c*t + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -136 and 259454.\nAnswer: 259318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.93 + 0.07. Let v = s - -8. Let d = 7 - v. Sort 0, d, 1\/6 in descending order.\nAnswer: 1\/6, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3452 from 0.038.\nAnswer: 3452.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-130)\/7)\/(-5) - 2\/(-7). Suppose -m*i = 3*f - 24600004, -3*f - 11532863 + 36132858 = -5*i. What is f rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 525191?\nAnswer: 22\/525191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/3)\/2 - (-7809)\/99. Let x = y - 238\/3. Let f(l) = -5*l - 15. Let k be f(-3). Is k at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*n**2 + 257*n**3 - 25*n**3 - 21*n**2 + 1 + 2*n**3 - 1 + (-1 + 4 - 1)*(-3*n**3 + 3*n**3 - 2*n**3) to d*n**2 + o*n**3 + g*n + x and give o.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -119, -455, -1113, -2201?\nAnswer: -3827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 3, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 18 = -4*x. Let f(t) be the second derivative of t**5\/20 - 5*t**4\/12 - t**3 + t**2 - t. Calculate the remainder when 2 is divided by f(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -96 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 225*n + 5. Let d(i) = -337*i - 8. Give 5*d(r) + 8*u(r).\nAnswer: 115*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 197*g + 13. Let n(r) = 395*r + 27. Let p(c) = -4*n(c) + 9*o(c). Is p(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 6:46 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-39 - -33) + (1 - -3) - 16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4 or 2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 14, f: 1}. Give prob of picking 1 f and 1 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33177725 divided by 1327109.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(1210)*-2)\/(6*(sqrt(245) - (sqrt(245) + (-2*sqrt(245)*3 - sqrt(245))) - sqrt(245))))**2.\nAnswer: 968\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11555\/(-40)*-6 + 30\/40.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0016, -3\/4243, -31?\nAnswer: -3\/4243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p + 280. Let j = p + -378. Let h = 245 - j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*o - 51 = 0, 58*u - 54*u + o - 21 = 0. Solve 0 = 2*f + 2*z - 4, -4*z = u*f - 6*f - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.044 - 31.044. Let q = b - -31.000062. Round q to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1860645017?\nAnswer: 7, 11, 29, 31, 26879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -4, -1, 1 in ascending order.\nAnswer: -7, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4717, -9491, -14253, -18997, -23717, -28407, -33061?\n\"Answer: b**3 - 4781*b + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/24 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12904289 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9 + (-1)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 287 - 290. Let w be 15\/b - (12 - 16). Which is smaller: 2\/549 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*i + 27*i**5 - 67 + 67 wrt i?\nAnswer: 540*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -4*i + 3 - 1\/2*i**2. What are the prime factors of y(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + 11 + -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/56 (b) -4\/7 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 210339859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 47*o + 1. Is c(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -36*c**2 - 20*c + 7. Let x be 1\/((35\/10)\/7). Let n(z) = -12*z**2 - 7*z + 2. Let j(l) = x*i(l) - 7*n(l). What is the second derivative of j(k) wrt k?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1194*a**2 + 942*a**2 - 3*a - a.\nAnswer: 2136*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 24. Let u(v) = -2*v + 6. Let i(z) = -4*z + 5. Let x(h) = -h + 1. Let a(b) = i(b) - 3*x(b). Give f*a(y) - 3*u(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 7. Let t be g(9). Suppose 17 - 65 = -t*v. Let i be 9\/(9\/v*1). Calculate the highest common factor of 60 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 73554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303983 (base 15) to base 14.\nAnswer: -43899c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -871303*c**2 - 66*c + 170243461 wrt c?\nAnswer: -1742606*c - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3194 (base 12) to base 8\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54506 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000251662952 rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36549 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/4 + 7\/28. Find the third derivative of -2*l**4 - l**w - l**4 - l**2 wrt l.\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -176, -669, -1630, -3215?\nAnswer: -5580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 30*z + 0*z**2 + 64 + 0*z**4 + 0*z**3 - 11\/5*z**5. What is the first derivative of f(i) wrt i?\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.73 - 0.27. Let u = -9453282025\/29848 - -2533715\/8. Let k = u - 2\/533. Which is the biggest value? (a) k (b) j (c) -1\/3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:08 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1019*v - 1018*v = 2. Solve -20*o + 44 = v*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2013 and 428.15.\nAnswer: -861865.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/5, 1\/2, 4.89, -1\/3 in ascending order.\nAnswer: -1\/3, 1\/2, 17\/5, 4.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let t = 342 - 346. Let u be r(t). Is u >= -17\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (14 - 12) + (5 - (10 - -21))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 100*x**2 - 18 + 299*x**2 - 175*x**2 - 12 + 56.\nAnswer: 24*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 17468.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44646 and 969456.\nAnswer: 6786192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171831.\nAnswer: 3, 11, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*a + 5. Let d be 2 + 0\/(0 + a). Suppose -5 + 1 = -d*o. Solve -4*q + 3 = -3*h - q, o*q - 16 = -5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181 and 25159?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(13*y + 64*y + 360*y + 69*y) as x*y + w and give x.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 139*i**2 + 568*i + 663. Calculate j(143).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 2*i + 4, 19*s - 15*s - 3*i = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 1 - 1. Let w = 116 + -1290\/11. Calculate the common denominator of w and -1*41*j\/(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1751014.30000065 + -1751014. Let k = -0.7 + 1. Let s = k - i. What is s rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1616 divide 6126256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -202425 + -203?\nAnswer: -202628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 - 0.02\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -26631 + 13310 + 10*q + 231*q + 13308 in the form o*q + c and give o.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1814352 and 27952?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 5 = -9*f. Let u(v) be the second derivative of -v**3\/2 - 3*v**2 + v. Give u(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 2)*(365*f**3 + 27*f**3 - 91*f**3).\nAnswer: -2107*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*o = -96*o - 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-15))\/(6\/(-20)). Let d(u) = 1 + 3 + 2 + u + t*u. Let h(g) = -4*g - 5. Determine 5*d(r) + 6*h(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/56 and (-417)\/(-252) - (-1 + (-10)\/15).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 253, 206, 145, 70, -19, -122?\n\"Answer: -7*r**2 - 26*r + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(((-581)\/42 - -14)*((-3)\/(-12) - 1))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r + 26. Let a = -49 - -19. Let h = r - a. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/10 - -29\/30. Let k = 23.049 + -0.049. Let a = k - 24. What is the closest to x in -2\/7, 3\/2, a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 16*o + 57. Let n be t(-4). Let f(a) be the first derivative of 0*a**2 - 9*a - n - 10\/3*a**3. Differentiate f(v) with respect to v.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33120010033 - 1?\nAnswer: 33120010032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-51)*(-1)\/(2\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y. Let x(n) = -n**2 + 6*n - 4. Let h be x(4). Let i(r) = 1. Let s(o) = o + 4. Let c(a) = h*i(a) - s(a). What is l(c(k))?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, b: 2, a: 1, s: 1, z: 1, v: 6}. Give prob of sequence vv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2 - (-230)\/114). Suppose -13*a = -7*a - 12. Suppose a*t = u + 499, -t + 3*u = -z - 185. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 2. Let u be d(-5). Suppose u*c + 24 = 5*v, -1 = 3*v + 2*c - 4. Solve v = -0*f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 21 and 56 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11194013 is divided by 4492?\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 6*u = -15. Solve -2*l + u = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166 a factor of 94739832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-14)\/10 - -1). Let p be ((-4)\/10)\/(11\/q). Let k = -41 - -40. Sort k, p, -0.3 in decreasing order.\nAnswer: p, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2. Let a(r) = -15*r - 14. What is a(m(j))?\nAnswer: 45*j**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*11*(1 - 0). Let u(q) = 41*q + 57. Let x(b) = 5*b + 7. Let r(a) = 6*u(a) - 51*x(a). Let m(z) = 5*z + 8. What is o*m(p) + 6*r(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1714 at most as big as -42886\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -128, -1 in ascending order.\nAnswer: -128, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssbbdsbrdbhssdss. What is prob of sequence rshb?\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -7. Let z(x) = -16*x. What are the prime factors of z(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -1 - (-1 + -1). Suppose -3 = -3*z - 5*d - 17, -j*d - 10 = -z. Let k be 4\/22 - (-155)\/55. Solve -k*w = z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2199 + 2199 - 282*c**2 + (-3 + 0 + 2)*(3*c**2 + 2*c**2 - 2*c**2) + c**2 + 0*c + 0*c to the form r*c + b*c**2 + z and give b.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 24, 43, 68, 99, 136, 179?\n\"Answer: 3*j**2 + 4*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20276, 3, 4.\nAnswer: -20276, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 587 + -26502?\nAnswer: -25804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 87284.2 minutes in microseconds?\nAnswer: 5237052000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 3, -3\/10, 647 in descending order.\nAnswer: 647, 3, -3\/10, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b**2 - 7369 + 7369 - 3*b.\nAnswer: 37*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-6) + 30\/4. Suppose -w*d + 3*d = -18. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**4 + 140*p**3 + 1090*p**2 + 1300*p - 2535 = 0.\nAnswer: -13, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10234103 - 211?\nAnswer: 10233342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 1, k: 1, c: 2, h: 1, o: 1}. What is prob of picking 1 j and 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l + 6*l + 12*l + 23*l - 5*l.\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4371 - -18364. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + -1 + (sqrt(108)*6)**2.\nAnswer: 3*sqrt(3) + 3887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100412234 - -3?\nAnswer: 100412242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 91*p - 116*p + 911. Solve 37*w - 191 = p for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173*y**3 + 2417*y**2 + 45864.\nAnswer: 519*y**2 + 4834*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372698 (base 13) in base 4?\nAnswer: 11002012223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4390 by 878.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 688 + -680. Suppose 12*j - o*j = -f + 115, 3*f = -5*j + 310. What is the greatest common divisor of f and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*w = -g - 26, 6 = 3*w. Suppose -16*u = -19*u + 27. Suppose 3*r + u*r = 12. Is r bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from leqelqeqllyjlqyqqy. Give prob of sequence qeye.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1\/85 (c) 5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 2*t**2 + 4*t - 4. Let m be l(4). Let f be (7 - ((-30)\/(-165) + 95\/22))*-34. Which is bigger: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 1, f: 5, u: 1, z: 1}. What is prob of picking 1 l and 1 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 201*c + 2844.\nAnswer: -3*(c - 12)*(c + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*d**3*g + 2*d**3*l + 2*d*g**2 + 2144*d*l**2 - g**2*l - 95*g**2 with respect to l.\nAnswer: 2*d**3 + 4288*d*l - g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -467\nAnswer: 5\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + -1 + 0 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14015*i**3*k*w + 2*i**3 - i**2*k*w + 255*i*k*w + 4*i*w - 2*k*w - k wrt i?\nAnswer: -84090*i*k*w + 12*i - 2*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4423442 (base 7) to base 13\nAnswer: 160730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4203 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m = -15. Let p be (-10 + 8)*1\/2. Let d be 11 - m - (1 + p). Solve -3*v + 0*v - 5*w = -d, 4*v = 5*w - 36 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y - 5. Determine k(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-688)\/(-602) + (354\/(-2184) - 1).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let h(q) = 6*q + 8*q - 17*q + 15 + 4*q. List the prime factors of h(v).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/3 + (-4 - (11 - 16)) - -37. What is the greatest common factor of 6357 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18812992 to the nearest integer?\nAnswer: 4337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4786\/16911 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by -38\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 596\/10 - (-2)\/5. Let w(m) = -15*m + 1. Let t be w(1). Let r = 29 + t. What is the greatest common factor of a and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-814 - (-1 - -5)) + 2. Let n = q + 1180. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1574 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*h + 1 - 1.\nAnswer: -47*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3387 is divided by 38?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5976017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000097336 rounded to 7 decimal places?\nAnswer: 0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 988*t - 991*t = -6, -21 = 2*m - 3*t. What is the nearest to -1\/5 in m, -1\/10, -84?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 785 divided by 1.\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-24)\/(-2520))\/(3\/(-54))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11765.4 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5592 = 399*b - 5401 - 179 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185770288 a multiple of 2552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -954b (base 16) to base 5\nAnswer: -2210334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/108 and 138\/(-5292)*-7 + (-3)\/9?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 235 or 11959?\nAnswer: 11959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562 a factor of 15057680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 719, 1544, 2669, 4094, 5819, 7844?\nAnswer: 10169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -2 (b) 6 (c) 3 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 128*m - 6*m**2 + m**2 - 128*m in the form u*m**2 + p + y*m and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3\/11, -0.07 in ascending order.\nAnswer: -0.07, 3\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 26*j - 116. What is r(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 13 = 4*m, g + 69 = 64. Let a(t) = -3*t**2 - 3*t + 4. Let q(j) = -4*j**2 - 3*j + 5. Determine m*a(r) - 2*q(r).\nAnswer: -r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 11:56 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.04, 32193, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 22*v**2. Let p(l) = 55*l - 2. Let k(j) = 37*j - 3. Let m(q) = 3*k(q) - 2*p(q). Determine m(n(t)).\nAnswer: 22*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3620276 - 10?\nAnswer: -3620286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -9, -4, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1031, -4181, -9443, -16811, -26279?\n\"Answer: i**3 - 1062*i**2 + 29*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66955681 and 260.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3012 and 22595376?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -92997 (base 11) to base 5\nAnswer: -13320001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -5 (c) -3\/5 (d) 980\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -3*f + 2*i, -2*f + 2*i + 141 = -35. Suppose 0 = -3*d - f + 29. Let b = 33 - d. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403 is divided by 159.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4191332.\nAnswer: 2, 1047833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*y - 991 - 29 = -292*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/2 - 21428*p + 229579592 = 0. Calculate p.\nAnswer: 21428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-18))**(-18)*y**(-5\/3)*y\/(y**27*y)*y*y*y assuming y is positive.\nAnswer: y**(895\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgzgddqrfgd. Give prob of picking 1 f and 1 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 6*r + 4. Let d be (14 + 0)*8\/16. Calculate f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 26490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353318.\nAnswer: 2, 7, 25237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8394 less than -330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.326 in 7, 167, -2\/15, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -39. Let h be -20 + f - (0 - 2). Let k = h - -42. Sort k, 0, 12 in decreasing order.\nAnswer: 12, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - sqrt(104)*2)*6 - sqrt(104))\/sqrt(8).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0032135304 to 4 dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*i**4 + 6512*i**3 - 7490*i**2 + 1036*i + 320 = 0. Calculate i.\nAnswer: -1\/7, 10\/27, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*h**2 + 54*h**3 - 7*h**2 + 132*h**3 - 7*h**2 - 2*h - 13*h**2 in the form w + g*h + t*h**2 + x*h**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9 + -4.6. Which is the smallest value? (a) m (b) -1 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 197131 + -197130.1999952. Let k = -9.2 + 10. Let i = k - v. What is i rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 771 and 157382174.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, b: 1, e: 3}. Give prob of picking 1 g and 1 b.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**8\/i)\/i**(5\/4))\/(i\/(i\/(i*i\/((i**(-9)*i)\/i)*i)*i)*i\/i**6) assuming i is positive.\nAnswer: i**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 n when four letters picked without replacement from {i: 7, w: 9, n: 3}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7079703*c - 26. Let d(u) = -u. Determine w(d(o)).\nAnswer: 7079703*o - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 792 and 40194?\nAnswer: 160776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**4 - 6*u**2 + 9*u**4 - 2*u**2 + 7*u**3 - 21*u + 1 + 8*u**2 as r*u + o*u**3 + p + f*u**2 + l*u**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -802*u**2*v**3 - 755*u**2 - u + 286*v**4 + 57 with respect to v.\nAnswer: -2406*u**2*v**2 + 1144*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -31, -2466, 5, 0.8, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 + 54. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, 52268, 0, 1\/4, 1\/3 in decreasing order.\nAnswer: 52268, 1\/3, 0.3, 1\/4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*j + 4)*(2*j**4 - j**3 + j**3) + (j**2 - 1 + 1)*(j**3 + j**3 - j**3).\nAnswer: 7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5980, 1511, -5934, -16355, -29752?\nAnswer: -46125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/105)\/u)\/(u\/(u\/(u**(1\/12)*u))*u) assuming u is positive.\nAnswer: u**(-429\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 775 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101212 + -10232?\nAnswer: 30320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*h - 10717955 - 6722041 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3173042?\nAnswer: 2, 1201, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-594)*-3*4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 235961.\nAnswer: 2\/235961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3640 and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/15 - (-22)\/20)*1. Let q be 5\/((-2)\/(-2)) + 0. Which is the nearest to -1\/4? (a) q (b) -2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/153 or 0?\nAnswer: -26\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30447076.7 rounded to the nearest one thousand?\nAnswer: -30447000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbl when three letters picked without replacement from ablallbaaballb.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2)*-2 + 7. Let x be (-3 - -4)*(-2 - -6). Is i > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865509927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 11*k + 3*k. Let l = 20 - 18. Let r(p) = -l*p - 2*p**2 - p + 3*p. Calculate r(q(w)).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o - 38*o - 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 6\/11, 4, 33\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:41 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1113308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/9)\/((-1)\/924). Let m = 37053 - 37031. Calculate the greatest common divisor of m and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 2*b + 4*b + (b + 0*b - 2*b)*(-2 - 1 + 5) + b + 0*b + 0*b - 22*b - 3020 + 3020)*(-53 - 12*b**4 + 53).\nAnswer: 300*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -682, 0 in increasing order.\nAnswer: -682, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -462*j + 26030. Determine d(56).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13*t**3 - 8*t**2 - 9*t + 4. Let h be o(-2). Solve -h*k + 96*k = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9513639098 from -0.41.\nAnswer: -9513639098.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = 2*o, 33*o - 21 = -5*q + 32*o. Let b = -4 + 4.4. Sort q, 3, b in descending order.\nAnswer: q, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/3 - 3708*h**2 + 10282220*h + 496398400\/3 = 0 for h.\nAnswer: -16, 5570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 - 1223*d + 4853. Give h(4).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3 + sqrt(39)\/sqrt(3) - sqrt(91)\/(sqrt(21)\/sqrt(3))) + 4)*5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2, -1, -4 in increasing order.\nAnswer: -15, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4767394 and 897.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3457*o**3 + 3126*o + 3 wrt o?\nAnswer: -20742*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 37c1 (base 16) to base 3\nAnswer: 201120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16112 + 16111.7. What is the second biggest value in -5, 7, m, 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19758, -19763, -19772, -19785, -19802?\nAnswer: -19823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11752759+-86.31\nAnswer: -11752845.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 95*g**3\/3 + 4. Let r(b) = 20*b. Let s(l) = -3*l. Let n(y) = r(y) + 6*s(y). Give v(n(q)).\nAnswer: 380*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhvvvvhhhvvv. What is prob of sequence hv?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**6\/40 + 3*l**4\/8 + l**3 - 13*l**2 - 2*l - 36. Let h(y) be the first derivative of f(y). Solve h(m) = 0 for m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84674 is divided by 84668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354.1751 hours to microseconds.\nAnswer: 1275030360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*y = 124, -2*y + 20 = -7*y. Suppose -h - g + 44 = 0. Solve 0 = 2*d - h*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*l**3 + 156*l**3 - 306*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 12:36 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.6360825 microseconds?\nAnswer: 0.000000010601375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + 2*q - 2 + (-4*q + 18*q + 14*q)*(-1 - 1 + 0))*(1 + 3 + 9).\nAnswer: -702*q - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 6 = -116. Sort -4, u, 4, 3.\nAnswer: -4, 3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -159*c + 1236 - 759. Find m such that c*m - 12\/5 - 3\/5*m**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*p, -2 - 7 = -5*s + p. Let m(y) = -y**3 + y**2 + 1. Let c be m(0). Solve -s*l = -l - c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 28*k = -602. What is the remainder when 204 is divided by k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*h + 16 = 0, -6 = 7*h - 10*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 924 and 71412?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -118, -192, -296, -430, -594?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226.248 rounded to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3996.7 minus -0.2?\nAnswer: -3996.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 679604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r - 2. Let b = 150 + -145. Calculate g(b).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (-1*sqrt(108))**2)*4 - sqrt(108)*1*2.\nAnswer: -432 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8544.2 + -0.06.\nAnswer: -8544.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1277*s + 1031*s - 7119 - 999 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 253*u**2 - 11*u - 15?\nAnswer: 506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-568)\/(-213))\/((-308)\/63)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z + 2. Let x be a(-2). Let w be 2\/((-16)\/x)*132. Suppose -4*s - 31 + w = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1132121 - -300?\nAnswer: -1131221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3194 = 14*g + 3012 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 770 + -762. Suppose 64 = 2*i + 2*i. Calculate the highest common factor of i and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 51. Suppose -r*v = -9*v + 12. Find the second derivative of 31*l**4 - 12*l + 0*l**v - l - 14*l wrt l.\nAnswer: 372*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -190, -727, -1596, -2779, -4258, -6015, -8032, -10291?\n\"Answer: 3*i**3 - 184*i**2 - 6*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 2. Let l be d(4). Suppose 5*g - 18 = r, 3*g + r = -2*r + l. Calculate the greatest common divisor of 36 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28174524 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10177740497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(8) + sqrt(40)\/sqrt(5)) - sqrt(35) - (-2*sqrt(140))\/sqrt(4))\/(sqrt(320)*2 + sqrt(40)\/sqrt(128)).\nAnswer: 6*sqrt(7)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178349 = -5*d + 3*n - 18415, -d = 2*n - 31979. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3))**46\/(c*c**6*c)**(16\/7) assuming c is positive.\nAnswer: c**(-1094\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d\/d**(5\/2)))**(-5)*(d*d**(-5\/6)*d)\/(d\/((d\/((d*d\/((d\/(d\/(d*d**(-2\/27))))\/d)*d)\/d))\/d)) assuming d is positive.\nAnswer: d**(-389\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24684737 and 704781.\nAnswer: 8701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 370, 554, 738?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 - 1138*m**2\/7 + 161310*m\/7 + 162450\/7.\nAnswer: 2*(m - 285)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2 - (-11 + 4)) + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*u + 1 + 13 - 18*u to y + c*u and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -476115, -952129, -1428143, -1904157?\nAnswer: -2380171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29026484143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, 3, 0.04, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-14))\/((-168)\/15792)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (8 - (7 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, h: 3, m: 3, q: 2, n: 2}. What is prob of sequence mmm?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 9) + 28 + -26 + 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1993815?\nAnswer: 3, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 39*i**3 + 21*i**2 - 21*i - 21. Let j(v) be the first derivative of -2*v - v**2 + 2\/3*v**3 + v**4 + 68. Determine -21*j(l) + 2*r(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -2, 1, -3, -123, 62 in descending order.\nAnswer: 62, 5, 1, 0, -2, -3, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 39*g + 16)*(-5 + 4 + 2) + 5*g + 5*g - g in the form y*g + k and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 4. Let m(v) = -v - 1. Let o(x) = 4*m(x) - n(x). Let r(z) be the third derivative of -z**5\/60 - 13*z**2. What is r(o(j))?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-30))\/((-13)\/(-10530)*45).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129 + 145. Suppose 5*c = -6 + u. Let s(b) = -2*b**2 + 4*b - 2. What is s(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17, -110, -351, -812, -1565, -2682, -4235?\n\"Answer: -12*x**3 - 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0661912311 rounded to 6 dps?\nAnswer: -0.066191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-12 + 1) - (-6 + (4 - (1 + -47)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27745485337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 32*m**2 - 10. Let l(z) = 2*z**2. Determine n(l(g)).\nAnswer: 128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (3 - (-18)\/(-3)). Suppose -i + 68 = 2*k, 3*i + 109 = -d*k + 313. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -13 + 6 - (-11 - 8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 117 = 3*d + 4*m, d + 45 = 2*m. Which is smaller: -46 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753150931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2058*j - 1167*j**3 - 222*j**3 - 2058*j.\nAnswer: -1389*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8) + (273\/6 - -2). Let b = -40 + h. Suppose 6*s + b*s - 364 = 0. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75158 * -6\nAnswer: 450948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 27 = 0, -143*z + 4*v = -140*z - 1494. What is the smallest common multiple of z and 54?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91*0.10705.\nAnswer: -9.74155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2 = -2*x, -x = -7*n + 3*n + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*b - 2277*b - 4283*b = -265926 + 54282 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 53\/5 of a tonne?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1366 + 1365.9494585. Let y = 0.6605995 + v. Let j = -0.61 + y. What is j rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1082 or -1083?\nAnswer: -1082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 0*j**3 + 0 + 95\/12*j**4 + 9*j**2 - 20*j. What is the derivative of y(p) wrt p?\nAnswer: 190*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 8*i - 34. Calculate the remainder when r(5) is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33135b (base 12) in base 15?\nAnswer: -110425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -581*s + 94. Is n(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1470, 2922, 4374, 5826, 7278?\n\"Answer: 1452*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-185)\/35 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/(-30))\/(1\/5). Suppose o = s - 16. Let w = s + 6. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c + 12. Let o = 1389 - 1387. Let a(w) = 2*w - 3. Determine o*d(t) + 9*a(t).\nAnswer: 4*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*s + 15. Let f = -27 + s. Suppose 0 = y + 2, -z + y = 1 - 6. What is the least common multiple of z and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-3))\/((-38)\/57)*52\/130\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2\/3 - 1099775*k\/3 + 37398130\/3.\nAnswer: -5*(k - 34)*(k + 219989)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -516 + 111. Let l = f + 736. Suppose 4*j - l = -27. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 2:06 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 4*i - 132 - 7*i + 107.\nAnswer: -11*i - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/59 and -43\/8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2465, 0, 3, 4 in descending order.\nAnswer: 2465, 4, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 39\/10?\nAnswer: 39\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.175?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 28\/59, 79, -0.01, -11 in decreasing order.\nAnswer: 79, 28\/59, -0.01, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 54038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.94 + 0.94. Sort 7, p, 2 in descending order.\nAnswer: 7, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, and 1 d when three letters picked without replacement from wwmdwwwwdw.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 126, 189, 252, 315, 378?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 2302?\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -b + 7, b - 3*b = 2*y - 8. Suppose v - 32000000 = b*v. Round v to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10945897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 10, -4*h + 5 + 11 = 4*n. Suppose 5*m + 3*z - 1453 = 0, -5*z + h*z = -4*m + 1156. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c - 3. Let q be u(-1). Suppose -q*h + 83 = -117. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 1965. Let h(b) = -15*b. Determine p(h(w)).\nAnswer: 450*w**2 - 1965","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28314947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51918.49 weeks in hours?\nAnswer: 8722306.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62599667943643 - -2.\nAnswer: -62599667943641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/26)*y)**(-1\/16) assuming y is positive.\nAnswer: y**(-25\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3244402436 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 22.24951?\nAnswer: 2.224951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**3\/9 + 37*s**2\/6 + 26*s + 632. Solve h(r) = 0 for r.\nAnswer: -2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69898003?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 10*b**2 + 10*b + 14. Let k be g(11). Suppose -2*i + 2 = 3*a, -2*i = -5*i + a + 3. Let h = -51 + 44. Sort i, h, k in descending order.\nAnswer: k, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 4424551\nAnswer: 884910.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 319 and 1421.\nAnswer: 15631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/(-220)*12\/21?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 2}. Give prob of sequence ff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1 - 1 - 2*w. Let g(v) be the first derivative of 0*v + 8 - 3\/2*v**2. What is h(g(c))?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 11 - 18)*(4*g**2 - 4 + 188*g - 188*g - g**4).\nAnswer: 21*g**4 - 84*g**2 + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8332 = 53*f + 9710 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.31 and 0.88.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.275 - -0.375. Which is the closest to z? (a) -1\/4 (b) 3 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 - 26*z**3 - 458*z**2 - 1630*z - 1200 = 0. Calculate z.\nAnswer: -5, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2 + 506566810*g - 506566808 = 0. What is g?\nAnswer: 1, 253283404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 12 = -3*b, -b + 4 = y - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**18*q*q*q**(-10) assuming q is positive.\nAnswer: q**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1492)\/(-20) - (-15)\/(-25). Let f = 2 - 60. Let l = k + f. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3 = 55*i - 52*i, 39*y = 2*i + 162 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7b992 (base 13) to base 6\nAnswer: -4501022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 584215 rounded to the nearest 1000?\nAnswer: 584000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 3528.\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1018*o**2 - 13*o - 63. Let v(q) = 1021*q**2 - 11*q - 53. What is 6*v(g) - 5*y(g)?\nAnswer: 1036*g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 2*k**2 + k - 2. Let w be r(2). Suppose 2*m + m - 291 = w. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 1. Suppose 42*n - 258 = -6. Let w(j) be the first derivative of -4*j**2 + 4*j - 3. Determine n*o(s) - w(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24941 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 4*n**2 + 1. Let f(m) be the third derivative of 0*m + 1\/20*m**5 + 0 + 0*m**4 + 65*m**2 - 1\/120*m**6 - 1\/6*m**3. Determine -4*f(t) - 3*j(t).\nAnswer: t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3669 and 1341?\nAnswer: 1640043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 171*q - 173*q + 1602. Let n = -491 + q. What are the prime factors of n?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y**2 + 1145*y + 17593. Determine r(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, b: 13}. What is prob of sequence pb?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 + 107*k + 2419. Give v(-15).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-2 + 3 + -12 + -12)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205 + -1262 - (-24 - -1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 7*g. Suppose -9*t + 5*t = 3*f - 21, -3*t = 2*f - 16. Let y be v(t). Suppose -y*b = -2*b - 12. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5148)\/45 - 2\/(-5). Let r = -57 - j. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 21. Suppose 5*t - 1225 = q*m - 355, 4*t = -m + 679. Suppose -3*p + t = -66. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001031332312 - -3?\nAnswer: -1001031332303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-630)*-15*1\/(-1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -27*r + 2. Let d be v(-1). Suppose -2*y + 3 = -d. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0839 * -11824.\nAnswer: -992.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0. Let p = w + -0.1. Let r = 199330.1 - 199330. What is the closest to r in 5, 2\/11, p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h. Let w(r) = 5*r. Let u(b) = -6*l(b) + w(b). Let n(x) be the first derivative of 2*x**3\/3 + 1. Give n(u(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -335343, -335390, -335437, -335484?\n\"Answer: -47*d - 335296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.6 (c) 122 (d) -2\/7 (e) 4416\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 961\/910 - -326\/65. What is the common denominator of q and (-94)\/32 - (-1)\/(-4)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -119*k**5\/60 - 67*k**3\/6 - 26*k**2 - k. What is the first derivative of l(q) wrt q?\nAnswer: -238*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4 = -2*d, -250*d + 248*d + 4 = -9*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 23 = 4*w, -w + y - 3 = 2*y. Factor -29 + c**2 + 3*c**2 + 100*c - 7*c**w - 188*c.\nAnswer: -(c + 29)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 829344*k - 829364*k - 400 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -11*w - 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-12)\/(2 - -1). Suppose 0 = 3*t + 2 - 8. Let n be (t - 3)*1*-3. Solve f*p - 10 = -n*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 14*l**2 + 101*l + 84. Let d be r(19). What is the greatest common factor of 550 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**4 - g**3 - g**2 + g - 1. Let x(w) = 4*w**5 + 51*w**4 + 176*w**3 + 204*w**2 - 60*w - 4. Let v(q) = 4*c(q) - x(q). Find p such that v(p) = 0.\nAnswer: -4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2. Let y(t) = 193*t**2. Calculate y(m(w)).\nAnswer: 193*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.331, -43, 3 in increasing order.\nAnswer: -43, 0.331, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.76 and 1.3?\nAnswer: 0.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 30028347300.\nAnswer: 30028347300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/168 and -5\/85656?\nAnswer: 599592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1159, 1175, 1193, 1213?\n\"Answer: a**2 + 13*a + 1145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((182\/4)\/(-13))\/((-48)\/(-58752)*-42).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*f**4 - 451*f**2*g + f*g - g - 26266 wrt f?\nAnswer: -20*f**3 - 902*f*g + g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 318075787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 3*t**4 + t**3 - t**4 + (5 - 5 + 5*t)*(-6*t**3 + 0*t**3 + 0*t**3) + (-3*t**2 - 2*t**2 + 6*t**2)*(4*t - 4*t - 2*t**2).\nAnswer: -33*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -254*p**2 + 242*p**2 - 419 + 123*p + 419 in the form f*p**2 + q*p + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 5*i**2 - 4*i**2 + 5*i**2. Let n(j) be the third derivative of j**5\/60 + j**2. Determine n(p(f)).\nAnswer: 64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 25. Let t(h) = -h - 10. Let l be t(-7). Which is the nearest to k? (a) 5 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -179? (a) 0.3 (b) 914 (c) -9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 74, 118, 160, 188, 190, 154?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/35274 at most as big as 1.25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(13))*5 - (sqrt(52)\/sqrt(4) + -4))*4)**2.\nAnswer: 512*sqrt(13) + 3584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 211868243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -181?\nAnswer: 72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010976272935 to 7 dps.\nAnswer: 0.0001098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -398850280 by -49856285.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67793.\nAnswer: 11, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139\/3 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b - 7. Let h = -8 + -3. Let w = -6 - h. Let r(z) = 5*z + 4. Determine w*r(s) + 3*i(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 219945698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2))**(-26)*a*a*a**5*a\/a**(1\/2))**3 assuming a is positive.\nAnswer: a**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 260 (b) 1\/4 (c) 0.1117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 1432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w. Let f(h) be the second derivative of 0 - 3\/8*h**4 - 9*h + 0*h**3 + 6*h**2. Let c(v) be the first derivative of f(v). Calculate c(t(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 9 - 9*g - 6*g to r + m*g and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2240 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/28)\/((-172)\/42 + (-24)\/(-9)). What is the closest to -2 in k, -2\/9, 2, -0.06?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10013 divided by 2.\nAnswer: -10013\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13\/(-130))\/(10\/25). Let s = 772\/5 + -155. Let k = 2 - 1. Which is the closest to k? (a) 3 (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -77*k**5\/60 + 6*k**2. Let p(j) = j - 7. Let m(v) = -4*v + 21. Let u(y) = 2*m(y) + 6*p(y). Determine u(o(i)).\nAnswer: 154*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -397 - -6357\/16. Find the common denominator of b and -87\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 15*q**2 - 46*q - 15. Let o be t(9). What is the highest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1788*z + 1585*z - 398*z - 51*z + 585*z as d + h*z and give h.\nAnswer: 3509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2086 * 3.\nAnswer: 6258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*p - 425, -5*p - j - 2*j = 420. Find the common denominator of ((-9)\/p)\/(2\/(-59)) and -91\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 8*m - 11. Let n = 11 - 5. Let f be l(n). Which is the smallest value? (a) -0.2 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-15))\/(14\/36*(81\/28)\/27).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 72025*a + 28. Calculate m(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 35*u**3 + 7*u**2 - 61*u + 1085. What are the prime factors of i(12)?\nAnswer: 13, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 1 - 1)*(-14 + 14 - 7*b**3).\nAnswer: -21*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -113, -556, -2573, -6950, -14473, -25928, -42101?\n\"Answer: -131*w**3 - w**2 + 477*w - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*b - 2*b = -10, -2*g - b + 7 = 0. Let o(i) = -12*i + 31. Let l(q) = 2*q - 3. Let h(x) = 4*l(x) + o(x). What is h(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125 - -129. Let t(o) = -2572 + 2572 + f*o. Let q(u) = -11*u. What is t(q(p))?\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 5 + 2 - 10*n - 8 + 8 to u*n + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(2\/7)\/(k*k**0)**(-15) assuming k is positive.\nAnswer: k**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3971910 is divided by 255?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzimyzymmmpmmsii. Give prob of picking 1 y and 1 s.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzppqpqqpqpzqqqzpf. What is prob of sequence qpzq?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxxxjddxxedjjxd. Give prob of sequence ddj.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*a - 4*v, 6*a - v - 4 = 3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0 - (20 + -36 + 6 + 46 + -43)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 452*a + 12. Let i(m) = m**2. Give i(w(l)).\nAnswer: 204304*l**2 + 10848*l + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 13*g**2 + 4 - 17*g + 13*g**2 + g**3 to the form j + a*g**3 + m*g**2 + b*g and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 46 and 41 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 1:04 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 9*z**5\/5 + 88*z**4\/3 - 238*z**3\/3 + 44*z**2 - z + 68. Determine m, given that c(m) = 0.\nAnswer: -11, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.257*-54\nAnswer: -13.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 14 = 10*d - 4*g, -3*g - 6 = -4*d. Solve -d*u = -2*y - 3*y + 7, 3 = 3*y - 3*u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 5*c + 9\/2*c**2 + 5 + 1\/12*c**4 + 0*c**3. Let i(w) be the first derivative of m(w). Find the first derivative of i(n) wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 - 5 = -5*g, 3*y - 5*g - 37 = 0. What is the remainder when 34 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6250 + -6250.1. Which is the nearest to -3? (a) -12\/7 (b) 1 (c) f (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -3\/14*r**7 - 18*r + 0 + 0*r**5 + 0*r**3 + 0*r**6 + 0*r**2 - 1\/2*r**4. Find the third derivative of m(k) wrt k.\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -2*w + 4*t, 4*t + 103 = 5*w - 4*w. Suppose -5445 = 10*p - 15*p. Calculate the remainder when p is divided by w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132587827?\nAnswer: 4969, 26683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 3090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + -404732?\nAnswer: -404763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4 - 21523*c**3 - 4789*c**2?\nAnswer: -48*c - 129138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*j = -670588 + 647341 for j.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11313 (base 7) in base 15?\nAnswer: cd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -5*m - 20, -5*k + 186*m = 182*m - 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**5\/20 - 25*k**4\/12 + k**3\/3 + 45*k**2\/2 + 105*k + 4. What is n(-25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389180723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -33*x + 4. Let i be a(-2). What is the greatest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1042820, 2, 1, 6 in decreasing order.\nAnswer: 1042820, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 69375400 divided by -6937540\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(2 - 5 - -1). Suppose 4*c = -3*u - u + 20, -3*u - 20 = -y*c. Find the second derivative of 4*o**2 - 7*o**2 + 3*o + o**2 + c*o**2 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21468 by 5.\nAnswer: -21468\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 38. Suppose -b + z = -0*b. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iliiiiiiiiiiiiliiii.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 13443972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-115)\/25 + (-72)\/(-120). Which is the nearest to g? (a) 2\/13 (b) -0.205 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.103 + 18. Round u to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -38*q**2 - q**3 + 46*q**2 - 4*q - 2*q + 2 + 3. Let l be g(5). Calculate the common denominator of -61\/16 and (l\/(-120))\/((-1)\/(-14)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*x + 216 = 17*x + 42*x. Solve -5*i = 3*g + 17, -11*g - 3*i = -12*g - x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-5))\/((-212)\/1590). Solve 4*h + 1 = 2*y + 3, 0 = 5*y - p*h + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/2, 1.9, 1\/45219?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 663 + -659. Solve 0 = -3*k - 0*g - 3*g + 9, g - 9 = -q*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 4, z: 2, h: 3, q: 1, s: 3}. What is prob of sequence zsq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6 + 9 + 143*v**3 - 4. List the prime factors of o(1).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 28 = 2*a, -2*s = 3*a - 2*a - 32. Suppose s = 5*c - 7. Suppose -c*k - 5*j = -3*k - 13, -2*j = 2*k - 16. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 14 = -2*u, -9 - 7 = -u - 3*y. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215 - -421. List the prime factors of g.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 15*k - 196. Let p be (11\/(-2))\/(2*(-1)\/k). Calculate the greatest common factor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.328362999 + 306.\nAnswer: 311.328362999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -297, 226, -2, 2, 1 in ascending order.\nAnswer: -297, -2, 1, 2, 5, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 47096220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-56) + (114060\/(-7))\/(-10). What is the greatest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5542 and 190384.\nAnswer: 3236528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 340881 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**2 + 3*w - 1. Let l be v(2). Suppose 5 - 67 = -2*u. Let g = u + l. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 1 + 0 - 3*f + (53 - 35 - 141)*(5*f - f - 2*f) as n + c*f and give c.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/11 + (-70)\/(-22). Let f be (-8*(-4)\/(-24)*3)\/2. Sort -0.4, -0.5, h, f in decreasing order.\nAnswer: h, -0.4, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4485963245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*((-1 - 4*p + 1)*(3 - 2 + 4) - p - p + 0*p)*(-3*p**2 + 5*p**2 - p**2) to d*p + b*p**2 + l*p**3 + h and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 187 - 172. Let r be 6\/c - (0 + 65\/(-25)). Solve -3*k + 19 - 6 = -j, r*j - 9 = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**4\/5 - 4*p**3 + 42*p**2\/5 + 92*p + 80 = 0.\nAnswer: -10, -4, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2821*x**2 + 6306*x?\nAnswer: -5642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -69*k. Let c(m) = -70*m - 1. Calculate -3*a(v) + 2*c(v).\nAnswer: 67*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 0*s**4 + 2*s + s**2 - 45 + 2*s**4 - 53 - 25 to w*s**4 + g + u*s**3 + k*s + a*s**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11\/63 + -2\/7. Let i = 0 - -1.4. Let v = -0.4 + i. Sort -2, v, b in increasing order.\nAnswer: -2, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + -34 + 102 + -40 + 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 11 + -37 + -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2913 and 9900316.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.36 + -37.9. Let h = b - -17.3162. Round h to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.3*-0.1.\nAnswer: -3.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4268 divided by -11.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(42)\/sqrt(3) + sqrt(70)\/(sqrt(5)*2))\/(-4*(2*sqrt(7)*-1 - sqrt(112)*4))*5.\nAnswer: -25*sqrt(2)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 29792131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-13)\/(-2))\/((-3)\/(-66)). Suppose -16*j + 99 + 109 = 0. What is the greatest common factor of j and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -517, -359, 3 in descending order.\nAnswer: 3, -359, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*1\/(-22)*-4. Let u = 3.05 + -0.05. Let w = u + -2. What is the second biggest value in 0.5, k, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462911787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 + 9*b**2 - 14*b**2 - 139.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 4*w - 25, 2*w + 11*b = 8*b + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-84)\/105)\/(38\/(-5))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 570790.53 nanoseconds to hours.\nAnswer: 0.000000158552925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -2\/3 (c) 2.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06 and 2487450294606.\nAnswer: 2487450294605.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 608621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 - 135.06. Let r = -0.06 - x. Which is the closest to r? (a) 0.3 (b) 1\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*o + 69*o = 69 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134626591 is divided by 193429.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.969993, 7\/3, 1 in descending order.\nAnswer: 7\/3, 1, 0.969993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 9 + 16. Let b(u) = -u**2 - 6*u + 3. Let l be b(a). Determine t so that l - 8*t + 4*t**2 + 14 - 18 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 5*n + 7. Let v(t) = -3*t**2 - 9*t - 5. Let d be v(-3). Calculate c(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -130402212?\nAnswer: -130402212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(8) + 5*sqrt(288) + 4)**2.\nAnswer: 496*sqrt(2) + 7704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.312 + 1.24. Let u = x + -8.938. Let p = 13.6 + u. Round p to 1 decimal place.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-6))\/(-8) - (4 - 0 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.67 + -12.57. Sort 1\/7, g, -2\/3, -1, -1.1 in decreasing order.\nAnswer: 1\/7, g, -2\/3, -1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 + 1\/4. Let a be 54\/15 - 2\/(-5). Put 1, a, k in decreasing order.\nAnswer: a, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -152*z + 148*z + 36, -2*m - z = -37 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.23367 * -0.168.\nAnswer: 4.74325656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49914 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 116. Suppose -4*z + 4*c = -32, 3*c - g*c = 5*z. Solve z*u + 4 = 0, -h + 4 = 2*u - 3*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + l**2 + 2. Let d(y) = -1715*y**3 + 30*y**2 + 60. Determine 30*c(w) - d(w).\nAnswer: 1685*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 6:15 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**6\/120 - k**5\/60 - k**2 - 2*k. Let w(t) be the first derivative of u(t). Find the third derivative of w(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b = -3*f + 12, 4 = f. Suppose -3*h + 4*c - 14 = -0*h, -3*h + 2*c = 4. Let p(k) = -k + 1. Let o be p(h). Is b != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*x - 3 = 0, s - 13 + 6 = -x. Suppose 5*b - s = b. What are the prime factors of (b - -3) + (1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1028*k**2 + 1028*k**2 - 2*k**3 - 451*k to the form p*k + i*k**3 + h*k**2 + g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 71\/485626?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 3:34 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/21 and 2 + (-98)\/(-12)*(-6)\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 30013\/21169 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 39, -5, 5 in decreasing order.\nAnswer: 39, 5, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbq when four letters picked without replacement from {b: 4, q: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(272) + sqrt(272) + -1 + sqrt(272) + sqrt(272)) + 2)**2*4.\nAnswer: -21504*sqrt(17) + 629824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*h - 3. Let m = h - -1. Calculate the lowest common multiple of m and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3 = c, c = o - 3 + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -190 divided by -1\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15631\/2 + 7818. Determine g so that -1\/2*g**2 - 1\/2*g**3 - 3\/2 + s*g = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/10)\/(0 - -2). What is the derivative of -69*z**4 + 62 - 885*z**l + 885*z**3 wrt z?\nAnswer: -276*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160621204 to the power of 1\/2, to the nearest integer?\nAnswer: 12674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 13. Let g(r) = -r**3 + 18*r**2 + 19*r + 10. Let s be g(19). Determine l(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v + 123. Let z be s(-21). Find the common denominator of (-1)\/5*(-47 + z) and 68\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144460?\nAnswer: 2, 5, 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305682488 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -26. Suppose -r + 4 = 2*g. Let o = g - -12. What is the remainder when 53 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 1 + 1. Let b(q) = -q - 1 - q**s + 2*q + 4*q. Suppose w - 12 = -2*w. Determine b(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5\/3 - 490*x**4\/3 - 36215*x**3\/3 - 702740*x**2\/3 - 1538740*x - 2234400 = 0. What is x?\nAnswer: -21, -10, -2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*z + 3*k + 75, 8 = -2*z + 4*k. Let n = 14 + z. Let c = -84\/11 + 566\/77. Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g - 6 = -3*z, -z + 2*g + 2 = 0. Suppose m + 2*m + 5*o - 94 = 0, z*m - 2*o - 68 = 0. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101323517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 6*g**2 - 166*g + 315. Give c(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + 1 + 5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 416172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 3*f + 6, f + 118 = -2*c + 129 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 6*i = -3*j + 1957072, -4*i + 1565702 = -5*j. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*j, 2*v - 5*j + 4 + 1 = 0. Suppose 3*w - 11 = 2*u, -4*w = 3*u - v*u - 16. Solve -2*h - h - 12 = 3*p, 0 = 5*h - u*p + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7743 is divided by 117?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16*n - n**3 + 0 - 10*n**2 - 4 - 6*n - 3. Let r be w(-11). Solve -4 = 4*j + r*q, j - q + 19 = 4*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 286*f**2 + 35 + 32.\nAnswer: 286*f**2 + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((-6)\/(-2) + 0). Let j(y) = 3*y - 4. Let r be j(h). Suppose -4*g + g + 6 = 0. Calculate the greatest common factor of g and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, -5\/4, 4687?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3 - 2\/3. Let q = m + 4. Is (5\/15)\/(q\/102) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 - 1802564951276868 + 1802564951276868.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102221 + 2011102100?\nAnswer: 2010222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 7*m**2 - 8*m + 8. Give k(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 3*n - 10, -5*j + 4*n = -55 + 44 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1075.97?\nAnswer: 5379.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 23*u - 23. Calculate the remainder when h(-17) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 562031*j**2*k**3 + 92*j**2*k**2 + 2*j*k**3 + j*k**2 + 18*j*k + 2*j + 36107*k + 1 wrt j?\nAnswer: 1124062*k**3 + 184*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -367 + 371. Solve -n*a + a + 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1001111?\nAnswer: -1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3 - 17. Let m = -12\/11 - -37\/44. What is the nearest to -1\/5 in m, s, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 5:27 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2860 divided by 11.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 18 = 0, 4*w = 3*g - 29 - 1. Let k(z) be the first derivative of 1\/4*z - 5\/16*z**g + 8 - 1\/40*z**5 + 1\/32*z**4 + 1\/8*z**3. Factor k(x).\nAnswer: -(x - 1)**3*(x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - c - 2. Let w(b) = 2*b**2 + 22*b + 23. Let q be w(-10). Let y be 5 + q\/(-3) - -43. Let r = y - 49. Determine t(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -159*k**3 + 6*k**2 - k + 5120.\nAnswer: -477*k**2 + 12*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -34*j - 76 - 56 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -32*u**2 - 324575*u + 10143 = 0.\nAnswer: -10143, 1\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-10)*75\/(-6). Let v be ((-3)\/15)\/((-4)\/o). Put v, 5, 0.4 in decreasing order.\nAnswer: 5, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (0 - 112 - (-57 + (55 - 2)))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -6*z**4 + 9272*z**3 + 327784*z**2 + 1352000*z + 758400 = 0.\nAnswer: -30, -4, -2\/3, 1580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 384921 divided by -20259\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6 - 1 + 3*s**2 + 9 - 2. Let u(h) = -3 + 1 + 2 + 110*h. Give a(u(f)).\nAnswer: 36300*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (2 + -2)) + (-9165 - -9252)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + n = -33, 3*a + 6*n - 36 = 3*n. Calculate the greatest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4592871?\nAnswer: 3, 510319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**9\/a*a*a*a*a)\/a**(-17) assuming a is positive.\nAnswer: a**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7481 + 12145. List the prime factors of h.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**5\/20 + c**3\/6 + 3*c**2 + c. Let i be k(0). Suppose 0 = -3*q - 0*q. Solve q = f + 1 - i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 770*z**2 - 789*z**2 + 2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 16) to base 15.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m - 14. Does 13 divide c(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 5 - (188 - 199)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -41. Calculate the remainder when 111 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 4*p + 4*p)*(4 + 2 - 1) + 0*p + p + 2*p + (1 - 3 + 1)*(-4*p + 4*p + p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -137311, -139838, -142365, -144892, -147419, -149946?\n\"Answer: -2527*b - 134784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8617439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 645, 650, 657, 666, 677, 690?\n\"Answer: f**2 + 2*f + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 0.5, -23, 0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 32.2 (b) -0.3 (c) 2\/15 (d) -7 (e) -3.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39469296 is divided by 9867318.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/187, 0.0282, 5?\nAnswer: 1\/187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 525 - 523.561. What is w rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*b**2 - 69*b**2 - 54*b**2 to the form c*b + w*b**2 + z and give w.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 1:22 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 76?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 1:22 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1781 + 7?\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145997 is divided by 400.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -154186.5 rounded to the nearest one thousand?\nAnswer: -154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723279.\nAnswer: 3, 241093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -13*v + 9. Let d(w) = 6*w - 3. Let m(o) = -15*d(o) - 5*s(o). Let j(r) = 131*r - 2. Give j(m(a)).\nAnswer: -3275*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {v: 4, i: 4, j: 2, w: 7, d: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d + 6028 - 6196 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7338?\nAnswer: 2, 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*y + 2*w, 3 = -2*y + 2*w + 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83221140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 9) to base 13.\nAnswer: -10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10802734, -21605466, -32408198, -43210930, -54013662?\nAnswer: -64816394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five quarters of a decade?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 48*n - 12. Determine x(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174 - (-259478)\/1507)*33\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -596688*v + 64. Let l be d(3). What is l rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2880)\/768*(-4)\/1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 4*x**2 - 2*x + 2. Let z be h(4). Let q = z - -6. Solve q = -5*m - p - 7, -2*m = m - 3*p + 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(-93)*(1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 561003 - 291598. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0 - 4, -5*s = -5*x + 5. Put 5, -2, x, -4 in decreasing order.\nAnswer: 5, x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let r(d) = -1. Let m(u) = -r(u) - 2*v(u). Suppose -3*p - 26 = -5. What is m(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1497\/9 + -1. Let c = t - 1465\/9. What is the common denominator of 29\/5 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.2 (b) -1194\/11 (c) -4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341134737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1 + 2 - 3 - 1 + (-3 + 1 + 3)*(-1 + 0 + 3))*(31*k**4 + 808*k - 808*k).\nAnswer: -62*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481 (base 14) to base 6.\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1600768*f**2 + 668 - 668.\nAnswer: 1600768*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2581152735?\nAnswer: 3, 5, 7, 53, 293, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8376 - 2751 = 908*w - 77911 for w.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*m - 2*m. Suppose 0 = 5*n - 2*l - 34, 4*n + 4 = -3*l + 45. What is the smallest common multiple of 42\/m*84\/(-49) and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19323014*l*z + l + 23209006 wrt z?\nAnswer: -19323014*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 10 + (3 - 4 - 2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -10387367.\nAnswer: 28\/10387367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7173 - 7099. Calculate the remainder when 153 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d**2 + 2*d + 2. Let r(u) = 183*u**3 - 4*u**2 + 6*u + 901. Let f(c) = -3*o(c) + r(c). Differentiate f(m) with respect to m.\nAnswer: 558*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 4*n**2 + 9*n - 205. What is f(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4)*-2)\/((-62)\/(-168082)). Suppose 83 + b = z + 5*h, -13949 = -5*z - 4*h. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44c (base 16) to base 6\nAnswer: -5032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-4))\/(2*(-5)\/80). Suppose 9*w - 7*w - q = 0. Solve -3*v + 1 = -4*u - w, -3*u + 4*v = 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 0*b - 5*b + 0*b - 3*b. Let h(n) = -2*n + 26. Calculate h(a(j)).\nAnswer: 16*j + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36.6 and -187.\nAnswer: -6844.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*r + 85 = 0, 0 = 4*v - 2*r - r - 69. Suppose 21*m - 30 = v*m. Solve 0 = -5*b - 4*y + 45, -5*y = -2*b - b - m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 406 - 290. Calculate the remainder when t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -5483\nAnswer: 2\/5483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + h + 7 = -7, -4*h = -2*f + 22. Let s(l) = -3*l. Let b be s(-1). Suppose -2*j + b = -f. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8853.4495 rounded to the nearest integer?\nAnswer: 8853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 2, p: 1, k: 2, a: 4}. What is prob of sequence arr?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -41*i - 18. Let z be u(-22). Let q = -1803\/2 + z. Calculate the common denominator of 59\/115 and q.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -21 + -60 + 33?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 3*h**2 + 35)*(-274 + 65*h**2 + 274).\nAnswer: -195*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 + 6*o - 2. Let g be r(-3). Let v be (g\/(-5))\/((-7)\/(280\/16)). Suppose 2*u - 3*p - v = 0, 4*p = -2*u + u - 7. Solve 6 = -j + u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 56*g**2 - 4*g + 5. Let f = -210 - -212. Let u be t(f). Calculate the greatest common divisor of 51 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4292, -4314, -4362, -4448, -4584, -4782?\nAnswer: -5054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from uuouuouo.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(5 - (-5898)\/(-1179))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*r - 2*f, 0 = -3*f + f + 6. Let p = 2.6 + -3. Which is the second biggest value? (a) p (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*497\/(-84)*7*3\/21*-3.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/240 + 31*d**4\/48 - 11*d**3 - 362*d**2 + 6*d. Solve l(i) = 0.\nAnswer: -66, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376682 - 4*i - 376682.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001101110 (base 2) to base 13.\nAnswer: -18b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 108 - 109*y**2.\nAnswer: -109*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0 - 5\/8*j**4 + 0*j + 9*j**2 + 0*j**3. Let w(f) be the second derivative of -f**3\/6 + 472*f. Calculate w(y(z)).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-60)*((-841)\/(-58) - 17)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t. Suppose -4*f - 2*p + 10 = t, 2*p + 2 = -0*p. Find the third derivative of -17*n**6 - 7*n**6 + f*n**2 + 14*n**6 wrt n.\nAnswer: -1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-4)*(-6)\/68*149\/447\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z + 4. Let v(f) = 19*f - 11. Let l(x) = -11*d(x) - 4*v(x). Let r be 1\/(-1) - -3 - 1. Let k(u) = r - 2 - 15*u + 1. Calculate l(k(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 3 - (-2 + 5 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*s**2 - 3*s**2 + 5*s**2 to j + l*s + z*s**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 426 and 694662?\nAnswer: 49321002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.1. Let q = -3.2 + 0.2. Which is the nearest to i? (a) q (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -2 - (-507 - -506).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 19*s - 4. Let g be c(1). Suppose 3*k + 10 = -4*h + k, 2*h - 3*k = g. Suppose h = 10*a - 14*a + 12. Solve t + 2 = -b, -b = -0*t + a*t + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdffsfgfgdffff. Give prob of sequence df.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3194 or -3914?\nAnswer: -3914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/8*((-108)\/(-14) - 5) and -95\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -188*p - 554. Is 9 a factor of h(-49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2233010313 + 2?\nAnswer: -2233010311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/6 + 240305*o\/3.\nAnswer: -o*(o - 480610)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 - 66. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 81, -10 in decreasing order.\nAnswer: 81, 5, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p**2 + 3*p - 10. Let i be j(8). Is -2*(0 + i\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/3)\/(-35 + 1616\/48)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*f + 68, -3*f + 2*f - 4*p = -28. Solve -6*x = -f - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386721.904 less than 16858.53?\nAnswer: 403580.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = 27*p - 33*p. What is the highest common factor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 41556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 + 56*o\/5 + 24.\nAnswer: -2*(o - 30)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018781050958 rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 108209704 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 133, 299, 531, 829, 1193?\n\"Answer: 33*u**2 + u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1730 + 4?\nAnswer: -1729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(720))**2*1.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.7 (b) -4 (c) 5 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 8*w - 33. Let l be o(-14). Let v be 4897\/6 - (-43)\/(-258). Calculate the highest common divisor of v and l.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8f57a + 1?\nAnswer: 8f57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(75\/10))\/((-28)\/6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -258687, 3.\nAnswer: -258687, -28, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -947825 - -1920484. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 91.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by (-450)\/(-20) - (-2)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3049 + 3146 = -4*l, -74 = -4*o + 5*l for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63608?\nAnswer: 2, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.311471 times 0.0439\nAnswer: -0.0136735769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -29507 divided by -1\nAnswer: 29507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 432591990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y + 7. Let x = -27 - -51. Suppose -u - 3*d = 2*u - x, -3*u + 27 = 4*d. Let p(l) = 0*l + u*l - 2*l - 3 - l. Give -4*g(q) - 10*p(q).\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/2133 and -28\/6399?\nAnswer: 6399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20087549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 806, 811, 830, 869, 934, 1031?\n\"Answer: z**3 + z**2 - 5*z + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a day?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a decade in months?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3850 + -2256. Let r be (-18)\/63 - c\/7. Round r to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102220 (base 3) to base 8\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28003 = -54*x + 95*x. List the prime factors of x.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1012? (a) 4 (b) 3\/7 (c) 1 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 177106266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 j when three letters picked without replacement from cvvjjccc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79971986*i**2 + 25*i + 194579.\nAnswer: -159943972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3398855 (base 11) to base 4\nAnswer: 112222200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1108503257 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((220\/(-20))\/627)\/((-3)\/(-18)*-3)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 7*b + 8 + (-3 + 5 - 3)*(-4 + 2*b + 4) + (-4*b - 3*b + 6*b)*(0 - 1 + 3) - 4*b - 4*b + b + b + 2*b + 0*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - o + 2)*(12*o**2 - 6*o**2 + 6*o**2) + (-3*o**2 + o**2 + 6*o**2)*(2*o - 2*o + 3*o) - 2*o - 1 - 7*o + 0*o**2 - 2*o**3 - 2*o**2.\nAnswer: -2*o**3 - 2*o**2 - 9*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 v when three letters picked without replacement from {x: 2, r: 2, b: 1, l: 5, v: 4}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 27*u**3 - 486*u**2.\nAnswer: 3*u**2*(u - 18)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + 2. Calculate the least common multiple of (-150)\/(-14) - (-4)\/g and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506224?\nAnswer: 2, 23, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 9. Suppose 2*z = x*z - 87. Suppose 0 = -5*q + z + 43. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2892 (base 11) in base 6?\nAnswer: 25135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d + 52 = -5*k, -k = -d - 40. Let y = 215 + -252. Let g = y - d. Solve -1 = -q - 4*o + 2, 3*o = -g*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 812 + -796. Solve -10*g - o = 6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114257361*c**4 + 91915951*c?\nAnswer: -1371088332*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(13) + 0 - (sqrt(208) + -4)))**2.\nAnswer: -48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086907 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2213554 (base 7) to base 16\nAnswer: -428f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*f = 27, 4 = -3*k - 2*f + 21. Let s = 0.13 - -4.87. Which is the smallest value? (a) -0.2 (b) s (c) 0.3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242731174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 at least 1555\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxx when three letters picked without replacement from xxxxxppdpxddyydddxd.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/26, 3336986, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 770?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.91 - -39. Let d = b - -0.11. Sort 4, -1, 0, d in ascending order.\nAnswer: -1, 0, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69791.\nAnswer: 101, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8052\/73151 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 k, and 1 g when four letters picked without replacement from kgggegkeggekge?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11*(1 + (0 - 0)). Let r(z) = -z**3 - 12*z**2 - 13*z + 4. Does 9 divide r(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 24 = 4*g, 3 = 2*m + g. Suppose 8 = -2*x, -m*x - 22 = -b + x. Suppose b*d - 2 = 18. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2113, -88, 120 in decreasing order.\nAnswer: 120, -88, -2113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 69*n + 1. Determine m(-1).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 13) in base 14?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 736 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u + 184. Let v be c(23). Suppose v = 4*p - 8, -2*l - 13*p + 9*p = -424. Calculate the highest common divisor of 182 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c - c)*(-3*c**3 + 3*c**3 + 2*c**3) + 0*c**2 + 2*c**4 + 0*c**2 - 3*c + 3*c**4 + 3*c - 15*c**4 + 46*c**4 + 9*c**4 + 45*c**4.\nAnswer: 92*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5842421 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 9*h**3 + 2 - 1 + (1582 - 22*h - 1582)*(57*h**2 + 18*h**2 + 0*h**2) to o*h**3 + r*h + b*h**2 + q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 3*b + 26, 5*y - 2*y + 2*b = 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - x = 0, 2*i = 3*i - 5*x. Suppose -5 = -2*f + d, -f + i*f + d = -5. Suppose -11*w - w = -48. Solve f = b + w*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (10 - (-13 - -25)) - (1 - -43) - 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -551100 rounded to the nearest 10000?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c**5\/4 - 4*c**4 - 199*c**3\/4 + 67*c**2 - 15*c = 0. What is c?\nAnswer: -5, 0, 2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309642005.\nAnswer: 3, 5, 7, 17, 173, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 - -84. Let x = g + 60.5. Which is the smallest value? (a) -0.32 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1042*t + 76797 = -1021*t. What are the prime factors of t?\nAnswer: 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*m - 13, -4*f + 23 - 5 = 2*m. Suppose -5*p - r = -f*p + 21091, 4*p + 28121 = -r. What is p rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 4)*(697*f**2 - 1022*f**2 + 4068*f**2) in the form c*f**2 + r*f + k and give c.\nAnswer: -22458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 411*t - 81. Let p be i(-12). Let u = p + 8006. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.3 (b) 0.7 (c) -0.4 (d) -2 (e) 3 (f) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 674525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 3*x + 3. Let l be g(4). Let d = l + 4. Let p(n) = n**3 - 4*n**2 + 3*n + 2. Determine p(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 64 = -3*x - 7, -214 = -4*y + 2*x. Let l be 4\/2 + 9\/y*-6. Let j = 0 - 0.4. Which is greater: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c**3 - 3*c**2 + c - 3. Suppose 1317 = -14*a + 1205. Let z(p) = 17*p**3 + 8*p**2 - 2*p + 8. Calculate a*r(f) - 3*z(f).\nAnswer: -3*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7391.5272ns to hours.\nAnswer: 0.000000002053202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(2 + (sqrt(1088) + 0 + sqrt(1088) + -5 - sqrt(1088) - -3*sqrt(1088)*-1))*-5*5)**2.\nAnswer: 540000*sqrt(17) + 24530625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12782 + -89472\/7. Put -2\/21, 3, v in ascending order.\nAnswer: -2\/21, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 155*d**2 + 393*d + 12405. What is j(-157)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -10. Let o be z + (-14)\/6 + 3. What is the nearest to o in -2, 1\/4, 5\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(110)*-2*1)\/(2*-2*sqrt(1440)).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 20. Let o(y) = -y**2 + 8*y - 7. Let p be o(j). List the prime factors of (p - -2)*(-9)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 238 = 567. Suppose g - 4*w - 56 = -g, 0 = 5*g - 3*w - f. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3884.\nAnswer: -3884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 2:28 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 153*y**4\/4 + 1445*y**2. Let x(q) = -5*q**2. Calculate n(x(u)).\nAnswer: -4590*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 244792 and 157028.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12)\/(4\/(224\/6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**3 + 16*b**2 + 67. Let y(c) = -c**3 - 18*c**2 - 25*c + 126. Let j be y(-16). Is s(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -21*(-2 - 72718\/(-6)). Let r = g - -148471. Round r to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54, 132, 208, 282, 354, 424?\n\"Answer: -a**2 + 81*a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -4297.08?\nAnswer: 8594.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 13 - 33. Suppose -2*w = -q*w. Suppose w = -5*g + 3*p - 8*p - 5, 0 = 3*g - 2*p - 2. Solve -5*j + 4*i + 19 = g, i + 4*i = -3*j + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2013 = -261*h - 222*h + 544*h for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65949.2911 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1418347 rounded to 3 dps?\nAnswer: 0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -r - 13, 3*d = 5*r + 12 + 9. Solve 5*i - q - 4*q = -10, d*i - 31 = -5*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 1\/30*z**6 - 21*z + 0*z**2 - 6\/5*z**5 + 16*z**4 + 0 - 256\/3*z**3. Find w such that y(w) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {q: 7, g: 1, r: 1, b: 10}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119*j*l**2 - 21*j*l - 139998*j + 40*l**2 wrt l.\nAnswer: -238*j*l - 21*j + 80*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41747*-102.\nAnswer: 4258194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 6) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 255?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 10 = r, -4*r + 3*u - 132 = -8*r. Suppose -20*m + 22*m - r = 0. Let i = 25 - -50. What is the highest common factor of i and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*f = -22*f + 104 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 + 2*n + 125. Let x(h) = -14*h**2 - 7*h - 375. Let o(j) = 17*b(j) + 6*x(j). Let d be o(16). Solve 3*p + 12 = 4*t, t - 4 = -d*p - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 14*z - 1. Let p(f) = -359*f - 7. Determine 5*a(h) - p(h).\nAnswer: 429*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011010001100110 (base 2) in base 6?\nAnswer: -2221114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(-1\/4))))\/z**16)\/(((z\/((z**(-14)*z*z)\/z*z))\/z)\/z*z*z**(-20)\/z) assuming z is positive.\nAnswer: z**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 99? (a) 4\/9 (b) -0.31 (c) -4 (d) -2\/5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/10 - 393*d**2\/5 + 634*d - 4764\/5 = 0. What is d?\nAnswer: -794, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*k + 9 = -r, -2*k = 4*r - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 37840575*d + 113521698.\nAnswer: 3*(d - 12613522)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(6 + 15\/(-3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:23 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 t when three letters picked without replacement from {v: 7, t: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaahbrhbbarraha. Give prob of sequence ab.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1. Let l(a) = -2*a + 53. What is 3*g(r) + l(r)?\nAnswer: -2*r + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggglgvglgggglvg. What is prob of sequence llv?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*o - 49*o - 90*o)*(-18 + 21*o**2 + 18) as w*o**2 + q + h*o**3 + y*o and give h.\nAnswer: -3507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 256, -3.3, -0.1?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*l = 5*l - 4, p - 10 = -4*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4*d**19 assuming d is positive.\nAnswer: d**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 356, 423, 488, 551, 612, 671, 728?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 0.3, 6, 11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1013\/2 + -508. Put -0.1657, 4\/7, j in descending order.\nAnswer: 4\/7, -0.1657, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -3, -4, 17\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*q = p - 16320007, -p + 8159993 = q. Suppose 2*n + 2*z = -p, -2 = -2*z + 2. Round n to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 9}. What is prob of picking 1 i and 1 c?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 4*x**2 - 9*x + 2. Let k be d(6). Suppose -5*y + 19 = 4*n - 0, 0 = -5*y - 5*n + k. Put -2\/5, -4, y in descending order.\nAnswer: y, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/103? (a) 430 (b) -5 (c) -1.2 (d) -2\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/3)\/((-2)\/(-45)). Let t be -3*1 + u + 71988. Round t to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112 + 443\/4. Which is the second smallest value? (a) 3 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q - 11. Let l(m) = -35*m + 44. Let s(v) = 9*k(v) + 2*l(v). Let t(r) = r. Give s(t(u)).\nAnswer: 2*u - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 91*m**2 - 2*m - 1. Let r be n(-1). What is the common denominator of ((-2)\/((-24)\/r))\/2 and 3\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(143)*1 + sqrt(143)))\/((sqrt(121) + (sqrt(121)*-1 - sqrt(121)) + sqrt(121) - sqrt(121))\/sqrt(11)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 18. Suppose -i = -2*k + i + 2, 0 = -2*i - t. Let g = 18.9 - 19. Which is the third smallest value? (a) k (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*m + 4 + 2, 3*g + 4*m - 9 = 0. Suppose g*p - z = -p + 5, 2*p = z + 5. Let h be (-24)\/11 - (-8)\/4. Which is smaller: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11 + 11 - h**2 - 136614*h**3 - 3*h + 136612*h**3. Let s(p) = -2*p**3 - 2*p**2 - 4*p - 1. What is -2*s(g) + 3*z(g)?\nAnswer: -2*g**3 + g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15625210 to the nearest integer?\nAnswer: 3953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-35))**(-3\/49)*(r**0\/r**6)**12 assuming r is positive.\nAnswer: r**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15324 + 9017. Put -2\/7, -5, m in decreasing order.\nAnswer: -2\/7, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49396 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (0 + 2)) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3202\/23 greater than or equal to -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1441667089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.4 - 11. Sort -1\/3, j, -1, -0.5.\nAnswer: -1, -0.5, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -248, -258, -270, -284, -300?\n\"Answer: -i**2 - 7*i - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 491, 1419, 3227, 6209, 10659, 16871?\nAnswer: 25139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 4 (c) 0.1 (d) -18 (e) 1.448\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 21*i**2 + i + 4. Let c be y(-3). Suppose -w = -c + 189. Calculate the lowest common multiple of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 6)*(-430*y + 6030 - 6030) in the form m + x*y and give x.\nAnswer: -3010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5782? (a) 1 (b) 2\/5 (c) 0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = t. Suppose -t*u = v - 24 - 12, -5*u - 19 = -4*v. Suppose -2*p + 0*p = -12. Calculate the remainder when v is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -10, 821?\nAnswer: 821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -39*m - 101. Let a be w(-9). Calculate the highest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 20. Let z be -2 + 240\/96*(-12)\/(-5). Solve z*s + s = -v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9674407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.197 + 0.639. Round g to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -259*c**3 - 686003 - 4*c**2 - 2*c**2 + 686005 as n*c**3 + i + d*c + r*c**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**2 - 1208663*h + 302166 = 0.\nAnswer: -302166, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.03, -0.8, -4\/7, -2, -1\/11?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -2*h + h. Suppose 0 = b - 5*b + h. What is the smallest common multiple of 10 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 - 1\/2*6. Suppose -2*z = -d*z + 115. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 13*y**3 - 1571*y**2 + 3135*y - 1565. Let i(h) = 15*h**3 - 1570*h**2 + 3135*h - 1565. Let g(l) = -4*i(l) + 5*o(l). What is p in g(p) = 0?\nAnswer: 1, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - -3) + -10)*32\/168\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2, 76.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3920.56 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*y + 403*y + 68*y - 1254*y - 49*y.\nAnswer: -643*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.2, -0.3, -4\/5, -1298, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 184\/(-32)*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 5955*j**2 + 2839680*j - 3796425380.\nAnswer: -5*(j - 986)**2*(j + 781)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.35 + 0.05. Let x = -42 - -38. What is the biggest value in x, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -42*h**3 + 848*h**2 - 230*h + 1395. What is o(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*l - 158*l + 41*l)*(-150*l - 105*l - 38*l - 42*l).\nAnswer: 80065*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270632 divided by 4.\nAnswer: 67658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 505 + -37?\nAnswer: 48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72201087 divided by -10314441.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + (1 - (0 + 8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 166, -543, 5, -2 in descending order.\nAnswer: 166, 5, 4, -2, -5, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -100*d - 2190. Determine b(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = 12 - 24 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*l - 3*o, -2*l + 1379*o - 1381*o = 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3, -5, -1634\/7 in ascending order.\nAnswer: -1634\/7, -5, -3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -14 - 16. Solve -4*a + 3*l - 13 = 0, -3*a - 4*l + l + b = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21448916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*b + 11, 45*t + 49 - 188 = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43996 and 21261067.\nAnswer: 85044268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tittititttiitttitt. What is prob of picking 2 t and 2 i?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 + 4 - 17*t.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384\/(-1680)*(-5)\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(2\/5)*h)\/h)\/(h**(4\/7)*h))\/(h\/h**(-1)*h\/(h*h**3)) assuming h is positive.\nAnswer: h**(64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24019643?\nAnswer: 24019643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i + 12 = 0. Suppose 0*a - 5*a + r + 10 = 0, 8 = -4*a + 4*r. Let q(l) = 13*l**2 + 18*l**2 + 0 - 4*l - 32*l**2 - a. Determine q(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 13677?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 10:34 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-30)\/125)\/(980\/50).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21893 is divided by 20889?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-1)\/(-7) - 752\/5166). Let l = y + -213. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 166861 - 83440 - 83421.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 divided by 899.\nAnswer: 163\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -445 - -487.9. Let x = w + -43. Is x at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 - 0.154\nAnswer: 125.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 + 13 = 0. Suppose 6 = -z*u + 4*u. Calculate the smallest common multiple of 9 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 2. Let g be s(3). What is the highest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 5*y**2 - y + 2. Let z be l(-4). Let a = z - -14. Does 13 divide 24 - 5\/((-10)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -u - 63, -3*d + 2*u - 6 = 78. Let p = -61\/2 - d. Let n = -14 - -14. Which is the closest to n? (a) 1\/4 (b) p (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/((5712\/(-70))\/(-68)*(-15)\/9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1119888 and 477.\nAnswer: 59354064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.377 minus -0.1?\nAnswer: -0.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umbqffmfmmmffmmqf. Give prob of sequence bfu.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 12 = -3*m, -17*f - m - 4 = -15*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + p = -6, -4*m - 26 = -322*p + 328*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -271\/7853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s + 7. Let g be z(7). Suppose j = -5*p + 90, 0*j + p = -4*j + 284. What is the highest common factor of j and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*r*y - 4*f**2*r - 41046*f**2*y + 8708*f*r wrt y?\nAnswer: 2*f**2*r - 41046*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8157 - 805. Is 40 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -1910*w + 1914*w + 13*i, 0*w - 2*w - 4*i = -46 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j - 6. Let v(b) = -5*b - 5. Determine -6*v(f) + 5*w(f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -465739789510 - 1.2.\nAnswer: -465739789511.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2\/5, -0.5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 561*u - 1117. Let b be x(2). Let i(r) = -3*r - 10. Calculate i(b).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1116 and 372.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 90428*t - 23068 wrt t?\nAnswer: 90428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 828.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-1\/7)\/v*v)*v)**24 assuming v is positive.\nAnswer: v**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 8. Let b(w) = 4*w + 15. Calculate -2*b(h) - 5*z(h).\nAnswer: 2*h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20b748 + -34?\nAnswer: 20b714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17955 + -10096. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1463078 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 17*k**2 - 10*k + 16. What are the prime factors of p(13)?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449786.5 minutes to milliseconds.\nAnswer: 26987190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -397.3 - -424. Let u = -27.2 + d. Let c = 0.3 - -0.2. What is the smallest value in u, -1, -1\/4, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/(-10) - 6)*4\/12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + w**2)*(-5*w + w + 3*w)*(2*w + 4*w - w).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-182)\/(-42))*-3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12016*w**5 - 12*w**3 - 4*w**2 + 81*w + 47760 wrt w?\nAnswer: 240320*w**3 - 72*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, y: 6, l: 6, j: 2}. What is prob of picking 3 l?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + m + 1. Suppose i - 100 = -23. Let y(w) = -70*w + i*w + 4 + 1 + 3 + 7*w**2. Calculate 6*h(a) - y(a).\nAnswer: -a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 212*w**2 - 215*w - 5. Let d(p) = -109*p - 2 + 242*p**2 - 122*p**2 - 14*p**2. Let i(a) = 5*d(a) - 2*l(a). What is the second derivative of i(j) wrt j?\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 2*b**2 - b**2)*(-3 + 4 + 1) + (20*b - 4*b + 2*b)*(-2*b + 3*b - 3*b).\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*i**4 + 377*i**3 - 377*i**3 - i)*(-12 + 6 + 17).\nAnswer: 297*i**4 - 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -117707 (base 8) to base 16\nAnswer: -9fc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/4 in -857, 3\/4, -1\/2, -1.03?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 0*o**5 - 44*o**3 + 70*o**2 + 46*o**3 + (3 + 0 - 1)*(0*o**5 - o**5 + 0*o**5) + 0*o**5 + 5*o**5 - 4*o**5.\nAnswer: -3*o**5 + 2*o**3 + 70*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5502151 divided by -43\nAnswer: 127957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239 divided by 25571.\nAnswer: 239\/25571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*k**2 + 5*k + 1295*k**2 - 5*k - 645*k**2 + k**3.\nAnswer: k**3 - 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1 + 2)\/1). Let i(k) = -4 + k - v + 7. List the prime factors of i(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106810 rounded to the nearest 1000?\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*v = -8611 + 88984. Calculate the smallest common multiple of 3670 and v.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 19. Let f be 2\/2*(-6 - s). Calculate the common denominator of 47\/16 and f\/33 - 414\/(-220).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/15 - (-1)\/3. Suppose 2*w - 5*p = -1, 5*p - 5 = -3*w + 6*p. Factor -k*m**w + 2\/5 + 0*m.\nAnswer: -2*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42779 in 501, -0.3, -0.07?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 6*x + 140. Let h = 31 + x. Let j be 171\/38*h\/(54\/8). Solve j*q + 4 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-14) + (-1330)\/(-49) + -3. Let l be (3 - 3) + 5 + 1. Let i = l - 1. Solve -i*o = -1 - y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 2, i: 11, j: 1}. What is prob of sequence ip?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 7 = m. What is the remainder when m - 2 - (1 + -1) is divided by 3\/6 + (-9)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 4*t**2 + 4*t + 2. Is 19 a factor of h(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2 + 2 + (1 + 2 - 1)*(-u - u + 3*u) - 4*u + 2*u + 4*u + (-3*u + 1 - 1)*(3 + 3 - 3).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 4:51 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 86711635 from 0.1488.\nAnswer: -86711634.8512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Suppose j = v + 2*v - 12. Suppose z + 2*t = 3*t, -4*z = v*t + 8. Which is bigger: z or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2824)\/48)\/((-20)\/(-1902)*-2). Let q = 2798 - c. Find the common denominator of -97\/50 and q.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 10. Let w be h(0). Suppose -4*i - 20 = -0*i. Let q = i + w. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 2*g**2 + g. Let v be r(2). Suppose v*x + x - 132 = 0. Let z = x - 7. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 12:12 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/7 + 2449658*a\/7 + 9798616\/7 = 0?\nAnswer: -2449654, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 3) to base 5.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513790282?\nAnswer: 2, 256895141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71199 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b819 + -55?\nAnswer: b794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143)*5 - (sqrt(143) - 4*sqrt(143))*4)\/(-2*sqrt(176)*-1*-2).\nAnswer: -7*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(5) + sqrt(7)*-3*-5 - (-2*sqrt(7)*2 - (sqrt(700) + 0)))**2*-6.\nAnswer: -40362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*m = 10, 644*m = 4*g + 641*m - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 8:08 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.91, 1\/2, 38 in increasing order.\nAnswer: 1\/2, 0.91, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**3\/30 + 757*u**2\/10 + 1513*u\/10 + 5918. Factor d(f).\nAnswer: (f + 1)*(f + 1513)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1163? (a) 1\/5 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5.33477 - 4\nAnswer: -9.33477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 5:31 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 47*g - 29. Does 11 divide m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3 + 175*p**2 - 1610*p + 1440 = 0.\nAnswer: 1, 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 133864 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3106226891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n = -44 + 299 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2065809mg?\nAnswer: 0.0000000002065809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (2 - (-12)\/3). Let o(x) = -65*x - 220. Let t(v) = 3*v + 10. Let h(s) = -2*o(s) - 45*t(s). Is h(k) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**4 + 6*q**4 - 1 - q - 1 + q**2 in the form t*q**2 + g + m*q**3 + f*q**4 + o*q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*c - 17 + 49, -4*c - 4*k = -56. Let h(s) = 7*s**2 - 38*s - 3. Calculate the remainder when h(6) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*((-4)\/6)\/(-2). Let y(d) = 2 - 2*d**3 + 8*d - 5*d + k - 4*d**2 + 64*d**3. Is y(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (21 - (-67 - (13 + -21 + 30)))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -242*y**2 + 438*y**2 + 992*y**2 + 2*y**2 + 817*y**2. Let l(a) = a. Calculate t(l(p)).\nAnswer: 2007*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 + 23730*z - 140778225 = 0.\nAnswer: 11865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154083141 divided by 3.\nAnswer: -51361047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 23*o + 6. What is the tens digit of ((-6)\/15)\/(o\/655)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4753.8405 to zero decimal places.\nAnswer: 4754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.40639 months to decades.\nAnswer: 0.37005325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.9? (a) 173 (b) -5 (c) 7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - -1)*(-180759)\/178?\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43, -411, -1427, -3421, -6723, -11663?\n\"Answer: -55*p**3 + 6*p**2 - p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7962*z + 2693. Is d(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1818 and -89\/54.\nAnswer: 5454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 12:55 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t + t - 3*t**2 + 11 + 2*t**2. Let p be z(-7). Is p at least 14\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 51*h - 69. Let i be g(-24). Let u(j) = 7*j + j**3 - 2*j**i - 13*j + 8*j - 2. What is u(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 + 112. Let t be (-18)\/20 + (-2)\/(-4). Which is the second biggest value? (a) t (b) r (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6359 + -2993. Is 66 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 2*g - 5*g + g - 7*x, 4 = -107*x + 111*x for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = u + 3, 2*d - 2*u - u = 5. Let z = 0 + d. Suppose 11*o + 1609 = 1620. Solve -5 = z*c - o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010111110 - -10000010?\nAnswer: 1000101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let r = 2 + u. Suppose d = r + 7. Is 8 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1. Let u(v) = -2*v + 18. Let x(m) = -6*f(m) - u(m). Let b be x(13). Suppose -41 = -b*r - 33. Solve -p - 2*p = -r*q, -2*q + p = 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205235524 (base 6) in base 13?\nAnswer: -996808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-1260)*7)\/(((-10)\/2)\/10)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 4*l**2 - 3*l - 2. Let u be b(-3). Suppose 3*j + 7 = -5*c, 0*j + 2*j = 2*c + 6. Put u, -3, j in descending order.\nAnswer: j, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**11\/221760 - c**9\/20160 + c**7\/3360 + c**5\/6 + 8*c**2. Let d(z) be the third derivative of l(z). Factor d(v).\nAnswer: 3*v*(v - 1)**2*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 23. Let t(b) = 2922*b**2. What is t(r(j))?\nAnswer: 2922*j**2 - 134412*j + 1545738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9958.32495s in weeks?\nAnswer: 0.016465484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/24 - g**5\/60 + g**4\/24 - 2*g**2. Let h be i(1). Suppose 0 = h*t - 25, 5*o - o = -5*t + 1509. Is o 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 -10582, -42289, -95130, -169105?\n\"Answer: -10567*i**2 - 6*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -3 - -3 - -288 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 35*j - 7. Calculate t(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - (6*(-1*sqrt(91) + sqrt(91)) - sqrt(91))))\/sqrt(7).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38540202439*s - 2*s**3 + 38540202439*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f + 16 = 0. Let x be 4*-5*2\/f. Suppose 2*d - 520 = 2*y, 0 = 2*d + 2*d + x*y - 1031. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-30)\/4)*(-12)\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -21. Suppose -2*z - w*k = 0, 4*z = -2*k + 4 + 2. Find the second derivative of 2*g**z + 11*g + 2*g**2 - 3*g**2 + g**2 wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479*k = 484*k + 380. Let g = -324 - -216. Let n = k - g. What is the highest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 3*x + 73*x**2.\nAnswer: 73*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 11*u + 154 + 9 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5458 = 145*f - 150*f - 2*c, -4*c = -f + 1096. Is f a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161458890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -12*j + 8. Suppose -r + 18 = 2*r - j*t, 4*t + 30 = 5*r. Suppose r*x = -5*a + 2*x + 448, 3*a - 4*x - 256 = 0. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-18) + (-4)\/(-6). Suppose 0 = i*b - 9 - 13. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/3)*n\/(n**(-2\/5)*n) assuming n is positive.\nAnswer: n**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 11*d = 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 864.00425 less than -167?\nAnswer: -1031.00425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48102 = 17*x - 113738. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, and 1 e when three letters picked without replacement from {e: 1, y: 4, g: 2, n: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**6\/6 - 47*z**5\/4 + 125*z**4\/2 - 10*z**3\/3 - 500*z**2 + 225*z. Factor x(t).\nAnswer: -5*(t - 2)**2*(t + 1)*(t + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 18*f**2 - 40*f + 11. Let o = 16373 - 16393. What is s(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111356421 and 11035321.\nAnswer: 1224920631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11564567868+5\nAnswer: 11564567873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -4*r - 5*f - 27, 197 = 4*r - f. Solve -b + 2*h = 10, -r*h = b - 45*h - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(108))*-2 - sqrt(108))**2 - sqrt(9)\/(sqrt(3) - -1*sqrt(300))) + ((sqrt(24) - sqrt(120)\/sqrt(5))*-1)\/sqrt(8)*6 + 5.\nAnswer: -sqrt(3)\/11 + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 1 (c) -48347.3 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 28. Let s(o) = o**3 + 9*o**2 + 4*o + 12. Let t be s(-8). What is the highest common factor of t and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) + 15\/(-6). Let x be 0*(6\/a)\/(-2). Let m be ((-136)\/340)\/(1\/(-5)). Solve -r = -x + m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -46, -20, 16?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 24 and 43596\/1801 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(2\/9 + (-37370)\/167355) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576966.\nAnswer: 2, 3, 13, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + o - 2*o = -27, 0 = -c + 3*o + 10. Let m be 0*(1\/(-2))\/1. Suppose 2*k + 5*h - 2*h - c = m, 0 = 2*k - h - 9. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -45, -150, -317, -552, -861, -1250?\nAnswer: -1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or 276\/173?\nAnswer: 276\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 3. Let w(m) = 10*m**2 + m. Let g be w(n). Calculate the highest common factor of 72 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:40 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqqk. Give prob of picking 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 230, -11.3, -72 in descending order.\nAnswer: 230, -11.3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*u + 16*u = 21*u - 2244 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -u - 4*i + 2*i, 0 = -2*u - i - 93. Let v = u - -92. Calculate the remainder when 351 is divided by v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -195*r + 2926*r + 3254*r - 1715*r + r**2 as f*r**2 + u + q*r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10744056 divided by -3581352\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*v + v. Let t = 702 + -654. Calculate the greatest common factor of v and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136 (base 14) to base 16.\nAnswer: -f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 567116000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 477*v. Let f(u) = u**2. What is g(f(h))?\nAnswer: 2*h**4 - 477*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (6 - (15 - (5 + -2)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020376 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20 + 15)\/(2\/(-4)). Suppose -a*s = -20*s. Factor 1\/2*t**5 + 1\/2*t**2 + 0 - 1\/2*t**3 + s*t - 1\/2*t**4.\nAnswer: t**2*(t - 1)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 - (-56 + 65 - 58)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1651528 and 353399.\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3654 + 72*k**2 + 749 - 67*k**2.\nAnswer: 5*k**2 - 2905","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, n: 5}. Give prob of sequence nnxx.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from xxajxjojjo.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*f + 7. Which is the fourth smallest value? (a) 2 (b) -2 (c) 0.2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12833886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -13 + 3. Suppose 60 = b*c - 0*c. Solve y - 5*i - c = 0, 4*y - 3 - 2 = -3*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 4*l**2 + 2*l**2)*(0 + 0 + l**2) - l**2 + l**2 + l + l**4.\nAnswer: 3*l**4 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3 + 15124*h**2 + 45400*h + 30272 = 0. Calculate h.\nAnswer: -2, -1, 3784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 59*o + 119. Let h be z(-6). Let s = 689 + h. What are the prime factors of s?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16155328.\nAnswer: 2, 7, 36061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 6*m - 28. Let b be i(-7). Solve 2*o = 9*o - b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1948 + 3?\nAnswer: -1945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 11*v + 2*v)*(-85 + 4 - 19).\nAnswer: -1400*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**1\/l*l)\/l*l*l*(l*(l*l*l*l*(l\/(l\/(l\/((l\/(l\/(l\/l**(-7))*l))\/l))))\/l)\/l)\/l*l)\/((l*l**(-1\/4)*l*l)\/l)**(-1))**(4\/3))**(-31) assuming l is positive.\nAnswer: l**(-217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 68668 = 5*z + 68638, 3*z = -2*y + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2224002 = -4*u - k, -3*u - 2*u - 4*k = 2780008. What is u rounded to the nearest ten thousand?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) - 152\/(-24). Suppose -x + t = -0*x. Let m = -6 + x. Solve 3 = -b - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1088102772 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/354688808 and -9\/407?\nAnswer: 3901576888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 26*n - 7.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -286.8 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90654559?\nAnswer: 90654559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -77, -79, -81, -83, -85, -87?\n\"Answer: -2*h - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2\/3 - 35548*t\/3 - 11850 = 0.\nAnswer: -1, 17775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**3\/3 + c**2 + 119. Suppose -2*p + 14 = t + 5, -3*t + 25 = 5*p. Determine y(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - a7730?\nAnswer: -a7733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4648.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*n**5 - 35696*n**4 + 28*n + 1479 wrt n.\nAnswer: 340*n**3 - 428352*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s - 949. Let m(y) = y - 313. Determine 2*g(q) - 7*m(q).\nAnswer: q + 293","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 take away 28924048938?\nAnswer: -28924048706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -76*s**2 - 93340*s + 2. Let x(w) = 20*w**2. Give b(x(n)).\nAnswer: -30400*n**4 - 1866800*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 305\/299 - 11\/13. Let k = 110\/161 + b. Factor -8\/7*s - 2\/7 - k*s**2.\nAnswer: -2*(s + 1)*(3*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4 + 74*u**3 - 70*u**2 - 74*u + 72 = 0. Calculate u.\nAnswer: -1, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 3*h**4\/4 - 11*h**3\/6 - 3*h**2 + 2*h. Let r be j(-6). Suppose 8*x = 2*x + r. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-6)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1938 by 1.\nAnswer: -1938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 10*h**2 - 42*h - 241. What is the remainder when 3070 is divided by w(6)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 1. Let j(k) = 5*k**2 + 113. Let f(z) = 6*i(z) - j(z). Let c(n) be the first derivative of f(n). Let p(b) = 96*b. Give p(c(x)).\nAnswer: 192*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.9951 - 19. Let y = -0.992 + 1. Let h = d + y. What is h rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.06 (b) 1\/2 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17925 (base 12) in base 11?\nAnswer: -23732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 + -16 - (14 - 21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 34 + 9*v + 10*v**2 - 26 - v + 7*v**2. Let u(z) = 6*z**2 + 3*z + 3. Calculate 3*g(k) - 8*u(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1984 or 1983?\nAnswer: 1984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 2:56 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*g + 570 = 3072, 3*s = -5*g + 7451. List the prime factors of s.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/3 + 35*d**4\/6 - 64*d**3\/3 - 1241*d**2\/6 + 336*d - 114 = 0. What is d?\nAnswer: -19, -6, 1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -14 + 66 + -30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 10:55 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -207, 1, 4, -3, -0.001?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 40*d - 3. Let j be h(10). Suppose -p = 5*u - j, u - 5*p = -2*u + 255. Calculate the highest common divisor of 32 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162482 (base 9) in base 15?\nAnswer: 1ea9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/15346 and 145\/6.\nAnswer: 46038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1169226 (base 10) to base 9\nAnswer: -2171780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -13, -255 in descending order.\nAnswer: -6, -13, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.91000246?\nAnswer: -0.91000246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 8:12 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173686 is divided by 965.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47, 36, 3, -64, -177, -348, -589, -912?\n\"Answer: -2*y**3 + y**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 751 + 2*j**2 + 80*j - 737 - 17*j. Let g(v) = 2*v**2. Give y(g(x)).\nAnswer: 8*x**4 + 126*x**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 11746\/434 + (-2)\/31\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10341, 10184, 10015, 9828, 9617, 9376, 9099, 8780?\n\"Answer: -o**3 - 150*o + 10492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-836)\/(-66))\/(-19))\/((-1)\/(-9)*-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2503*u + 20889. Calculate p(-8).\nAnswer: 865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -29 - (-1234 + 1185)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 546 - 548. Let s be (g - (-10)\/7)\/((-18)\/21). Let d = -1 - -0.8. What is the nearest to -0.01 in d, s, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 7*v**6\/60 - 13*v**5\/15 - 2*v**4\/3 - 18*v**2 - 1. Let s(x) be the second derivative of j(x). Factor s(o).\nAnswer: 2*o*(o - 4)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 12*h - 32. Let t be y(0). Let k = -129\/4 - t. Which is the third biggest value? (a) -0.2 (b) 1\/7 (c) k (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -5*f + 20, -3*f = f - 266 + 242 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4709168133 plus -0.28?\nAnswer: 4709168132.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(1\/(-2) + -1). Suppose 50 = c*o - 1. Suppose -2*w + 5 = -w + 4*d, 5*w = 4*d + 49. What is the remainder when o is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188c55b (base 14) to base 7\nAnswer: 205321044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -27*j**3 + 15118*j**2 + 1367*j - 138320. Determine w(560).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7390 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2784 and 150336.\nAnswer: 150336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 24\/1465, 376 in increasing order.\nAnswer: 24\/1465, 4\/3, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 6*w. Let o be g(6). Suppose d - 1 - 4 = o. What are the prime factors of (-2)\/d + 160\/25?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39246, -32986, -22560, -7962, 10814?\nAnswer: 33774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = 129*q + 208*q - 20590. Solve q*f = 72*f - 112 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 8*t - 23*t - 26 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 15978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 + 2*p**3 = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 - 2.3. Let v = -0.6 - p. Let y = v + -0.00004. Round y to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m + 42*m + 2*h = -53627, -10*m + 178749 = h. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 80*b**2 - 15*b + 100. Let o(v) = -22*v**2 + 4*v - 25. Give -22*o(t) - 6*q(t).\nAnswer: 4*t**2 + 2*t - 50","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 1849594861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30864, 30862, 30860, 30858, 30856?\nAnswer: 30854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(1*(-2)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -2*b**5 - 14*b**3\/3 - 18. Find the third derivative of t(d) wrt d.\nAnswer: -240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 5*t + 15. Let q be u(3). Suppose 110 = q*m - 16. Calculate the highest common factor of 182 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*o + g, 7*g - 57 = -2*o + 4*g. Calculate the highest common divisor of 312 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1556*m + 250*m - 33919 = 15971 + 40410 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 2*k**2 + 4*k - 3. Suppose -3*t - 45 = 2*t. Let y be (-24)\/t + 2\/(-3). Let o be j(y). Solve 2*q - 35 = -o*x, 0 = x - 4*x - 5*q + 40 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3539.146 - 3552. Let m = p + -0.386. Round m to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from {o: 2, c: 1, g: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 7:32 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*v - 856, 8*v = -2*k + 12*v + 892. Round k to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 4:15 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 251194972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - f**3 - 2 + 0 + f**2 to k*f**2 + i + y*f + m*f**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 30, 9, -30, -93, -186?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1493, 2902, 4311, 5720?\n\"Answer: 1409*f + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84104 (base 12) to base 7.\nAnswer: 1320136","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/8)\/(2\/(-24)). Let q = -2 + g. Suppose -5 - q = -n. What is the remainder when 17 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*l - 53 = 0, -p + l = 3*l + 5. Let t(q) = 5*q + 2. Let g(b) = 5*b + 1. Let w(v) = -5*g(v) + 4*t(v). What are the prime factors of w(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10079 (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8) + ((-218)\/(-56) - 4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8a673 (base 11) to base 13\nAnswer: -47979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000027598675 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 31 = -2*s, -2*s + 3*s = 4*b - 34. Let i be (-3)\/(-5)*(-6)\/b. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 2:24 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 115 = -k, -7*k + 2*k + 587 = -4*s. Let h = -116 + k. Let c(o) = 7*o**2 - 2*o + 1. Let u be c(1). Solve 0 = 3*p + 3*z, -p + 2*z = -u*p + h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4170 - -4173. Let l = -0.47 - -0.37. Which is the nearest to j? (a) -4 (b) l (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101010 + 1001?\nAnswer: -10000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*((sqrt(7) + 3)*-2 + -4))**2 + (((sqrt(343) + 1)*-2)**2 - sqrt(343))*-6.\nAnswer: -6206 + 346*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 13) in base 14?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 3060*w**2 - 142603*w - 847938.\nAnswer: (w - 3106)*(w + 7)*(w + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**3 + 546924*k**2 - 2187748*k + 1640820 = 0.\nAnswer: -136735, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - ((-2 - (1 - -2)) + (-69 - -76))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*h - 57, 2*r - 5*r = h - 30. Solve 0 = -4*s + r - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0*m - 6 - m + 4*m. Let y(b) be the second derivative of 4*b**3\/3 - 17*b**2\/2 + 35*b. Suppose -52 = 4*q - 8. What is q*v(a) + 4*y(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 10*f - 3*f**3 + 7*f**2 - 8 + 2*f**3. Let l be o(9). Is 1\/((-22)\/23 + l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-882)\/(-90))\/(-49))\/(8\/(-500)*-3).\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248 and 144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(-1))*j\/(j\/(j*j**19*j*j)) assuming j is positive.\nAnswer: j**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -69c?\nAnswer: -6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c5b (base 16) in base 5?\nAnswer: -213014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1467312, -1467309, -1467306, -1467303, -1467300?\nAnswer: -1467297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(14)*-3)\/sqrt(2).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/4, 2\/7, -0.18, 11?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 58259 (base 13) to base 2\nAnswer: 100111010000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + y. Let q be ((-6 - -3) + 3)\/1. Let g(k) be the third derivative of q*k + 1\/12*k**4 - k**2 + 0 + 1\/30*k**5 + 0*k**3. Determine 3*g(h) - 5*n(h).\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 3*p**2 + p + (50*p - 42 + 107*p + 42)*(-4*p - 3*p + 6*p) to w*p**2 + y*p + s and give w.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25 - -66.25. Let i = r + -58. Let z = -7.999964 + i. What is z rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + h + 7 = 0, 0 = -x - 17*h + 12*h + 13. Let d = -69 - -51.5. Let t = 18 + d. What is the third smallest value in t, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -854, -3162, -7652, -15050, -26082, -41474, -61952?\n\"Answer: -121*g**3 - 2*g**2 + g + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498, -499, -500, -501, -502?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**2*w**2 + 9226*r**2*w + 186632*r*w**3 + 5*r - w - 1 wrt w.\nAnswer: -4*r**2 + 1119792*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 12 + 13 + 0 + (21 - 1) + 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 22\/9 of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 1386?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98738*b**2 + 3*b + 435236?\nAnswer: -197476*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**3 - 5*o**2 + 5*o - 2. Let y be 8\/(-36) + 20\/9. Let b(t) = 3*t**2 - 7*t - 6*t**3 + 3 + 6*t**2 - 2*t**y. Give -5*b(j) - 7*p(j).\nAnswer: 2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 4 - (-21 + (-3808)\/(-140)). Which is the nearest to 0.3? (a) -0.2 (b) i (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 585 and 32931.\nAnswer: 2140515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 + 2003 = -c - i, 2*c + 5047 = -3*i. Let l = c + 5691. Is l 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 59 and 1180.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 895458.3*4\nAnswer: 3581833.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19409 divided by -20\nAnswer: -19409\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4158 = 15*t - 4173 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - sqrt(600)\/sqrt(300))\/sqrt(10) + (sqrt(10)\/sqrt(2)*3 - (sqrt(150)\/sqrt(3))\/sqrt(10)).\nAnswer: 14*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (1 + 1)\/2. Let s be 16\/(-10) + 4\/(-10). Let i be s - (0 - 2 - 0). Solve -3*q + 4*r - 5 = w, i*q - 3*q + 3*r - 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2. Let y(p) = -23*p - 3753491 + 3753491. What is m(y(i))?\nAnswer: -1587*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -6)\/(3465\/(-43935) + (15 - (-6062)\/(-406)))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 1824*u + 414072 = 0. What is u?\nAnswer: -486, -426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*i + 326 = 0, 0*i = 5*c + i - 1558. Suppose 2*u - c = -5*a, -5*a + 407 = 5*u + 87. What are the prime factors of a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3782*i - 185373. Give y(-49).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*(x\/(x\/x**21*x))\/x*x))\/x*x*x*(x**10*x)\/x*x**(-1\/17)\/x**(-3) assuming x is positive.\nAnswer: x**(-86\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101303022131 (base 4) to base 14.\nAnswer: 896629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24865 + 23525 = 15*k. Let x = k + 280. Suppose -4*c + x = 4*d - 9*c, -5*c = 5*d - 4405. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5277, 88, -1, -3 in decreasing order.\nAnswer: 5277, 88, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-8))\/(165\/30)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 15*o + 4 = -13*o, -3*u + o = 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**9\/1008 - b**8\/280 + b**7\/280 - 2*b**3\/3 + 3. Let u(o) be the third derivative of x(o). Find f such that u(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1445937 is divided by 261.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + h - 20 = 0, 3 = -3*h + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-4*(-5)\/40. Solve -4*o + 9 = g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21449, -21412, -21351, -21254, -21109, -20904?\nAnswer: -20627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 7. Let u be y(-5). Let j(c) = 3*c - 10*c - u*c. Let p(g) = 29*g - 53*g + 25*g. Determine j(p(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1883, -3648, -5411, -7172, -8931, -10688, -12443?\n\"Answer: v**2 - 1768*v - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 134, 163, 206, 269, 358, 479, 638?\n\"Answer: c**3 + c**2 + 19*c + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-68405\nAnswer: -205215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from ncnncnnn.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2\/8 + 93*s\/2 + 1917\/2 = 0.\nAnswer: -18, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -54. Calculate the least common multiple of ((-16)\/4)\/((-1)\/6) and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -13, -15, -15, -13, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 273 = 3*r - 308, -3*i + 32 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -685 + 684. Put 0.4, z, -0.19 in ascending order.\nAnswer: z, -0.19, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+1345\nAnswer: 1345.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33248)\/3744 - 2\/(-18). Let m = -889\/78 + s. Calculate the common denominator of ((-124)\/170)\/((-4)\/5) and m.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-48)*(-6)\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 50559, 50600, 50683, 50814, 50999, 51244, 51555?\n\"Answer: z**3 + 15*z**2 - 11*z + 50554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 14*r = r + 7*r. Let a(b) = -b**2 - 8*b + 2. Let x be a(-6). Solve y + k - 6*k - x = r, -3*k - 6 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*x + 2*o + 2, 0 = 3*o - 15. Let s(j) = -30*j + 7. Let z be s(x). What is the third derivative of 223*h**3 + 19*h**2 + 3*h**2 - z*h**3 wrt h?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/17 - 12*b**2\/17 - 32*b\/17 = 0 for b.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 0)\/(2\/(-4)). Let f = j + 3. What is the closest to -0.2 in 2, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26520881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:25 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -0*h - 3*h. Let w = 25 - h. Calculate the highest common divisor of 60 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 99 - 564. Let w = 156 + l. Let g = w - 32. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:53 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691*b = 693*b - 3*u + 8, 2*b + 4*u - 20 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -256, -407, -586, -799, -1052?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0.6 (c) -9\/115 (d) -4 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/9877 and 29\/25603508.\nAnswer: 435259636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-5) - (-234)\/15. Suppose 0 = 4*k - k - v. Solve -k*n = -n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**16\/c**(-18) assuming c is positive.\nAnswer: c**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.6. Let g = -1 - -2.1. Let o = -0.1 + g. Sort -5\/2, o, m in ascending order.\nAnswer: -5\/2, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 62 + r**2 - 52 + 6*r**2. Suppose 3*u = -u + 12. Let b(n) = 8*n**2 + 9. Let q(t) = u*g(t) - 4*b(t). Find the first derivative of q(f) wrt f.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0*g + 2*g**2 + 0*g. Let q(f) be the third derivative of f**6\/360 + f**4\/8 - 3*f**2. Let w(s) be the second derivative of q(s). What is r(w(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14070\/(-12600) - (-5)\/4.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -8 - 3. Let u = y + -9. Let k(g) = -u*g**2 - g + 0*g + g**2 - g. What is k(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -221? (a) -2 (b) 0.16 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112100 - -1022?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 1013?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 35044*r**2. Let s(a) = -3034*a. Determine w(s(h)).\nAnswer: 322585486864*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(2800)*-6 + -3 + -4*sqrt(2800) + 1)**2*-6.\nAnswer: -1680006 + 2400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = s - 219, -4*s - s + 5*c = -1095. Suppose -3*i + 442 = 52. Let p = s - i. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {b: 7, g: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 16*f**2 + 9*f + 21. List the prime factors of z(16).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12\/7*l**3 - 40\/7 + 108\/7*l + 40\/7*l**2 = 0. Calculate l.\nAnswer: -2, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105725 by -6.\nAnswer: 105725\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 510842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5\/22 (b) 1 (c) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 6*z - 1\/2*z**4 + 0*z**3 + 0*z**2 - 7. What is the derivative of w(n) wrt n?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193.3*-0.15.\nAnswer: -28.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/240828 and 61\/840.\nAnswer: 2408280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4325, 3985, 3645, 3305?\n\"Answer: -340*b + 4665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + r = 6, -4*f - f + 4*r = -15. Suppose -2*m = -f*m + 212. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttlootttttttt. What is prob of picking 3 t?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(891)*-1*1 + (((sqrt(66)*1 + sqrt(66) - sqrt(66) - sqrt(66)) + sqrt(66))*4)\/sqrt(6) + 4.\nAnswer: -5*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 313 + 367 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**2\/5 - 4134*j\/5 - 1656 = 0?\nAnswer: -2, 1380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5\/9 + 2866*j**4\/9 + 166054*j**3\/9 - 982414*j**2\/9 + 367706*j\/3 + 90860 = 0. Calculate j.\nAnswer: -59, -1\/2, 3, 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1116 in 0.2, -3, 2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-912)\/(-684))\/(2\/12)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-2\/7)))\/(g\/g**(-10)))\/((g**(-11)\/g*g)\/g*(g*g\/g**(-9)*g)\/g) assuming g is positive.\nAnswer: g**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 1\/8, -2\/17, -0.809, 5 in descending order.\nAnswer: 5, 2, 1\/8, 0, -2\/17, -0.809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243817717 to the nearest integer?\nAnswer: 15615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 16 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -95*n + 222. What is c(2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/30007 (b) -5 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 49*r + 28. Give t(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 497. Let y(n) = -27*n + 22798 + 28*n - 22798. Determine m(y(v)).\nAnswer: -v - 497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*y, 0 = -50*w + 53*w - 2*y. Solve 4*t - 11 + 3 = w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2589902, 2589882, 2589860, 2589836, 2589810, 2589782?\n\"Answer: -m**2 - 17*m + 2589920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 0, 93\/5, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3784 = m - 3*w, 2*m - m + 3*w = 3802. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -21*i**4 + 84*i - 85. What is the first derivative of g(k) wrt k?\nAnswer: -252*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 7040*c**2 - 2456825*c + 14995470.\nAnswer: -5*(c - 6)*(c + 707)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -503799.\nAnswer: -1\/167933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1188, -4593, -10212, -18045, -28092, -40353, -54828?\n\"Answer: -1107*p**2 - 84*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 6. Let y(x) = x**3 + 19*x**2 + 15*x - 47. Let a be y(-18). Give l(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3213, -6418, -9623?\nAnswer: -12828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -813515 by -162703.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -14748*z**2 - 35*z + 7. Let b be i(3). Round b to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 - 6*k + 0*k + 3*k + 2*k. Let x be j(-1). Do x and -4 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Factor h - 2*h**2 - 2*h + 3*h**3 - u*h**3 + 2*h**4.\nAnswer: h*(h - 1)*(h + 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2 - 3*f + 4. Let z be r(2). Let j = z - -34. Suppose 6*c = 102 - j. Calculate the remainder when 29 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 34*k - 1. Determine z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 15, -30, 0 in descending order.\nAnswer: 15, 5, 0, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a77 (base 11) in base 10?\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 8 - s - 10 + 2*s**3 + 22 to w + n*s**2 + t*s**3 + b*s and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5 + 1012*r**4 + 20727*r**3 - 89370*r**2 - 427248*r = 0 for r.\nAnswer: -23, -3, 0, 6, 1032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.9793 - -0.0207. Which is the third biggest value? (a) -1 (b) 1.6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29024580 and 44577.\nAnswer: 261221220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 612773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -1 + 24 + (9 - 16)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, x: 2, e: 3, m: 1, d: 1, p: 1}. What is prob of sequence xd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -20409 (c) 2\/5 (d) 0.203\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 491855038 to the nearest integer?\nAnswer: 22178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ces when three letters picked without replacement from {c: 3, j: 5, s: 9, e: 2}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-125))\/((-15)\/100).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 10381186?\nAnswer: 10381204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1\/(6 - 4)*-5. Suppose 5*k = s + 6, k + 2 = -s + 14. Suppose s = z*f + 4. Which is smaller: -2\/87 or f?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3574 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -3, 0.4, 114, -0.06375?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/114956 and -1\/1321994.\nAnswer: 2643988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28009*v**2*x - 12*v**2 - 84861*v - 7*x wrt v?\nAnswer: 56018*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 57 + 3. Solve -a = -4*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1265 divided by 55.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/((-2 + 1)\/1). Let a = f - -21. Suppose 33 = a*k - 21. What is the greatest common divisor of 72 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2231 and 33624662?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*w + 1436, 234 - 1311 = -3*q - w. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 15 - 29 = 0. Let r = p - 7. Suppose r*y - 54 = -5*t, 25 = 3*y - 2*t - 2*t. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/2))**(-43)\/(((i*i*i**(-1\/4))\/i)\/((i*i\/(i*i\/i**0))\/i)))**15)**(-2\/101) assuming i is positive.\nAnswer: i**(-1185\/202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 20570*k**2 + 8*k**3 - 20570*k**2)*(3*k**2 + 4*k - 4*k).\nAnswer: 24*k**5 - 102*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**27)**(-2\/7) assuming b is positive.\nAnswer: b**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018623 to four dps.\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82 or 2?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12*10\/180*-6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154005465?\nAnswer: 3, 5, 17, 173, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*2\/(8\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1831539, -3663081, -5494623, -7326165, -9157707, -10989249?\n\"Answer: -1831542*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 + -5 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 v when four letters picked without replacement from qvqvqqqvqvqvqvqvvvv?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + i = 3, 2*b - 3*b + 12 = 4*i. Suppose b = -p - 16 + 38. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*r - 2 - 22, 5*g - 2*r = -138. What is the remainder when -3*(1 - 0) - 2520\/g is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = n - 15 - 4, 3*n = -2*k + 18. Solve 3*z = k + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 2, 4*t - 20 = 7*w - 4*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.245 (b) 0 (c) 4 (d) -5 (e) 0.5 (f) 4\/3 (g) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-16)*(24\/(-18) - -2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - w**2 + w + 2. What is q(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3666.2 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 19*b + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*b**3*g**2 - 2749*b**3*g + 303*b**3 - 3*b**2*g**2 - 2*b**2 - 4*b*g**2 - 145*b - 29 wrt b?\nAnswer: 78*g**2 - 16494*g + 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21681 and 45630.\nAnswer: 36640890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*v - 26*v + 268. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 10, -3*h + 35 = -5*n - 2*h. Let i be 42\/(-56) - n\/8. Suppose i = 5*t - 75. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 7*m**2 - 19*m + 3. What is j(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -19*t**3 - 2*t**2 - t. Let l(o) = 20*o**3 + 3*o**2 + o. Determine -2*l(a) - 3*x(a).\nAnswer: 17*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3335 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 13*m**2 + 110*m + 37. What are the prime factors of y(15)?\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 + 36*h**2 + 40*h + 164. Let o be u(-17). Which is the second biggest value? (a) 1 (b) 0.03 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4494)\/(-88) - 584205\/11455?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 605 + 623. Let u = r + -849. List the prime factors of u.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271130459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)*3*-4)\/(-6*(sqrt(72) + -3*sqrt(72)) + sqrt(72)).\nAnswer: -8*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 - 7*z - 26. Let s(b) = b**2 - 2*b - 9. Give 2*k(p) - 7*s(p).\nAnswer: p**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/4 + 45084*b**2 + 360675*b\/4 + 90169\/2.\nAnswer: -(b - 180338)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-1)\/(4\/144). What is the remainder when 22 is divided by (5\/(-15))\/(1\/s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -344.8 to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*(-60)\/490*-7.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -205 + 187. Is 28 a factor of 174\/(-54) + 3 - 5206\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36860626 is divided by 644?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-2)*(-24)\/72)\/(-2). Put 0.179, f, -1\/2 in descending order.\nAnswer: f, 0.179, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5008*u - 370682. Determine b(74).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**3 - 6*q**2 - 6. Let x(w) = -55*w**3 - 85*w**2 - 85. Determine 85*d(b) - 6*x(b).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*w**2 + 32*w**2 - 26*w**2 + 58*w**2 to j*w + z*w**2 + m and give z.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - -4.05. Suppose 0 = 3*q + i - 37, q + 1 - 5 = -2*i. Let v be 1 + 0 + q\/(-10). What is the second smallest value in v, -4, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24779 is divided by 12239.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 + 4) - -4 - (51 - (-102 - -109))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (36\/(-6))\/36\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204 + -145. Let o be (-2)\/(-4)*(w - 1). Suppose l + 0*l = -3*r + o, 2*l - 49 = -5*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/5 - 71*z**4\/5 - 29*z**3 - 73*z**2\/5.\nAnswer: z**2*(z - 73)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000857036 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13275 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6441, 45, 2\/7, -3\/4 in descending order.\nAnswer: 45, 2\/7, -3\/4, -2, -6441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(6864\/632) - 108\/234.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 335 = 2*o, 0 = 5*s + 5*o - 142 - 193. Suppose j = 2*y - 33, 13*y + 2*j - s = 10*y. Solve -y = k + 3*h, 2*h - 6 = -0*k + 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, k: 7, i: 2}. What is prob of picking 2 d and 2 k?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 119?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vke when three letters picked without replacement from {k: 10, v: 2, e: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 297 + 4 + -2 + (2 - 1). Let k = m - 199. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8 + (-55)\/20 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/2)\/((-2)\/20). Let r = -358 - -361. Suppose 3*a = 5*t + a - q, 5*a - 14 = -r*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 + 4*i - 4*i - 6*i**2 + i**3 as w*i**2 + l*i + q + o*i**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1960, 6726, 14684, 25846, 40224, 57830, 78676, 102774?\n\"Answer: 2*c**3 + 1584*c**2 + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*m**2\/7 + 696*m\/7 - 654.\nAnswer: -6*(m - 109)*(m - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d + 126 = -82*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 147134563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 2. Solve -2*a = -s*h, 0 = -0*a - 4*a + h - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 537711 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 3737, 0.3, 14, 4?\nAnswer: 3737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1160.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 2*b**2 - 8*b - 5. Let l be y(-5). Let o = 157 - 346. Let d be l\/(-6)*o\/6. Round d to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -3*x**2\/2 - 24*x - 197. Calculate i(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 - (-1 + 3 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3)*y*y)**(6\/19)\/(y*y\/(y*y**0)*y*y*y)**(-2))**4 assuming y is positive.\nAnswer: y**(584\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.32665 + -0.02665. Which is the closest to -0.3? (a) -0.17 (b) 4 (c) -1\/6 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -418 - -418. Suppose 9 = 4*a + 1. Solve a*w - 6 = -v*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*t - 27*t + 51*t + t - 6*t + 3*t + (-1 + 0 - 1)*(0*t - 2*t + 3*t).\nAnswer: 59*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 33*j - 2*i + 5 = 0, 2*i - 12 = -4*j. Is -3\/9071 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7969, 7970, 7971, 7972?\nAnswer: 7973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41786 rounded to the nearest 100?\nAnswer: 41800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**4 - 4275*m**3 + 25470*m**2 = 0.\nAnswer: 0, 6, 849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 69320 - 24330. What are the prime factors of c?\nAnswer: 2, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 a factor of 1851030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212202 (base 3) to base 10.\nAnswer: -641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 6*k + 20. Let j(q) be the second derivative of q**3\/3 + 3*q**2 + q. Calculate the lowest common multiple of j(6) and p(6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 + 10*t + 1. Calculate the remainder when z(-4) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179862.\nAnswer: 2, 3, 31, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkvkvvkkkkkvkkvkkkk.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 (base 11) in base 5?\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125 and 5.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. What is the biggest value in 5, h, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*a = -388, -3*h + a = 6*a - 615. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 63\/14 + 9\/(-2). Let x(d) = 3*d + 6. Calculate x(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/22)\/(35588\/(-5284818)).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - c = -4*c + 11, -6 = -3*f - c. Let g be (f - 0)\/(1\/90). Suppose r - 18 = 5*n, 5*r + 0*r - 2*n - g = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 89*z + 7921\/2.\nAnswer: (z - 89)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/3316 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6521092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-324)\/(-270)*5\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -9\/5 (c) -8 (d) 0.64 (e) 0.06 (f) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 6. Let t = o - -3. Calculate the greatest common factor of t and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - -2. Let s be (-2)\/(-132) + 2\/y. Which is the second smallest value? (a) 1\/8 (b) s (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 33. What is the tens digit of ((-10)\/b)\/((-1)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 7*q + 5. Let n be w(6). Let h(k) = -k + 6. Let i(g) = -g + 6. Let s = -135 - -131. Let p(r) = s*h(r) + 3*i(r). What is p(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -3 - (-8 + (21 - 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673 = 3*b - 515. Suppose -19*l + b = -8*l. What is the least common multiple of l and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*g = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 451612135?\nAnswer: -451612130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/5, -1\/5, 1\/4, 38850 in increasing order.\nAnswer: -1\/5, 1\/4, 12\/5, 38850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3100 (base 5) to base 8\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002923 to six dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 1, k: 1, t: 1, h: 1, x: 2}. Give prob of sequence ka.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1812 and 87429?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 57. Let t(m) = -474*m + 10. Let r(u) = -562*u + 12. Let z(a) = 5*r(a) - 6*t(a). Give z(p(b)).\nAnswer: -68*b**2 - 1938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 584 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*u + 1. Is (-237)\/(-3) - (-2)\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 15. What is the third derivative of -9*n**3 + 0*n**5 + 9*n**3 - x*n**2 - 4*n**5 wrt n?\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {w: 1, s: 2, l: 1, f: 1, o: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-132)*((-29791)\/82 + 1). Let a = d - 2\/41. Let h = -22 + a. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 51 - 33. Suppose -p*m + 27*m = 434000. What is m rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 - 3*z**3 - 2*z**3 - 3*z**3 + 4*z**3 - 2*z**3 + (-2*z**2 - z**2 + z**2)*(4*z - 3*z - 2*z) + 114 + 113 - 150*z**3 + 148*z**3.\nAnswer: -3*z**3 + 227","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - -5)\/((-4)\/(-6)). Suppose -2*c - d = -5*c. Suppose -c*q + 3*q + 5*k = -6, 2*q + 2*k - 6 = 0. Solve 2*m = q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (72 - (53 + 2))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and 490622.\nAnswer: 73593.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/(3\/45). Put s, -1, 5 in ascending order.\nAnswer: s, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 32*i**2 - i + 1. Determine u(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174 - -166.15. Let u = m + 7.8. Which is the closest to 1\/3? (a) 3 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 396*i**6 - 3*i**3 + 1556*i**2.\nAnswer: 47520*i**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72\/(-60) - (-48468)\/15.\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 2*w**2 + 6*w - 1. Determine v(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 801032 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10)\/(b\/b**(-3)))**(8\/5) assuming b is positive.\nAnswer: b**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = 2*a, 3*z + 3*a - 4 = -2*z. Suppose -4*c - c = 0. Suppose 12 = j - c*j. Solve 0 = 2*x + z*x - j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 125877, 503462, 1132747, 2013732, 3146417?\n\"Answer: 125850*z**2 + 35*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(44)*3 - sqrt(66)\/sqrt(24)).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2958 and 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1539) + -1 + 1 + sqrt(1539) - (sqrt(1539)*1 + -4)) + -6*-3*sqrt(1539)*-4 + 2).\nAnswer: -12 + 1278*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i**2 + 3*i + 6. Let s be m(3). Let h be (-24)\/(-44) + (-72)\/s. Are h and -2\/1083 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*w**2 + 12*w**2 + 698*w**2 + 450*w**2 to f*w + a*w**2 + j and give a.\nAnswer: 1315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/174*-6)\/(2\/((-16)\/1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11114 (base 8) to base 12\nAnswer: -2864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*h = 390*h + 22828. Does 28 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4\/4 + 749*y**3 - 274164*y**2 + 35534924*y - 1560358444 = 0.\nAnswer: 134, 2594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -5, -1\/2, 6.82?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l**3 + 1 - 1 + 34*l**3.\nAnswer: 64*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1223577 or 1223576?\nAnswer: 1223576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + -11 + 9 - (6 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 + -132.5. Let t be ((-2)\/1515)\/(2\/(-6)). Let n = t - -1501\/3535. What is the second biggest value in g, n, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 16, 62, 134, 232?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 78*l - 36 = 174*l - 98*l, 0*l - 7 = r - 4*l for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 614 + 8384. Is (-1 - (-2)\/4)\/((-21)\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105505.7507 - 105513. Round g to 2 dps.\nAnswer: -7.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 1)*(h - h + 2*h) - 7*h + 3*h + 3*h + (0*h - h + 3*h)*(-3 + 1 + 1) + h - 2 + 2 + 4*h - h - 5*h + 2*h + 2*h - h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2. Let b(l) = 70*l**2 + 352*l - 2. Calculate b(w(v)).\nAnswer: 280*v**4 - 704*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 255 = -0*d - 5*c, -486 = -2*d - 2*c. Let t be d\/9 + ((-40)\/(-45))\/(-4). What is the greatest common factor of 243 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -114.2 times -110\nAnswer: 12562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 31. Differentiate 4*c**4 - 7 - 18*c**r - 4 with respect to c.\nAnswer: -56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7))**(-4)*b**(4\/5)\/b*b**(-2\/3)*b assuming b is positive.\nAnswer: b**(-106\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1208 + -1147. What is the remainder when (23 - -1)*3\/(24\/58) is divided by x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 1016406690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29023 - 29023 - 261*w to q*w + g and give q.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85641481?\nAnswer: 53, 383, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*q - 3*m = -25, 4*m - 108 = -4*q. Let s be 7\/(q\/12) - -1. Suppose 0 = s*a - 30 + 14. Solve a*u = 3*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23907057\/260 + 91950. Let p = 2\/65 - z. Factor -p*a**2 + 1\/2*a + 0.\nAnswer: -a*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 4*u + 2*d, -4*u = -2*d - 656 + 538 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/6 - 2) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 273*p**2 + 21*p + 5. Let k be d(2). What is the highest common factor of 67 and k?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(363) + -2 - 6*(-2 + sqrt(363) - sqrt(363)).\nAnswer: 6 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68545*q**3 - q - 322442?\nAnswer: 205635*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 7011 + 7000 + 7004 - 21015.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 6. Let b be ((-20)\/200*10)\/(174\/86 - 2). Is b bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3512 = 2*c, -35*k + 34*k = 4*c - 3494. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53121.\nAnswer: 3, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1519454254 to the nearest integer?\nAnswer: 38980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4 + (-1 - 3) + 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + y + y + 2*y + 1 - 1 + (-1 + 3 - 1)*(-y + y + 2*y) - 2*y + 5*y - 4*y + (0 + 3 - 4)*(-y - 2*y + 5*y)*(3 - 1 - 6) to d + o*y and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17595.\nAnswer: 3, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/7 in 0.4, -0.4, -0.04, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -10. Suppose -5*m - 9 = -h + c, 4*m + 20 = 2*h. What is the least common multiple of h and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/1071 and 4\/1547.\nAnswer: 13923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 - (-1 - 7)) + -7 - -24.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/47? (a) -3 (b) 2\/11 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2583575927 - 29227994481358\/11313. Let c = g - 18\/419. Calculate the common denominator of 49\/27 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {n: 7, p: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3919*j**2*r**2 + 7*j**2 - j*r**2 + j*r - 366*j + r**2 wrt j.\nAnswer: -7838*r**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -807, -1740, -2659, -3558, -4431?\nAnswer: -5272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 196217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 = 1. Let u be (3\/6)\/(p\/(-36)). Let j = u + 19. What is the smallest common multiple of j and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 + 2.3. Let y be ((-2)\/(-8))\/(3\/(-4)). Which is the nearest to 0.1? (a) d (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t + 15. Determine s(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 297936314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 903393, 903425, 903459, 903495, 903533, 903573, 903615?\n\"Answer: p**2 + 29*p + 903363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 92*j + 94*j = -18, 3*j + 29 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**(-7))\/(t\/(t*t**5\/t)))**(-1\/23))**(-24) assuming t is positive.\nAnswer: t**(312\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23640950 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -34.966. Let q = j - -0.03. What is q rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -106, -124, -152, -190, -238, -296, -364?\n\"Answer: -5*s**2 - 3*s - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 54 = -4*x, 80*x - 84*x + 3*r = 49. Let f(v) = 0*v**3 - 36*v + 11 - 18*v**2 + 4 - v**3. Is f(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 1272 = 7*s. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7773*f = -67720 + 1054891 for f.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 373\/21689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9688*q + 100. Let i be t(-25). What is i rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 1. Let h(f) = 4*f + 2. Let w = -1004 + 1007. Let j(q) = 5*q + 2. Determine d*j(p) + w*h(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4770\/11 in 3, 1\/2, 0.499?\nAnswer: 0.499","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2. Let k(h) = -h + 1. Let b(i) = 16*i - 5. Let r(o) = 2*b(o) + 10*k(o). What is r(d(u))?\nAnswer: -66*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n**3*p**3 + 30*n**3 + 1333*n**2*p**3 + 35*n wrt p?\nAnswer: -6*n**3*p**2 + 3999*n**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 122*c**3 + 8*c**2 - 9*c + 22. Is g(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**7\/3780 + 13*x**6\/1620 + 71*x**3\/6 - 6*x**2 - 5*x. Let r(m) be the first derivative of k(m). Factor r(f).\nAnswer: 2*f**2*(f + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5250 divided by 350?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80)*3 - (sqrt(80)*2 - 3*sqrt(80)))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29\/15 - -8\/5. Let z = -0.23 + 0.03. What is the biggest value in z, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152515 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y - y + y)*(2*y + 3*y - 4*y) + y**2 - 4*y**2 + 0*y**2)*(0*y**2 - y + 4*y**2 - 6*y**2).\nAnswer: 2*y**4 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 6*f - 2*f + (3 - 5 + 0)*(3*f + f - 6*f) + (-3 + 4 + 5)*(-2 + 2 + 2*f).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 1634594.074 and 0.548.\nAnswer: 1634594.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*v**2 + 88*v**2 - 17*v + 2 + 83*v**2 - 16*v**3 - 362*v**2 + 101*v**2 to g*v**2 + f + k*v + x*v**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54.9079 and -0.17.\nAnswer: -9.334343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -17*o**5\/20 - 39*o**3\/2 + 1675*o**2\/2 + 729*o + 1. Differentiate z(m) with respect to m.\nAnswer: -51*m**2 - 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6127 - 0.4.\nAnswer: 0.2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(931) + 0)*1)**2.\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66801 is divided by 1044?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2185 = 12183*k - 12206*k. Solve k*g - 96*g + 5 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + z**2 + z - 36. Determine h(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02797861 to 3 dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14.7, -4, -2, -3, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 12*g**2 + 7*g - 57. Let s be d(-11). What is the tens digit of 97*17 - (s - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -2*z, -3*x - 11 = -5*z - 4. Suppose -65 = z*i + 7. Let t = -3 - i. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3 + 0)*(-2*r - r + r) + 4 - 2*r - 4 + (-4 + 3 - 1)*(-18*r - 29 + 29))*(r**2 + 5*r**2 - 4*r**2) in the form g*r**2 + n*r + l + s*r**3 and give s.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -64*l**2 - 32*l + 488. Calculate d(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159728.\nAnswer: 2, 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 7*d. Let b = 1 - -2. Let n be m(b). Suppose 0 - n = -j. Calculate the greatest common divisor of j and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + -63 + 56 + -3\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 7*j**3\/2 + j**2 - 2*j + 40. Give t(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/7)\/k**(1\/5))\/((k*(k*k*k**(-3\/8))\/k*k)\/k**(-5)))\/(k*k**(1\/10)*(k*k\/(k*k**(1\/8))*k)\/k*k)**(-16) assuming k is positive.\nAnswer: k**(11177\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:08 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((44\/(-66))\/(4\/(-6)))\/1. List the prime factors of 64\/480 - (5158\/(-15) - c).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 21523 = -43418. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -17*q. Let g(o) = -18*o - 735. Let f be g(-41). Let n(s) = 391*s. Calculate f*n(x) + 68*b(x).\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 1768.6.\nAnswer: 1755.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.06114.\nAnswer: 0.006114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p - 4*a = 29*p + 8, -3*a = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24434896 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a9 - 2a?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2483728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 742 - 183. What is the greatest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.2 and 267 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-4290))\/(1\/3).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26.37037ug?\nAnswer: 26370.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-16)*d**(1\/36))**(-13\/8) assuming d is positive.\nAnswer: d**(7475\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 0.1 (b) 16 (c) -3\/16 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1031*j**2 - 11. Let q(f) = 3*f. What is b(q(t))?\nAnswer: 9279*t**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.004\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(0 + sqrt(99) - sqrt(99)) - sqrt(99)) + sqrt(99))*5 - (2*(sqrt(99) + 1) - (sqrt(99) + -3*(sqrt(99) - -1*sqrt(99)) - sqrt(99))))**2.\nAnswer: 96*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 11:54 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + -119. Let z(r) be the first derivative of -2\/3*r**3 - 1\/2*r**4 + x*r + 2\/5*r**5 + r**2 + 1. Factor z(w).\nAnswer: 2*w*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, c: 3}. Give prob of picking 4 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/(-21))\/(28\/(-6)). Let t be 0 - (2\/(-14) - 0). Put t, -4, i in ascending order.\nAnswer: -4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13825 and -24.\nAnswer: -331800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 5. Let m(j) = 18*j**3 + 2*j**2 + 4*j + 3. Let v be m(-1). Let t = 23 + v. Determine r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 + 88.4. What is the nearest to 0 in -0.2, o, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*y + 595, -4*y + 516 = -3*u + 1426. Calculate the least common multiple of 682 and u.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*c - 130*c = -65. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 2*g**2 - g + 1. Let n = 4 + -2. Let w be m(n). Calculate the remainder when w*2 - (-2 - 17) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*f + o + 7 = 0, 5*f + 5*o = 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131240041 - 4?\nAnswer: -131240100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q*(q*q**(-2)*q)\/q*q)))\/q)**(-49))**(-2\/7)*((q**(1\/13)*q)\/q**(-2\/35))**45 assuming q is positive.\nAnswer: q**(4644\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 + 19*c - 1. Let w(m) = 5*m**2 + 18*m - 1. Determine -4*i(q) + 5*w(q).\nAnswer: 5*q**2 + 14*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k\/((k\/(k\/(k\/(k\/(k\/k**10*k)))))\/k))\/(k**(2\/17)\/(k*k\/(k\/(k*k*k**(-2)\/k*k))*k)) assuming k is positive.\nAnswer: k**(640\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b, -3*x + 17*b = 2*x + 8*b + 20. Sort x, 10, -7, -5, -1.\nAnswer: -7, -5, x, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2. Suppose 4*f + 2*a - 20 = 0, -a = 5*f - 1 - 18. Let p = f + -2. Let q(k) be the first derivative of k**3 - k**2\/2 + 1. Give p*q(y) + 4*g(y).\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1))**(-6\/25)\/(f*f**(1\/2)\/f)**(3\/41) assuming f is positive.\nAnswer: f**(-1059\/2050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.43773098989+0.2\nAnswer: 2.63773098989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**2*z**2 - 29*b**2*z + 12542*b**2 + 11*b*z**2 - 639*z + 9 wrt b.\nAnswer: 12*z**2 - 58*z + 25084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**3 + 19 - 3*f - 12*f**3 + 12*f**3 - 20 as j + z*f + g*f**3 + d*f**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 0 + 1\/6*r**4 + 1\/2*r**2 - 3*r + 0*r**3. Let w(b) = b**2 + 1. Give 3*j(o) - 4*w(o).\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 1. Let f be z(-1). Suppose -2*x + 16 = f*x. Suppose 22 = x*d - 2*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20443301 (base 7) in base 8?\nAnswer: -6451247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/10, -5, -2, -4367?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*j + 94*j - j**2 + 2*j**2 + j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {l: 4, i: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 9 = 3*l, -2*l - 3004*k + 3005*k + 17 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 1. Suppose -l - 2*l - 2*q = 49, 5*l + 67 = 4*q. Let x be o(l). Let a be x\/(-6)*(-3)\/1. Solve a*h - 10*h = -10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, -22, -58, -114, -196, -310, -462, -658?\n\"Answer: -z**3 - z**2 - 12*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 3 + 1 - 2 + (y**2 - y**2 + 2*y**3)*(221 + 17*y - 221).\nAnswer: 33*y**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyud when four letters picked without replacement from wzyzdzwydwzzuzuuyuz.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(-5*sqrt(50)\/sqrt(10) - sqrt(50)\/sqrt(160)))**2 + 3.\nAnswer: 2229\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/7 + 8098*r\/7 + 16394401\/7.\nAnswer: (r + 4049)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 2 - (0 - (-2 - 0)). Let g be 1 + 0 + -1*2. Let x be (g + 1)\/(j - -3). Solve 0 = -x*a + 4*a + 8, 5*a = 5*r - 30 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5450*j**2 - 3*j - 4. Is i(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 405 and 397599?\nAnswer: 53675865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 449*w**3 + w**2 + 2*w - 7. Suppose -u = -2*q, -5*q + 0*u = u - 14. Is n(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f - 1052 = 808. Calculate the lowest common multiple of f and 1656.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*l**3 + 94 + 45*l**3 - 94.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683*p - 2*d + 24 = 680*p, 2*d - 12 = 0. Let z(o) = o**3 + 7*o**2 + 5*o - 2. Let k be z(-6). Let s(b) = -3*b**2 + 5 - b + k*b**2 + 8*b. Determine s(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1129 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1. Let y(d) = -d - 1. Let r be 1 - -2 - (-1 - -1). Let o(h) = r*y(h) + 4*p(h). Differentiate o(m) wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22742184 divided by -5685546\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 1:55 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 26. Let v = -66.5 + 66. Let t = -6 - -3. Which is the smallest value? (a) v (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Suppose -4*h + r = n, -6*r + r + 20 = 2*h. Determine l, given that 9 + 0*l + 15*l + 3*l**2 + h*l**3 - 2*l**3 - l**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/12 and -39\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6572537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 5*s**2 + 4*s. Is 14 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvgg when four letters picked without replacement from mevggmvvvm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 14 + -16 - (-12 - -25).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**19*v**21)\/(v**45*v**25) assuming v is positive.\nAnswer: v**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-2) - (-6 - 14\/(-1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/21)\/((-54)\/(9072\/280)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 842 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -286895.6375 - -302524. Let c = 15527.362541 - p. Let y = -101 - c. Round y to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + 0. What is k rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2240675*m**4 - m**2 - 4887912 with respect to m.\nAnswer: -8962700*m**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197789 is divided by 694?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 114 (b) -33 (c) -31 (d) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8283 and 51249.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355\/(-1775)*(-4)\/(-6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14455 + -14455.1. Sort -3, -241, 9, s, -0.5.\nAnswer: -241, -3, -0.5, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -31*y**2. Let i(w) = 709*w**2. What is o(i(z))?\nAnswer: -15583111*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1714760541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/2 + -1)\/(-1). Solve -x + 3*u + 10 + 1 = d, 4*u + 23 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n - 29 = 4*v, -5*n - 5*v + 20 = 0. Let t = 73 - 70. What is the lowest common multiple of t and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1431 + 423 = 126*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 28. Let u be 2 - 2\/((-8)\/a). Suppose 3*m + 5 = -4, -4*g = -4*m - 4. What is the closest to -1 in g, 2, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n - 2. Let l be s(0). Let v = -7 + 6.8. What is the closest to l in -5, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 265 - -401. Suppose -p = k + 1584. Let v be (k\/(-105))\/((-1)\/(-854)). What is v rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13087 or -8?\nAnswer: 13087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - o**2 + 115 - 64.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 20*v - 62. Calculate g(21).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.867791 rounded to two decimal places?\nAnswer: 65.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 381 - 329. Let u(o) = 12*o - 1. Let a be u(4). Suppose s - q = -h, 0 = 2*s - 4*h - 33 - a. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-8 - -6 - (-2 - -3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24441102 (base 5) to base 7\nAnswer: -1662634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 5*t**4 - 3*t**4)*(-2 + 2 + t) - 66701600*t**3 + 66701600*t**3 - 8217*t**5.\nAnswer: -8216*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.088? (a) 2\/9 (b) 8 (c) -4\/3 (d) -6\/1673\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 14. Let l be 3 - (2 + w\/1). Suppose -5*y - f + 30 = 0, l*y - 4*f + 25 = 73. What is the least common multiple of 5 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from bybttbtbbtbbbttbty.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 > -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2154946?\nAnswer: 6464838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -58*s - 2415. Let j be b(-66). Calculate the greatest common divisor of 785 and j.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqq. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123 - 127. Which is the closest to -1\/3? (a) -1\/4 (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/3 - 8\/12. Let x be 0 - (8\/6 - l). Let c = -0.9 + -0.1. What is the closest to -0.1 in x, 0.4, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - 1295\/(-6)) + (-4)\/(-24)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/(-9))\/(6\/9). Let f be ((-10)\/3)\/(6\/(-45)). Suppose 0*q + f = g*q. What is the biggest value in 0.4, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, -2.5, -1, 2.9, 94, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 2*c**3 - 3*c**2 - 7*c - 49. Calculate the remainder when z(4) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 2*o - 18 = 3*x, 5*o + 4*x = -23 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 641835000 to the nearest one million.\nAnswer: 642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**3 + 142*q**2 - 22*q - 22. Determine y(23).\nAnswer: 1588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2 + 3*n + 21*n + 11*n + 7. Let q be a(1). Calculate the highest common divisor of 32 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 191 - 206 = 3*u, -2*u = -2*m - 14 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3087 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1976900 and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29652661000 rounded to the nearest one million?\nAnswer: -29653000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 371 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(475) + 3)**2.\nAnswer: -1452 - 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -4\/5, 53.9 in descending order.\nAnswer: 53.9, 3, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*p, -b + 4*b - 27 - 62 = b - 5*p + 12 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*h + 88. Let n be (158\/3)\/(6\/9). Let b = n + h. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*w - 8 - 1, 0 = -3*c + 2*w + 22. Suppose -c*p = 12, d - 4*d + 186 = p. What is the least common multiple of d and 2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2 - (-5)\/4). Suppose -484 = -p*v - 16. What is the remainder when v is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2187*t**4 - 10*t**3 - 184*t**2 + 7*t - 9 wrt t.\nAnswer: -52488*t - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -2 - sqrt(448))*6*1 - ((sqrt(490)*2)\/sqrt(10))\/(sqrt(7) - ((1*sqrt(175) - sqrt(175)) + sqrt(7) - sqrt(7))).\nAnswer: -12 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at least 1\/38100609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.00396 at least 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2749 + 2720. What is the fourth smallest value in m, 3, -0.2, 0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/120 + 3*a**5\/20 - a**4\/12 - 11*a**3\/6 + 118*a**2 - 3. What is p(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, 3\/28, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**6 + 5746*l**5 + l**4 + 575*l**2.\nAnswer: -240*l**3 + 344760*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - a + 125. Let p = -54 + a. Let b = p + 48. Solve -4*g = -d - 11, 2*d - 7*d - b = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-14)*(1 + 6*(-1)\/2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**4*n))\/n*n**0)**50 assuming n is positive.\nAnswer: n**(-250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihikhhhki. What is prob of sequence hi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 162\/(-8) - 2\/(-8). Let r be -3 + 8\/4 - -2. Let k be (-5)\/o - r\/4. Solve k = 2*a - a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -110, 22415, -5 in decreasing order.\nAnswer: 22415, 0, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9187958191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 483, 2, 95, -5, -2 in increasing order.\nAnswer: -5, -2, 2, 95, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 3. Let b(i) = 5*i - 4. Let r(n) = n**3 + 19*n**2 - 3*n + 43. Let x be r(-21). Let d = x + 770. Give d*v(p) + 5*b(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7290030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) 26 (b) -1\/9 (c) 0.23 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and 402?\nAnswer: 401.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 10) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-11 + -3 - -19) + -2 + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a - 39. Determine c(19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2*l**2 - 3*l**2)*(700 - 2413 - 3064).\nAnswer: 9554*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245391.1 decades to years.\nAnswer: 2453911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1\/3, 40\/551 in decreasing order.\nAnswer: 2\/3, 1\/3, 40\/551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 15*g**2 + 3*g + 29. Let q be i(15). Find the third derivative of 39*u**3 - 151*u**2 + q*u**2 + 92*u**2 wrt u.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 17*u**5 + 109*u**4 + 42*u**3 + 2*u**2 - 2*u. Let t(k) = 35*k**5 + 217*k**4 + 84*k**3 + 5*k**2 - 5*k. Let h(a) = 2*t(a) - 5*z(a). Factor h(p).\nAnswer: -3*p**3*(p + 7)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (5 - 10 - (-49 - -58)) + -16\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/2262 + 4529\/11310. Solve -2\/5*u**5 + 0*u - 6\/5*u**4 + 6\/5*u**2 + 0 + k*u**3 = 0 for u.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -5\/3 (c) -5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 2232002321?\nAnswer: 2232002310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 14*f + 264. Suppose -3 = -2*p - 7, 2*z = -3*p - 4. What are the prime factors of z*-3 - (f - 0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -2 - 4\/(-1). Let h = 10394.3 + -11042. Let w = h - -648. Which is the biggest value? (a) o (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711954 divided by 18?\nAnswer: 39553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 144772 = -144922 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 824*f**3*g**2*o + 2*f**3*g + 34*f**2*g*o**2 - 7*f**2*o + g**2*o**2 + 3*g*o**2 + 2*o**2 wrt g?\nAnswer: 1648*f**3*o + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w + 6*w - 6*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 3*l + 17 + 99 + 95 + 5.\nAnswer: -8*l + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, t: 1, y: 4, j: 5}. Give prob of sequence yxty.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 426*h + 297. List the prime factors of g(7).\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -35\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43476, 43475, 43474, 43473, 43472, 43471?\n\"Answer: -n + 43477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8892839941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -74.7365.\nAnswer: -224.2095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b + 2*b)*(11*b**4 - 2*b**3 - 14*b**3 - 8*b**4).\nAnswer: 6*b**5 - 32*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51, -87, -93, -69, -15, 69?\n\"Answer: 15*d**2 - 81*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1 - 1077*n**2 - n - 2 + 1079*n**2. Let w be f(2). Solve -k - 2*q = -7*q + 24, w*k = -3*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (24 - (1 + (3 - 6 - -7)) - 10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (682 - 682) + -1 + -63 + 0\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - -1 - -30)*-6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-1344)\/(-136) + -29 + 27 + (-1460)\/17\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16552447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y - 1. Let v(x) = -4*x**2 + x**3 - 4*x + 1991 - 3990 + 0*x**3 + 2003. Let d(p) = p**3 + 5*p**2 + 4*p - 4. Let j be d(-4). Give j*s(u) - v(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -9351 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 6422?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 0*g**3 - 5 + 30 - g**3 in the form k*g + f*g**3 + p + n*g**2 and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x = -7071 + 435. Let p = -284 - x. Solve 0 = 3*d + 23 - p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93477 times 1?\nAnswer: 0.93477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 6 - 38. Let s be c\/60*-6*-15. Calculate the greatest common divisor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128 - -178. Suppose 100 = 2*o - 25*j + 21*j, o = -j + v. What is the least common multiple of 45 and o?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 12988962447097.\nAnswer: 12988962447097.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 103988548?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 141391611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 7, 99, 4\/29, -0.5, -9?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2. Let r(w) = -43*w + 13. Let a(g) = -14*g + 5. Let j be (5\/(-10))\/((-2)\/12). Let k(m) = j*r(m) - 8*a(m). Calculate f(k(b)).\nAnswer: 578*b**2 + 68*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10284 + 13820. What is the highest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 177 = 3*b + 24, 9*p - 699*b = -694*b - 255 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -58155, -61325, -64497, -67671, -70847, -74025?\n\"Answer: -c**2 - 3167*c - 54987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = 0. Suppose 5*y + 10 = 0, 2*u - 2*y + 0*y + 66 = g. Let s = u - -58. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by -1628483?\nAnswer: 81\/1628483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8\/608)\/(54\/(-1476)) and -17\/64?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 8*i**2 - 11*i + 15. Suppose 4*c - 2*g - 32 = -0*g, 0 = c - 4*g - 22. Let t be r(c). Solve 9 = -5*b - 2*z + 4*z, -4*b - t = 3*z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 2 (c) -0.9688 (d) -0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75671000?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 2, -1989, -4, 1 in decreasing order.\nAnswer: 3, 2, 1, -4, -5, -1989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -652 - -650.4. Sort 0.1, f, -3 in decreasing order.\nAnswer: 0.1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17951395 or -17951393?\nAnswer: -17951395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -375*b*c**5 - 2*b*c - 2*b + 8*c**2 - 313 wrt c?\nAnswer: -7500*b*c**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrtrrtrrrrrtrrrrr. Give prob of picking 3 r and 1 t.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -11, -1, 8, 32 in descending order.\nAnswer: 32, 8, 2, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.53 - -41.33. Let j = -4.3 - -4. Let g = 0.7 - j. Which is the second smallest value? (a) 4\/3 (b) 1\/3 (c) x (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -6 + 13 + -5 + 1 + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + 2*j - 11. Let z be (-2)\/(-4) + (-27)\/(-6). Does 13 divide u(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 5*r + 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 8:23 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5 + 3421*v**4 - 3142363*v**3 + 362139119*v**2 + 1876976344*v + 1511691440 = 0 for v.\nAnswer: -4, -1, 140, 1643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.7 + -4.6. Let t = 21.6 - 10. Let m = t - r. What is m rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + 2*c**2)*(-13 + 5 + 2)*(c**2 + 0*c**2 + 2*c**2).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -968 + 1043. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -8916301.\nAnswer: -17832602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-275)*2)\/((-8)\/(-40)). Let o be (2 + -4)*(-6*71)\/6. What is the second smallest value in o, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961234219 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.01 (b) -0.4 (c) -3 (d) -22 (e) -8 (f) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8838 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -l - 7 - 8, -765 = 185*z + 5*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2289, 4582, 6875?\nAnswer: 9168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*i**2 + 218*i**2 - 3 + 347*i**2 + 532*i**2.\nAnswer: 1217*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121233111132 - 0?\nAnswer: 1121233111132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 2*z**2 + 4*z + 65. Determine k(0).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(325)*4 - sqrt(325))**2.\nAnswer: 2923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2\/9 (c) -2\/1257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2288 and 678080?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -213 + 24. Calculate the highest common divisor of 243 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 8*h**2 + 11*h + 22. Let z be w(-9). Solve -7*t + 2*t - 23 = f, -z*t = 4*f + 28 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-120)*(420\/(-24))\/7. Which is the third biggest value? (a) o (b) -4 (c) 1\/59 (d) -5 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 3*z)*(-27 - 30 + 11)*(-z + 2*z + z - 1 + 1 + z + (-1 + 5 - 2)*(3*z - 3*z + z) - 3*z + 2*z + 2*z).\nAnswer: 552*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a hour in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + 0*v**2 - 2*v**2)*(-2*v - 3*v + 7*v)*(859*v**2 - 4104*v**2 - 4702*v**2).\nAnswer: -31788*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*u + 5. Suppose -2*m = 3*x - 17, -5*m + 12 = u*x - 25. Let d = m + -4. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 10, -11329 + 11316 = o - 5*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74244 - 162*w + w**2 + 74244.\nAnswer: w**2 - 162*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11034 - -134?\nAnswer: -10500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 3, -5, -33 in increasing order.\nAnswer: -33, -5, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 241 + -96. Suppose -5*r = v - 645. Round r to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 1. Let g be j(1). Suppose -r - 4 = -0. What is the units digit of 153\/g*r\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 802500 and 525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -238 + 240.07. Let t = u - 0.07. What is the second smallest value in t, 4, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -197*u + 44*u**3 - 27*u**3 - 483*u - 187*u**3 wrt u?\nAnswer: -1020*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.12, -4, 8\/9, -5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)*5*3 + sqrt(60) - sqrt(60))\/(sqrt(12) - (sqrt(12) + 1*sqrt(48))).\nAnswer: -15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4162 - 507767\/122. Which is smaller: 0.3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 27 = 2*v. Let k(p) = p**2 + 10*p - 1. Determine k(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 14*t**2 - 3*t + 6. Calculate a(-14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3085 is divided by 432?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 10. Let j(z) = 16*z - 6. Let t(y) = -12*y + 7. Let n(k) = -4*j(k) - 5*t(k). Determine 6*n(x) + 7*o(x).\nAnswer: -3*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*y - 5 + 4 - 3 wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4*y - g**3*t*y**3 - 15*g**3*t - g**2*y - 17*g*t*y**2 - 3*g*y**3 wrt g.\nAnswer: 24*g*y - 6*t*y**3 - 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -418 in 2\/11, 0.1, 713, 4, -0.11, 3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -27\/2*o**2 - 19 + 10*o. What is the hundreds digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153 + -121. Let h be (-75)\/20*k\/(-3). Calculate the greatest common factor of 100 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -12*y + 12*y**2 + 120 - 4*y - 106 - y**3. What is the units digit of f(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1 - m**2 + 3*m**2 + 4*m**2 - m - m. Let f be d(6). Let w = f + -116. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8361 or 8367?\nAnswer: 8361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 50 = -2*p, -32*f + 18 = -30*f + 2*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 404 - 400. Let p(f) = f**3 - 5*f**2 + 2*f - 7. Let x be p(5). Solve -3*s - 3 = -3*r, 2*s + x*s + 4*r - q = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 32. Let x(c) = -c**2 - c - 1. Suppose 3*h = -0*h + 3. Let m(o) = -o**2 - 3*o - 3. Let s(a) = d*x(a) + h*m(a). Factor s(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -255 or -254?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -405246?\nAnswer: -5\/405246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4894?\nAnswer: -5\/4894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 5.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 5 (c) -5833 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - h - 24 = -1027, -5*b = h - 2506. Calculate the remainder when b is divided by 146.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164 + 163.6. What is the third biggest value in 3, 0.5, o, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*o + 60, -2*o + 14 = 2*x - 5*o. What is the second derivative of 5*n - 25*n**2 + 2*n + x*n - 4 + 3 wrt n?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c*f**2 + 3*c*f - c - 395*f**2 + 205*f wrt f?\nAnswer: 12*c - 790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178391*f + 178391*f + 16*f**2.\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7094185?\nAnswer: 5, 7, 17, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u + 55 - 55 as p + r*u and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7256003 is divided by 171.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 minutes after 10:57 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -9966, -9923, -9852, -9753?\nAnswer: -9626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - 88. Suppose 174 = 6*y + a. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143229.6627 to the nearest one hundred.\nAnswer: -143200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11935\/2377 less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 36625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**2 - 9*k - 11. Let t(q) = -3*q**2 - 4*q - 5. Let r(i) = -2*m(i) + 5*t(i). Let d(u) = -2*u**2 - 6*u - 8. Determine -3*d(a) + 8*r(a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**2*s**2*y + 5604*d**2*y**2 + 34*d*s*y**2 + 149216*s**2*y**2 wrt s.\nAnswer: 6*d**2*y + 298432*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**4 - 260*k**3 - 565*k**2 + 1320*k + 1620 = 0.\nAnswer: -3, -1, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**3 + u - 7*u**2 + 7*u**2.\nAnswer: -14*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179 or 85?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 494.5 + -1256.4. Let c = -762 - x. What is the nearest to -1 in 4, 0.04, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*z**4 - 847574*z**3 + 15792186 with respect to z.\nAnswer: -20*z**3 - 2542722*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/42 and 2\/(-4) + (12 - (-10178)\/(-882)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142229 is divided by 35555.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 0\/(-2) - 4. Let h = -5 + j. Does 4 divide (-24)\/(-9)*h\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -6.1. Let o = 0 + -0.4. Let d = o - -0.2. What is the third smallest value in d, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -31, 14, -5312 in decreasing order.\nAnswer: 14, 5, -1, -31, -5312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3884.928 hours in nanoseconds?\nAnswer: 13985740800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. What is the tens digit of ((-1)\/(-3) + x)*-18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - -4 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/3)\/(-6))\/((-1)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(8\/5)\/u)\/u)\/u*u*u\/(u*u\/(u*u**(9\/5)\/u))*(u**1)**(-40) assuming u is positive.\nAnswer: u**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpl when three letters picked without replacement from {p: 2, b: 4, l: 4, d: 1, j: 9}.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 2)*(3*q - 4 + 4)*(0*q - 4*q + 2*q) + 0 + 8 + 30*q - 33*q - q**2.\nAnswer: -37*q**2 - 3*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -34, 35 in increasing order.\nAnswer: -34, -4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 + (-12)\/21. Let j(t) = t**3 + 5*t**2 - 7*t - 6. Let m be j(-6). Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 15. Let c(q) = q. Let d(f) = 2*c(f) + w(f). Let u be d(-7). Find the third derivative of 49*n**5 + u*n**2 + 8*n**2 + 6*n**2 - 18*n**5 wrt n.\nAnswer: 1860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37a + 17328?\nAnswer: 16c7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, v: 4, d: 2}. What is prob of sequence vdvh?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*g - 16 = 0, -8113*t + 8110*t = 5*g - 61. Suppose 1\/2 + 5\/6*j**t + 1\/6*j**3 + 7\/6*j = 0. What is j?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19516928657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 3*h**2 - 2*h**2)*(-5*h**2 + 0*h + 0*h).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -770 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 20, 737*w - 732*w - 4*v = 25636. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*k + 121*k = 666*k + 19632 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -334, -509, -688?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104.533 + -0.357. What is d rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/20 + (118\/10 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 100010111100001011100011110?\nAnswer: -100010111100001011100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (-12 - -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 - 7*n**3 + n**4 + 5*n**3)*(1 + 1 + 1).\nAnswer: 6*n**4 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**13)\/(y*y*y**(-3\/5)\/y)*(y**(-2\/3))**(21\/4) assuming y is positive.\nAnswer: y**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 0 + sqrt(931) - (sqrt(931) + -6*(-1 + sqrt(931)))) + 0)**2 - (-2*sqrt(133)\/sqrt(112) + (sqrt(76) + 0)*-5).\nAnswer: -147*sqrt(19)\/2 + 33517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - p + 4)*(66*p**3 + 12*p**3 + 3*p**2 + 29*p**3) to a*p**3 + c*p**2 + v*p**4 + t*p + s and give v.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 683787 and 2279290?\nAnswer: 6837870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x - 288 = -85*x + 12*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222301123032 + -11?\nAnswer: 222301123021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79345853 and 1115.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 237\/1659*-3*1*1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15845, -31688, -47531?\n\"Answer: -15843*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 - 9*k**2 - 72*k - 201. Give d(-3).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 130, 85, 22, -59, -158, -275?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s + 20. What is the tens digit of w(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 868 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17196 + -4.82804. What is the fourth biggest value in v, -207, -0.2, 5?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from viviicviviiivivivc. Give prob of picking 1 c, 2 i, and 1 v.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28477\/693 + 371\/9. Let c = 3\/11 - k. Solve c*o**2 + 0*o - 1\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-209)\/(-484) + (-4 - (-45)\/12). Let l = 16874\/37 + -456. What is the third biggest value in -4, -5, q, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 13*c**2 - 3*c - 2. Let a(x) = -x**2 + x + 1. Calculate -3*a(h) - j(h).\nAnswer: -10*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 2) + 3*44\/12. Suppose -7*f = -8*f - w. Is ((-15)\/10)\/(f\/3786) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*k**2 + 55*k**4 - 23*k**4 - 2 - 30*k**4 - k as t*k**3 + l + d*k + n*k**4 + g*k**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1038838549, -1038838550, -1038838553, -1038838558, -1038838565?\n\"Answer: -k**2 + 2*k - 1038838550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/20)\/(-3)*(-52)\/39\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z**2 + 1. Let y be b(-1). Let j = 15 - y. Solve -3*m - 9 = -j*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20178500 to the nearest one hundred thousand.\nAnswer: 20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 270 - 1489\/6. Find the common denominator of i and ((-485)\/(-30))\/((-1)\/1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-20)*6*2\/(56\/(-7)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/1*(-4241)\/(-63615)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -22\/3, 0, -3\/8, 0.2, -578?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.044 + -0.156. Sort 27, k, -2 in increasing order.\nAnswer: -2, k, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**4\/4 - x**2 - 7*x + 4. Let w(r) = 2*r**2 + 3. Determine 3*o(t) + 4*w(t).\nAnswer: -t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from odoodpop.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**2 + 25*d + 37. Let t(i) = -17*i**2 + 74*i + 112. Let f(r) = 11*m(r) - 4*t(r). Suppose -12*a = -102 - 78. Is f(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890*t - 69450 + 50828 - 31244 = 80964 for t.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*m - 353*m + 231 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f + 362 = 190 - 1620 for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f + 67. Let g(p) = -24*p + 136. Calculate -13*c(h) + 6*g(h).\nAnswer: -h - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143607 a multiple of 2489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 7*d**5\/15 - d**3\/3 + 17*d**2\/2 - 26*d. Let u(h) be the first derivative of v(h). Differentiate u(i) with respect to i.\nAnswer: 56*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -19 - 51. Suppose 1826 = 5*o + v - 2793, -o + 5*v + 929 = 0. Let r be (0 - 1)\/((-6)\/o). What is the greatest common factor of f and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 41, 2, 1, -24 in ascending order.\nAnswer: -24, -7, 1, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1888 + -1288. Which is smaller: j or 599?\nAnswer: 599","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1131 (base 6) to base 11\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1688*y**2 + 1687*y**2 - 4*y**3 - 3375*y**2.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a\/(a*a**(2\/9)*a)))\/(a\/a**3)*a\/a**0*a*a**(-1\/4)*a**(1\/4)\/(a*a**6)*a**(-4\/9)*a*a**(-4) assuming a is positive.\nAnswer: a**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g**6\/g))\/((g**(-1\/4)*g)\/g*g))\/(g**(-3)*g**(-1\/6)))\/(g**(-1\/4)\/(g**1\/g))**(-7\/5) assuming g is positive.\nAnswer: g**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 3:31 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11759*a**3 + 2*a**2 + 48094*a.\nAnswer: -70554*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/13)\/j**(1\/4))\/(j**5\/(j**(2\/9)\/j*j)) assuming j is positive.\nAnswer: j**(-2389\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1912 to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 35619997*l\/4 - 17809999\/2.\nAnswer: (l - 35619998)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -2\/3, -42\/25?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -167 - 31. Let l be ((-362)\/6)\/((-8)\/24). Suppose 599 - l = 19*f. Calculate the greatest common factor of q and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, -2, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*z + 5 = -2, -p = 5*z + 4. Let h(m) = -16*m**2 + 2*m - 2. Calculate h(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -134 and 0.5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77.062 - 77. Let x = 0.06452 - p. Round x to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 50*i - 29. Let d be u(1). Suppose -5*l = 4*r - d - 119, -2*l = 8. Calculate the greatest common factor of 180 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s**2. Let w(p) be the first derivative of 7*p**2 - 60. Calculate x(w(v)).\nAnswer: -1764*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 4 + -5 - (-64)\/((-8)\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51627883 to the power of 1\/2, to the nearest integer?\nAnswer: 7185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.2, 3, -0.5 in ascending order.\nAnswer: -0.5, -1\/3, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-14) - -1)\/((-56079)\/5103189)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 1 - 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + sqrt(76) - (2 + sqrt(76) + sqrt(19) + -2))*2.\nAnswer: -2*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 1:32 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) - (-10)\/4. Let c = -11014 - -11020. Solve t - c = m*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18fa51 (base 16) to base 6\nAnswer: -55030241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3))**(-5)\/(r**(-6)*r*r*r\/(r\/(r\/(r*r*r*r**(2\/5))*r))))**(-11\/5) assuming r is positive.\nAnswer: r**(-847\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1071 * -21\nAnswer: 22491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1359923 + 0.74262\nAnswer: -1359922.25738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/32 + 185\/(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*k + 3*k + 4*k)*(-5*k**2 - 2*k**2 + 4*k**2) + 0*k**3 + 2*k**3 - 11*k**3 + 2*k**3 + 2 - 2 in the form v*k + n*k**3 + y + r*k**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 13881154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 112*y**3\/5 - 17869914*y**2\/5 + 6701202*y\/5 = 0. What is y?\nAnswer: 0, 3\/8, 1116867\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -14\/3*o**3 + 0*o**2 + 0*o**4 + 19*o + 0 - o**5. What is the second derivative of q(w) wrt w?\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + b**3)*(-2 + 6 - 14)*(-2 + 2 + b) in the form y*b**3 + n*b + m*b**2 + w + q*b**4 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70036 - 70036.2. Let x = 0 - 0. Which is the fourth smallest value? (a) x (b) s (c) -18 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -318\/5. Let y = -8 - -12. Which is the smallest value? (a) f (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2482 + -12363\/5. What is the common denominator of 11\/10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 7 + 13 = -5*i, 8 = -4*k. Which is the nearest to -0.3? (a) -4 (b) i (c) 0.4 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18456?\nAnswer: 2, 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**3 - 2 + t**3 - 3*t**2 - t**4 + 8*t**3 to k*t**2 + a + w*t**4 + n*t + g*t**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-3)*-1*(-4782)\/(-78106).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-23 + 137 - (-2 + 21)) + -20?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(136)*-3)\/(sqrt(968) + (sqrt(968) - -3*sqrt(968)) + sqrt(968)).\nAnswer: -sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -14*c + 74. What is k(-14)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 32*f**2 + 2*f - 1. Let r be g(1). Let s be -2*1*(-126)\/(-9). Let m = r + s. Solve m*c = 2*t - 2, -8 + 24 = -4*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 2. Calculate t(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -24*n + 3. Let d(b) = -97 - 6*b + 99 - 19*b. Calculate -3*d(q) + 2*k(q).\nAnswer: 27*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v. Let h be p(2). Let w = 5719 - 5603. Calculate the highest common divisor of h and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6307344 minus 0.06?\nAnswer: 6307343.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41612968 is divided by 406?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 439 = -447. Let j be (-2)\/5 - 12\/(-5). Suppose -m = j*m - y*m. Solve 3*s = -m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 2. Let g be t(-3). Suppose 0 = i - 1 - g. Find k, given that -6*k**3 - 4*k**5 - 5*k**2 + 3*k**2 - 6*k**4 - 8*k**i + 10*k**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/11*4*2\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 47. Suppose -7 = c - f. Suppose -c*t = 4*a + 4, 2*a + 3*t + 1 = -2*a. Solve 4*w = -a*q + 4*q + 2, -q = 4*w - 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3879*h - 67. Let l be i(7). Round l to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {d: 4, i: 2, v: 8}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 = -10. Solve w = -5*m, -5*f = 3*m + 2*m - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 28.273, 0.05, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4554 divided by 99\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 1 + 4 - g**2 to f*g**2 + a + m*g and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -50755.\nAnswer: -50754.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101060 (base 10) to base 12.\nAnswer: -4a598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 2*s**2 - 5*s + 2. Let g be (3\/2)\/(3\/6). Let y be c(g). Suppose 3*p + r + 22 = 0, 5*r = -5*p + 3*p - y. Let j(h) = -h**2 - 5*h + 3. Give j(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1861 * 30009.\nAnswer: -55846749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 41*q - 76. Let s be (1161\/36)\/((-6)\/(-8)). Let z be y(s). Suppose -3*b + 4*b - 2 = 0. What is the third smallest value in z, b, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 15*d + 19 + 0*d**3 + 3\/2*d**2 - 33\/2*d**6 + 0*d**4 + 0*d**5. What is the second derivative of f(k) wrt k?\nAnswer: -1980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51736909.2 rounded to the nearest one million?\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 4. Let u(n) = 2*n + 2 - 3 + 0. Let s be u(3). Let x(v) = v**2 + 4*v - 6. Let w be x(-6). Let l(y) = y - 5. Calculate s*l(g) + w*o(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36600 - -10?\nAnswer: -36560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/1044 and 49\/87.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13*j**2. Let t(q) = -45*q**2. Give m(t(n)).\nAnswer: 26325*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3668.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 405 - 273. Suppose 0*r = 4*r + 3*i - b, 3*i + 12 = 0. Let m = -2101 + 2204. Calculate the remainder when m is divided by r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**(2\/17)))*(l*l**(-2))\/l*l**(-3)\/((l\/l**(1\/6))\/l))\/((l**(-1\/3))**(-43))**(17\/4) assuming l is positive.\nAnswer: l**(-4411\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12 - 119\/20) + 5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26329 is divided by 354.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 2\/2 - -2. Suppose -k = 3*k - 224. Suppose 3*w + j*l + 18 = 5*w, 4*w - k = -4*l. What is the greatest common divisor of 48 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 + 2*n**2 + 365*n - 367*n + 3 + 0*n**2 in the form t*n**4 + r + a*n**2 + k*n**3 + w*n and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1904 and 1022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 41 - 1005. Suppose 0 = -28*j - 3534 + 14930. Let z = b + j. What are the prime factors of z?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051500 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, u: 2, c: 4}. Give prob of sequence lcl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5401 - 3830. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**7\/1800 + y**6\/720 + y**5\/300 + y**4\/24 + 3*y**2. Let s(g) be the second derivative of p(g). Factor s(l).\nAnswer: -(l - 1)*(7*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**3\/2 + 25*n**2\/2 + 314*n. Let v be o(-7). Solve 7*l + 18 = v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**4\/24 - 8*s**2. Let f(l) = 14*l**2. Determine f(t(q)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3678984?\nAnswer: 2, 3, 37, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z + 32*z + 8*z + 15*z - z. Let y(k) = 3*k**2. What is y(u(m))?\nAnswer: 7203*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41819203 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 489. List the prime factors of h(15).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3720*f + 174893. Determine l(-47).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 375.1 - 410.156. Round y to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/4 - 2*f**3 - f**2 - 5*f + 1. Let r(h) = h**2 + 11*h - 96. Let d be r(6). Calculate y(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - (-27 + 13 - -39))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5 = -10. What is the units digit of 0 - -2 - 2*b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/9)\/((-1)\/(-45)*-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10947220 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 8, -5*t = 5*g - 18 - 17. Let c(s) = -3*s - 34. Let w be c(-17). Suppose -18 = -v + w. Solve -15 = -h - 4*u, t*h - 4*u = 2*h - v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13816, -1, -2, -0.2, 2 in decreasing order.\nAnswer: 13816, 2, -0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -60 (b) -17 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 71. Calculate the remainder when 50 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4438, -17617, -39536, -70195, -109594?\nAnswer: -157733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221213 + -1?\nAnswer: 1221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -12*p - 60. Does 14 divide p\/6*(-96)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 10 + 2 + -2 + 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1953307.4362 and -4.\nAnswer: -1953311.4362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i. Let l(x) = 169*x + 24. Let m(d) = -4900*d - 700. Let q(c) = -175*l(c) - 6*m(c). What is f(q(s))?\nAnswer: 175*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 84*a - 298. What is f(38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {w: 13, z: 1, t: 3, k: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**9\/3024 + i**6\/45 - 7*i**3\/6 - i**2. Let b(p) be the first derivative of q(p). What is the third derivative of b(x) wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*z - 12 - 16, -2*o + 3*z + 38 = 0. Suppose -3*y = h - 4*y - 2, 0 = 3*h + 2*y - 26. Calculate the smallest common multiple of o and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*n**2*o**3 - 307*n**2 - 27*o**2 - 2*o wrt o?\nAnswer: -42*n**2*o - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20912 is divided by 214?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122 - 491\/4. Let i = -1353 - -2657. Let m = i - 3839\/3. What is the common denominator of l and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 - 18*g + 21. Let h(q) = 4*q**2 - 19*q + 22. Let m(n) = 4*h(n) - 5*z(n). Calculate m(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 4*w**2 - 3*w - 3. Let a be y(-3). Let g(q) = -9*q - 4. Let t be g(a). Let c = -15 + t. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(1260\/533) + (-285)\/(-171) and 61\/110.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6287834086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11719422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3849541 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 24, -414203, -4, -5 in decreasing order.\nAnswer: 24, 1, 0, -4, -5, -414203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4454 is divided by 409.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) 2\/3 (c) -2 (d) 18 (e) 2\/5 (f) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/232 and 41\/261?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-1\/20)*(u*u*u**(-1\/4)*u)**(-1))**(-3\/22) assuming u is positive.\nAnswer: u**(81\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9045.6 rounded to the nearest 10?\nAnswer: 9050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 783377.395 + 32.14?\nAnswer: 783409.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1967 + 26877\/14. Let a = 95\/2 + h. What is the closest to -0.1 in a, 3\/2, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243)*-1 - sqrt(243)) + 3)*1)**2.\nAnswer: -108*sqrt(3) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -29 + 5 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -1443?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23)\/(-3) + 12\/(-18). Let c(m) = m**3 - 7*m**2 + 4*m - 2. Calculate the remainder when c(j) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 3*n**2 - 2*n + 3. Let a be o(2). Suppose 3*y - 1376 = -a*r + r, -5*r = -2*y + 930. What is y rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*b - 14, 4*b - 2 = -4*j + 14. Differentiate -5 + 5*d**j + 2 + 0*d**2 wrt d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**4\/4 + m**3 - 3*m**2\/2 - 2*m - 1. What is the lowest common multiple of (2\/4)\/(2\/36) and y(-3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 481059715 to the nearest integer?\nAnswer: 21933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**5*c*c)\/c)**(-30))**39 assuming c is positive.\nAnswer: c**(-7020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 9*g**2 + 8*g + 11. Let m be q(-8). Suppose 4*a = h + 14, a + h = 4*a - m. Suppose -a*r + 6 = 3*l, 0*l - l - 10 = -3*r. Are 2 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 80690336.\nAnswer: -403451680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*n - 23 = -9, 3*n - 8 = -b. Calculate the remainder when 20 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-568)\/(-128) - (-1)\/1*-2 and -19\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1975 - 1975. Let u(v) = 2*v + 4. Let j be u(-4). Sort j, -3, -5, i.\nAnswer: -5, j, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1018 + -199527\/196. Let j be 10\/(-40) + 21\/84. Is a equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3*-1)\/((-2 + -3)\/(-5)). Let k be 4\/4*(c + 82). Suppose 3*w = 9, -2*o - 3*w = -8*w - k. What are the prime factors of o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*p - 2. Let b(f) = -2*f - 25. Let t be b(-12). Sort p, t, -4 in increasing order.\nAnswer: -4, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*y - 6 = 0, -y - 3*y = -2*f + 12. Suppose f = -n + 3 + 1. Suppose 4*m - 3*m = 8. Calculate the highest common factor of n and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.3 take away 0.086?\nAnswer: -82.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5012.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*u - 135 = 425 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m**2 + 5 + 0*m - 5\/3*m**3. Let g(y) = -5*y. What is g(q(n))?\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c = -3*o - 3, -5*c = o + 12. Let q(v) = v + 254*v**2 - 3 + o*v - 2*v + 4. Is q(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 99.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 5:36 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, b: 2}. Give prob of picking 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -105*r**2 + 27828*r + 258957.\nAnswer: -3*(r + 9)*(35*r - 9591)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 5*k + 4*k)*((-1 + 3 + 0)*(-14 - 1 - 11) - 2 - 5 + 4).\nAnswer: -220*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 328439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 4:15 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 2.791?\nAnswer: 0.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 33*t**3 - 3*t**2 - 8*t + 9. Let f be l(1). What is the greatest common factor of 837 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 1, w: 2, j: 1, a: 2}. Give prob of picking 1 h and 2 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.025888 and 440.\nAnswer: 11.39072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -1. Suppose -2*h - 14 = -5*k, 2*h - h = p*k - 12. Solve 0*g + 2 = k*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.1. Let f = 284 - 289. What is the closest to v in 3, -4, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*x - 3*m, 2*x = 4*m - 6 - 2. Suppose c + 4*w = 6, 3*c - 2*w = -c + 24. Solve f + c = x*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -182.5 - -192.72. What is g rounded to 1 dp?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 40 + 117 + 55*h - 12 - 2*h**2 - 18*h.\nAnswer: -2*h**2 + 37*h + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1331*x**4 + x**3 - 458*x wrt x.\nAnswer: -15972*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618346?\nAnswer: 2, 309173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17566 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 17*y**2 + 17*y + 21. What is d(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 77 = -19*l. Solve -5*w + 20 = 5*f, 12 = -0*w - 3*w + l*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -14*n. Let f be u(-6). What is the greatest common divisor of f and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -48.54. Let y = g - -0.04. Let x = y + 0.500025. What is x rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1 - 47 = 0. Suppose -2*g - f + 10 = 0, g - 5*g + 2*f = -o. What is the derivative of 6*d**g + 21 - 811*d**2 + 13*d**4 + 811*d**2 wrt d?\nAnswer: 76*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, -16\/13, 4, 5, 0.1, 2\/27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x - 36*x + 12 = -s, 3*s = -4*x - 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2756734*v - 79534 wrt v.\nAnswer: -2756734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.025 + 0.175. What is the closest to 1 in k, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1734 - -7.8266. What is the biggest value in m, 3, 7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 78*v + 897. Let n be o(-42). Calculate the greatest common factor of 12 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 92 = -200 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + 1\/(-6)*-18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-15))\/((-6)\/(-20)). Let o be 96\/18 - f\/(-6). Suppose d + 55 = o*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000334408764 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*b**5 + 4 + b + 5*b**5 + 22*b**5 + 4*b**5 + (2 - b**4 - 2)*(-2*b - 4*b + 4*b).\nAnswer: 31*b**5 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 8\/7 (b) 2\/277 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82688014 = 4*u - 2*c, -329*c - 82688007 = -4*u - 328*c. What is u rounded to the nearest one hundred thousand?\nAnswer: 20700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1894206 rounded to 4 decimal places?\nAnswer: 1.1894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02908722 rounded to five dps?\nAnswer: 0.02909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -287 - -93. What is h rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, k: 1, d: 1}. Give prob of sequence kkd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 k when four letters picked without replacement from {z: 3, t: 6, k: 8}.\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5605065?\nAnswer: 3, 5, 41519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 50*m**2 + 73*m + 612. Calculate a(48).\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**5\/60 - t**4\/24 - 4*t**2. Let x(b) = -4. Let k(l) = x(l) - z(l). What is the units digit of k(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149113605611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**2\/2 - 4*l - 50. Let p(j) = -j**3 + 5*j**2 - 3*j + 4. Let c be p(4). What is s(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -0.3 (b) 0.7 (c) 5\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3488 and 16.\nAnswer: 3488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 599 and 10091353?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/9 + 220*v**3\/9 + 11854*v**2\/9 + 7376*v\/3 - 3800 = 0.\nAnswer: -38, -3, 1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 71, 275, 613, 1085, 1691, 2431?\n\"Answer: 67*f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**3 + 490*w**2 - 165*w - 100. Give o(-82).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21068.32 years to millennia.\nAnswer: 21.06832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/9*(-3)\/48.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/42*1*58. Which is smaller: -13 or x?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 0 - (8 + -8). Suppose -b*z + 2 = -46. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-12))\/m**(-13))**(-1\/53) assuming m is positive.\nAnswer: m**(-2\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00579828936 to four decimal places.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 471844, 471873, 471902?\nAnswer: 471931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:09 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.2 - 39.2. Which is the biggest value? (a) 0.2 (b) d (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**7\/630 + q**6\/360 + q**5\/60 - q**4\/72 - q**3\/9 - 5*q**2. Factor i(k).\nAnswer: -(k - 2)*(k - 1)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2 - 13\/(-1). Let o = 29 - n. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*o**3 - 151*o**3 - 1 + 6*o**4 - 2 in the form c*o**4 + d*o**3 + l*o**2 + p + q*o and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21393695 to the power of 1\/2, to the nearest integer?\nAnswer: 4625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.2. Let h be (2\/4)\/((-1)\/102). Let u = -359\/7 - h. Which is the closest to 0? (a) z (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-5)\/(5\/(-7)). Suppose -y - 5 = 4*i. Let c be i\/(-4) - 625\/(-20). Calculate the greatest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4837915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(6\/4*2\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 5*f - 15, 3*q - 26 = 4*f. Suppose -4*d - 3*z + 75 = 0, z + z = q. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 - 1268462232*b\/5 - 201124554251302728\/5.\nAnswer: -2*(b + 317115558)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 7*t**2 + 6*t + 4. Suppose -32 = -6*m + 10. Suppose n = -q + m, n + 5 = 3*q + 8. Calculate p(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 3 (b) -59 (c) -10 (d) 0.3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 246.64 and 54.37.\nAnswer: 301.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 5 + 0*x**4 + 0*x**2 + 7\/3*x**3 + 0*x**5 + 0*x + 0*x**6 - x**7. What is the third derivative of t(g) wrt g?\nAnswer: -840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 4*j + 3. Let n be x(-4). Suppose -n*w = 3 - 9. Suppose -w = 4*k - 2*d, -5*k - d - 35 = 3*d. Which is smaller: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -22. Solve 0 = -l*c + g + 20, -5*c + g + 0*g = -24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(2 - -1)\/(-3). Suppose -4*g = -5*c - g, -v*g = -5*c - 10. Let n be (63\/(-42))\/((-3)\/4). Solve -n*d - c = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81023743.\nAnswer: 79, 503, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/3))**(-15\/2))**(-1))**(2\/31) assuming c is positive.\nAnswer: c**(5\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r - 4*m + 3 = 17*r - 9, -r + 2*m = 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9348992.\nAnswer: 2, 73039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 8, -0.1, -58\/51239?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 - 20 = -14*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*2*sqrt(117)*-1)**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535885 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-2)\/(-12)) + 26353\/6. Let f be (-108)\/l*(-4)\/(-3). Suppose k - 2*k = -n - 1, -n = k + 1. Is n greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n - 60 + 18*n + 32 + 28.\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3732*i + 7399 = 3299*i - 29406 for i.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1.24, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.18 + -1.7. Let d = r + -0.08. Let a = 287\/296 - 22\/37. What is the closest to -1\/4 in 0.5, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 542.5301 weeks?\nAnswer: 328122204480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -29*a - 2. Suppose 0 = -14*i - 14*i + 56. Suppose -14*n = i*n - 384. Calculate the remainder when y(-3) is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3828 and 13383964?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 299347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1316572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxtccbxtxxtxt. What is prob of sequence ccbt?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*o = -15 - 1, -o = 5*c - 32. Let a be (8\/10)\/(c\/15). Suppose 5*y = 4*s + 37, a = -3*y + y - 4*s. Calculate the highest common divisor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*g + 4074 = -995*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -26 + 46 + -20 + 11522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + -1 + 8 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -52554 and -1.\nAnswer: -52555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 18 - 5 - 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 138941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.052683 - 0.0632. Round i to 4 dps.\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 53\/35 - 6\/(-21). Let s be (-7 + 3 + 28)\/((-15)\/(-2)). Factor -1\/5 - u*c - 24\/5*c**2 - s*c**3.\nAnswer: -(c + 1)*(4*c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (42\/4)\/(-10 - (-344)\/32). Suppose 0 = 3*p - 9, -5*d - p + 636 = p. What is the highest common divisor of u and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 3*q = 3592. Let b = q - 2489. What is the tens digit of (1 + (-10)\/6)\/(17\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 0.00521.\nAnswer: -0.29479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - w = 2*w + 22, -5*w - 20 = 0. What is the least common multiple of 20\/((-1980)\/(-67089)) - 3*2\/9 and s?\nAnswer: 6770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38409 = l - 4*d, 4*l + 53*d - 153614 = 58*d. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618*-1106.\nAnswer: 683508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/2566 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 591, 3, -9 in decreasing order.\nAnswer: 591, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 296999*s - 345583 wrt s?\nAnswer: 296999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/32 - 61\/96. Let b = 15 - 10. What is the biggest value in b, -2\/7, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822867?\nAnswer: 3, 103, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -517*v**3 + 2*v**2 - 1. Let r be d(-1). Suppose 2*g + g - 3*i - 396 = 0, -r = -4*g - i. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.351*-416818\nAnswer: -146303.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-1) - 5) + (-13)\/(-1). What is the third derivative of 6*h**5 - d*h**2 + 26*h**2 + 6*h**2 wrt h?\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1368971323 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 272.066 and -23.\nAnswer: 249.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 - -1.2. Let x = 0 + -2. Which is the nearest to 1\/3? (a) -4 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*i + 6*i + 5 - 8*i + (0 + 3 - 4)*(4*i - 4 + 4).\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, s: 4, l: 1}. Give prob of picking 1 s and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2934?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 21 = 3. Let d be (6\/4)\/((-2)\/p). Let j(r) = r**2 - 8*r + 7. Determine j(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (28\/70)\/(6\/30480)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1066, -1035, -1004, -973, -942, -911?\n\"Answer: 31*b - 1097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.09, -2, 0.1, -305?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7816059000 rounded to the nearest one million?\nAnswer: 7816000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 99170*p. Let j(a) = -a + 69. Calculate j(i(l)).\nAnswer: -99170*l + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {z: 12, k: 3, q: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.064564 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 + 428 = -64*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 4\/145984811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 28*m - 89. Calculate g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -c - 3*b, -2*c - 4*b - b = -63. What is the third derivative of 47*s**2 - 42*s**5 + c*s**5 - 7*s**2 wrt s?\nAnswer: -1080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3052 - 3052 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:00 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100012221 + -12?\nAnswer: 100012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-16))\/(18*957\/(-792)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -2*k - 5. Suppose 0 = -9*g + 5*g + 8. Let u(i) = 3*i - i - 2*i**g - i - 5*i. Let z(p) = -p. What is k*u(r) - 3*z(r)?\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 26, -5 in descending order.\nAnswer: 26, 15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 1872?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - i = -5*a + 70, -2*i = -5*a + 70. Let j = 16 - a. Solve j*z + 2 = -8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170955 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: What is the value of (-2)\/10*(-16)\/2*460\/(-920)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooo. Give prob of picking 3 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -809*d - 275*d + 133*d - 346*d.\nAnswer: -1297*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.93 - 35. Suppose -4 + 8 = -2*a. What is the second smallest value in 1\/10, s, 4, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-15)\/4)*13409\/1749*15\/230.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**5*v)\/v)\/v)\/v)\/v*v*v*(v*v*v**2)\/v)**(3\/38)*((v**2\/v)**(5\/3))**(5\/3) assuming v is positive.\nAnswer: v**(1139\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**4\/24 + 7*l**3\/6 - 3*l**2. Calculate t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 6, -0.5, 2\/5, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 547 = -95. Suppose -223*f = -x*f + 27. Solve 6*l - f = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 140 - 9?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = u - 14. Let w = u + 6. Solve w = 3*y, 0*y + 1 = -4*t + y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 7*f - 6. Let q be p(-7). Let d(g) = g**3 + 5*g**2 - 4*g + 4. Give d(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/11, 0.2, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 28.74719 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:52 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**3 - 3*j**2 - 2*j. Suppose 2 = p - 2*p. List the prime factors of n(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44670969?\nAnswer: 3, 7, 31, 89, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*y**2 + 123*y - 2*y**2 + y**4 + 2*y**3 + 122*y + 121*y - 364*y to the form v*y**3 + a + u*y**4 + b*y + h*y**2 and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 less than 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iayy when four letters picked without replacement from yiaviacy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(10\/(-6))\/((-1)\/3). Put -1, -21, w in increasing order.\nAnswer: -21, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 0*o + 2*o - o. Let u(g) = 2*g**2 + 5*g. Let p(y) = y**2 + 2*y. Let k(f) = 5*p(f) - 2*u(f). Give k(b(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 35*w - 2*r = 379, -620 = -5*w + 5*r. Calculate the remainder when 2089 is divided by w.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -183 - -189. Is 14 a factor of (-4 + 5 + -158)\/(t\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 8 = -3*i, -i - 1070 = -3*o - 1064 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3685910 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 0 - 3*b + 1\/12*b**4 - 4*b**2 - 1\/6*b**3. Does 14 divide u(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 6. What is h(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l - 10*l + 1 + 0*l + 19*l. Let x be h(2). Suppose 2*j = 127 + x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**3\/3 + z. Let y(b) = -7*b - 13. Let p(f) = -3*f - 6. Let k(o) = 13*p(o) - 6*y(o). Determine l(k(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*s - 35 = 0, 0*s - 2*s = 2*y + 2. Suppose 0*v - y*v = 0, 4*d - 12 = -v. Suppose 186 = d*p - 5*b - 223, p - 137 = 2*b. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d6066 (base 16) to base 9\nAnswer: -1575471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 18*m**2 - 21*m - 7. Let q be d(6). Suppose 5*p = 95 + 295. Let w = q - p. Solve 4*l - 6*g + 8 = -2*g, w*l - 3*g + 6 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, 3, -30 in decreasing order.\nAnswer: 4, 3, -18, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22693?\nAnswer: 11, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/5529 and (-20)\/2328*180\/24?\nAnswer: 22116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**5\/120 + r**4\/12 + r**3\/3 - r**2 + 3. Let a(j) be the second derivative of u(j). Factor a(p).\nAnswer: (p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*l**2\/11 - 2538*l\/11 + 336444\/11 = 0. What is l?\nAnswer: -529, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13777204 and 133.\nAnswer: 13777204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k**3 - 98*k**2 - 14*k - 283. Calculate n(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 798 + -800. Let d = -0.11 + 1.71. Let m = -51 - -148\/3. What is the third biggest value in d, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 24*u + 360. Let s be k(-15). Find the second derivative of -9*t**2 + s*t**2 + 4*t**2 - 3*t + 6 - 91 + 8 wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378900 by -37890.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 2*u + 22. Give w(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/457 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 464592047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 108971 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -96*k**3 - 304*k**2 + 910*k\/3 - 200\/3 = 0?\nAnswer: -4, 5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0774 + 7.1826. Let k = -7 + w. Let d = k + -0.338. What is d rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22297 + 11152 - 56*g**3 + 11145 - 6*g**3.\nAnswer: -62*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*t - 1, -3*v + 5*t + 64 = 0. Let z(b) = b**2 - b + 3. What is the remainder when z(7) is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 307 or 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -107186781 and -4.508851.\nAnswer: -107186785.508851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 7*j + 11. Let v = 35 - 28. Let s be m(v). Suppose -s*y + 180 = -6*y. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 38 (b) -25 (c) -0.2288\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10 = -q - 4*q, -44 = -4*f - q. Suppose -3*v + f = -38. Suppose -2*a + 5 = -7. What is the least common multiple of v and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39187927.\nAnswer: 39187927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i*o**2*p**3 + 653*i*p**3 + 4*o**2*p**3 + 2*o**2 - 35*o wrt i?\nAnswer: -o**2*p**3 + 653*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 4*r + 7. What is p(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3959119 minus 2?\nAnswer: 3959117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2 (b) 5 (c) 102.204 (d) -4 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -565*y - 367*y - 4630 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 21 = 23. Let j = 16 - 14. Which is the second biggest value? (a) 0.2 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 126708828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*g + 10. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3610500355 + -1?\nAnswer: -3610500356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*y**2 + 39*y**2 + 43*y**2 - 117*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 152*l*n**3 - 37*l*n - 10127*l + 7892794*n**3 wrt l.\nAnswer: 152*n**3 - 37*n - 10127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207 - 414 + 204 - 114*d**2 to the form v + t*d + s*d**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + 5.05. Let g = 191 - 191. Which is the closest to 0? (a) i (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 278*h**2 + 9*h + 192*h**2 + 13*h + 172*h**2 - 26*h.\nAnswer: 86*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Let h(d) be the second derivative of -d**3\/3 - d**2\/2 - 4*d. Let b be h(q). Which is smaller: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 + 3*u**2 - 3*u**2. Let y(r) be the second derivative of r**4\/6 + r. Give y(n(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6010?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11\/105, 2, -0.3, 61?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*s + 27*s + 11*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 4*x**2 - 6*x - 3. Let a be k(5). Is a at least -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39800.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) + sqrt(114)*-2))\/sqrt(6) + (sqrt(475)*2)**2.\nAnswer: 2*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*t - 575*t + 8496 = -126*t for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 14 = -5*x, 3*x - w - 174 = -160 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 4 (c) 23.8 (d) 3 (e) -38 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*d + 1790 = 1560 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + h = -h + 8, 5*d - 3*h = 13. Solve 3 = 3*y, 5*y - d*y - 9 = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, x: 2}. Give prob of picking 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 507017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/(3\/(-666)*2). Let n = t + -14. What is the first derivative of -4*c + n*c**4 + 12 + 4*c - 3 wrt c?\nAnswer: 92*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p - 30. Suppose 0 = 2*r + 2*m, -4*m = 2*r - 4*r + p. What is the closest to 0 in -1\/4, -3, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -13. Solve -5*x + 2*h - 25 = 0, 3*x - h - 2*h = -o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 1. Let d(u) be the first derivative of -u**2\/2 - u - 9. What is d(v) - t(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249554119?\nAnswer: 1019, 244901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6980 = 847*c + 494*c + 404*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = -5*f, -5*r + 6 + 14 = -3*f. Solve -6*h + r - 10 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 20*g - 23*g + 32, 3*g = -5*d + 34. Let r(l) be the third derivative of l**5\/20 - l**4\/12 - l**3\/3 + l**2. Give r(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 3*h + 20. Suppose 2 + 10 = h*v, -6 = -4*d + 2*v. Which is the closest to -2? (a) -5 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048342 to the power of 1\/2, to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7278151 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*z**2 - 196909*z + 1891596?\nAnswer: -34*z - 196909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*m - 293, 124 = 2*m + k - 33. What is the second derivative of -m*g**2 + 2 + 7 - 2*g - 14 + 3 wrt g?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - x - 2)*(-2*x**3 + x - x) + 0*x**2 + x**4 + 0*x**2 - 927 + 784*x**4 + 753*x**4 - 1536*x**4 + x**4 - 2*x**4 + 2*x**4.\nAnswer: 5*x**4 - 927","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-27)\/2)\/(-9))\/((-3)\/8). Let w be l\/(-1) - (0 - 10). Suppose 15 = 5*o, 3*n = 4*o + w - 2. Calculate the smallest common multiple of 2 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1105 - -1107. Determine n, given that -16\/3*n + 0 - 4\/3*n**y = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q - 8. Let m(f) = -f**3 - 5*f**2 - 3*f + 1. Let j be m(-5). Let n be 13*68\/442 - 1\/(-1)*2. Solve n*a + j = -q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/200 and -31\/8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 116 = -i, -4*y - 3*i = y - 118. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p**5 - 6*p**4 + 11*p**2 - 6*p + 6. Let x(k) = k**4 + k**2 + k - 1. Let n(z) = -h(z) - 6*x(z). What is the third derivative of n(t) wrt t?\nAnswer: 720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.1330704 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 5, p: 11}. What is prob of picking 1 z and 1 p?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b5 + 2535c1?\nAnswer: 253309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 130*d + 4416. Calculate q(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppccppc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -801 + 1522. Let h = u + -645. What is the remainder when h is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 - 29*g**2 + 2*g - 10. Let t(q) = 7*q**3 - 59*q**2 + 4*q - 23. Calculate 5*j(k) - 2*t(k).\nAnswer: k**3 - 27*k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hexeehheve. What is prob of picking 1 h, 1 x, and 1 e?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -22.3?\nAnswer: -4.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17169, 68644, 154435, 274542, 428965, 617704, 840759?\nAnswer: 1098130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48 and -7.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**2. Let t(j) = 4*j + 7. Let s(w) = w + 2. Let c(u) = -7*s(u) + 2*t(u). Let p(l) = -5*l. Let k(g) = -9*c(g) - 2*p(g). Give k(q(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -111 times -1329\nAnswer: 147519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*a + 26*a + 7 + 2*a**3)*(-25*a**2 + a**2 + 12*a**2).\nAnswer: -24*a**5 - 84*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w\/(w\/(w*w**(2\/3)*w)))))**41*(w*w*w**3\/w)\/w**(4\/11) assuming w is positive.\nAnswer: w**(5081\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 451531916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 435*j + 133*j - 865*j - 595*j - 638*j as y + c*j and give c.\nAnswer: -1530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -20, -0.2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 25. Suppose k = h*k - 24. Calculate the highest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1153996 - 1153996 + 3212*p in the form d*p + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 1484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.3996084 kilograms?\nAnswer: 0.0003996084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*p, -4*z - 28 = -5*p + p. Let r = 1240.1 - 1240.5. Which is the nearest to 1? (a) z (b) r (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6a703 (base 12) to base 3.\nAnswer: 11221200002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 294.2981t?\nAnswer: 294298100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**15*y*y\/y**(-16)*(y\/((y\/(y\/y**(2\/5))*y)\/y))**20 assuming y is positive.\nAnswer: y**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -11. Let m(p) = 1 + 16*p + 9*p - 8*p. Calculate the least common multiple of x and m(1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174460 and 572?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2045 and 2365247?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13026 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(1\/4)*j*j*j))**2)**(-36) assuming j is positive.\nAnswer: j**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 70 = -50. Calculate the remainder when 94 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-238)\/(-70) - 2*(-2)\/(-10). Factor -8*r**3 + 0*r + 4*r**4 - 10*r - 4*r**2 + 14*r + 4*r**n.\nAnswer: 4*r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/(-18)*27\/(-3). Let h = l - 29. Suppose -3*p = -h*p. Solve 0 = -4*t - 7*q + 3*q + 40, 2*q - 10 = p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q**2 + 8*q + 5. Let p be (18\/8)\/(9\/24). Let w(i) be the first derivative of -2 + 5*i**3 - 9*i - 15\/2*i**2. Calculate p*w(f) + 11*n(f).\nAnswer: 2*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -110, -185, -290?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704 + 237 + 234 - 2*b + 233.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 175399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 2. Let a(d) = -8*d**2 + d - 9. Let s be 1\/(-4) + 45\/36. Let o(l) = -l + 3. Let u be o(4). Let t be (s + -2)*9*u. Give t*p(x) + 2*a(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/3)\/(-4)*-1. Put i, 4, 1, 2 in descending order.\nAnswer: 4, 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92 - -114 - (-2 + 20)) + 24?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 51 = 0, -3*d + 8017*f - 8015*f - 69 = -0 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1194 + 3581\/3. What is the closest to v in 1, 0.1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1604 + -175868?\nAnswer: -174264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259909 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgpeppepeqpptget. What is prob of sequence etee?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34.81552152 + -6.81552119. Let f = -2.8 - 25.2. Let v = a + f. What is v rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -679781 or -679501?\nAnswer: -679781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 + 44*n + 69. Let l be h(23). Are l and 23 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from {f: 3, z: 7, x: 3}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4539846*x**3 + 372257*x**2 - 2 wrt x?\nAnswer: -27239076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -45*r + 95*r - 50*r - 13*r**2. Let q(b) be the first derivative of -2*b**3\/3 + 15. What is u(q(y))?\nAnswer: -52*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651526, -651525, -651520, -651511, -651498, -651481?\nAnswer: -651460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42227 is divided by 67?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7502433 - 13*k + 2500807 + 2500813 + 2500815.\nAnswer: -13*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -34*w + 40*w. Solve w + 0 = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**4 + 2*j**3 - 2*j**3 + (4*j**2 - 3574 + 3574)*(-6 + 6*j**2 + 6) in the form d + c*j**4 + z*j**2 + i*j + k*j**3 and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*w - 11 = -45, 0 = -t + 2*w - 8. Let p be -2*(-543)\/264 - 3\/t. Do p and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173095 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -248*a**2 + 16*a**2 + 73*a**2 + 121*a - 115*a**2 wrt a?\nAnswer: -548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4464900 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 - 3*y**5 - 5*y**5 - 2*y**5 + 3*y**5 + y**5 + (y**3 + 3*y - 3*y)*(3*y**2 - 2*y**2 + y**2).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 354.4 + -354.8. Which is the nearest to 0? (a) 163 (b) f (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12902\/43 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*i - i. Let q be 14\/i - (-6)\/(-9). Solve 3*a + q + 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59310 rounded to the nearest one thousand?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 6*x**2 + 7*x + 2. Let w be m(-7). Suppose 2*z = 4 + w. Find u such that 4*u**3 + 3*u**3 - 2*u**2 - 3*u**z - 2*u**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 5 (b) 2 (c) 2\/7 (d) 27\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*v - 10086 + 33766 = -908*v for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 963490 + 216510. Round x to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -200, -340, -500, -680?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -129*s + 627. Solve -2*m - 4*x - 9 = -1, 12 = -s*x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718*u = 715*u - x - 17, 9*x + 75 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2) + -1)*-4.\nAnswer: -24 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32501 divided by -1281?\nAnswer: -4643\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 7621 + 7621.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*s + 3*s + 3*s)*(0 - 1 + 2) + 3*s - 3*s + s)*(-4*s**3 + 2*s**3 - 3*s**3) in the form g*s**3 + x + q*s + c*s**2 + b*s**4 and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6306 is divided by 3148.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 25 + (-1)\/(5\/(-10)). Solve f - 24 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393780 = -36*k + 131880. Let c = -5190 - k. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*c - 0. Suppose c*g - 78 = 6*g. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 7*g - 3*x - 18, -x = -3*g + 13. Suppose -629 = -5*s + 2*w, -3*s + 2*w + g*w = -366. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 11*i - 10*i - 7*i.\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 478, 1437, 3298, 6361, 10926, 17293?\nAnswer: 25762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - sqrt(360)\/(sqrt(36)\/sqrt(4)))\/((sqrt(8) + sqrt(8) + sqrt(128))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145759 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgzg when four letters picked without replacement from kqxqxxxgzxxz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 181139 (base 13) to base 14\nAnswer: 11965d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**35*p**(-1\/22)*p**(1\/28)\/p**(1\/70) assuming p is positive.\nAnswer: p**(53863\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 3032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 17325\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -212\/14575755 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64.00000002 - -64. What is f rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40372 + -34?\nAnswer: -40406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11176.74406 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*l - 3 - 2, 10 = 2*u. Solve 0 = -l*w - 0*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*z**4 + 7*z**2 + 7*z**2 - 14*z**2 + 29 wrt z.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from jeejejjejejee.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1335.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2) + (96 - 91)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1756.517 + -1761. Let d = -4.31 - h. What is d rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36201 is divided by 2262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 1:43 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63172*o**5 + 2116*o**4*q + 8193*o + 81*q - 88 wrt o?\nAnswer: -1263440*o**3 + 25392*o**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.584 rounded to 1 decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11a + 4?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*p**2 + 4*p**3 + p - 1 + 75*p**2 - 11*p + 82*p**2 to the form s*p + l + q*p**3 + b*p**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -17. Let s = z - 14. Let x = -5 + s. Which is the closest to 1\/2? (a) -3 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4509928 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**4 - a**3 - a**2 - 1. Let v(s) = 4*s**4 + 5*s**3 + 42*s**2 + 5. Let c(z) = -5*j(z) - v(z). What is the third derivative of c(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Let h(l) = -497250*l**2. Let v(d) = 2125*d**2. Let g(j) = 4*h(j) + 935*v(j). Let k be g(s). Round k to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3*r + 3. Give w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w - 90. What is z(-13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 - 11*p - 109. Let x be c(-7). What is the highest common divisor of x and 5822?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (10 + -4) - (-8 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/60 + 4\/28*1197\/(-216).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/6 + (2 - -1). Which is the third biggest value? (a) 5 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000521719 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -370, 25, -2, 2, -8, -3 in descending order.\nAnswer: 25, 2, -2, -3, -8, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*l - 2 = 1, 3*b - 2*l = 42. What is the remainder when 20 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(209) + -4*(sqrt(209) + 2*sqrt(209) + sqrt(209))))\/(sqrt(176) - (sqrt(176) + -3*sqrt(176)) - (sqrt(88) - 2*sqrt(88))\/sqrt(8)).\nAnswer: 45*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**5\/20 - b**4\/4 - b**3\/2 + b**2\/2 - b. Let p = 9 - 5. What is o(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161141 or -644559\/4?\nAnswer: -644559\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -1306, -4409, -10448, -20401, -35246, -55961, -83524?\nAnswer: -118913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7579 = -5*f, 1963 = 3*f + 4*x - 2567. Let o(a) = 1534*a - 2*a**3 + 15 + 3*a**3 - f*a - 22*a**2. Calculate o(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425 divided by 85.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*f + 1610, k + 3*k - 3*f - 1291 = 0. Suppose -4*i + 6*i - k = -5*p, 5*i = 5*p - 305. Is 50 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39700 - 22421. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212*l**4 + 22*l**2?\nAnswer: -5088*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 17*c = -720. Solve 16*k = 4*k + c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/4))**(-21)*(t*t*t**(2\/9)*t)\/t**2)**(-3\/11) assuming t is positive.\nAnswer: t**(523\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -0.2 (c) -0.1 (d) 4\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -104414? (a) -4 (b) -6 (c) 6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-24))\/(23\/(-69)). Let p = 4 + -3. Which is the biggest value? (a) p (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 9*h + 6. Let i be p(-9). Let t(k) = -k**2 + 7*k - 8. Let z be t(i). Let v = z + 8. Solve 4*b = b - v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -5) + 6 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 6*x + 5*x + (1 - 1 + x)*(6 - 2 - 2) + 2*x + 3 - 3 + 1 - 4*x - 1 + 167 - 45*x - 47*x + 90*x to the form v*x + i and give i.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - f**2 + f + 3. Let a be q(-2). Suppose 0*t = t. Let s = t - -2. Are s and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + -0.1. Let h = -1 + m. Let a = 0.199996 + h. Round a to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*n - 4*t + 19, 0 = 2*n - t - 1. Let w be (3\/n + 0)*(-17 + 13). Let q(d) = -d**3 - d**2 + 8*d - 5. Is q(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + c + c)*((-c + 2*c + 0*c)*(3*c - 2*c + 4*c) - c**2 + 4*c**2 - 4*c**2) in the form b + p*c**2 + j*c + r*c**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let o(g) be the first derivative of -9 + g**3 - 2 + 0*g**3. What is d(o(f))?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/(-10)*984\/287. What is the highest common divisor of j and 3108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44735 rounded to the nearest 100?\nAnswer: -44700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 8*o - 6 = 9*o, 2*o = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 9:36 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppptpt. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/519? (a) -0.5 (b) -5 (c) -118 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072)*4 + sqrt(9072) + -4 + (sqrt(9072) - (-2 + (sqrt(9072) - sqrt(9072)*-5))))**2*-5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61243 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, 4, -4 in ascending order.\nAnswer: -9, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 29 + 1 = 0. Solve -d + 0 = -5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z. Let g(k) be the second derivative of -4*k + 0*k**3 + 0*k**2 + 0 + 5\/6*k**4. Calculate g(b(f)).\nAnswer: 490*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43199 + -11328. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1*(-7)\/28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 94.15387 meters?\nAnswer: 94153.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27220466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = y - 80, 4*u - 4*y - y - 80 = 0. Suppose -3*a = -3*c - 12, c - a + u = -4*a. Is ((-45)\/12)\/(3\/c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/3*(-96)\/36. Let u = d - 115\/18. Which is the nearest to -0.1? (a) u (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - 28*s**2 - 32*s**2 + s - 21*s**2 + 21*s**2 - 27*s**2 to d*s**2 + r*s + h + i*s**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w - 108. Let b = w - -41. Let p(j) = j + 4. Let m be p(-5). Sort m, b, 2.\nAnswer: m, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3.5. Let f = d - -1. Let p = 5.08 + -0.08. Which is the nearest to 1\/4? (a) p (b) 1\/6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 48. Is a(11) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h. Suppose h = 3*r - 0*r - 15. Solve -3 = -4*y - 5*p, -r*y + 0*y + 3*p - 24 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**8)\/(i\/(i\/i**(9\/2)*i)))\/(i**8*i\/i**4*i))**(-36) assuming i is positive.\nAnswer: i**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 124627 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13*g**2 + 38*g + 96. Let i(z) = -24*z**2 - 77*z - 191. Let q(p) = 6*i(p) + 11*n(p). Let a be q(-42). Let m(j) = -3*j - 6. Determine m(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 9:25 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 11:35 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 325788, 325800, 325836, 325908, 326028?\n\"Answer: 2*p**3 - 2*p + 325788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-2\/9)))\/s**(2\/11))**(3\/4)\/((s**(-4\/5)\/s**0)\/(s**(1\/9)*s**(3\/5))) assuming s is positive.\nAnswer: s**(598\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4306 - 0.5694. Which is the nearest to 1\/3? (a) d (b) -47 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307 - -372 - (-9 - (-9 + 5 - 2)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3911.995798 + 3912. Round g to 4 dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*z + 10*z - 6*z)*(z**3 + 5*z**3 - 4*z**3) + 7*z**4 + 2*z**4 - 3*z**4 in the form l + h*z**4 + b*z + i*z**3 + r*z**2 and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 3*u - 4. Let z(a) = -7*a - 1372*a**2 + 9 + 670*a**2 + 706*a**2. Calculate -13*r(h) - 6*z(h).\nAnswer: 2*h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and -730392?\nAnswer: -248333.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 5*a**9\/63 - 4*a**7\/105 - 229*a**5\/60 - a**3\/6 + 2*a**2 - 24*a. What is the third derivative of f(u) wrt u?\nAnswer: 4800*u**3 - 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1058468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 264?\nAnswer: -25c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 892650050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64c47f (base 16) to base 9.\nAnswer: -13374760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-7\/4)*z*z**8*(z**0*z)**40)**(-2\/5) assuming z is positive.\nAnswer: z**(-193\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + -1 + sqrt(300) + sqrt(300) + sqrt(300)))**2 + (-1 + 1 + sqrt(243) + 1)**2.\nAnswer: 6018*sqrt(3) + 68144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i + 17*i = 23640. What are the prime factors of i?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33574756 and 12512.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5270 and 51680?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 726 divided by -363?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78\/(-12)*(1 + (-21)\/3). Let i(p) = -7*p + 3. Let u be i(3). What is the tens digit of (n\/9)\/((-2)\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbjot. Give prob of picking 1 j, 1 b, and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 10)\/(8 - 10). Solve -5*a = -a - z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 10:32 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 8*w**2 - 9*w - 1. Let p be u(-9). Let r be (21\/14)\/(p\/26). Let x = -20 - r. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-460)\/(-6) + 2\/(-3). Let w = 96 + b. Suppose 0 = 2*n - 9*v + 4*v - 165, -2*n = 2*v - w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 33 = 57. Suppose c + p*y + 29 = 6*c, -y + 19 = 4*c. Factor 4*v**4 + 0*v**2 - 5\/3*v**c - 4\/3*v**3 + 0 + 0*v.\nAnswer: -v**3*(v - 2)*(5*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 29. Solve -n*c - 4 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2205 and 1890?\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + 5 + sqrt(35)\/((sqrt(5) + (sqrt(5) - sqrt(180)) + sqrt(5))*2) + (sqrt(175) + 0)**2*-3.\nAnswer: -512 - sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 9 - (1 + -1 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvv. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 11198?\nAnswer: 111a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -44. Let z = -9 - f. Let u = 14 - 10. Solve -z*h + 5*h = -u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-4*3*sqrt(198))\/(-4*(sqrt(11) - (sqrt(275) + sqrt(275) + 1*sqrt(275)))*-1))**2.\nAnswer: 81\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (392\/(-112) + (-52)\/(-8))\/(32\/(-6) + 1)?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56903 or 56838?\nAnswer: 56838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23\/52 - 9\/13. Which is the second biggest value? (a) 7 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -225*k**3 + 308*k + 308. What is the remainder when 1552 is divided by t(-1)?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(20) + (sqrt(2000) - -1*sqrt(2000) - sqrt(2000)))\/sqrt(4))**2 - sqrt(240)\/(sqrt(48)\/sqrt(4))*6.\nAnswer: -1210 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*k*z**2 + 20*z**2 - 2 wrt k.\nAnswer: -55*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 33*f + 7. Let n(v) = 49*v + 10. Let b(x) = -5*n(x) + 7*q(x). What is b(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 256947, 513892, 770837, 1027782, 1284727, 1541672?\n\"Answer: 256945*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -20 and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from hrccor.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 152542890041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13496 and 392?\nAnswer: 94472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q + 445. Give x(-29).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.167 + -11353163\nAnswer: -11353161.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(((u\/u**(-1\/3))\/u)\/u)*(u\/(u**(-5)*u))\/u*u*(u**0)**9 assuming u is positive.\nAnswer: u**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**6\/30 - b**5\/20 - b**4\/3 + b**3\/6 + 4*b. Let s(m) = m**2. Let p(n) = r(n) + 5*s(n). Solve p(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.5 and 1.04?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 4. What is p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -1\/5, 4\/3, -2200, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from mmmmvmxmmm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -17996 divided by 409.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120*z**4 - 2*z**2 + 37?\nAnswer: -480*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w. Let x(c) be the second derivative of 67*c**4\/2 - 689*c. Determine m(x(i)).\nAnswer: -2010*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3655 (base 16) in base 9?\nAnswer: 21064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44863684 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2261 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5253\/(-34))\/(6\/8). Is x smaller than -206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2449*z = 2448*z + 7. Suppose 0*d - 15 = -3*d. What is the second derivative of z*k**5 - 9*k**5 + 7*k**d + 6*k wrt k?\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2858195.\nAnswer: 5, 523, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = -5*u + 9, 3172*g - 3169*g - 4*u - 54 = 0. Let f be (4\/(-2))\/(2\/(-9)). What is the greatest common factor of f and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 310*n. Let d(f) = 846*f. Calculate d(l(t)).\nAnswer: 262260*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26996 - 13688. Let q = s + -8039. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.84813 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 2. Let m(o) = 14*o - 1. Calculate the remainder when m(2) is divided by g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176 + -176.126. Let p = 1.874 - s. Let r = 0 - -0.2. Sort p, 3, r in descending order.\nAnswer: 3, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 4)*(0 - 1 + 3) - 1 + 2 - 3)*(0 - 2*i + 0)*(0*i + 0*i + 3*i).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2353\/5, -2 in increasing order.\nAnswer: -2, 0.4, 2353\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -24, -0.01, -51\/10, -0.4, 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16886*a*s**3*x - 26*a*s*x + 15*a*s - 2*a*x + 7*a + 372*s**3*x + 14*s**2*x - 4*s wrt s?\nAnswer: 101316*a*x + 2232*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d - 3. Suppose -124 = 31*k - 31. Let x(b) = 5*b + 2. Calculate k*a(r) - 4*x(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*3\/(-54)*3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(343) + 0))**2 - (sqrt(35)\/(sqrt(15)\/sqrt(3)) - (sqrt(448) + -1*sqrt(448))**2).\nAnswer: -sqrt(7) + 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvrr. What is prob of sequence vr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6484 + 15489. What are the prime factors of u?\nAnswer: 5, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - v + 673731, 3*v - 673723 = 1035*n - 1040*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122114 (base 5) to base 8.\nAnswer: -47474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3613 + 4172?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.074178*-0.3\nAnswer: -0.0222534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 785 + -790. Which is the closest to 1\/4? (a) p (b) 3\/14 (c) 1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -534165112?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*f + 3 = -29, 0 = 4*z - 5*f - 32. Suppose 1151 = z*m + 287. Suppose i + m = 2*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315511 divided by 2303.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**5\/20 + 5*k**4\/12 - k**3\/3 - 3*k**2\/2 + 3*k. Suppose b + 4*b = -4*h + 16, -2*b = h - 7. What is the units digit of v(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-16))\/((-1)\/10). Suppose -5 = q + 4*v, -4*q = y*v + 10 - 1. Is (1052 - (q + 4))*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(-8*h**3 + 8*h**3 - 2*h**5).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -1\/120*r**5 + 0 + 1\/360*r**6 + 0*r**2 + 2*r + 1\/3*r**3 + 1\/4*r**4. Let b(g) be the second derivative of z(g). What is b(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**5\/12 - 5*j**4\/6 - 25*j**3\/6 - 95*j**2. Solve r(q) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 21*h**2 + 53*h - 15. Let s be v(-18). Let r(n) = 5*n - 12. Let i(d) = -13*d + 34. Let l(u) = s*i(u) + 8*r(u). Let c(q) = q. Determine l(c(g)).\nAnswer: g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/33735 - 1734013\/1146990. Let z = 3\/34 - q. Factor -z*o - 4\/5*o**4 + 0*o**3 + 0 + 12\/5*o**2.\nAnswer: -4*o*(o - 1)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = v, 5*v + 5*y + 106 = 86. Which is the second biggest value? (a) 2 (b) -2\/17 (c) v (d) 0.207\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*t**2 + 4*t**4 + 148*t**2 + 1 - 3*t**4 to h*t**4 + g + b*t + p*t**2 + d*t**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 1.3, -3, -1, -1\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*n + 5*r, 23 = 2*n - r + 5. Suppose 24 = 3*m + 2*m - 2*k, -5*k = 5*m - n. Suppose 196 = m*i - 0*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 4)\/(846\/159). Let i = -4\/47 + x. Which is the second biggest value? (a) -5 (b) -10\/3 (c) i (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2280910, -4561823, -6842736, -9123649, -11404562, -13685475?\n\"Answer: -2280913*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*t**4 + 4*t**3 + 50*t - 42967.\nAnswer: 16*t**3 + 12*t**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 11*b**2 - 14. Give k(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.33796 - 3.66204. Which is the closest to r? (a) -1 (b) -2\/9 (c) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuptuuumwuusmuu. What is prob of picking 1 t and 1 m?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 + 149. What is the highest common factor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468150*1.\nAnswer: -468150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-9)*1043\/14 and 121\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*r*z**5 - 58201*r*z**2 - 179*r*z - 2*r - 189416*z**5 wrt z?\nAnswer: 6720*r*z**2 - 11364960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -808 + 1268. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (5 - 5) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14999964.\nAnswer: 2, 3, 7, 178571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 41*y - 13. Let a = 160 + -181. Let m be k(a). What is m rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-8)*3\/(-2). Suppose 28 = 5*y + p. Suppose 0 = 5*v + 2*j, 3*v + 5*j + 18 + 1 = 0. Is y != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 53\/5. Let g be (-77)\/(1001\/(-2)) - 1\/(-13)*11. Put 6\/5, f, g, -1 in increasing order.\nAnswer: -1, f, g, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 130*h**2. Let y(z) = -8*z + 2*z + 0*z + 43 - 43. What is y(a(m))?\nAnswer: -780*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -5)\/((-5)\/(-40)). Suppose -c*j = -13*j + 180. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 + 137. Suppose 4*k - 84 = -f*y, -11 = -y + 5*k - 2. Calculate the remainder when 74 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*w*z**3 + 17*w*z**2 - 242288822*w*z + 15117*z**3 wrt z.\nAnswer: 96*w*z + 34*w + 90702*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899407 rounded to the nearest one thousand?\nAnswer: 1899000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 1 + 1\/2*b**2 - 4*b. Suppose 3*w - 3 = -0, 3*c - 5*w = 4. What is a(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*l**4*z**3 - 4*l**4 + 2*l**2 - 23*z**3 wrt l?\nAnswer: 1152*l*z**3 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3252*a*w + 2*a*y + 2*w*y - 469*y wrt w?\nAnswer: 3252*a + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449.885ml to litres.\nAnswer: 0.449885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02891 and 0.5.\nAnswer: -0.014455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*l**2*u**3 - 3*l**2*u**2 - 6*l**2 + 28679*l*u**5 - 22826*l*u wrt u?\nAnswer: 516*l**2 + 1720740*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 + -3.8. Let d = x - 0.5. Is -2 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -20 (b) 1\/19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 + 100011001001000100110?\nAnswer: 100011001001000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 99. Let x = m + -29.6. Which is smaller: x or -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3036250704 by -2.\nAnswer: 1518125352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 + 8162*y**2 - 3*y + 8185*y**2 - 16342*y**2 in the form x*y + k*y**2 + l and give l.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-7)\/((-21)\/(-12)). Suppose 2*x - 3*i - 387 = -x, -q*x + 4*i = -383. Does 30 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4264, 8446, 12636, 16828, 21016, 25194, 29356, 33496?\n\"Answer: -l**3 + 10*l**2 + 4159*l + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 724, 732, 744, 760?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3751471 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120202 (base 3) in base 12?\nAnswer: 2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*i - 6. Suppose -i*y = 2*y - 140. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15995911 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5248 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*-20.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 981, -0.169, 3 in increasing order.\nAnswer: -0.169, 3, 4, 981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 2) to base 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/5)*p*p*p)**(-3\/26)*(p**(2\/5))**(11\/4) assuming p is positive.\nAnswer: p**(77\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 731, -7, 0.4, 3, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401002052 a multiple of 718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 819 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - 9270\/225)*(-10)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 3*m**2 - 2*m - 3. Let q be l(-3). What is the greatest common factor of 7 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123.90357 hours to weeks.\nAnswer: 0.73752125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/42 less than -7\/176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 8*z**2 + 7*z + 8. Let c be x(-6). Let o = -24 + c. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -5\/2*l**3 + 0*l**4 - 15*l**2 + 0*l**5 + 0*l + 1\/8*l**6 + 0. Let p(n) = 7*n**3 - 7. Determine -6*j(z) + 13*p(z).\nAnswer: z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30900 and 600.\nAnswer: 61800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.035 + 836905.\nAnswer: 836904.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, 1\/342574, 1\/4, -3?\nAnswer: 1\/342574","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 2*u**3 - 2*u**3)*(-3 - 3 + 2).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.59 + 0.09. Let o = r - -1. What is the biggest value in o, -0.5, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + 44*b + 5. Let l be k(-13). Suppose l + 4855 = 17*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 2871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16087 + -16087.0000014029. What is x rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -65. Let x = s - 25. Let t(v) = v + 1. Let u(b) = -9*b - 12. Let g(c) = x*t(c) + u(c). Let k(d) = -d**2. Determine k(g(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - m = -3*m - 68, -2*m - 102 = 3*c. Let x = 37 + c. Sort x, 5, 0, -3.\nAnswer: -3, 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*l**2 + 2*l**2 + 2*l**2)*(-2*l + 5*l - 2*l - 2).\nAnswer: -18*l**3 + 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z**2 - z**2 + 2*z**2)*(-64*z**2 - 1331 + 1331) to the form p + q*z**3 + u*z**2 + l*z + d*z**4 and give d.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(3\/7)*i)\/i)\/i)\/(i\/((i*i**(-2\/25))\/i*i*i))*(i**(1\/4)*i)**(-10\/3) assuming i is positive.\nAnswer: i**(-4009\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 + 2. Let s(p) = -2*p**3 + 2*p**2 - 33*p + 10. What is 4*g(h) - s(h)?\nAnswer: -2*h**3 + 2*h**2 + 33*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q - 5*u + 19, -4*q + u - 13 = 0. Let k(d) = -d + 2. Let r(a) be the second derivative of -a**2 + a - 3. Determine q*k(v) - 3*r(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-10)\/4) + -3. List the prime factors of (-2 - -15) + y + 2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -31*i - 110. Suppose -5*d - 73 = 17. What is the tens digit of f(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(7\/(-14602)). Let q = p + 1139. What is the greatest common divisor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -338 + 7427\/4*x**2 + 11\/4*x**3 - 3043\/2*x = 0. What is x?\nAnswer: -676, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 14 = -5*y, -l - 7*y = -8*y - 4. Suppose l*s - 4*s - q + 93 = 0, 0 = 4*q - 20. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 182583, -0.8, -2 in increasing order.\nAnswer: -2, -0.8, 1\/4, 182583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:20 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f. Let w = -3.63 - 1.02. Let u = w + 9.65. Is u bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0394136 + -0.0396. Round n to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/153 (c) -0.3 (d) -39 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -437\/4 - -109. Which is the fourth smallest value? (a) q (b) -11 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1008 and 4.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 43.879?\nAnswer: 42.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 14 = -3*f - a, -135*f = -140*f - 4*a - 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 22 = 6*n. Suppose r - 6 = 2*t + 4*r, 3*t + n*r = 1. Solve -3*i + t = -6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, s: 6}. Give prob of sequence ssls.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d*i*k - 5*d*k**2 + 2*d*k*z**2 + 2*d + 5*i*k**2 - i*k*z**2 + 6*i*z**2 + 2*i*z with respect to d.\nAnswer: -6*i*k - 5*k**2 + 2*k*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqcqcq. What is prob of picking 4 q?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 742 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3*p - 0*p - 9*u + 63, -5250*u = -12*p - 5249*u + 202 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {c: 18, q: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5661, 0.4, 14.679 in increasing order.\nAnswer: -5661, 0.4, 14.679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -y - 7, -3*b + 1602*y - 1604*y + 1 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46718318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2494, -4076, -5658, -7240, -8822?\n\"Answer: -1582*o - 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - 24. Let i = j + 38. Let o = 0 - -0.1. Which is the third smallest value? (a) 1\/4 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18037337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14440388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 215228981101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 298800 + 40485 = 0. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549137363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, q: 3, v: 3, k: 6}. What is prob of picking 1 v and 1 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14760826*x - 11965720 wrt x?\nAnswer: -14760826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:04 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6340317l in millilitres?\nAnswer: 634.0317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -10*p - 59 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 4:36 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -4720370\nAnswer: -2832222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/5112 and 61\/188.\nAnswer: 240264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1186553 rounded to 4 dps?\nAnswer: -0.1187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 3\/2, -2784, -2, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*p**3 + 43*p**3 - 1450*p + 1448*p - 38*p**3.\nAnswer: 167*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**7\/120 + p**5\/15 - 2*p**3 + 2*p. Let o(n) be the second derivative of y(n). What is the second derivative of o(s) wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107182 divided by 23.\nAnswer: -107182\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**4 + 72745*v**3 - 270574125*v**2 + 43361622135*v - 659308632750 = 0.\nAnswer: 17, 150, 7191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101000 - -11110000?\nAnswer: 11100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbiibbbi. Give prob of sequence iibb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592 = -254*h + 480*h - 263*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*z - 30 = r, 4*z = 20. What is the common denominator of ((-85)\/r)\/((56\/(-12))\/(-7)) and ((-212)\/136 - -3) + -3?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/861 or 1?\nAnswer: -1\/861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -220*d + 1230 + 10*d**2 + 447 - 5*d**2 + 743 = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1694 and 47194.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 30 = -5*d, 0 = d - 5*q - 4 - 2. Let t = -4 - -6. Suppose 3*r - 40 = -n - n, 0 = t*r - 5*n - 14. Calculate the greatest common factor of r and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q - 3. Let o be 7\/3 + (-2)\/6. Let y(v) = 3 - o + 3*v + 1. Let r(c) = -4*t(c) - 6*y(c). Let u(m) = 2*m. Give u(r(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 87. Calculate the least common multiple of 2 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -12. Is -6 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -102, -137, -172, -207, -242?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -21*j + 52. Suppose -3*r - 7 = -3*s - 106, -s = j. Solve u = -33 + r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222100201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602*b = 97*b - 1343 - 172 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 239068\nAnswer: -3\/239068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 + 24123202?\nAnswer: 24123330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01452174 and 0.1.\nAnswer: 0.11452174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 w when three letters picked without replacement from whlhihshl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3)*(-2 - 25). Let a(z) = 2*z**2 + 4*z + 2. Let d be a(-2). Suppose 0 = 4*w - 8*w + 8, d*k + 6 = 2*w. Put 5, k, q in decreasing order.\nAnswer: q, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -176.1\nAnswer: 88.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (1 - ((-6 + 4 - 8) + 6 + -2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 24 = -1. Let t(l) = 4*l**2 + 12*l - 1. Let m(h) = 3*h**2 + 8*h - 1. Let g(w) = j*t(w) - 7*m(w). Give g(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.906 - -0.094. Which is the second biggest value? (a) n (b) 0.2 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -535 - -540. Let j(g) = g + 11 - g - 2*g**2 + 40*g**2. Let d(q) = -76*q**2 - 22. Let s(x) = l*j(x) + 2*d(x). What is the derivative of s(t) wrt t?\nAnswer: 76*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + t**2 - 5*t + (0*t - 4*t - 4*t)*(-3 - t + 3))*(6*t**2 + 20*t**2 - 37*t**2)*(3 - 1 - 1).\nAnswer: -99*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 12:58 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + (2 - 1\/(-8))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -3*b**6\/40 - b**3\/2 - 30*b**2. Find the first derivative of r(x) wrt x.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 4*v + v. What is the highest common factor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15083 + 450945 = -853*j + 6289*j - 66700 for j.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -k - 0*y + 7, 0 = -4*y - 20. What is the third biggest value in k, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 107. Let y(c) = -2*c - 2. Let g be y(7). Let f = g - z. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27366 and 12?\nAnswer: 54732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -22.97158.\nAnswer: 91.88632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, w: 2}. Give prob of picking 3 m.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 11) in base 9?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m + 10. Let q(k) = -k**3 - 16*k**2 + 12*k - 89. Let u be q(-17). Give y(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 - 1549*f**2\/5 - 3102*f\/5.\nAnswer: f*(f - 1551)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*j - 4227 + 3993. Let u be (-6)\/(-27) - 1\/9. Let y = -0.3 + -0.2. Put 0, j, y, u in ascending order.\nAnswer: j, y, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j - j**2 + 1965 - 1965 + (-3 + 3 - 2)*(-2*j**2 - 4*j + 4*j) + 0*j**2 + j**2 + j**2.\nAnswer: 5*j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1172708790 - 0.5.\nAnswer: -1172708790.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34\/349 + -506918\/1745. Let g = p - -292. Suppose 2\/5*l + 6\/5*l**3 - g*l**2 + 0 = 0. Calculate l.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44155177.\nAnswer: 11, 859, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/sqrt(144) + 2*sqrt(3)*-3.\nAnswer: -23*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f - 1592 = 228 - 236 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2555111983.\nAnswer: 1087, 2350609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/5 (b) -34 (c) -4 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170170?\nAnswer: 2, 5, 7, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5602339ml in litres?\nAnswer: 0.0005602339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p + 4. Suppose -48 = -7*h - 9*h. Let f(c) = 4*c - 5. What is h*y(a) + 2*f(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19801637 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: What is fourty-five quarters of a millimeter in micrometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.6 and -104780.\nAnswer: 481988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049483330?\nAnswer: 2, 5, 7, 23, 651853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364, -737, -1114, -1495, -1880, -2269?\nAnswer: -2662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 975 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 38.449?\nAnswer: 34.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (-22)\/((-88)\/(-12)). Let d(i) = i**3 - 2*i**2 - 4*i + 1. Let f be d(3). Let m be -6*(f - -3)*-5. Calculate the greatest common divisor of j and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 702 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1716 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311, -383, -501, -665, -875, -1131?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 times -266.22?\nAnswer: -90781.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 + -0.1. Let z = 154 + -1957\/12. Let j = z + 37\/4. Which is the third smallest value? (a) j (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjvomvyjoxjxvv. What is prob of picking 1 m and 1 o?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**3 + 4890*f**4 - 4888*f**4 - 110*f**2 - 22*f**3 - 76*f.\nAnswer: 2*f*(f - 19)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r + 3. Suppose -7*x - 240 = 8*x. Let k = x - -8. Let t(i) = -24*i - 8. Give k*d(f) - 3*t(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130601 (base 11) to base 3.\nAnswer: 101110011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + (-1092)\/219)\/(-1). Let m = t - 939\/730. What is the common denominator of -91\/20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2 + 0 - 2 + 12*d**2 as b + y*d**2 + n*d and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 815\/1019 - -1\/5095. What is the closest to t in -2\/5, 5, 2\/9, -1\/44?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o - 4 - 3 - o**2 + 3 - 2. Suppose n = k + 1 + 5, 0 = n - 4*k - 12. Determine m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -33.1, -28, -0.01, 3\/1150?\nAnswer: 3\/1150","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 481 and 5.\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3108*c*l**2*n**3 - 3*c*l**2 - 6*c*l*n**3 - c*l*n**2 - 3*c*l*n + 2*c*n**3 + c*n - 4*l**2*n**2 - 297*n**2 wrt n.\nAnswer: -18648*c*l**2 - 36*c*l + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -353, -539, -725, -911?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 917260 to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5*(42\/1575)\/((-9)\/(-15))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/117*(-432)\/(-1344)*(-14)\/8.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 11 = -o, 58 - 3 = -4*o - h. Let q be -1*(o\/49 + 5\/(-7)). Let n be 521001 - (2 + 0 - q). What is n rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8214978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 139 = -5*q, 5*q + 2*m - 127 = 4. What is the biggest value in q, -4, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1392 and -71\/4.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*l**2 - l**2 - 2*l**2)*(-36*l - 19*l - 39*l) to p*l**2 + x*l + u + w*l**3 and give w.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59515452 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 - -0.02. Let d = 5.09 + -5. Which is the nearest to -1? (a) d (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 8:31 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 1. Let t be o(-1). Suppose 2*x + 16 = -t*x. Let u = 7 + x. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35888, -71929, -107952, -143951, -179920, -215853, -251744, -287587?\n\"Answer: i**3 + 3*i**2 - 36057*i + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-8\/5)\/x*x\/(x*x**(-1\/8)))**22)**(-16\/9))**(-1\/24) assuming x is positive.\nAnswer: x**(-121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27372 + -21536. Are 5836 and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -839 + 845. Let d(q) be the third derivative of 0*q**5 + 0 + 0*q**3 + 4*q**2 + 1\/105*q**7 + 0*q**4 + 0*q + 1\/168*q**8 - 1\/30*q**x. Factor d(j).\nAnswer: 2*j**3*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-11) - (-24)\/(-594). Which is smaller: l or 4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 - -111. Let l be s\/(-5)*((-55)\/3)\/(-11). Solve -4*n = -2*i - 26, -i - 1 = n - l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9.412 or -16?\nAnswer: -9.412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 996*b**2 + 7013*b + 53. Give j(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6604 - -7271. Calculate the smallest common multiple of a and 8.\nAnswer: 5336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4412 and -26\/12133.\nAnswer: 48532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/10 - 33*k**4\/10 + 3*k**3\/10 + 101*k**2\/10 + 33*k\/5 = 0.\nAnswer: -33, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 17545 = 78*o - 76*o, -v = 2*o - 17565. Is 161 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/276 and -53\/652.\nAnswer: 44988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t\/(t\/(t\/t**(-1)*t))*t)))**(-6)*(t\/(t*t**(-1))*t)**(-28\/3))\/(((t*t**(4\/5))\/t**4)\/(t\/t**0*t**(-5\/2))) assuming t is positive.\nAnswer: t**(-1439\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 0.03. Let h = 0.31 - t. Suppose p + 3*w + 14 = 4, -2*p - 5*w = 16. Which is the third biggest value? (a) p (b) 1\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 33 + 24 = 0. Suppose -27 = -x*c + 10*c. Suppose -c*w - 24 = -5*w. Solve 0 = -0*j - 4*j - w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**4 - u + 2*u**2 - 22*u**3 + 1373 - 1375 - 13*u**3 as i*u**2 + z*u**3 + s*u + d + m*u**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(6)*2 + sqrt(6)) - sqrt(486)*2)\/((sqrt(2) - (6*sqrt(2)*-1 + sqrt(2))) + 3*sqrt(6)\/sqrt(3)).\nAnswer: -7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i**4 + 0*i**3 + 0 + 5*i**2 - 3\/20*i**5 + 0*i + 0*i**6 + 1\/15*i**7. What is the third derivative of c(m) wrt m?\nAnswer: 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**5\/20 - y**4\/12 + y**3\/6 + 23*y**2\/2 + 14*y. Determine v(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28700 (base 14) in base 6?\nAnswer: 2051404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + h**3 - 2*h**3 + 4*h - 6 - 1 + 5*h**2. Let i be u(6). What is the highest common factor of i and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -49*s - 649. Determine l(-30).\nAnswer: 821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 110 = 26*f. Let v = 127 - f. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((43\/6)\/((-104)\/72) + 5)\/(-1)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let k(r) = 5*r**2. Determine k(c(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 - 12*t**2 + 3*t**2)*(3*t**2 + 0*t**2 - 4*t**2).\nAnswer: 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -2094 = -2076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2451 and 2709?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/4428 and 71\/8.\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13501*y - 2669*y - 2672*y - 2811*y - 2678*y - 2672*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -279 (base 10) to base 11\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1754, 1743, 1710, 1643, 1530, 1359, 1118, 795?\n\"Answer: -2*c**3 + c**2 + 1755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 4*v + 1. Suppose -3*z + 3*c = -0*c + 6, 5*z + 18 = c. Give h(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2730\/525 - (-2 - (-11)\/5). Solve 0 = 2*h + a - 11 + 8, w*h - 5*a = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n. Which is the third biggest value? (a) n (b) -1 (c) 0.4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*g - 44*g - 42 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 10*c**2 + 9*c - 20. Let b be h(-11). Suppose -5*r + b*v = -14, -1 = -4*r + 4*v + 3. Solve -r*s + q - 14 = -q, 2*q - 4 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**0)**48\/((o*o\/o**6)\/(o\/(o*((o*o\/o**(-6\/11))\/o*o)\/o*o))))**(-23))**(3\/35) assuming o is positive.\nAnswer: o**(-1104\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1\/5)*n*n*n)\/n)**32)**43 assuming n is positive.\nAnswer: n**(19264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/22)\/o*o*o*o**(-10\/11)\/o*o*o*(o\/(o\/(o*o\/(o\/(o*o*o**4)*o)*o)))**39 assuming o is positive.\nAnswer: o**(6029\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1567 = 56*z + 615 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1410 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*l - 171, -4*l - 5*d = -13 - 109. What is the greatest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/v**(-3)*v)\/v)\/v)\/(v*v**(-4))*v**0\/v*(v*v\/(v**7*v))\/v assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719*d + 721*d = 1544. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -131, -112, -75, -14, 77, 204, 373, 590?\n\"Answer: h**3 + 3*h**2 + 3*h - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90759793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 7, m: 1, w: 3}. What is prob of sequence wss?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841733529 to the power of 1\/2, to the nearest integer?\nAnswer: 42915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400273 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -376 - -376. Solve o = 2*y - 6*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = m + 3*p, 5*m + 0*m = -3*p. Suppose m*h = -202 + 763. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5736 is divided by 384.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 17.78. Let l = v + -0.08. Is l not equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 52*i - 64*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92188.93 take away -13.38?\nAnswer: 92202.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) -6\/5 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (34 - 45) - -7 - 71.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -862 (base 16) in base 2?\nAnswer: -100001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4 - 3 - 4*i + 9 - 4 + i**2. Let x be o(4). Suppose -x*q - 39 = -9*q. What is the lowest common multiple of q and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (67 + -67)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 6*o + 2. Let w = 0 + 0. Find the first derivative of -o*x - 1 - x - 4 + w wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-6)\/20) + 6\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yycriyyyy. What is prob of sequence ry?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 2*x**2 - x + 4. Give v(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -264, 5, 4, -2 in descending order.\nAnswer: 5, 4, 3, -2, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196552, 393111, 589672, 786235, 982800, 1179367, 1375936?\nAnswer: 1572507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9519.143 tonnes in kilograms?\nAnswer: 9519143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 2*s + 2. Let w(j) = 14*j**2 - 24*j - 24. Let h(n) = -w(n) - 12*x(n). Let z(l) = -22*l**2 + 14. Determine h(z(a)).\nAnswer: -968*a**4 + 1232*a**2 - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 14 + 16. Is 2\/(f\/35729)*(47 + -46) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097446 to the power of 1\/2, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26210929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -873.5*-676\nAnswer: 590486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i = -358112 - 107612 - 673801. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173394 is divided by 171233?\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 44\/5 of a minute?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2. Suppose -s + 2*r - 11 = 0, -3*r = -4*s + 2*r - 35. Let p(j) = -6*j**2 - 7*j - 4. Let g(d) = s*o(d) + p(d). What is g(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 211, 734, 1759, 3454, 5987?\n\"Answer: 28*v**3 - v**2 - 4*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) + sqrt(104)*-2))*-4)\/((sqrt(88)*2)\/sqrt(11)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*p = -16, 5*t + 1 = 3*t + 3*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-3 + -17)) + -41.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 59e + -2?\nAnswer: 59c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -50.375\nAnswer: -35.2625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, 0.1, 6 in descending order.\nAnswer: 19, 6, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + o - 5*o)*(69*o**2 - 52*o**2 + 191*o**2) in the form k*o**2 + z*o + p*o**3 + s and give p.\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8879 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 44\/5 of a millisecond?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001626376 to seven dps.\nAnswer: -0.0001626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2881.155 weeks?\nAnswer: 20168.085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7817792 divided by 736?\nAnswer: -10622","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(455\/28))\/((-2)\/10). Solve -g = s - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 5, 35.2, 0.3, 0.4 in increasing order.\nAnswer: 2\/19, 0.3, 0.4, 5, 35.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69.7 - 2.3. Let w = -69.45 - c. Round w to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h + 86*h + 87 = 279. Solve -r + 3*q - h = 3, -3 = -3*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 76, 28 in increasing order.\nAnswer: 2, 7, 28, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 20. Calculate q(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -55. Suppose l*s = 33 + 75. What is the remainder when 119 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*d + 37, 3*d = -x - 2*d + 28. Suppose -11 + 2*i**x + 11 = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = 15*x - 16*x + 6328. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 15 = -5*m - 0*w, 0 = -2*m - 2*w. Let c be m\/3 - (0 + 1). Let k = -0.07 + 0.07. Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + x - 5. Let v be g(0). Let k(b) = b - 1. Let i(q) = -94 - 3*q + 90 + 7*q. What is v*k(j) + i(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2103 or 2101?\nAnswer: 2101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + 8 + -10 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + -1*-2*((1 + sqrt(720))*5 + -2) + -3)**2.\nAnswer: 1200*sqrt(5) + 72022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/24040 and -11\/488.\nAnswer: 1466440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (306\/15)\/(2\/(-10)). Find the common denominator of (-4)\/(32\/n) - 1 and 10\/(-40) + (-190)\/88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -5. Suppose 0 = -3*s + 3*i + 93, -s + r + 9 = -5*i. Let c = s - 2. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {n: 12, w: 2, c: 5}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1007 divide 365659826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 955238983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 23, 6, -27, -82, -165, -282, -439?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(243) + 3)*-3 + (3*sqrt(243) + 4 - sqrt(243))*2)**2 + 0.\nAnswer: 18126*sqrt(3) + 90532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 3*n**2 - 2*n**4 + (3 - 1 - 5)*(4*n**4 - n**4 - 4*n**4).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 6:55 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(448\/(-108) - -4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g + 7*g = -748. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + f + 4 = 0, -4 = a - 5*f - 24. Let n(b) be the first derivative of 2\/27*b**3 - 1\/9*b**2 + a*b + 1. What is g in n(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**4\/24 + 5*s**3\/12 - 3*s**2\/2 + 69*s + 42. Let y(p) be the first derivative of r(p). Find b, given that y(b) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 21.3. Which is the third smallest value? (a) -1\/9 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 3:58 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2245388 divided by -83\nAnswer: -2245388\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044.368 take away -425?\nAnswer: 2469.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(7) - sqrt(63)\/(sqrt(9)*1))*5)**2 + 3 + (sqrt(7) + sqrt(28)\/(sqrt(4)*-1))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 + 0)*(-3 + 1 + 0) + 1182 + 633 - 402 + 896)*(s**2 - 5*s**2 + 2*s**2) + (-1 - 3 + 6)*(-2*s + 2*s + 3*s**2).\nAnswer: -4608*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 322\/(-69)*(-2 - ((-140184)\/(-42) - 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 781*t - 3838. Give g(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10384*h**3 - 2*h**4 - 192*h**2 - 2*h + 4*h + 10384*h**3 - 20766*h**3 to the form r*h + s*h**4 + m + q*h**2 + f*h**3 and give q.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4675633 divided by 1.\nAnswer: -4675633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**2. Let u = 9232 + -9232. Let j(n) be the second derivative of -n - 1\/3*n**3 + u*n**2 + 0. Determine i(j(c)).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 3517803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + 2*u**2 - 3*u. Let g be o(3). Let w be (-4)\/10 - (-6)\/g. Let t = -0.04103 + -0.45897. What is the closest to w in t, -1\/16, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -765.02763 to the nearest ten.\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5038900 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + 4*a**5 - 3*a**5 + (-3*a**4 - a**4 + 5*a**4)*(15 - 15 + 6*a)*(-3 - 1 - 21).\nAnswer: -148*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggzgrrrggzzryg. Give prob of sequence gzr.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 1. Let c = 34 - 57. Let i = 23 + c. Calculate the smallest common multiple of 7 and j(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203549.\nAnswer: 203549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2 - 10*z. Let q(i) = -2*i**2 + 3*i. Let y be 74\/10 - (-6)\/(-15). Calculate y*q(k) + 2*t(k).\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -652.57944 and 3974?\nAnswer: 4626.57944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32951121.915 and 9.\nAnswer: 32951130.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2) + -3 - sqrt(18)\/sqrt(441).\nAnswer: -1 + 6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -17. Let g = h + 18. Suppose -u + 4 = -g. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 247 - 139. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 - 0.1. Let q(x) = -8*x**2 + 1136*x - 2. Let u be q(142). What is the nearest to u in -4\/7, b, 2.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 5*h**2 - h + 4. Let p = 104 - 54. Let b be 2\/(-10) - 140\/p. Calculate g(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 242768 and 6?\nAnswer: 728304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8, 4, 329\/4, 2\/5, 0, -262?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v*v**(-13)))\/v))\/v*v*(v\/(v*v**(-2\/5)))\/v*(v\/v**(-2\/31))\/v**(-2\/3) assuming v is positive.\nAnswer: v**(-4589\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**3 + 12*y**2 - 3*y + 3. Let z(p) = -p**3 - p**2 + p + 1. Let m(d) = c(d) + 5*z(d). Let t be (10\/(-4))\/(25\/60). What is m(t)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3682 - 22.6318. Which is the smallest value? (a) h (b) 0.03 (c) 4 (d) 2\/7 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + -3 + -5*(1*sqrt(99)*-3 - sqrt(99))*-6)**2.\nAnswer: 4320*sqrt(11) + 1425636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 5. Let n be (f - -4) + (1 - 2). Is 0 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 5*a**2 + 2)*(34*a**2 + 460 - 460).\nAnswer: -170*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-210))\/(4\/(-20)*-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/7 + 19*d**2\/7 - 4*d\/7 - 76\/7.\nAnswer: (d - 2)*(d + 2)*(d + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/61 in -0.04, 10, -9\/2, -0.05, 1\/7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3597909\/89 and -40426 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -2849660.\nAnswer: -1\/142483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) + (sqrt(17) - (sqrt(102) + sqrt(102)*-2 - sqrt(102))\/sqrt(6)) - (-4 + sqrt(85)\/sqrt(5)))*2.\nAnswer: 24 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -542 (base 6) to base 3\nAnswer: -21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*w - 210*w + 103*w - 2*w**3 - 543 to b*w + g*w**2 + r*w**3 + q and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -1\/2 (c) -0.34 (d) 2 (e) -0.1 (f) -244\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125890 and 330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 at least -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2226, 4453, 6680, 8907, 11134?\n\"Answer: 2227*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2) + -1 + 3. Suppose -q - 1 = -j, -3*j + 4 + a = -2*q. Solve -c - j = -0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129740 and 104120.\nAnswer: 675426440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*m, 5*m = -2*z + z. Suppose -2*j + j = 5*k + 5, z = -5*j - 4*k + 17. Suppose -5*v = w - 0*w + 10, -5*v = j*w - 30. Solve 3*a = w - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d**3 + 17*d**2 + 4*d - 18. Let u(x) = -200*x**3 - 375*x**2 - 90*x + 395. Let f(s) = -2*u(s) - 45*v(s). Factor f(p).\nAnswer: -5*(p - 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 + -37?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*((b*(b**(-9)\/b)\/b)\/b)\/b)\/b*b)\/b**(-3)*b**(-4)*b*b**(-2))\/(b**(-11)*b**(-4\/3))**(-6\/11) assuming b is positive.\nAnswer: b**(-217\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*n = -69 + 17, -2*n = -4. Suppose -1 = h - w. Let a = h - 8. Is 2 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o - 4891 = 16936. Let t = -643 - o. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1209296 and -4.\nAnswer: -1209300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -14. Let s(k) = -3 + 7 + k - 9*k + k - 20. What is the units digit of s(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 537143460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 709073 to the power of 1\/2, to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 - 13000*g\/3 - 1484888\/9.\nAnswer: 2*(g - 19538)*(g + 38)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109245589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-480)\/(-144)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000429338207 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -632 + 634. What is the closest to 5 in -3, v, -0.5, -3\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 21. Let u = -7 + l. What is the least common multiple of 5 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {j: 8, c: 3, b: 2, n: 2, l: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a gram in milligrams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12418 and 63.\nAnswer: 111762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557396563 is divided by 111479310.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 19 = 4*x, l + 6 = -2*x - 5. Let g = 125 - 164. Let r be l - (11\/4)\/(g\/12). Which is the nearest to 1\/4? (a) -6 (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + v - 5. Let w be o(6). Suppose 5*y = -w + 1001. Does 41 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182 - 177 + 657)*(-2*i**3 + 3*i - 3*i)*(-3 + i + 3).\nAnswer: -596*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-4)*-2006*(-71)\/(-2414)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by -11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Solve -4*v + p + 13 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:31 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - j = 14, 183*j = 2*b + 184*j + 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 2*r**2 - 3*r. Let b be ((-2 - -1) + 0)*((7 - 3) + -2). Give u(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 31*f + 2*f**2 + 58*f - 27*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 - 126*k\/5 + 264\/5.\nAnswer: -3*(k - 2)*(k + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32144797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4463*z - 27 = -5*s - 4459*z, 15 = 6*s + z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(8))**2 + 2) - sqrt(8)\/(-6*(sqrt(4) + sqrt(20)\/sqrt(5))).\nAnswer: sqrt(2)\/12 + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 + 14*t**2 - 10*t + 8. Give s(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -156*t + 1. List the prime factors of q(-5).\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/4)\/(-5)*(-24)\/(-135)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628153*k - 283232*k + 4 - 3 + 413625*k + 399160*k.\nAnswer: 1157706*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 82. Which is the closest to -1\/3? (a) 1\/6 (b) g (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6*g - 12 = 0. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 times 3.4\nAnswer: 190.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3402438 and 92544?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -5 (b) -3 (c) -23701 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by (-11 + 14)\/((-699)\/177 + 4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106995.\nAnswer: 3, 5, 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 1028, 1528, 2028, 2528?\nAnswer: 3028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -265, -257, -249?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-110)\/12*14\/(-77)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -40*x + 661. List the prime factors of c(0).\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11350983 plus 562103?\nAnswer: 562102.88649017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-1 + 132 + -3). Let j = -76807\/14 + 5483. Calculate the common denominator of (-5)\/2*q\/20 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 times 10.7?\nAnswer: 663.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -128447\/7 equal to -18349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -951060 divided by 158510\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95993*l**2 + 1 - 1.\nAnswer: 95993*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4057 is divided by 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 418091078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 12*q**2 - 13.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3 - 1492*y**2 - 6000*y = 0.\nAnswer: -4, 0, 750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71301582*r**3*x + 3*r**3 + 1741451*r**2 wrt x?\nAnswer: -71301582*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.02 (c) 0.1 (d) -0.6 (e) -2186 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*y - 15 = 0, -5*t + 1 = -3*y - 9. Suppose t*c - f - 18 = -6, 2*f - 6 = 0. Suppose u - 4 = -c*u. Which is bigger: u or 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 82, 2, 3, 0.2 in increasing order.\nAnswer: -15, 0.2, 2, 3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0.642634?\nAnswer: -6.357366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9\/3)\/3 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -0.67. Let k = 0.135 - -34.865. Let y = -40 + k. Which is the biggest value? (a) y (b) 0.3 (c) x (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - 26\/(-6) - 1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.382783m?\nAnswer: 0.002382783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 12a216?\nAnswer: 12a205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, z: 6, l: 1, c: 4, p: 2}. What is prob of picking 2 c and 1 g?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(2\/(-4))\/((-125)\/(-50)). Solve -3*i = -z*s + 2 - 0, 1 = 4*i + s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqqqqdqqqjmqmgjgj. Give prob of picking 2 j.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)\/a**(2\/7))\/(a**4\/a**0) assuming a is positive.\nAnswer: a**(-136\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3471*u. Let p(v) = -6515*v**2. Determine p(y(j)).\nAnswer: -78491684115*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)\/(r\/r**11))\/(r*r\/r**(-4\/5)*((r\/r**(-13))\/r)\/r) assuming r is positive.\nAnswer: r**(-101\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/11)\/((-80)\/((-114240)\/(-238)))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5050*r + 129403 + 27147 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsssssssffsfdfssfs. What is prob of sequence fff?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 36*o + 20. Let t be a(-4). Let c = -121 - t. Let b be 5\/(-2 + 9\/c). Solve 0 = -9*w + b*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -148.805 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*p**2*v**3 - 11*b*p**2*v - 907*b*v**2 + 2*b - 5*p**2*v**2 + 176*p**2*v wrt v?\nAnswer: 6*b*p**2*v - 1814*b - 10*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -185*j. Let c(k) = -84*k. Calculate c(i(a)).\nAnswer: 15540*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0091741 to 4 decimal places.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*w**4 + w + 3*w**3 + 2 as c + a*w + l*w**4 + h*w**2 + g*w**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(-437*h**2 - 160 + 160) in the form b*h + p + j*h**2 and give j.\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}