diff --git "a/data/dm_maths/full_data/1900_11255.jsonl" "b/data/dm_maths/full_data/1900_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1900_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is next in 4956, 39710, 134046, 317754, 620624, 1072446, 1703010?\nAnswer: 2542106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -755.5 - -756. Which is the biggest value? (a) -2 (b) 0.4 (c) -18 (d) -3 (e) t\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19751 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -25. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 114285039.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 - (5 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-18))\/(-1)*7\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87721999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 3\/2013743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 40 and -942447890602.\nAnswer: -942447890562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*a - 0*a + 17, -2*d = 6. Let m be a*(-3)\/6*-1. Let v = m + -1. Solve 3 = f - v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 18 = i + 8*k, 2*i + 3*k = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Let v be (2 + 1)*(-5)\/(-35). Which is greater: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((2\/65)\/((2\/(-40))\/(138\/(-552))))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37832, -37865, -37928, -38033, -38192, -38417, -38720, -39113?\nAnswer: -39608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -282?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrexexeexeerb. What is prob of picking 3 e?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172176 and 344352?\nAnswer: 344352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/120 - n**5\/5 + n**4\/2 - 5*n**3\/6 + 17*n**2. Let r be i(11). Suppose -r*h - 45 + 201 = 0. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 149, 495, 1167, 2273, 3921, 6219?\n\"Answer: 18*v**3 + v**2 - v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -692, -689, -686, -683?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 8 (c) -3 (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1040, -967, -894?\n\"Answer: 73*f - 1113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 14. Let p be a(0). Suppose 16 = -0*h - 2*h. Let t = h - p. What is the highest common divisor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -6.3, -2, 1\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + -0.15. Let a = -10.1 + 11.2. Let k = a + -1.6. What is the closest to -0.1 in h, k, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 386987256 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7 + 0*t - 4*t + 0*t + t. Let z be o(-3). What is the highest common factor of z and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 9:24 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8759 (b) 90 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 73 + 172 = -5*l, -5*h = 2*l - 252. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {q: 6, l: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - v + 5. Let u = -6 - -6. Let l be z(u). Suppose -g - 2*p = -5*g + 108, -l*p = 3*g - 68. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10\/7)*p\/p**29)\/(p*p\/p**32*p**2\/p) assuming p is positive.\nAnswer: p**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + sqrt(128) + 1)**2 + 1.\nAnswer: -48*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = r - 4*r + 27, r - 13 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(10\/(-3))\/1. Suppose 2 + z = 2*l. Suppose -3*g + l*g + 2*a - 22 = 0, -3*a + 36 = 5*g. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(-a - a + a) + 9 - 9 + 10*a + (99 - 91 - 55)*(-a + 2 - 2).\nAnswer: 55*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**2. Let l(v) = 40*v + 17 + 10 + 2*v + 6*v. Let d(i) = -7*i - 4. Let n(p) = -27*d(p) - 4*l(p). Give z(n(q)).\nAnswer: 63*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3803747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 55\/4897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1) + 7 + -5 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -7*q**6\/40 - 13*q**3 - 26*q**2 - 82*q. Let k(h) be the first derivative of p(h). What is the derivative of k(r) wrt r?\nAnswer: -63*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 278*n. Let b(k) = 8376*k - 4185*k - 4186*k. Calculate z(b(y)).\nAnswer: 1390*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 + 2*f + 3. Let p(s) = 5*s**2 + 3*s + 4. What is -6*p(h) + 7*x(h)?\nAnswer: -2*h**2 - 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 887 or 901?\nAnswer: 887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 20*c = 19*c - 2, -55 = 29*x + 5*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -3. Suppose b + 136 = m*v - 124, -3*b - 270 = -5*v. What is the remainder when v is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 196, 409, 632, 883, 1180, 1541, 1984?\n\"Answer: 3*s**3 - 13*s**2 + 231*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -16*g. Let p(u) = 15*u. Let w = 18168 - 18171. Calculate w*p(a) - 4*s(a).\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (1 + -2 - 2)) + (11 - 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6705622, -6705625, -6705628?\nAnswer: -6705631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.6 + -0.4. Let u = k + 4.0008. Round u to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2850 - 10446 = 1182*j + 28074 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m - 190 = 0. Let z(u) = -41*u + 1056. Calculate the remainder when z(23) is divided by m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a microgram in nanograms?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3363*167\nAnswer: 561621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*b - 1641 = -536 - 304 + 959 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 1055?\nAnswer: 1055.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Let v = 26 + -28. Let d be v + r - 1 - -2. Solve 2*w = -d*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnfhaatsnssnnf. Give prob of sequence fa.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297 + 1.5.\nAnswer: 298.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148285848 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -10100101000111?\nAnswer: 10100101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 3*d + 24, 915*s - 910*s - 3*d = 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000322989 to 7 decimal places.\nAnswer: 0.0000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -239, -43\/5, 4\/3, -3, -2, 13 in increasing order.\nAnswer: -239, -43\/5, -3, -2, 4\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225337469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*j - j. Suppose l - j - 4 = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let t(q) = -8*q - 2*q**2 - q + 9*q. Give t(w(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/30336340 and 117\/40.\nAnswer: 60672680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + 0*k**3 + 3*k**3 + (-7*k**2 - 2*k**2 - 4177 + 3*k + 4142)*(4 - 2*k - 4).\nAnswer: 17*k**3 - 6*k**2 + 70*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -44364 divided by -12\nAnswer: 3697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, a: 2, k: 1, j: 4, q: 4, f: 6}. What is prob of picking 2 a and 2 j?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxusmmbm. Give prob of picking 1 b, 1 u, and 1 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3403\/10 or 341?\nAnswer: 341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667 a factor of 42537200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = -g, -2*o - 8 = -3*g - 1. Suppose 2*x + 10 = -5*j, 2 + o = -3*j. Is x at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-2)*(-344)\/172. Solve -2*t + 2 = -2*r, 2*t - 5 = 3*r - x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52\/286 + 174\/11 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3369498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 2 - (-32)\/17. Let v(g) = 2*g**2 - 3*g - 9. Let p be v(-2). Put 4, -2, q, p in decreasing order.\nAnswer: p, 4, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 5*k**2 + 34*k + 18. Let p be c(9). Solve p*x + 2*x + 1 = v, -3*v = 4*x - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 1. Let y(k) = -4*k**2 - k + 4. Let n(i) = -3*t(i) + y(i). Let o be 0 + 0 + (-1 - (-4 - -2)). What is n(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*u = 348*u + j + 1, -u - 11 = 6*j + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 539.999999118 - 540. What is x rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15086574*c**3*f**4 - 138*c**3*f**2 - 4*c**3*f + 2*c*f**3 + 447*c*f**2 + c wrt f?\nAnswer: -362077776*c**3*f + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - t**2. Let d be k(0). Suppose d = 6*x + 8*x - 2324. List the prime factors of x.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -177, -181, -187, -195, -205, -217?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:10 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, q: 3, t: 5, g: 1}. Give prob of sequence tqag.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1710, 1820, 2004, 2262?\n\"Answer: 37*s**2 - s + 1674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 0 - (-3 + 365). Suppose b + 18 = -b. What is the remainder when w\/(-9) - (-3)\/b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2. Let j = -14 + 16. Let r(u) = u - j*u + 5*u. Give z(r(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 225*t + 109. Determine h(-112).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6760.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25 + 0.05. Let o be (-24)\/(-21)*4\/(-8). Let b = -5 + 3. What is the third smallest value in b, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**3 + 117332*d**2 - 61571552*d + 8151374224 = 0.\nAnswer: 266, 28801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.822932 rounded to 2 decimal places?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 11610.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.95 + 47.55. Which is the closest to 2? (a) 4\/5 (b) -0.056 (c) j (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 4\/(2 - 1). Let b be m\/4*(-3 + 5). Let a = 2 + -1.8. Sort 2\/9, a, b in decreasing order.\nAnswer: 2\/9, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 - -205. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3416744.\nAnswer: 2, 239, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*l - 7*l - 36*l)*(5*l - 4*l + 1 - 17*l) to the form t*l + m + w*l**2 and give t.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4611, 1 in ascending order.\nAnswer: -4611, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-3)\/(-3 + 12)). Let f = 11 + n. Calculate the remainder when 64 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037003 is divided by 345597.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3\/2, -5, -3\/8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 7*l + 7. Let i = 52 + -58. Let z(t) = -t**2 - 8*t - 8. What is i*z(p) - 7*m(p)?\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 8, 5, -1 in decreasing order.\nAnswer: 8, 5, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssds when four letters picked without replacement from sdddddsdsdddddd.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w**3 + 0*w)*(7 - 4 + 1) in the form k*w**3 + z*w**2 + x + f*w and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 720.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 12. What is the greatest common factor of y and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*n + 3*n + 32, -4*n + 2*w + 14 = 0. Let z(g) = 9 + n*g**2 + 2*g + g**3 + 6 - 7. What is z(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 1. Suppose -3*a + 1 = -x. Suppose -2*s - 150 = -a*s + 4*o, -2*s = o - 73. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*q**4*s - 2*q**3*s**2 + 266060*q**3*s - 11*q**2*s**2 + 97*q*s**2 - 72*q*s - 2*s wrt q?\nAnswer: -408*q*s - 12*s**2 + 1596360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 991*x**2 - 4596*x + 382457. What is i(-996)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1222 = 2*c, -5*c + 884 = r + 2*r. Suppose -3*y + r + 93 = 0. Calculate the highest common divisor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqfw when four letters picked without replacement from {w: 3, c: 2, q: 4, f: 2, o: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.039573939 to 3 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1382*y + 34. Let x be w(-5). Suppose 75*f - 59*f - x = 0. Is f a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -11, -2\/9 in increasing order.\nAnswer: -11, -3, -0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -228 or -6172\/27?\nAnswer: -6172\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llo when three letters picked without replacement from {l: 2, o: 2, g: 1, v: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6831 = -5*i, 5*i + 3*x - 808 = 6041. Is 57 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401663268 to the nearest integer?\nAnswer: 20042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Let g(a) = -6*a**2 - 5*a. Let v(z) = -13*z**2 - 9*z. Let o(p) = -5*g(p) + 3*v(p). Calculate o(b(s)).\nAnswer: -36*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 + 8*q + 22. Let l(h) = 4*h**2 + 12*h + 33. Let a(n) = 7*b(n) - 5*l(n). Is a(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64526 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g*y**4 + 6*g*y**2 + 43*g*y - g - 36965*y**4 + 152*y wrt y.\nAnswer: -96*g*y - 887160*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87146 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-48)\/(-18))*2\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 655967*0.5.\nAnswer: 327983.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 266409 and 32439.\nAnswer: 261880047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjwwjbwwwj. Give prob of picking 3 j.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 - 7*v. Let u(m) be the second derivative of -m + 0*m**2 + 8 + 1\/6*m**3. What is y(u(x))?\nAnswer: -5*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = -172*g + 567 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*j + j - n, 25 = -4*j - 5*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -724698986*a**2*w**3 - 24991773*w**3 - 8*w wrt a?\nAnswer: -1449397972*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 611 and 10?\nAnswer: 6110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b = -20*b + 3312. What is the tens digit of -1*(b + 5) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-299 + -3)*(-1)\/2. Suppose -5*s + 64 = 5*u - r, 5*s = -2*u + 74. Calculate the remainder when 93 is divided by u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 506*r**3 - 292*r**3 + 4*r.\nAnswer: -798*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3359314 + -48.4.\nAnswer: 3359265.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228056?\nAnswer: 2, 29, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152158248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 38 = -2*k + 130, 5*r = 3*k + 93. Suppose o - r = 13. Let p be (2 + o)\/((-9)\/6). Which is greater: -23 or p?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 52*p + 150 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/1)\/(5\/(-15)*33).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2. Let b be (4\/5)\/((250\/(-3125))\/((-1)\/5)). Let c(m) be the third derivative of 0*m**3 + 7\/4*m**4 + 12*m**b + 0*m + 0. Determine r(c(l)).\nAnswer: 3528*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 8*j**2 + 2. Let f be x(8). Suppose -f*p - 8 + 18 = 0, 2*m - 2*p + 4 = 0. Solve t = -m*t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6072889 centuries?\nAnswer: 60.72889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1969622*y. Let j(q) = -4*q. What is j(u(n))?\nAnswer: -7878488*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3498)\/(-1908) - (-215)\/(-60).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195667222?\nAnswer: 2, 719, 136069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(363) + -5.\nAnswer: -3 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 2*r + 22, r - 2*r = 3*t - 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 53\/7 (b) 6 (c) -0.26 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13a + 0?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from xeeeeeeeeeeeeee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -7*u**6\/180 + u**4\/24 + u**3 - 19. Let y(t) be the third derivative of l(t). Calculate y(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 67\/3 of a hour?\nAnswer: 80400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1583640.8437 + 38.\nAnswer: -1583602.8437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from torccuoroccctcuu. Give prob of sequence ourc.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 272*p - 4507. Calculate j(19).\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 41 + 83 - 2*w**3 as s*w**3 + i + u*w + z*w**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -71\/2 (b) -122 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 2*b. Let v be ((-462)\/(-70))\/((-10)\/(-50)). Let h(i) = -6*i**2 - 11*i. What is v*z(m) + 6*h(m)?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4414035254 + -5?\nAnswer: 4414035245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - -0.9. Let f = 0.6 + -0.3. What is the closest to -1 in f, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*18\/(360\/(-20))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11838118, 23676236, 35514354, 47352472?\n\"Answer: 11838118*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 100*h**2 + 54. Let o(r) = r**2 + 1. Let w(a) = -5*o(a) + z(a). Differentiate w(j) with respect to j.\nAnswer: 190*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2150.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/7 + 38*p**2\/7 - 156*p\/7 = 0.\nAnswer: 0, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16*l - 164. Suppose -5*m = -p + 3*p - 308, 3*p = 4*m - 228. Calculate the smallest common multiple of m and k(-11).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.56 + -141.56. Let u = -137 - n. Put u, -5, 0.2, 46 in descending order.\nAnswer: 46, 0.2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + l**2 - l + 6. Let y = 8 + -8. Let a be f(y). Suppose -h + a*h = 0. Solve 2*w + r = -1, -3*w - 3*r - 3 - 3 = h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(208) - (0 + sqrt(208) - sqrt(208))) + 3 - (sqrt(208) - (4 + sqrt(208) + 0))*5) + 1)**2.\nAnswer: 192*sqrt(13) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 183 = -2*g - z, -g = -3*z - 81. What is the highest common divisor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 1, -4, -202 in increasing order.\nAnswer: -202, -4, 1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**4\/4 - 4*p**3\/3 + 5*p**2 + 8*p + 6. Let f be c(-6). Calculate the highest common factor of 30 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 5 - (43 + -44)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 88020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*g**4 + 5*g**4 - 217*g**5 + 11*g**4 - 62*g**5 - 2*g**2 - 133*g wrt g?\nAnswer: -16740*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m + 178800 = 32*m. Round m to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -199*b**2 + 1543*b + 518. Differentiate f(w) wrt w.\nAnswer: -398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 6*b + 1. Suppose 0*p - 57 = 4*p - 5*u, -4*u = -4*p - 52. Give i(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 6*h - 1. Determine f(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b = 10*b - 7200. What is the greatest common divisor of b and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -636 divided by -3\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11.143998 months?\nAnswer: 0.009286665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h. Let g be d(-7). What is the highest common factor of 98 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**5\/60 - 2*u**4\/3 + 4*u**3\/3 + 6. Let d(j) be the third derivative of o(j). List the prime factors of d(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5 - 1 = -2*u, 0 = 3*u + 3*i. Put u, -4, 3 in decreasing order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 9:32 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -541476 divided by -2028.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5287?\nAnswer: 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20149799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 36 + 7 + -5 + -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 20*f**3 - f**2 + 6*f + 8. What is n(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407 - 66 - u + 0*u - 176 - 94.\nAnswer: -u - 743","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 17715?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**5 + 37*g**3 - 23*g + 599?\nAnswer: -80*g**3 + 222*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 476259859, 952519722, 1428779585, 1905039448?\nAnswer: 2381299311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*x - 1082*g**3 + g**2*x + 5*g**2 + 6*g*x + 9*x wrt g?\nAnswer: -6*x - 6492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0.1. Let n = -2 - -4. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/6)\/(6\/(-207)). What is the tens digit of (-88)\/(-10)*(-2645)\/o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppn when three letters picked without replacement from ppppnpppnbpnpnnpbpn.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x, -3*n - 20*x - 15 = -17*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*n = -210, -f - 69 + 287 = -5*n. What is the highest common divisor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**3 - 52*u + u**4 + u**2 + u**2 + u**4 + 1 + 51*u to the form b*u**2 + v*u**4 + p*u + i*u**3 + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 2)*(10*p - 2*p - 3*p)*(p - 3 + 4 + 0) to u*p**2 + y*p + a and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -20. Solve 0 = -5*h - m, -h + 7 = -6*n + n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**3 - 28*b**4 - 28*b**4 + 2*b + 3*b**2 + 55*b**4 - 4*b**2 as v*b**4 + q*b**2 + g*b + u + j*b**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432710320 is divided by 2339?\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8420562*u**3 - 9462117.\nAnswer: -25261686*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24417 = 5*x - 4842. Is 27 a factor of 6*(-3)\/48 + x\/(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 11, 21, 49, 101, 183, 301, 461?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 3*r**2 + 11*r + 65. Let m be k(-5). Find the common denominator of (13\/2)\/13*(-284)\/m and 55\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2296518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 465 + -332. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 8*a**2 - 3*a + 4. List the prime factors of z(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -167.\nAnswer: -167, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 3*w**2 + 5*w**2)*(3*w - 7*w + 3*w - 1) + 2*w**3 + 1 - 1.\nAnswer: w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 189. Let b = -152 - r. Suppose 0 = -0*j + 4*j - 56. Calculate the remainder when j is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 - -2\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from szssszzossoozsss.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11750 divided by 470\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-20)\/(-8)*4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-14\/3))**42\/(a**(-2\/23)\/(a*(a*a*(a**(-1\/22)*a)\/a*a*a)\/a)))**30 assuming a is positive.\nAnswer: a**(-1456965\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1172*j. Let f(d) = -3*d. Determine f(q(y)).\nAnswer: -3516*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1997879.230408.\nAnswer: -1997878.230408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1751 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.082836 and 0.2.\nAnswer: 1.282836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (21 + 0) - -3. Let a = -5 - l. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6489? (a) -3 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -20*c + 102. Let h(m) = 4*m - 20. Let d(p) = 3*g(p) + 14*h(p). Let i be d(-5). Let v = i + 69. Does 23 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -21, 5 in decreasing order.\nAnswer: 5, 4, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-4)\/8 - -4. Solve 6*k + 6 = t*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -893 - -898. What is the closest to 0.18 in -3, i, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3))**(-40)\/(h**5)**(-11))**(-48) assuming h is positive.\nAnswer: h**(-8400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 94758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 11*d - 2*u - 3720, -4*d + 5*u + 3714 = 0. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1998 + 3713. Suppose p + n = -0*j + 3*j, -3*j - 3*p + 1707 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*h**2*p**6 - 2*h**2*p - p**6 + p**3 + 20*p**2 + 5 wrt p?\nAnswer: -4080*h**2*p**3 - 120*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55052329, 55052326, 55052321, 55052314, 55052305?\n\"Answer: -j**2 + 55052330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*z + 2, -12*m = -13*m + 4*z - 4. Suppose 2238*n - 2247*n + 171 = m. What is the remainder when ((-4)\/(-10))\/(2\/180) is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f + 2. Let t be d(-6). Let l = 671 + -666. Suppose t = 5*k + l. Solve -25 = k*o - 8*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57.007725 + -57. Round t to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, x: 7, m: 1, v: 3, r: 2}. Give prob of sequence vm.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -90.5152662 + -402\nAnswer: -492.5152662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*l + 11*l + 15*l)*(0*l - l + 2*l + (2 - 2 - 2)*(-2*l - l + 4*l)) as j*l + g*l**2 + o and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 12.97. Let v = 0.17 - 0.07. Let z = v - 0.2. Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqkkkqqkkkk. Give prob of sequence qkk.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c**2 + 214*c. Let g(h) = -3*h**2 - 108*h. Let o(m) = -5*g(m) - 2*w(m). Let t(u) = -u**2. Determine o(t(d)).\nAnswer: -d**4 - 112*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -2*q + 3*q - 21, 13*i + 16*i - 24*i + 281 = 12*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2517965 to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 138927, 555700, 1250317, 2222778, 3473083, 5001232, 6807225?\n\"Answer: 138922*n**2 + 7*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.4359 bigger than 9\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -653.37440197 + 653.3204. Let z = -16 + 15.946. Let n = p - z. Round n to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 1\/2, -1\/149, -1700?\nAnswer: -1\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/((-4)\/4*2). Suppose 4*n = -k*q + 9*n - 298, -3*q + 4*n = 223. Let w = q + 127. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 19. Let b(k) = 4*k + 56. Let f(z) = -3*b(z) - 8*d(z). Let p be f(-5). Solve -p*y = -6*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 15*j**2 - 5*j - 112. Suppose 8*d - 10*d + 32 = -2*h, 5*h = 3*d - 52. Give g(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 64*z. Let i be p(0). Sort 1, i, 3, -6, 5 in decreasing order.\nAnswer: 5, 3, 1, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 8:15 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(6)\/sqrt(3))**2*5*6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375201 (base 9) in base 11?\nAnswer: 478815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0 - 2) + -8)*1. Suppose -4*u = -22*u - 180. Is u > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 793 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 21, -31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 1 + 385*y - 36*y**2 - 387*y.\nAnswer: -36*y**2 - 2*y - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178536.\nAnswer: 2, 3, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1001008.49 to the nearest one hundred.\nAnswer: -1001000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:33 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -386641715.9414?\nAnswer: -386641725.9414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 46 = 4*y + 81, 2*n = 5*y + 80. What is the remainder when 69 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17388131 to the nearest integer?\nAnswer: 4170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o = -153*o - 903*o + 1073 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 6*n**2 - 11*n - 39. Let b(w) = -3*w**2 + w + 78. Let r be b(5). Calculate t(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -109. Let d = 6.4 + -68.4. Let l = d + r. Sort l, -0.5, 0.3, -3\/2 in descending order.\nAnswer: l, 0.3, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*y - z - 8, 3*y - 9 = -5*z. Suppose 4*a - 144 = -2*j, j - 2*j - y*a + 69 = 0. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2\/9 + 11108528*p\/3 + 15424924290848 = 0?\nAnswer: -8331396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -13*j - 13. Let u(v) = -4*v**2 + 65*v. What is m(u(w))?\nAnswer: 52*w**2 - 845*w - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/4*5\/240*-4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9 and -99945.7802575.\nAnswer: -99946.6802575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/((-12)\/90). Solve 5*p + u = -2*o, -4*o + 4 = -5*p - 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.585 + -0.255. What is b rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 12*d**2 + 26*d + 14. What is s(10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -99*l**8\/56 + l**6\/30 + 641*l**4\/6 + 263*l + 8. What is the third derivative of n(x) wrt x?\nAnswer: -11880*x**3 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**4\/3 + 13*h**3\/2 + 18*h**2 - 2. Differentiate r(q) with respect to q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 99941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -874*d**6\/15 + 140*d**3\/3 + d**2 + 20*d. What is the second derivative of q(n) wrt n?\nAnswer: -20976*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -691 - -700. Which is the closest to 9? (a) t (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/10 - s**4\/4 + s**3\/3 + 10*s. Let a be b(4). Let p = 23 + -15. What is the highest common divisor of p and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1.97, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3558 = 1950*b + 9222 + 3527 + 22693 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*d - 180*d - 2840 = 0 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313447 is divided by 395?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + ((-104)\/(-20) + -6)\/((-8)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (1 - (-3 + 2))) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1668, 1676, 1694, 1728, 1784?\nAnswer: 1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 + 2 = 0. Let h(d) = d**3 + 16*d**2 - 35*d - 55. Let s be h(-13). Let n = s + -898. Sort n, -5, p in ascending order.\nAnswer: -5, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -1296\/5*a + 0 + 108\/5*a**3 - 3\/5*a**5 - 3*a**4 + 324\/5*a**2 = 0.\nAnswer: -6, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, e: 1, k: 2, a: 3, c: 3, j: 4}. Give prob of sequence qace.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 + 98. Suppose -3*d - k*n = -269, -d - 4*n + 99 = -0*d. Suppose 0 = -6*g + d + 13. What is the remainder when 109 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 105, 157?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74925546 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -39. Let i be ((-27)\/9)\/(n\/2). Let m be (2\/3)\/(8\/(-18)). Which is the third biggest value? (a) i (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280632442.\nAnswer: 2, 823, 778027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*q - 47 = 0, 178*h = 359*h - 186*h + 3*q + 31 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 17*n**2 + 40*n - 27. Let z be o(-14). Let y = -75 - -73. What is the nearest to y in -1\/8, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**3 + 7300*c**2 - 192498*c + 11095. Give b(-1851).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29809?\nAnswer: 13, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h + 1. Let i(r) = 56*r - 12. Let u(a) = 68*g(a) + 6*i(a). Calculate u(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00484368664 to 7 decimal places.\nAnswer: 0.0048437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 - 155.5. Let x = -0.5 + 0.61. Which is the third smallest value? (a) 2\/9 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, l: 2, m: 2, u: 2}. Give prob of sequence mm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 1, -54217, 0.6 in ascending order.\nAnswer: -54217, -9, 0.6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8)\/n**(-9\/2) assuming n is positive.\nAnswer: n**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4534.672 minus -6.88?\nAnswer: -4527.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 12*d. Let b(s) = -240*s**2 - 1008*s. What is b(v) - 84*n(v)?\nAnswer: -156*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 18*b + 12. Give k(14).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 5*q. Let p be l(4). Let j(t) = t**3 - 5*t**2 - 2*t - 5. Let i be j(6). Let d = i + -11. What is the highest common factor of d and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -5*x - 6. Suppose -l + x = l. Let w(s) = -2*s**3 + 4*s**2 - 3*s + 1. Let d be w(2). Put l, -1, d in increasing order.\nAnswer: d, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 4030.\nAnswer: 36270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -9*c + 21. Let p be n(2). Solve 20 = j + p*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.013 times -31474\nAnswer: 409.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f**(-1\/2)*(f\/(f\/(f*f**(-1\/2)*f)))**(-8) assuming f is positive.\nAnswer: f**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 30*x. Let g(a) be the third derivative of -a**4\/2 + 6*a**2 + 1. Let c(r) = 2*r. Let z(f) = 5*c(f) + g(f). What is w(z(s))?\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b + 6. Let l = -127 + 155. Let i be b - 271*l\/4. What is i rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c*c**14*((c*c**(4\/11)*c)\/c*c)\/c assuming c is positive.\nAnswer: c**(202\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1055*h + 1048. Calculate j(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - c + (-6 + c + 6)*(0 + 2 + 4) - 3*c - 2*c + 2*c)*(1494*c - 1494*c - 4*c**2).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11443 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162040407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239310415?\nAnswer: 5, 19, 941, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 11:00 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 6, g: 6, q: 4}. What is prob of sequence bq?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27186 + -26901. What is the highest common divisor of 2055 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222332312 (base 4) to base 16.\nAnswer: -6afb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3294\/(-61) - -67 - 1\/10*122\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -75. Suppose -5*m + 647 = -v, m - 3*v - 39 = s. What are the prime factors of m?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssrrsrsssssssssssr. What is prob of picking 2 r?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjw when three letters picked without replacement from {j: 10, p: 2, e: 3, w: 4}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t**3*t**6\/(t\/(t*t**(-3))))**(-42) assuming t is positive.\nAnswer: t**(-483\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/11503063?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:53 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 804, 1607, 2410?\n\"Answer: 803*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 29. List the prime factors of (-5 - -7)*j\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -140*s**5 - 228*s**4 + 180*s**3 + 164*s**2 + 24*s = 0.\nAnswer: -2, -3\/7, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.852 + 1.01. Let h = -70.842 - s. Let v = h - -70.929. What is v rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i**2 + 0 - 4 + 3 + 24*i**2. Let m be u(-1). Suppose 2*y = c - 1 - m, 124 = 4*c - 5*y. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 10. Let v(z) be the third derivative of z**4\/24 - z**3\/3 + 20*z**2. Determine v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5 - 83*f**4\/3 + 791*f**3\/3 - 939*f**2 + 702*f = 0.\nAnswer: 0, 1, 26\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16471, -65954, -148435, -263914, -412391, -593866, -808339?\nAnswer: -1055810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-27)\/k)**(-14\/9)\/((((k\/(k*k**(-37)\/k*k))\/k)\/k)\/k*k*k*k\/(k**(-1\/8)*k*k*k)))**(2\/57) assuming k is positive.\nAnswer: k**(679\/2052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20541 - -25348. Calculate the highest common factor of 133 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 11*v - 7. Let q be i(10). Solve l + 8 = 5*p, q*p + 8 = 2*l + 5*p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5777.37747 rounded to the nearest integer?\nAnswer: 5777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-5))\/(3\/(-10)). Let n = 0.68 - -0.32. Which is the smallest value? (a) x (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 28995*d**3 + 70073664*d**2 + 70044672*d.\nAnswer: 3*d*(d + 1)*(d + 4832)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150037\/2 + -120029687\/1600. Find the common denominator of -137\/1120 and w.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 - 2*t**2 - 8*t - 10. Let o be x(-2). Solve -o = 128*d - 117*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146663?\nAnswer: 11, 67, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 0, -2\/17, 2, 10, -114?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Let u(a) = 10*a - 1. Let y(b) = 12*b - 4. Let l(q) = -4*u(q) + 3*y(q). Let t(f) = 7. Let c(x) = -6*l(x) - 7*t(x). What is c(w(d))?\nAnswer: 24*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 7*s**2 - 4*s + 4. Let b be w(6). Let i = b - 4. Does 4 divide 3\/(((-45)\/i)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 470.7543119 to zero decimal places.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 25?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**16*m)**2*m**(1\/3)*m*m**(-2\/67)*m assuming m is positive.\nAnswer: m**(7297\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let c(j) = j - 6*j**2 - j + 2. Let h(a) = 820 - 408 - 413 + a**2. Let p(r) = 2*c(r) + 4*h(r). Give x(p(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -538 - -2130. Is 4 + (d - (-25)\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 1203?\nAnswer: 32481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 3*h**2 - 2*h**2)*(-4*h**3 - 2*h**3 + 5*h**3) + h**5 + 2 - 2 - h - h**5 + h.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 4*v**2 - 5*v + 5. Let g be o(-5). Suppose 0 = -g*k - 8*s + 3*s + 985, 0 = 3*s + 3. Calculate the highest common factor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68381670 is divided by 16985.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3551 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5711 = -8*v - 39. Suppose v = -47*l + 48*l. What are the prime factors of l?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5*n**2 + 3*n + 2*n**2 + 22*n - 5*n**2 - 2*n**3 as o*n**3 + k*n**2 + a*n + z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/146 - 2779\/657. Let w = 1696 + -16897\/10. What is the common denominator of c and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (15 + 1 + -2 - (-101 + 106)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 450.6773ml?\nAnswer: 0.4506773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) - (sqrt(11) - (sqrt(11)*-1 + -3)) - sqrt(11)).\nAnswer: -10*sqrt(11) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38, 172, 306, 440, 574, 708?\n\"Answer: 134*l - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from covvvovj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-21 - (14 + -20) - -25)) + -15?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*p - 3 = 70*p. Suppose -4*b = b + 2*g + 30, 2*b - g = -21. Let y(c) = 2*c + 3. Let w(j) = -7*j - 8. Calculate b*y(u) + p*w(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/(-152))\/(2*(-2)\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -4, 2, 14 in increasing order.\nAnswer: -4, 1, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/3, 1, 14.433, 3 in increasing order.\nAnswer: -2, -2\/3, 1, 3, 14.433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.92 - -15.8097. Let k = j + 0.105. What is k rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q**9*q)\/q*q)\/(q**5\/q))\/(q**(1\/7)\/((q\/q**(2\/37))\/q)))**28 assuming q is positive.\nAnswer: q**(7048\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4)*(-6)\/45*10)\/2. Let i be 3 + (1 - -1)\/(-2). Let t(x) = -x**2 - 2*x - 2. Let g be t(-2). Put g, 3, i, o in decreasing order.\nAnswer: 3, i, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4791447?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110011000 - -110110?\nAnswer: 10000111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 785307.9l?\nAnswer: 785307900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - (30 + -97) - (6 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163962, -327913, -491864, -655815, -819766?\nAnswer: -983717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 + 16990748*u + 33981480 = 0. What is u?\nAnswer: -4247685, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:24 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 58.68.\nAnswer: 58.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1851497 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 0.07211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (749\/46438)\/((-6)\/10 + (-1)\/(-10))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5)\/k)\/(k*k*k*(k*k\/k**(2\/15))\/k)*(k**1)**40 assuming k is positive.\nAnswer: k**(524\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y**5 + 5820*y**4 - 217155*y**3 - 2179550*y**2 + 5938620*y - 1513800 = 0. Calculate y.\nAnswer: -10, 2\/7, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 3*l**8\/2240 - l**7\/840 + 2*l**4\/3 + 7*l. Let a(v) be the third derivative of g(v). Find the third derivative of a(m) wrt m.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4671990 divided by 76590?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 890 = -910 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40721181*d**3 - 2281855*d + 5 wrt d.\nAnswer: 244327086*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5*sqrt(171) + -4)*6)**2.\nAnswer: -4320*sqrt(19) + 154475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 38?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3917 is divided by 300.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 10:21 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100011000111 - 10010?\nAnswer: 1011100010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 442 + 122?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 14, f: 1}. Give prob of picking 1 g and 1 f.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*i**2 + 5 - 9*i**2 + 17*i**2.\nAnswer: 8*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -36. Suppose -202 + 962 = 4*h. Let u = h - 82. What is the highest common factor of d and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 467*g - 16747. Let m be y(36). Solve 0 = 4*b - 3*a - 100 + m, 30 = 2*b - 4*a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -75.329 (b) 0.3 (c) -0.132 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2022247, -2022400, -2022543, -2022670, -2022775?\nAnswer: -2022852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i = 21*i - 180. Let f(o) = -o**3 - 29*o**2 + 33*o + 96. Let r be f(i). Which is the nearest to 1? (a) 0.3 (b) 1\/5 (c) r (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 16 (b) 3 (c) 2\/23 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2019, 4, -12, -4, 1, -3 in decreasing order.\nAnswer: 2019, 4, 1, 0, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41881537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 124, 0, -5, 4, -1 in ascending order.\nAnswer: -5, -1, 0, 4, 14, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 50, 65, 82, 101?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 4*h**7\/105 + 7*h**5\/60 + 3*h**2. What is the third derivative of x(u) wrt u?\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 244? (a) -62 (b) 5\/2 (c) -3 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -10. Suppose 3 = -c - i. What is the tens digit of 6\/(-15) - 82\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 508 - 46. Let n = -15 + m. Let p = 350 - n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 1 - (0 + 1))*-3. Put -5, 0, -29, p in descending order.\nAnswer: p, 0, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 8*c + 4. Let j be (47\/(-5) - -1) + (-70)\/(-175). Let w be (2\/(-44))\/(-3*(-2)\/j). Is w less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 80450506382?\nAnswer: -80450506382.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1875\/1369 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.38 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = 5*m. Is -5\/4 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98 - 2*q**3 - 196 + 5*q**2 + 100 + (0 + 35 + 32)*(2*q**3 - q**3 + q**3) as d*q**2 + i*q + k + t*q**3 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(20\/15)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + -2 + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -0.06?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158 by 5685.\nAnswer: 158\/5685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 24*x = 3*t - 11, 0 = -4*x - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5990495*a**3 - 5123965*a**2 + 1.\nAnswer: 35942970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/93078 and 5\/1746.\nAnswer: 9028566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipii when four letters picked without replacement from ipiiiipipip.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1028907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71 * 5.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*5.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2)*a))\/(a**1*a*a) assuming a is positive.\nAnswer: 1\/a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181604612 divided by 8062.\nAnswer: -22526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5 + 27*a**4 - 223*a**3 + 621*a**2 - 676*a + 252 = 0. What is a?\nAnswer: 1, 2, 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2.1 (c) 278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**3*q + 386*p**2*q - p*q + 8235*p wrt p.\nAnswer: 18*p*q + 772*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (6 + -1 - 1)) + 9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11554 + -11552. Solve 2*a + 3 - 8 = -t, -7 = -a - p*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 119 (b) -0.3 (c) 0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3, f: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94742 is divided by 384?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 10*k + 4*k)*((k + 1 - 1)*(0*k - k - k) - 2*k**2 - 4*k**2 + 3*k**2) - 3*k**3 + 0*k**3 + k**3 + (4*k**2 - 2*k**2 - k**2)*(6*k - 3*k + k).\nAnswer: 47*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2\/3 - 25*v\/3 + 48 = 0.\nAnswer: 9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -15) + (15 + -14 - (-56 - 1))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7660938 divided by 48182.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 34. Let y = -25 - -36. Let z = f - y. Which is the second biggest value? (a) 2\/15 (b) z (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1207.9225 - -97197.0615. Let h = -98421.9839828 + s. Let y = 17 + h. What is y rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3) + sqrt(15)\/((-4*sqrt(5) - sqrt(5)) + sqrt(5))).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/26*-13)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 3, -4, 414, 4 in increasing order.\nAnswer: -4, 2, 3, 4, 10, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c - 1. Let t(u) = -38*u - 49. Give 6*p(h) - t(h).\nAnswer: 14*h + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {b: 3, m: 13}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Suppose f*t - o = 3, t - o - o - 9 = 0. Is (5\/3)\/(t\/(-21)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/((-71)\/(18886\/456))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 755 - 231. Does 31 divide k\/(-10)*10\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2370692 <= -2370705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28146, -28157, -28170, -28185, -28202, -28221, -28242?\nAnswer: -28265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420176 to the power of 1\/2, to the nearest integer?\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*u**2 - 237*u**2 + 127*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 0*j**3 - j + 0*j**2 + 1\/105*j**6 + 1\/42*j**4 - 1\/35*j**5 + 0. Find a, given that k(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((15\/6)\/((-5)\/10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-15)\/(-2)) - 1818\/45. Let g = 41 + u. Solve 2*x - 5 = -g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + n**2 - 3)*(-4*n + 3 + 9 - 7).\nAnswer: -4*n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m**3 - 9*m**2 + m - 5. Let r(n) = 4*n**3 - 4*n**2 + n - 2. Let k = 4082 - 4084. Give k*b(t) + 5*r(t).\nAnswer: 2*t**3 - 2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 18 - 36*v + 10 + 103*v + 110*v. Is 21 a factor of a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.0919 <= 2\/1789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3006578 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 - 13*n + 4. Let r = 23 + -23. Let h(y) = 2*y**3 - 33 + 36 - 9*y + r*y**3. Suppose 35 = z + 4*z. Give z*h(o) - 5*i(o).\nAnswer: -o**3 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75481346.\nAnswer: 2, 37740673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 24. Suppose -u + 760 = 19*u. What is the remainder when u is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*o + 3520*o**4 - 11*o - 10*o - 8*o + o**4 + 5*o**4 - 3*o**4 + (-2*o**2 + 2*o - 2*o)*(7 - 7 + 2*o**2).\nAnswer: 3519*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 23384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -10*q**3\/3 - 465*q**2\/2 + 11322*q - 12304. Differentiate r(k) with respect to k.\nAnswer: -20*k - 465","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 12:01 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r - 4. Let t be h(3). Let c be (-78)\/(-60) - t\/10. Let k be (-10)\/(-2)*38\/285. Sort k, c, -3 in decreasing order.\nAnswer: k, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*u + 26, -1 = 9*z - 11*z + 5*u. Let n(v) = v**3 + v. Let o(b) = -3*b**3 - 10*b**2 + 2*b + 7. Let l(g) = 5*n(g) + o(g). Is l(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s**2 + 1 - 1)*(1 + 2*s - 1) + 3*s**3 + 4 - 4 - 3*s - s**3 + 3*s)*(2 + 6 - 17*s - 7).\nAnswer: 34*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -277*l**2\/2 - 649423*l + 32823\/2.\nAnswer: -(l + 4689)*(277*l - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*m - 6*m + 12 + 121*m**3 + 1757 - 97*m**3 - 50*m wrt m?\nAnswer: 72*m**2 - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = t. Let u be 22*3*10\/6. Calculate the highest common factor of u and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**3\/7 + 59928*r**2\/7 - 299280432*r\/7 = 0.\nAnswer: 0, 9988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 789345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3)*-3 + -1.\nAnswer: -3*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 20, 47, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(sqrt(56) + sqrt(224)) - sqrt(4536)*-2)\/(1*(sqrt(16)\/sqrt(2) - sqrt(8)) - (sqrt(88)*-1)\/sqrt(11)))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3*m, -5*m - 155*f - 137*f = -296*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 8*p + 10. Let n be f(9). Let w be 6*(2\/6 - n). Let k be 38\/(-9) + 12\/54. Is w != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -5 - -9) + -36 - -108.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21137177\/111 - -190425. Let s = -21 - -83\/4. Which is the nearest to 4? (a) -2\/5 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 50 + 2 = 0. Suppose o - 13 = -4*y, -65*o + 23 = -62*o + 4*y. Solve -o*t + 2*d + 6 = -h, 2*d + 14 = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -437, -659, -881?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 0*o - f = 11, -2*f = 2*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 10*k - 1268. Let v be b(-31). Suppose -4*s + 2 = d, 2*s + 0*s = 0. Solve -v*f + d = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10256582*t - 13945915.\nAnswer: 10256582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256590966 to the nearest integer?\nAnswer: 16018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -148\/5 (b) -0.4 (c) 27 (d) -0.085\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 41 - 19 = 0. Suppose -4*m = 2*h, -4*h + 9*m = 14*m + n. Sort -1, h, -14, 4 in descending order.\nAnswer: 4, -1, h, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366116247.\nAnswer: 3, 7, 1937123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837 (base 15) to base 12.\nAnswer: 10a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/13)*t)\/t)\/(t*t*t**10\/t)*(t\/(t**(-1)\/t*t*t)*t)**(-4))**(2\/11) assuming t is positive.\nAnswer: t**(-496\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 49 - 149 = 5*a, -5*a = -4*v + 264. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-3) + -1)\/((-9)\/6). Sort x, -7, -4.\nAnswer: -7, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -8*a**5\/5 + 10*a + 1. Differentiate t(y) with respect to y.\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2947?\nAnswer: 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000115254 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s. Let z(x) = -179 - 2*x + 179. What is w(z(y))?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -510*c**2 + c - 1306*c**2 + 1815*c**2 - 23. Calculate o(-10).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 16*k + 305. Let j be u(27). Let v(b) = b**3 - 7*b**2 - 4*b - 10. What is v(j)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*n - 4, -5 = 4*b - 21. Let g = -308 + 312. Suppose n*r - 4*p + 194 = 490, g*p - 361 = -5*r. What are the prime factors of r?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.5 (b) -0.14 (c) 3\/5 (d) -2643\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 - 1. Let k be z(-1). Calculate the highest common factor of 35 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -923 + 922. Sort -2, 29, x, -4 in descending order.\nAnswer: 29, x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.797 - -22.198. Let q = 0.099 + y. Let k = q - 10.5097. Round k to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4623 divided by -201?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v - s = 82, 5*s = 3*v - 70. Let p(o) = 12*o - 5. Let x be p(2). Suppose x*h + 26 = v*h. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2279111 or 2279110?\nAnswer: 2279110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 18*m**2 + 7*m. Let r(w) = 73*w - 3. Let y(c) = 24*c - 1. Let l(s) = r(s) - 3*y(s). Give p(l(t)).\nAnswer: 18*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 7:11 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-630)\/(-75) - 8 - ((-3)\/(-1))\/120.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + sqrt(10) + (sqrt(10) - (sqrt(10) + sqrt(10)*2)))\/sqrt(2))**2*4 - (0 + -5*sqrt(30)\/sqrt(6)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1225 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(4\/9)*v)\/v)\/v**(-9)*(v**(2\/17)*v*v)\/(v\/(v\/v**(-5))) assuming v is positive.\nAnswer: v**(2687\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 77?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1612815 by -5.\nAnswer: 322563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -0.8, -2, -7.1, -5?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 + -4. Let i = b + -0.6. Sort i, -1, 5 in descending order.\nAnswer: 5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403138966 to the power of 1\/2, to the nearest integer?\nAnswer: 20078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b + 12*b - 652 - 415 + 71 - 20*b to the form r*b + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7\/6)*v*v**(-9)*(v\/(v**13*v)*v*v)\/v**(-3\/5) assuming v is positive.\nAnswer: v**(-587\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 5:13 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1365554.01 to the nearest 1000.\nAnswer: -1366000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-7 - -2) - -34. Suppose -o = -4*s + 2*w, -5*w + 45 = 5*s - 10. Suppose 0 = -v - a + 1758, 4*v - s*a - 7040 = -6*a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.06.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427056.\nAnswer: 2, 3, 7, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose m*l + 3 = -l. Let x = 1 - l. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(7\/4))\/u)\/u**7 assuming u is positive.\nAnswer: u**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -26)*(-6)\/(-8). Suppose -5*x - 4*w = 46, 0*x - 3*w - r = x. Let f = 1 - x. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3 plus 4049.61643497?\nAnswer: 4044.31643497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t = 3. Let h be 51\/18 - t\/(-6). Suppose -2*w + 35 = 5*b, -h*b + 2*b = -3*w + 27. 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: Divide -23 by -5.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -41. Put 5, 4, 29, h in decreasing order.\nAnswer: 29, 5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k**2 - 795*k - 1588. Determine b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -2547*t + 2540*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + 755. List the prime factors of c.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 62 + (-9 - 4) + -17.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 9951*u + 130 - 133 in the form s*u + j and give s.\nAnswer: -9951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -1.216. What is x rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/112)\/(1*124\/(-32)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3953630 is divided by 1317861.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 - -2. Let h = t + 0. Let k = -5.1 - -1.1. Which is the third biggest value? (a) k (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 + 2*o**4 - o**4)*((4 + 0 - 2)*(4 - 5 + 0) - 1 - 5 + 2 - 1 - 2 + 1).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-14))\/((-9)\/63). Let l(t) = 2*t**2 - 5*t - 6. Let n be l(-6). Calculate the greatest common factor of n and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**3 + 4*u**2 - u - 16. Let v be z(-5). Let y = v + 538. Solve 0 = 3*s - 2*s - y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3922 - 0?\nAnswer: 3922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -279\/72917 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 359 + -4?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2142*m**2*r**3 - 3*m**2*r - 1152*m**2 - m with respect to r.\nAnswer: -6426*m**2*r**2 - 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 44940?\nAnswer: 44940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 15. Suppose 7*y - 2*y - 128 = -m*p, 4*p + y = 182. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 13*d + 392 = 0. Calculate the remainder when d is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 - 2)*(98 - 198 + 368*g - 92*g + 100) to h + o*g and give o.\nAnswer: -1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2747 + 2763. Let r = 4 + -7. Calculate the remainder when f is divided by (-6)\/((-4)\/(-18)*r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 j when three letters picked without replacement from jiaaxajgjgigegj.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*g + 167*g = -404. Suppose -2*q - 3*v + 17 = 0, -3*q + 3*v = 38 - g. Solve 0*m = 4*y - 4*m + q, -5 = -m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b**2 - 45*b + 1. Let i(a) = -7*a**3 - 8*a**2 - 182*a + 4. Give -i(p) + 4*x(p).\nAnswer: 11*p**3 + 12*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllflflllfl. Give prob of sequence llf.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 take away 24718540.4?\nAnswer: -24718540.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -25, -50, -85, -130?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.31 - 15.51. Let a = g - -7.8. Round a to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 380 - 375.808. Let g = u + -0.192. Which is the second biggest value? (a) -4 (b) 3.7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 - 3 = d, -4*x = 2*d. Which is the third biggest value? (a) x (b) 1.02 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 7. Let x(b) = 4*b + 11. Determine 5*f(q) - 4*x(q).\nAnswer: -q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 15*o**2 - 38*o - 17. Determine f(17).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15227 or -18888?\nAnswer: -18888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 4*d - 3. Let z be q(-5). Suppose z*r = 3*r - 16. Let n(k) = -2*k - 6. Let f be n(-5). What is the highest common factor of r and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 214*q**2 + 2*q - 1. Let u be c(1). Suppose 0 = 3*z + z - 3*f + u, z + f = -45. Let a = 95 + z. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -128 + 89 + -23 + -36.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/12*3*35\/(-70).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 + -11.5. Is 1 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - v**2 - 4*v + 118. Let i(t) = 10*t**3 + 5*t**2 + 21*t - 594. Calculate -11*d(s) - 2*i(s).\nAnswer: 2*s**3 + s**2 + 2*s - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:53 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q. Let m(d) be the second derivative of -d**3\/6 + 3*d**2 + 14*d. Is m(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2591, 2584, 2411, 2078, 1591, 956, 179, -734?\n\"Answer: q**3 - 89*q**2 + 253*q + 2426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -440 + 640. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2935.5 + -2935. Which is the second biggest value? (a) k (b) -0.3 (c) 0.1 (d) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1641523*u**5 - 130*u + 6393.\nAnswer: -32830460*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*g - 355 = -2071 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1582 (base 13) to base 14\nAnswer: 120c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 - 160.8. Which is the fourth biggest value? (a) n (b) 1 (c) -0.4 (d) 35\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*((3*j + 0*j + 0*j)*(6 - 6 - 3*j) + j**2 + 0*j + 0*j) + 3*j**2 + 2 - 2 to the form z + y*j**2 + k*j and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27696 divided by -3462.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3579.2 and 15852822?\nAnswer: 15849242.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygqygaamgtgygmmgyaga. Give prob of sequence gygy.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62165 and 0.02.\nAnswer: -1243.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -182883353280936.\nAnswer: -182883353280941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 42, 120, 240, 402?\n\"Answer: 21*q**2 + 15*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = 1. Let q(x) = -5*x. List the prime factors of q(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, -0.2, -186 in ascending order.\nAnswer: -186, -176, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*u + 19*u + 51*u - 24*u in the form j + a*u and give a.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, y: 2, a: 13}. Give prob of picking 3 t and 1 a.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2288 is divided by 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 135419 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(2*p**2 + 5*p**2 - 3*p**2)*(-3 - 1 + 3) to x + a*p + t*p**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 473*n = -477*n - 36, 81 = 5*t - 4*n. Let z(c) = -4*c + 7. Let x(b) = -6*b + 0 + 9 + 1. What is t*x(o) - 8*z(o)?\nAnswer: 2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2439815 is divided by 2439725?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-9) + (-12095)\/(-45)?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11610)\/(-5676))\/((-130)\/(-143)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4490 or 93?\nAnswer: -4490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*q + 9 = -0*t - 5*q - 18 + 4, -q = 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/8))**(-4\/15)*(d**1)**27 assuming d is positive.\nAnswer: d**(271\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -22*n**3 - 2*n**2 + n**2 + n**2. Let a be x(-1). Suppose 3*k - 2*u = a, -2*u - 5 = -k + u. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((64\/50)\/8)\/(1 + 7\/(-5)). Let i = 53\/2 - 27. What is the third smallest value in i, -14, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 0*k + 4*r + 32, 9 = 3*k + 2*r. Suppose k*w = -4*x - 10, 2*w = -3*x + 4*x + 9. Let y be 7 + -3 + -5 - w. Does -13\/3 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19535*w**3 + 238*w - 19533*w**3 + w**2 + 9 - 8 + w**4 in the form k + p*w**3 + h*w + i*w**2 + n*w**4 and give h.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((840\/77)\/10)\/((-357)\/(-24871))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g*g**(-1\/10)))*(g**(25\/2)\/g*g)\/g)\/(g\/(g**12*g)*g*g**(-8\/3)*g))**(-42) assuming g is positive.\nAnswer: g**(-5474\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h. Let b be k(5). Solve 3*o + b = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + ((-975)\/2520*14)\/(2\/(-8)*2)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 152749788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -57977, -1?\nAnswer: -57977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -1\/20*z**5 + 0 + 0*z**2 + 1\/6*z**4 - 1\/6*z**3 + 6*z. Let j(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 511505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 302573089 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = 0, 5*d = 3*o - 4 + 13. Suppose -5*s + 20 = -5*y, d*s + y = -0*s + 4. What is the tens digit of (s + 1)\/(((-9)\/(-327))\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -19. Let v = -0.5 + 2.5. Sort -1, v, y.\nAnswer: -1, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128692 and 14.\nAnswer: 900844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0894 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -8, 1814 in ascending order.\nAnswer: -8, 2, 4, 1814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qirtzzt. Give prob of sequence zt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206298 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00101480939 rounded to 7 dps?\nAnswer: 0.0010148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1084? (a) -15 (b) -0.4 (c) 4 (d) 2\/5 (e) -5 (f) 0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 388474 or 388471?\nAnswer: 388471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -109\/13, 4\/7, 119.7, 0.1?\nAnswer: -109\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84540 and 27?\nAnswer: 760860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 8*g**2 + 63*g - 40. Let l be f(-13). Let d(s) = s**3 + 12*s**2 - 25*s + 47. Let z be d(l). Solve u = -z*a - 0*u - 12, 4*a = 3*u - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -1\/3, -3\/74?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 4:57 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4821 - -1.997521.\nAnswer: 4822.997521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x + 10. Let m(t) = t**2 + 8*t - 27. Let l be m(-10). Let o be k(l). Let -4 - 4*w**2 - o*w + 3 + 33*w = 0. What is w?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-227999)\/(-3) + 5\/15. Round l to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 14061?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/27)\/(b\/b**(-3)))\/((b*b**15*b)\/b*b*b\/(b\/(b\/(b\/(b*b\/((b*b**(-2\/37)*b)\/b)))))*b*b))**(-17) assuming b is positive.\nAnswer: b**(407252\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 - -145. List the prime factors of r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 125.2 and 385.\nAnswer: 48202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1673 divide 27743359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 450306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) - (12\/20 - 1). Let z(a) be the second derivative of -1\/16*a**4 - 3\/80*a**5 - 9*a + 0*a**3 + r + 0*a**2. Factor z(n).\nAnswer: -3*n**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/4 - 25417*n**2\/4 - 19065*n = 0.\nAnswer: -3, 0, 25420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1061 - -1071. What is the smallest common multiple of 1078 and b?\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 957 = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 28. Let b(w) = 2*w - 3. Determine b(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/9)\/(((-53303398)\/1308)\/757)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, d: 4, v: 2}. Give prob of picking 3 k.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5609*z + 2367*z + 207*z to h*z + w and give h.\nAnswer: 8183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120.9 - -120.5. What is the smallest value in -6, z, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 76 = -2*l. Let d = l - -15. Let p(v) = v**3 + 7*v**2 + 5*v - 4. What is the tens digit of p(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Suppose 2*b - 3*h = y*b - 11, 3*b - 33 = h. What is the smallest common multiple of b and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40680?\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1427, 1407, 1385, 1361, 1335, 1307, 1277?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 > -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**4 - 64*m**3 - 116*m**2 + 256*m - 70 = 0. What is m?\nAnswer: -7, -5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -26975*u**2 + 9932*u. Let b(k) = -5392*k**2 + 1986*k. Let d(w) = -26*b(w) + 5*i(w). What is the second derivative of d(v) wrt v?\nAnswer: 10634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, -4, -83, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 5. Suppose -8 = h*q + 4*j, -2 = -3*j - 5. Let w(i) = -3*i**3 + i**2. Give w(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 11*f - 47. Let b(j) = -2*j. Let r(k) = -2*b(k) - m(k). Let c be r(-11). What is the closest to -2\/5 in c, 4\/11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -5. Let c = -17 + k. Suppose c = 3*x - x - 6. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 15*t - 13. Let f(c) = c**2 + 14*c + 8. Let w(j) = 3*f(j) + 2*h(j). Calculate w(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/(-329) - (-3 + 245\/50)\/(35\/60).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5 = 1. Let p = 19 + d. What is the remainder when p is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -305.2 - -305. Let u = 0.18 + 0.02. Which is the closest to k? (a) u (b) 1\/11 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (1 - (2 - 1)). Suppose 2*v + h*l = 0, -v - 3*l - 21 = -5*v. Solve 0 = v*k + 4 + 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6))**(-40) assuming z is positive.\nAnswer: z**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 2*a**7\/105 - a**6\/10 + a**5\/15 + a**4\/2 - 4*a**3\/3 - 4*a**2. Factor p(r).\nAnswer: 4*(r - 2)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137661614 a multiple of 1552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*d + 8, 8*d - 4*d + 6 = 2*i. Let q = -3 - -8. Suppose -4*k + q = 17. Is d less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/12)\/(5\/(-60)*4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -646, 2\/3, 2.4?\nAnswer: -646","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4453*j - 901. Is i(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 126\/(-28)*-2*10\/45. Suppose s + f = 10 + 10, s + u*f = 21. Let h = 48 + 9. What is the greatest common factor of h and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-5)\/(-5)*-2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 1 - 1)*(0 - 2 + 1)*(6922 + 4758 + 13628 + 1615 - 1170) in the form m + v*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 25*g**2 + 206*g + 205. Let q be s(-1). Factor q*h + 8\/7 + 126*h**2.\nAnswer: 2*(21*h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 80 = -4*w, -100 = z + 2*w + 4. Let k(c) = 2*c**2 - 4*c. What is the lowest common multiple of k(4) and (z\/84)\/(2\/(-14))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-11)*19107\/10422)\/(((-5)\/(-56))\/5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c - 3*c**2 + 5*c**2 + 5*c**2.\nAnswer: 7*c**2 - 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 40\/45) + 164\/(-492)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 z when three letters picked without replacement from {p: 1, c: 2, h: 1, f: 1, z: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + q + 9556 = 9574, -26 = 2*g + 3*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.5073813 to zero dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 15) in base 2?\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 799482778 + 4?\nAnswer: 799482782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - -10.98. Let l = 7 - x. What is the biggest value in -2, l, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 85*u**2 - 14*u - 4. Let t(l) = 127*l**2 - 19*l - 6. Determine 7*r(b) - 5*t(b).\nAnswer: -40*b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 773*o**6\/6 + 76*o**3\/3 + o + 317. Find the third derivative of l(s) wrt s.\nAnswer: 46380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 370, 3156, 10898, 26080, 51186, 88700, 141106?\n\"Answer: 414*m**3 - 6*m**2 - 94*m + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4614 and -71\/3336.\nAnswer: 2565384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 8*x. Suppose x = 5*n + 20 - 140. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 + 32 + 127 + -24?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5236674530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -2\/3 (c) 381\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/12 - (-36)\/(-270)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*h = 110, -3 + 28 = 5*h. Suppose -5*q + 67 = 4*j - 5, -a = -5*j + 2*q. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/29380 and -3\/937?\nAnswer: 27529060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - 2.95. Let i = -3 - z. Let u = 12 - 17. Put 0.3, i, u in decreasing order.\nAnswer: 0.3, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105498839?\nAnswer: 29, 3637891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 529264 and 4275?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 5\/1)*-1. Let q be 2\/(-1) + 3 + 3. Let f(j) = -3 - j + 1 + q - 3. Give f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/40)\/((-1)\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/((-3456)\/(-582111760)) - (2 + (-56)\/27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 23 = 16*q. Let u = -0.1 - 2.9. What is the fourth biggest value in -0.3, 1\/2, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2771187509 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 8.7932942871.\nAnswer: -6.2067057129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2684.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 347, 346, 343, 338, 331, 322?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (58\/(-8))\/(6\/(-12984)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 4)*66\/(-110). Solve h*k = -3*y + 3, -y + 4*k = 3*y - 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881473 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -5, 6939 in descending order.\nAnswer: 6939, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 10:03 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-35) - 39\/(-56)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 15*h**2 + 22*h - 92. Determine x(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/96 and -35\/7038.\nAnswer: 112608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l - 3. Suppose -3*n + 7 = 4*w, -w + 5*n = -10 + 37. Let m(q) = 20*q + 7. Determine w*m(d) - 5*o(d).\nAnswer: 10*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474316 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, q: 2, e: 4}. What is prob of sequence ss?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -7*x - 18*x. Solve x = -10*k + 8*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150 + 11?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99319736 to the nearest integer?\nAnswer: 9966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 11*r - 7. Suppose 3*i + 3 + 21 = 0. What is the remainder when n(i) is divided by 1\/(-3) - (-38)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) -3\/5 (c) -5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-78)*((-24)\/112*2 - 1198\/14).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-7 - (-4 - -2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*n - 18, -16 = -2*r - 2*r - 4*n. Suppose r*x = -x. Factor 0*u**2 + 3\/5*u**5 - 6\/5*u**4 + 0*u + x + 3\/5*u**3.\nAnswer: 3*u**3*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1368 (b) -1 (c) -2\/13 (d) 1\/17 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 6. Let q(o) = 2*o. Let f be q(1). Suppose -5*h - 5*l - 50 = -10*h, -f*l + 4 = h. Let g = -3 + h. What is k(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*(1 + 39). Let p be (2 + -1)\/((-4)\/w). Suppose 13 = p*q - 12. What is the third biggest value in q, -4, 5\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(77) - (sqrt(77) + (sqrt(77) + (sqrt(77) - sqrt(77)*-1)*-2 - sqrt(77)))))\/(3*2*sqrt(1100)) + -3.\nAnswer: -3 - sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + 47*s**2 + 80*s - 531. What is v(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34688862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 11597500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*(-6)\/8*82\/123.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 19, 30, 45, 64?\n\"Answer: 2*x**2 + x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q - 2. Let o(h) = -h - 1. Let b(n) = 6*o(n) + z(n). Let f be b(10). Let j(m) = 0 - 1 - m - f. Calculate j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4397 + -4395. Let x(q) be the third derivative of 24*q**t - 1\/40*q**6 + 0*q + 0 + 0*q**4 + 3\/10*q**5 - 16*q**3. Suppose x(m) = 0. What is m?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t + 8. Let i be 10\/(-3)*(-3)\/t. Suppose -3*j + 5*n + 17 = 0, -i*n = 3*j - 10 - 57. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*k + 111*k - 223*k as r*k + m and give r.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 25 (b) -4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11832*n**3*v**2 - 19530*n**3 wrt v.\nAnswer: 23664*n**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5919 - -6.5996968429?\nAnswer: -5912.4003031571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -745*z**2 + 7*z - 135. Let w(j) = 372*j**2 - 4*j + 67. Let y(p) = 3*l(p) + 5*w(p). What is the second derivative of y(h) wrt h?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 + 2*k**2 + 4*k + 7. What is s(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t - 0*t - 22. Suppose -b = 2*r - 19, -t*r + 5*b = -5*r + 46. Suppose -150 = -r*k + 347. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8870194 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c - 25. Suppose 0 = v + 4, 2*n + 4 = -c*v + 272. Calculate the remainder when n is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 112, 115?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -d - 3, -q - 8 = -0*q + 2*d. Find the second derivative of -2 + 4 + q*z + 3*z**3 - 2 wrt z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 10. Let x be l(-6). Let f(q) = 2*q**2 - q. Let a be f(1). Sort 3, x, a in decreasing order.\nAnswer: 3, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23637926*r**4 - 26*r**2 - 35470*r + 1 wrt r?\nAnswer: 567310224*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779775\/9 + (-236)\/(-1062) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + (-5 - -7))\/6. Let v = 15.21 + -15. Let l = 0.09 + v. Which is the closest to -1? (a) l (b) h (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 4*m**2 - m + 4. Let w be 1 + 4 + 0 + -2. Suppose -w = -j + 13. Suppose -n = 3*n + j. Determine s(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(300))\/sqrt(6) + sqrt(162)*-1 - (sqrt(4) - (sqrt(144)\/sqrt(4))\/sqrt(9))\/(sqrt(6)\/sqrt(3)*-5).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.89 - -0.035. Let d = -1 + q. Let f = 0.07722 + d. Round f to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -3*y + 40, 3*y - 118 = -5*s - 128 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3.4907*-5\nAnswer: -17.4535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 + g**5 - 4*g**5 + (1 - 4*g**4 - 1)*(-5*g + 3*g + g).\nAnswer: 5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 33. Let t = -2 + 4. Let s = 6 + t. Solve -p = -2*q + 1 - s, -12 = 3*p + f*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231458*y + 3*n = 231470*y + 753, 0 = 2*y + 2*n + 138 for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159.14 - 159. Let y = 2958 - 2958.1411. Let d = t + y. Round d to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 188*d - 18 - 27 - 24.\nAnswer: 188*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2107812622 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: -2e2 (base 15) to base 2\nAnswer: -1010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 5 (c) 135 (d) 3\/7 (e) -5 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5493*i**3*w - 2*i + 8*w - 150 wrt i.\nAnswer: -32958*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to -564\/2093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -2*q - 292. Suppose -q*u - 161 + 863 = 0. What is the smallest common multiple of 15 and u?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -22, -42, -66, -94, -126?\n\"Answer: -2*o**2 - 10*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2 = 5*p, 20 = 5*p - 5*t + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 18*x**2. Let l(b) be the third derivative of 11*b**4\/12 - 4*b**2 + 5*b. Calculate p(l(m)).\nAnswer: 8712*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88*h**5 + 135*h**4 - 3595*h + 24.\nAnswer: -1760*h**3 + 1620*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 33, 42, 45, 36, 9, -42?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*v = -25, -m + 5 = -2476*v + 2475*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 - 217 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -23.5. Round t to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvm when three letters picked without replacement from {b: 2, v: 9, m: 7}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.027 and -0.3.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53990972 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298 + -295. Let n(c) = -1. Let k(y) = -3*y**3 - 4*y + 5. Let v(z) = k(z) + 5*n(z). Let u(m) = -2*m**3 - 3*m. Determine l*v(p) - 4*u(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*d - 39*d, 6866 = 2*g + 3*d. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 6. Let y be d(-3). Solve y*a + 6 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -9 + 7 - 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j - 5*j = 104 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 5:58 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-847)*14\/(-4)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 0)*9\/(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2745 - -2744.6. Which is the closest to -0.1? (a) 1\/34 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 - -0.16.\nAnswer: -38.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0 (b) -1777 (c) -1\/4 (d) -3\/2 (e) -5 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.885*-4\nAnswer: 7.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v**12*v)\/v))\/v**(1\/26))**(2\/5))**29 assuming v is positive.\nAnswer: v**(-8323\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216952 or -216965?\nAnswer: -216965","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oub when three letters picked without replacement from uubbxovovduvobovuvvv?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3728236 divided by -1864118?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -3\/4, 1, -2400, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.2. Let l = -0.07 - -5.27. Let h = -3.2 + l. What is the third biggest value in h, -1\/5, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let x(m) = -9*m**2 - 6*m - 1. Determine g(x(n)).\nAnswer: 9*n**2 + 6*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -737 divided by 11?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/128743 and 24\/4153.\nAnswer: 128743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 589618 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/5, -5, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 24 - 319*a - 223*a + 88 + 198*a.\nAnswer: -344*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.19? (a) -5 (b) 0.5 (c) 6985\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-2 + 6 + 4 - -2)) + -10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(54)\/sqrt(36))\/(sqrt(192) - sqrt(192)*1 - sqrt(192)) - -4*-3*sqrt(200)*-4).\nAnswer: -3 + 7679*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 583774 or 583773?\nAnswer: 583774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374, -685, -956, -1181, -1354, -1469, -1520, -1501?\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112930 is divided by 2618.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893152220 a multiple of 1283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 559 (c) -0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1197 and -192611.\nAnswer: 230555367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**5\/20 + l**4 + 5*l**3 - 21*l**2\/2 + 7*l. Let t be y(14). What is the highest common divisor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 120749123 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.15, -3, -5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5*p - 6*p + 52 + 215 - 28 + 8*p.\nAnswer: -3*p + 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - 81\/(18\/(-2)). Let m(z) = 3*z - 5 - c*z - 2 + 0*z + 7*z. Determine m(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/14)\/((-2)\/100). Suppose -2*k = k - y. Calculate the remainder when k is divided by (-32)\/24 - -1*(-62)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n. Let k be 7 - (n + -1) - 1. Let r = k + 0. What is the smallest common multiple of 3 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14226554*q**5 + 2*q**3 + 16584656*q**2?\nAnswer: -853593240*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d - 41*d + 91 = 5*s, 3*s = -6*d + 81 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 1091232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-27)\/t*t**(-13)\/t*t**7*t*(t*t**25)\/t*t*t)**(-6) assuming t is positive.\nAnswer: t**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -112669716 divided by 6\nAnswer: -18778286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(15)\/(sqrt(147) + sqrt(147) + sqrt(147)*2).\nAnswer: sqrt(5)\/28 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -220239, -220155, -220071, -219987?\n\"Answer: 84*c - 220323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 710540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k**7*k)))**(-11))**(1\/22))**(3\/20) assuming k is positive.\nAnswer: k**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001085 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 193401847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(6)*6*1.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -550 + 126*y + 548 + 23*y + (2 + 0 - 3)*(-3*y + 0*y + 4*y) as k*y + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 43 = n - 164, z + 819 = 4*n. Does 41 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/10 - 5*p**4\/12 - 19*p**3 + 382*p**2 - 5757*p. Differentiate o(w) with respect to w.\nAnswer: 6*w**2 - 10*w - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 1. Let y(n) = 7*n. Let w(z) = -6*l(z) + y(z). Let o be w(13). Solve -1 = -2*r + o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w + 15548 = 153*w + 11945 + 7663 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1464, -2907, -4350, -5793, -7236, -8679?\nAnswer: -10122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 + 5204*t\/9 - 5206\/9.\nAnswer: 2*(t - 1)*(t + 2603)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27.009 in -6\/301, 2\/11, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7705 is divided by 4895?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5044835 - 5044835 + 17*f**2.\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434845399 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**3 - 5*c**2 - 10*c - 9. Determine w(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2518374 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -2. Let l be ((-6)\/(-10))\/((-24)\/(-15)). Let x(g) = 2*g - 8. Let z be x(6). Which is the third smallest value? (a) h (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + 6*(0 + sqrt(72)) + -2 + sqrt(72) + 1*sqrt(72) + sqrt(72))**2.\nAnswer: -1296*sqrt(2) + 11736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 7:27 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 16 = -y, -3*y - 16 = -2*m. Suppose -4*n - 3*r + 8 = -7, 0 = 5*n + m*r - 17. Let g(q) = -q**2 + 3*q + 4. Let o be g(n). Solve -o*w + 10 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 1:48 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24954*q + 15 - 24955*q - 24960*q + 6 + 14 + 74868*q.\nAnswer: -q + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -38. Suppose 4*q + q = y. Calculate the highest common divisor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3334 + 3343. What is the remainder when 7306 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 375594356 by 93898589.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6221.1574 to the nearest ten.\nAnswer: 6220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21483 divided by 1385.\nAnswer: -21483\/1385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/8 + (0 - 3). Let t be 4\/(-5) - (-2)\/(-10). Put t, x, 1 in ascending order.\nAnswer: t, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 20*x - 19*x - 4 + 2*x**2 - x**2 + 0*x**2. Let c(z) = z**2 - 5*z + 4. Let t be c(4). Give i(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138288.\nAnswer: 2, 3, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 5*q + 3*q + (53 - 24 + 45)*(-q + 4*q + 0*q))*(-2*q**3 - q**3 + 2*q**3) in the form y*q**2 + n + a*q + j*q**3 + u*q**4 and give u.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + (-19)\/(-9) + -2. Let p = 0.4 + 1.6. Which is the third smallest value? (a) -3 (b) t (c) p (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 + 145 = 5*x, -5*x = 3*i + 23. Solve 64\/3*k - 32\/3*k**2 + 64\/3 - 32\/3*k**3 + 4\/3*k**i + 4\/3*k**5 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3*(sqrt(363) + 0))**2 + -1*(-3 + sqrt(363)) + 0)*4.\nAnswer: -44*sqrt(3) + 13080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4706 and 6893566?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48106*p + 48068*p = -570 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 659544.6s to minutes.\nAnswer: 10992.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 34623?\nAnswer: -3461d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 183940*b**3 - 551790*b**2 - 551780*b - 183925.\nAnswer: -5*(b + 1)**3*(b + 36785)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -8056?\nAnswer: 8037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**3 + 112 - 112.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 2, u: 1, q: 1}. Give prob of sequence uq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36037458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p - 1. Let c be b(1). Solve -4 = -c*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*t + 20 + 8, -1870*l + 3*t = -1873*l - 2*t + 11 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z**3 + 5*z**2 + 5*z + 250. Let g(s) = 14*s**3 + 8*s**2 + 8*s + 375. Determine 5*g(m) - 8*o(m).\nAnswer: -2*m**3 - 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) - 4\/(-225). Is 1 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/100 and 59\/72?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29071867, 29071868, 29071869, 29071870, 29071871, 29071872?\nAnswer: 29071873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331493045 to the nearest integer?\nAnswer: 18207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 6) in base 15?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1231322001?\nAnswer: 1231322010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**4\/12 + 13*i**3\/6 - 26*i. Let n be v(11). Differentiate -15*j + 19*j + 18*j - n + 17 wrt j.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 763828 divided by 148.\nAnswer: 5161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5265.728 micrometers to nanometers.\nAnswer: 5265728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 33*w**2 - 271*w - 12. Calculate the remainder when 651 is divided by s(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n**2 - 11*n - 15. Let a = -138 + 132. Let x = 38 + -27. Let g(h) = -5*h**2 - 6*h - 8. Determine a*k(i) + x*g(i).\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 - 5.07009?\nAnswer: -6.97009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5242*p. Let r(w) = 3*w**2. Determine g(r(a)).\nAnswer: 15726*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-5))\/((-201)\/335))\/(2\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2*x**2 + 3)*(5*x - 4*x + 0*x) - 6*x**3 + 5*x**3 - 8*x**3)*(-x**2 + 2 + x**2 - 2*x + 2*x**2).\nAnswer: -14*x**5 + 14*x**4 - 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) 182\/3 (c) 0.2 (d) -0.3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7935?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12314 - -6304. Round x to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 33461, 1, -5 in descending order.\nAnswer: 33461, 1, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 10. Let z(i) = -11. Let k(o) = 5. Suppose 0 = -2*q + 9*q + 42. Let h(a) = q*z(a) - 13*k(a). Let d = 181 + -187. What is d*h(t) + b(t)?\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k - 16. Let f(u) = 6*u - 14. Let j(h) = 6*h - 15. Let x(i) = -7*f(i) + 6*j(i). What is 2*m(v) + 5*x(v)?\nAnswer: -6*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -3, -4 in ascending order.\nAnswer: -99, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/100 and 603\/134 - 1635\/380.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -872360 and -872490 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*w**5 + 3*f*w**3 + 2*f*w + 833*f - 6*w**5 + 5*w wrt w?\nAnswer: -40*f*w**3 + 18*f*w - 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676 a factor of 1025036448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 312*(-59)\/6372*-6\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybnbbbbdnn. Give prob of picking 1 y and 1 b.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-5)\/s)*s)\/(s**4*s))\/(s*s\/(s*s**(-3\/5)))**(-1\/9) assuming s is positive.\nAnswer: s**(143\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 49. Let m = 3.92 + 0.08. Sort l, m, 0.1.\nAnswer: 0.1, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -347 divided by -253006?\nAnswer: 347\/253006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 2*p**2 + 3*p + 1. Let i be t(3). Let b(y) = i + 0*y**2 + 0 + 22*y**3 + 0*y**2 - 2*y**2. Is b(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7994997*0.218\nAnswer: 1742909.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -8. Let o be 0\/(z + 0 + 0). Sort o, 1, -1 in descending order.\nAnswer: 1, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1bc83 + 7?\nAnswer: -1bc7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/10 - (-14)\/35. What is m rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2810413*n*q + 218929*n + q**2 - 18 with respect to q.\nAnswer: 2810413*n + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 11. Determine j(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, l: 2, h: 4, b: 1, t: 3, i: 3}. Give prob of sequence ippt.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477 and 4452?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**3 + 54*g**2*m - 2*g*m + 177*m wrt g?\nAnswer: -6*g**2 + 108*g*m - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*h + 2*w, h + w + 8 = 3*h. Put 0, 1, 5, h in descending order.\nAnswer: 5, h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*a + 1. Let v = -47\/90 - -3\/10. Let n = -0.1 - -0.6. Put v, n, a in ascending order.\nAnswer: a, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295 + 292. Let f = -1\/24 + -29\/72. Let z = 5.5 - 5. What is the biggest value in z, f, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*k, -48090 = v + 3*k - 262709. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.64 rounded to one dp?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, y: 1, h: 6, g: 4, r: 1}. What is prob of picking 2 g and 1 h?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 11573?\nAnswer: 11573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -5 (b) -7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2097*j**4 + 1334 with respect to j.\nAnswer: 8388*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -4, 186\/7, -47, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k - 4. Let i be j(3). Let d(v) = 3*v**3 - 7*v + 6 - 2*v**3 - 5*v**2 + 0*v. Let z be d(6). Sort i, 3, z in decreasing order.\nAnswer: i, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*f = 7*r + 30, -r = -3*f - 12. Let o = -733 - -733. Put 2, o, r in decreasing order.\nAnswer: 2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12315 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**3 + 264392*u**2 - u - 12206835?\nAnswer: 3*u**2 + 528784*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/1103 + 40859\/13236. Let k = -1343\/24 + 401\/8. What is the common denominator of x and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i + 1. Let d(g) = -g**3 + 5*g**2 - 8*g - 5. Let l(c) = -d(c) - 4*m(c). Let w be l(8). Which is smaller: 38 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 + 1 + -10 + 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 0 + 35\/12*r**4 + 19*r + 0*r**3 - 2*r**2. Differentiate y(h) wrt h.\nAnswer: 70*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7747 by 5.\nAnswer: 7747\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 4*b**2 - 2*b + 4. Let k(g) = 16*g**2 + 1. Let o be k(-1). Let z(l) = l**3 - 16*l**2 - 18*l + 13. Let m be z(o). Determine i(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*f**2 - 48506*f + 8820.\nAnswer: -2*(f + 2205)*(11*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**3\/6 - 7*o**2 + 4*o. Let s be w(7). Let t = 9 + s. Solve 3*u - 5*u = -t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144358004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 94?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11111000?\nAnswer: -11111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*a + 14 = 60*a. Let k be 6\/(-42) + 0 - (-3036)\/a. Round k to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62787 is divided by 343?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2 = l, -4*q + 5 = -98608*l + 98605*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*q**4 - q**3 + 538503*q**2 + 2*q + 4675729.\nAnswer: 72*q**2 - 6*q + 1077006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -10) + 27 + -41\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8907\/20 + -445. Find the common denominator of -47\/12 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 77082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 272 + -257. Suppose 12 = 2*x - 4*f, -8*f + 3*f - p = -x. Solve x = -2*h + 7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**4 + 180*t**3 - 175*t**2 = 0. What is t?\nAnswer: 0, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310749 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: 5, w: 11}. What is prob of picking 2 o and 1 w?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 - 6*r. Let z = 9 - 16. Let w(l) = 3*l**2 - 7*l. Let u(h) = z*s(h) + 6*w(h). Factor u(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(27))\/((sqrt(48)\/sqrt(3))\/sqrt(2)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19143 * 1279\nAnswer: 24483897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-333)\/(-1665))\/(39\/(-30))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -21, -3\/4, -11\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/4 + 11*h**3\/3 + 6*h**2 + 24*h + 3. Let w be i(-10). What is the units digit of w\/(-10) - 928\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -9*w - 6*v + 33, -2*v = w - 12. Let h(s) be the second derivative of 0 - 1\/2*s**3 + 10*s + 0*s**w. Let z(q) = -3*q**2. Calculate h(z(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/24)\/(2\/4)*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 70 - 105. What is the remainder when (-2)\/4*(-3 + a) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r**2. Let d(x) = 5*x - 39 + 0 + 9 - 39. What is z(d(m))?\nAnswer: -175*m**2 + 4830*m - 33327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32c58 - a0?\nAnswer: 32b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -147, -125, -87, -27, 61, 183?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 15) to base 3.\nAnswer: -22100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 1, d: 11, y: 2}. What is prob of sequence jdr?\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 103459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*d**3*y**2 - 1680*d**3*y wrt y?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 23 + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 5*x - 11 = 0, 4*o + 5*x + 3 = -0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1212 and 1693366.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1069 - -546. Let m = 496.9 + k. Let c = m + 24. What is c rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 239*a + 238*a - 156)*(-5*a + 5*a + a).\nAnswer: -a**2 - 113*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 9*b - 14 + 13*b.\nAnswer: 22*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.4 (c) -4 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 2*f + 7. Let v(i) = 14*i**2 + 6*i + 20. Let l = 25 + -31. Give l*v(y) + 17*g(y).\nAnswer: y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*g + 2*d - 15, d = -5*g + 31. Suppose -g*y = -5*y + 2*y. Which is smaller: y or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1538 - 678. Suppose -z = 12*o - 17*o. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 626331 divided by -169.\nAnswer: -626331\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 27 + 33. Suppose 19*x - u*x = 0. Solve x = g + 4*r - r + 18, -r = -3*g - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - p + 254*p**3 - 125*p**3 - 102*p**3.\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 424043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, s: 2, f: 3, n: 2}. Give prob of sequence aan.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.718378nm to centimeters.\nAnswer: 0.0000005718378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*j + 73*j + 11*j + j to k + q*j and give q.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38373705 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136386 + 136398. Suppose 3*d - w - 24 = 36, 40 = 2*d - 5*w. Solve 17*j - m*j = d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 4218?\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a**2 + 19*a - 16. Is f(-9) a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(384)*6 - sqrt(384)) + sqrt(384)))\/(5*sqrt(96)\/(sqrt(12)*-2)).\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + 0.528090387?\nAnswer: 0.498090387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350938827.\nAnswer: 3, 521, 74843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 9 + (1 - 3). Find the common denominator of ((-114)\/z)\/(90\/(-36)) and -99\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 13*r + 3. Let b(s) = -4*s - 1. Suppose -4*u - 8 = -0*u. Determine u*m(w) - 7*b(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*c + 70728 = -156*c. Suppose 126*t + c = 128*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-52 - (-5535)\/90)?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928820117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 97, 379, 855, 1531, 2413, 3507, 4819?\n\"Answer: p**3 + 91*p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -12*g + 7. Let z(h) = 4*h - 2. Let o(t) = -2*y(t) - 7*z(t). Let q(j) be the first derivative of -j**2\/2 + 35. What is q(o(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13223153\/1043 - -12678. Let t = -63626\/3129 + w. Find the common denominator of (-8)\/105*(1 - 9\/(-1)) and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmqvmvmvmqv. What is prob of picking 4 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21713642 to the power of 1\/2, to the nearest integer?\nAnswer: 4660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -67*a + 7827. Determine f(111).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, h: 1, q: 5, a: 2, m: 2}. Give prob of sequence ajq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-188)\/4794*3\/(-2)*1608\/201\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -311 + 313. Solve -4*l + 5*c = 18 - 5, -26 = -j*l - 4*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55778*m**4 - 1690040*m**3 - 17893964*m**2 - 77144760*m - 116220258 = 0.\nAnswer: -11, -693\/167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.9 - 0.1. Let i = 0.68 - -0.32. Let g = i - 5. Which is the closest to -1\/6? (a) 0.4 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14179 is divided by 14176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2312655113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/131036751 and 77\/196506.\nAnswer: 786220506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3000*o + 7500. Let t(r) = -2*r + 4. Give i(h) - 1875*t(h).\nAnswer: 750*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1))**29\/(a**(3\/4)*a\/(a*a\/a**4)))**(-50) assuming a is positive.\nAnswer: a**(375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, -2\/9, 124237 in decreasing order.\nAnswer: 124237, -2\/9, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/5))\/d**(-4\/17) assuming d is positive.\nAnswer: d**(139\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 935*-36\nAnswer: -33660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11907*w**3 - 17391*w**3 - 16320*w**3.\nAnswer: -45618*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + 61. What is the common denominator of (-262)\/12 - ((-70)\/f - 4) and 53\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241482 by 6.\nAnswer: -40247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-72)\/(-30)*(-12 - -2). Let f = -22 - l. Solve -f*x + 12 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let i(p) = -161*p**2. Calculate v(i(l)).\nAnswer: -161*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 660886 plus 6?\nAnswer: 660892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -2.4. Let w = f + 2. Let j = w + -2. What is the second biggest value in j, -5, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**3*s)**1\/(s**3)**(-35) assuming s is positive.\nAnswer: s**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from mdjdnjdndydjjddjmjj?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -61. Suppose q = u - 443 + 137. Let c be (-6)\/(-8) - u\/(-72). Calculate the greatest common divisor of c and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 + t**3 - 2*t**3 - t**3 - 2*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -1\/20*q**5 + 0*q - 1\/24*q**4 + 92\/3*q**3 - 1\/120*q**6 + 0 - 21*q**2. What is the tens digit of v(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2*1)\/(5\/(-2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.006 and -0.007?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**2 + 3*y + 3. Let b(x) = -16*x**2 + 10*x + 10. Suppose -50 = -2*t - 3*t. Let g(n) = t*u(n) - 3*b(n). Let h(i) = 4*i. What is g(h(j))?\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14845952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*q = -42, 0 = 2*r - 2*q - 20 + 6 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89339721 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -571423*t**3\/3 + 39*t**2 + 105*t. Let w be r(-7). Round w to the nearest one hundred thousand.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 400*t - 776. Let u be l(2). Solve 127*r = 131*r + u for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/8 equal to -12\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*p - 209*p - 425*p**2 + 100*p - 383*p**2 - 2*p**6 + 631*p**4 wrt p.\nAnswer: -240*p**3 + 15144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 1, a: 4, f: 1, j: 1}. What is prob of picking 2 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4461962224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111 - -1?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + (sqrt(242)*1 - sqrt(242)) + sqrt(242)*-1 + 3 + 0)**2 + 2.\nAnswer: -154*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -16. Suppose -4*c = r - 4. Let m = c - -9. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -262912 bigger than -262941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2 - 6506*i - 13020 = 0.\nAnswer: -2, 3255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 5, 1, 2 in decreasing order.\nAnswer: 5, 2, 1, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10, -58.82, 1532?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 234\/(-24) - -10 - (57\/36 - 2). Let i = 0 + 0. What is the fourth smallest value in y, 0.4, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.87 - -0.87. What is the nearest to -0.3 in -0.4, 1\/6, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**2 - 447*j**2 + 6411*j**2.\nAnswer: 5950*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 32, 3 in descending order.\nAnswer: 32, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkbk when four letters picked without replacement from {c: 7, b: 1, w: 4, k: 2}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -333 and 407360?\nAnswer: 407693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*v - 4051, -8096 = -4*v - 3*l - l. What are the prime factors of v?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 401, -162, -715, -1252, -1767?\n\"Answer: v**3 - v**2 - 567*v + 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197308114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruadaaqauauaataaaata. What is prob of sequence urd?\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 749*k - 735*k + 8, -k = 13*x - 63 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (1 - (-9 + 1 + 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**3 + 125*f**2 + 560*f - 2940 = 0.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 o when three letters picked without replacement from oonnonoonnnnnnnn.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(28\/57)*70\/105\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.3 (c) 309 (d) -65\/6 (e) -3 (f) -0.227\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + 534 - 534. Let l(f) be the first derivative of -f**4\/6 + f - 1. Let s(c) be the first derivative of l(c). What is j(s(a))?\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26112 is divided by 491?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(847) - (-1 + sqrt(847))) + 4*(sqrt(847) - 2*sqrt(847) - sqrt(847)))**2 + (sqrt(49) - (-6*sqrt(49)*-1 + sqrt(49)))\/((sqrt(77)*2)\/sqrt(11)).\nAnswer: -883*sqrt(7) + 54233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 1 + 2*k + 1\/2*k**2 - 1\/3*k**3. Find a, given that d(a) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1666324100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -15\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5 - 476*r**4 - 15740*r**3 - 94564*r**2 - 192192*r - 112896 = 0. What is r?\nAnswer: -56, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10.79264 minutes?\nAnswer: 647.5584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 12*a**2 + 11*a - 2. Let h be ((-3)\/(-3)*11)\/1. Let t be p(h). Let n = t - -6. Let s(d) = d**3 - 4*d**2 + 2*d - 5. Calculate s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7983939 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336 minus 582230?\nAnswer: -580894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/12 + 1\/4. What is the nearest to 0.1 in t, -4, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 6 + (-3 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4132, -4120, -4108, -4102, -4108, -4132?\nAnswer: -4180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 8) + -2 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 3244472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20133 (base 5) in base 10?\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o + 1. Let t be w(1). Let z be (2 - 5)\/(t\/(-2)). Let j = -15.2 + 15. What is the biggest value in z, j, 3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476494909?\nAnswer: 11, 617, 70207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 482397 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 2. Let a(c) = -221*c**2 + 119*c + 238. Calculate 3*a(x) - 357*i(x).\nAnswer: -663*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 28385.69 grams?\nAnswer: 28385690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (7 - (-4 - -14))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2*y**2 + 9262*g**2 - g*y**2 - 6022*g*y - 10*g + 5*y + 1 wrt y?\nAnswer: -4*g**2*y - 2*g*y - 6022*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14459 times -0.5?\nAnswer: 7229.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:55 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b**2*c**2 + 7*b**2*d**3 - 3*b*c*d**2 + b*d**3 + 3*b - 10*c**2 wrt b.\nAnswer: -18*c**2 + 14*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2587387 equal to -2587387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53503*h**2*l**5 + 7*h**2*l + 14*h**2 - 3*l + 3 wrt l.\nAnswer: 1070060*h**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80738*j*s + 71742*s with respect to j.\nAnswer: 80738*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 20 = 0, 2*r + 1 = -5*w + 2*w. Solve 1 = -4*x - w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3867*s**5*u**2 + 2*s**4*u**2 - 4289*s*u**2 wrt s?\nAnswer: 77340*s**3*u**2 + 24*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 70509104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164 divided by 27670.\nAnswer: -82\/13835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3\/8, -4, 2\/19, -1\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*w**2 + 31*w**2 - 2*w**2 as t*w + u + p*w**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**5 - 4*x**4 - 3*x**3 + 8*x**2 - 2*x. Let j(f) = f**5 - 5*f**4 - 3*f**3 + 8*f**2 - f. Let o(t) = 3*h(t) - 2*j(t). Let o(w) = 0. Calculate w.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/11 + 5548*q**2\/11 - 859618*q\/11 - 3527368\/11 = 0. What is q?\nAnswer: -4, 169, 2609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54671707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/2)\/(((-95)\/10)\/(-19)). Suppose 2*v = 2*o - 3*v, 0 = 5*o - s*v. Which is bigger: 14\/13 or o?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 586 = 3*y, 3*y + 110 = -4*z + 3*z. Let j = -110 - z. Let o be (-81)\/(-18) + j\/4 + -1. Solve 4 = o*q + 3*x, -3*q + 5*x = 10 + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, -61, -238, -583, -1150, -1993?\n\"Answer: -9*l**3 - 3*l**2 + 9*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187798901 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6351.76*-0.8\nAnswer: 5081.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 936 and 3048?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1345 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1132 >= -19223\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 11*r - 12 + 20 to u + z*r and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = z + 3*z, 4*k + z - 8 = 0. Which is the nearest to -1? (a) k (b) 2\/7 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -3, -23, -5 in decreasing order.\nAnswer: 3, -2, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 142*a*i**2*o + 5*a*i**2 + 55*i**2*o - 2*i*o + 1166 wrt o?\nAnswer: 142*a*i**2 + 55*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.56 - -0.55. Which is the biggest value? (a) 1\/8 (b) -4 (c) 3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 169, 270, 387, 526, 693?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 - t - 1. Let s be g(-1). What is the units digit of 33\/1 - 3\/(-7 - s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:14 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 16*o**2. Let m(j) = 5 - 27*j - 12*j - 5 + 27*j. Let w(t) = -7*t. Let q(a) = -3*m(a) + 5*w(a). Calculate q(v(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 - 73*p**3 - 633 + 73*p**3 + 388*p**4 wrt p?\nAnswer: 1552*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -498.7 and -329.\nAnswer: 164072.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4 = -24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5480 is divided by 2490.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 13*r**2 - 70*r - 284. Let n be a(-9). Solve -n*d - 10*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**6\/40 - 311*h**5\/20 - 24335*h**4\/8 - 24025*h**3\/2 - 6*h**2 - 7*h. Solve n(k) = 0 for k.\nAnswer: -155, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -383700*j**3 - 3*j**2 + 1287430?\nAnswer: -1151100*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.09 and -78.4.\nAnswer: -87.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Suppose b = 2*f - 6*f - 48. Let z be (f\/4)\/((-1)\/15). Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257641*r**2 + 128816*r**2 + 128821*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)*l**(-2\/3)*l*l)**10 assuming l is positive.\nAnswer: l**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/3)*t*t*t**(-2\/21)*t)\/(t\/(t*t**0*t*t))**(-20))\/((t**1)**42)**(-4\/9) assuming t is positive.\nAnswer: t**(-359\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012313 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 314873616.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**4 + 2*x**3 - 9*x**2 - 2*x + 2. Let h(l) = 2*l**4 - 7*l**3 + 20*l**2 + 4*l - 5. Let n(m) = 4*h(m) + 10*j(m). Factor n(c).\nAnswer: -2*c*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8258 and 4.\nAnswer: 16516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/330 + (-67)\/(-95).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -210 in -14, 1, -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102118 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 g(s) = 6580*s - 440861. Calculate g(67).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 1143231056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 4:27 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -2*k - 2*a, 0 = 4*k + a - 17. Solve -8*q + k*q = 2*j + 6, -q + 16 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**5\/20 - m**4\/4 + 2*m**3\/3 - 13*m**2\/2 - 19*m - 3. What is the units digit of p(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -22*d**3 - 2*d**2 - 2*d - 1. Suppose -3*u - 72 = 153. Let m = -76 - u. Let r be g(m). Solve 18 = q - 2*q - 5*s, 2*q + 5*s + r = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-952)\/(-160) + (-851)\/148?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-4*(-4)\/(-8)). Suppose -4*n + 370 = y*r, r - 3*r = 5*n - 165. Suppose -3*x + 83 = -r. What are the prime factors of x?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 0*o**2 + 6*o**2 - 6*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 669898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*a - 11, -2*j = -a - 0 - 13. Let w(b) = 4*b**2 + b - 10. Does 9 divide w(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 150 and -67.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**3 + 7*f**2\/2 + 5*f. List the prime factors of g(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 473441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -17\/6*j**3 + 11*j**2 - 1\/6*j**4 + 0 - 1\/12*j**5 - 1\/120*j**6 + 0*j. Let g be r(-5). Solve -2*y + g*y - 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -6. Let v be (-36)\/(-140) + 5\/35. What is the closest to 0 in 5, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -35\/121?\nAnswer: -35\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i - 51*i = 5*g - 15, 0 = -3*g + i + 3. Suppose 2*u - 4*u = 0. Let f be -3 + 18 - (u - 0). Solve g*a - 3*a = f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Suppose 3*i = 5*m - 17, 7*i - 16 = -3*m + l*i. Let n(x) = x**3 - 5*x**2 - 7*x + 6. Let j be n(6). Solve j = 5*h - m*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 5:19 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n - 1. Let k be p(3). Is k - 0*3\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 14 + 54. Let q = j - 24. Let l = q + -2. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p + 192 = 0. Let n = p + 52. Differentiate -7*r**4 - 39 - 5*r**4 + 0*r**n - 3*r**4 with respect to r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4)**(-31))**(-6\/13)*(o**1\/o**(3\/4))\/((o\/o**(-2\/11))\/o**(6\/11)) assuming o is positive.\nAnswer: o**(32515\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 5. Let m(x) = -4*x - 1804. Give 3*f(q) - m(q).\nAnswer: q + 1789","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37297 is divided by 359?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518221 is divided by 184.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 18*g - 19. Let b be h(-9). Let x = 577 - b. List the prime factors of x.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8167981\/88 - -92817. Find the common denominator of o and -95\/68.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s - 2*s - s + (-2 + 1 + 3)*(11*s + 49*s + 57*s) + s - 3*s + 3*s - 2 + s + 2.\nAnswer: 240*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -143, -283, -423, -563, -703, -843?\n\"Answer: -140*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(832) + (sqrt(832)*1 + sqrt(832) - sqrt(832)))*-6*-4)**2 + -5 + (6*(1*sqrt(832) + sqrt(832))*6)**2.\nAnswer: 11980795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.59 + -6.21. Let m = b + 7. Let f = -203\/8 + 25. What is the second biggest value in m, 0.5, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by -73986?\nAnswer: -21\/24662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 7*y + 4. Let j be z(-5). Let p be j\/24 + 21\/4. Let r be 1\/((-5)\/(-2) - 2). Solve -r*s - p*v - 22 = 0, 2 = 2*s + v + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328277*o + 2*o**3 - 173489*o - 154788*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -9, -6, -3, 0, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3062.96 + -3063. What is the third biggest value in o, -10\/3, -0.8?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2321997042 and -2321997043 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121\/1331 - (-15)\/330*-508.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t - 4. Let u(d) = d**2 - 4*d. Let m be u(4). Suppose 7*w + 26 + 23 = m. Does 7 divide q(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*-2 + 0)**2 + 2 + sqrt(684) + -2.\nAnswer: 6*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 11:18 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 1:27 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + sqrt(10)\/(sqrt(30)\/(sqrt(24)\/sqrt(4))) + -4.\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 + 0*r - 5*r + 3*r + r**5 + 3*r**5 - 5*r**5 + (3*r**4 - r**4 + 0*r**4)*(9*r - 10*r + 26*r).\nAnswer: 50*r**5 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6879.187 years to millennia.\nAnswer: 6.879187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 11*u**2 + 2*u - 3. Calculate w(-11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + v + 8666 = 0, w + 2555 = v + 6886. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/4 - 30*h - 900 = 0.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6c (base 16) to base 3.\nAnswer: 10122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1664 (base 7) to base 14.\nAnswer: 36b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-5 - (-14 - -3)) + 3 + (-18 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30.36736l?\nAnswer: 30367.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(175) + 3)*6)**2.\nAnswer: 5400*sqrt(7) + 33120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/25)\/(((-6)\/(-120))\/(11\/132)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1634 and -8\/473.\nAnswer: 17974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + (3 + -5 + -1 + sqrt(468) + 2)*5)*6.\nAnswer: -24 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9532 + -4291. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -17.6. Let k = x - 0.555. Let p = -0.0423 + k. Round p to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wowy when four letters picked without replacement from {w: 2, o: 4, y: 8}.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4994*a**2 + 25*a**4 - a + 4995*a**2 - 2 - 14974*a**2 + 4996*a**2 + a**3 to the form g*a**4 + h*a**2 + r*a**3 + l*a + o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*l + l = 11, 25 = 5*z - 5*l. Suppose -z*g - 1 + 16 = 0. Calculate the common denominator of 21\/10 and (-2)\/g + (-181)\/(-40).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-18)\/(x*(x*((x*x**9*x)\/x)\/x*x)\/x))\/(x**(-9\/2)*x**(-1\/15)) assuming x is positive.\nAnswer: x**(-733\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + 45. Suppose i = 6*k - 2*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 - 825635430?\nAnswer: -825635432.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 694784 to the power of 1\/2, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g**2 - 27*g - 3. Let u(r) = 4*r**2 - 13*r - 1. Let n(d) = 7*u(d) - 3*z(d). Let y be n(10). Is (129 - 5) + (-2)\/y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (96\/5760*14)\/(7\/4)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -110324?\nAnswer: 2\/27581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2. Let f = -12 + 22. Suppose -7*y + 6*y = -f. Let s(t) = -9*t + y - 10. What is q(s(b))?\nAnswer: -243*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -653055346 and -653055346 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 1, 611.\nAnswer: -7, 1, 4, 611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279617 is divided by 46601?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 659.2291um to millimeters.\nAnswer: 0.6592291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13501326 to the power of 1\/2, to the nearest integer?\nAnswer: 3674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*t - 16 + 16 - 769*t.\nAnswer: -1099*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (161 + 270 + 14)*(-5*f**2 + 5*f**2 + 3*f**2) as l*f + c + x*f**2 and give x.\nAnswer: 1335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52651\/122060 + 31\/1436. Let v = -4\/85 - i. Which is the biggest value? (a) 0.051 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3167.923 to zero decimal places.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 1\/36*l**4 + 7\/60*l**5 - 1\/126*l**7 - 1\/90*l**6 + 0*l**2 - 1\/3*l**3 + 48*l - 2. Find g, given that d(g) = 0.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 10:55 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -40 - 89*c - 21 - 13 - 4*c**2 + 91*c. What is x(4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305673207.\nAnswer: 3, 7, 53, 193, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-22)*y))\/(y\/(y\/y**11)))\/(y*y*y**(-8)*y**(-9)))**(-22) assuming y is positive.\nAnswer: y**(-572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 11) to base 9\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1744?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(162)*2) - (-3 + (2*sqrt(832))**2))*1.\nAnswer: -3325 + sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952094688?\nAnswer: 2, 4457, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3 - 96*p**2 - 657*p + 756 = 0. What is p?\nAnswer: -21, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138 - 637. Let l = 497 + m. Which is the fourth smallest value? (a) -5 (b) -6 (c) 1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39330)\/(-144))\/23 - 3\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2315 in -1\/2, 0.2, 2\/9, 1.3, 1\/4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663367.3 centuries to years.\nAnswer: 66336730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 599320 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 776220 + -26.\nAnswer: 776194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 9:11 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 344, 345, 346, 347, 348?\n\"Answer: q + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 362*u**6 + 889*u**2 - 357*u**6 + 43 - 43 + 19*u**4 wrt u.\nAnswer: 600*u**3 + 456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 603 + 615 + 624 + 17*d - 1826 - 4*d**2. What is c(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3770 < 3627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/4 + 13403207*u**2\/2 - 53612825*u\/4 + 6701603 = 0. What is u?\nAnswer: 1, 26806412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgaalgllllglgjg. What is prob of picking 1 j and 2 a?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d + 4*q + 44, -q = 4*d - 24. Let p be 154 + (4 - 5) + -1. Suppose -d*m + p = -3*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 14. Let x be 6\/4 + t\/(-4). Factor -10*s**3 + 15 - 20*s**2 - 4*s + x*s + 8*s + 5*s**4.\nAnswer: 5*(s - 3)*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -83*f + 42*f + 49*f - f**2. Suppose 0 = 22*c - 32*c + 60. Give l(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - (1 + -4 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002173326 rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 2450.5 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432474*-0.01.\nAnswer: -4324.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78991 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 62*t**3 + 30 - 115*t**3.\nAnswer: -177*t**3 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - o - 5*o)*(-9*o**2 - 53*o**2 + 3*o**2)*(2*o**2 - 4*o**2 + o**2).\nAnswer: -118*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874785621 to the power of 1\/2, to the nearest integer?\nAnswer: 53617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -88470000 rounded to the nearest one million?\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28\/5*y**3 - 16\/5 + 32\/5*y - 4\/5*y**5 - 4\/5*y**2 + 4*y**4 = 0 for y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9367232 and 1099?\nAnswer: 1470655424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008898 rounded to 5 dps?\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1527, 3, 2\/7, -3 in decreasing order.\nAnswer: 1527, 3, 0.5, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*a**2*f*o**2 - a**2*f - 44*a**2 - 42472*a*f*o - 80*a*f + 96*f + 4*o**2 wrt o?\nAnswer: -60*a**2*f*o - 42472*a*f + 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 9:39 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46905623 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3969688 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*-1 + sqrt(2))**2 - sqrt(2))*2 + (-1 + sqrt(8)\/(sqrt(4)*-2))**2.\nAnswer: -sqrt(2) + 131\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2 - 3 - -6. Let r(u) be the third derivative of 1\/180*u**5 + u**2 + 0 - 1\/9*u**3 - 1\/72*u**s + 0*u. Factor r(v).\nAnswer: (v - 2)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 - -810\/7. Let h = k + 202\/21. Find u such that h*u + 1\/6*u**2 + 1\/6 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let b(a) be the second derivative of 373*a**3\/2 + 1510*a. What is b(j(y))?\nAnswer: 1119*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 10*n + 9. Let i be t(10). Let k(j) = 81*j - 39. Let u(p) = 323*p - 155. Let z(y) = i*k(y) - 2*u(y). Is z(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**7\/70 + u**6\/120 + 1009*u**4\/24 - 64*u**2 + 1. What is the second derivative of s(g) wrt g?\nAnswer: -36*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 406458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*u = -59*u - 272. Let r be (u\/85)\/(10\/(-25)). Suppose -1 = -4*x - 5*s + 15, -16 = -4*s. Sort r, x, 0, 3.\nAnswer: x, 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19092648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 1107?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54475 = 43*t - 38*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f + 6258 = 596*f + 498 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyrzbaa. What is prob of picking 1 x and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 5 + 10*s + 8 to the form m*s + q and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1322 + 913505\/691. Let r be ((-36629)\/(-6))\/(2073\/9). Let d = r - j. What is the common denominator of d and -15\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 42*c**2 + 1464*c + 1231. What is s(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.6 - 48. Which is the closest to -8\/5? (a) -2 (b) 13 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 26. Let q be x(21). Suppose -a + 264 = p - 1093, -2*a = q*p - 2714. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73293559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 210320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 7:27 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 319*a - 346*a - 108 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*i**2 - 1)*(0*i + 2*i - i - 2 + 2 + 2*i + 0*i + 4*i - 3*i + (-3 + 1 + 0)*(-4*i + 0*i + 2*i) + 0*i + 3*i - i).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 24620082.\nAnswer: -1231004.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 22 = -2*q, -5*q + 2*z + 12 = -7. Suppose q*k - 1460 = -0*k. What are the prime factors of k?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 81?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001100000001011 - -1111011010?\nAnswer: -1110001010000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -573*a**3 + 15*a**2 + 45*a - 2. List the prime factors of k(-3).\nAnswer: 31, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257420?\nAnswer: 2, 3, 5, 19, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62735, 62745, 62755?\n\"Answer: 10*d + 62725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdsesdnesmssmsnss. What is prob of picking 1 d and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 26, 0*r - r = -2*c - 6682 + 6662 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 + 6772*x - 5732498 = 0. Calculate x.\nAnswer: 1693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 265*j + 103. Is y(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1306 + 9312. Is 26 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -408*a**3 - 15*a**2 + 15*a - 294. Let z(f) = 5*f**3 + f**2 - f - 1. Let l(o) = s(o) + 15*z(o). Find the first derivative of l(q) wrt q.\nAnswer: -999*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 13}. What is prob of sequence hh?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r + 8*r)*(-r**3 + 0*r**3 - 3*r**3)*(2 + 4 - 36).\nAnswer: 1200*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1324\/(-444) + -6 - -9)\/((-4)\/12).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, 9\/17, -4?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 206 = -170 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*p + 23*p = -19*p - 583 - 2723 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 115262880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-320)\/32 + (23 - 1). Calculate the greatest common divisor of 2364 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22571 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111812 + 247350 + 12730 = 68*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -5*k - 110. Let l(a) = 152*a + 1171. Let t be l(-8). Let n = k - t. Solve -2*m - 2*v - 11 = -1, 5 = n*m - 3*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**9\/4536 - j**7\/630 + j**5\/180 - 2*j**3\/3 - 2. Let k(l) be the third derivative of v(l). Find m, given that k(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {k: 1, v: 3, g: 3, y: 1, u: 1, m: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = -3*s + 15, 5*s = -2*f + 18. Let o = f - -1. Let c be o - 1 - 15\/(-5). Solve 4*h - 6 = -c*q, 0 = h - 0*h + 4*q - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 - 38*i - 84 = 0.\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437 - 143 = 49*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2110*r**3 - 6*r**2 - 12*r + 3260. Let h(s) = -s**3 + s**2 + 2*s. Let q(w) = f(w) + 6*h(w). What is the first derivative of q(u) wrt u?\nAnswer: 6312*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4077250959 to the power of 1\/4, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 126, -2272\/25, -21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15498961061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d + 4*d)*(-691 + 691 + 18*d + (2*d + 0*d - d)*(-1 + 2 - 2)).\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/3 + 1671997*s**2\/3 + 1671998*s\/3 = 0. What is s?\nAnswer: -1, 0, 1671998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (914 + 735 + 449 - 167)*(-19 - 11 + 10 - 2*q) in the form j*q + v and give v.\nAnswer: -38620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(1008)*5 + 4 + -4*(sqrt(1008) + 1))**2 + -5 + 5.\nAnswer: 847728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2\/5, -133578?\nAnswer: -133578","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/3)\/(7\/7). Let s(c) = 2*c - 5 - g*c + 5. Give s(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*q = -1, -2*s + s = q - 2. Let w(i) = 10*i - 28. Let j be w(3). Solve -4*r = u + s, 3 = -j*r + 4*r - 3*u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**2 + 144*u + 394. Give q(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2 = 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 85466826*d\/5 - 170933644\/5.\nAnswer: -2*(d + 2)*(d + 42733411)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 855*a**2 + 81225*a + 2572125 = 0.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 174 = 642. Let g(u) = 2*u**3 - 35*u**2 + 18*u - 5. Calculate the least common multiple of j and g(17).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a + 31*a**2 + 6*a - 29*a**2 - 9*a. Let x(j) = -405*j**2. What is v(x(y))?\nAnswer: 328050*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 - 3*o**2 - 2*o + 4. Let z be r(1). Let u be 20*(1113*-1 + z). Round u to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 l, and 1 q when four letters picked without replacement from gqaegla?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a factor of 1869640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -188, -380, -582, -800, -1040, -1308, -1610, -1952?\n\"Answer: -o**3 + o**2 - 188*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 37*b + 4 + 38*b)*(2 - 3 + 0)*(-3*b - 2*b + 3*b).\nAnswer: 2*b**2 + 46*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -696, -698, -692, -672, -632, -566, -468?\n\"Answer: x**3 - 2*x**2 - 3*x - 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2192 and 96752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 + -66. Suppose -f = -5*b - 4. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 17185644*h**2 + 24612179455575*h - 49224427653750.\nAnswer: 3*(h - 2)*(h + 2864275)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 - -41) - (22 - 26).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28342188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -941058 divided by 941058.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7663 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 86284, -1.\nAnswer: -1, 0, 86284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11248083 by -3.\nAnswer: -3749361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4497112 and 4?\nAnswer: 17988448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b + 3*b - 8*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*j*o**2 + 6*j*o - 5*j - 1113*o**2 + 15*o wrt j.\nAnswer: 5*o**2 + 6*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-266)*(189\/(-2))\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 20. What is r rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1655)\/(-20) - (-2)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 9*r + 2. Let l be o(-5). Let k(a) = -4*a - 5. Let x(w) = 7*w + 11. Let s(h) = l*x(h) - 5*k(h). What is the derivative of s(p) wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*u + 516, 5*s + 512 = 7*s - 4*u. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*-1*sqrt(792) - sqrt(792)))\/((4*sqrt(77)*-1 - sqrt(77))\/(sqrt(7) + (sqrt(7) - sqrt(14)\/sqrt(2)*-1) + sqrt(7) + sqrt(7))).\nAnswer: 150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + o**2 + o - 377. Let h be s(0). Let w = -188 - h. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -360 + 425. Suppose 0 = 9*b - 92 + i. Solve -3 = 3*k - j + b*j, -j = -4*k + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/8)\/(22 + -10 + 63\/(-6)). Find n, given that -1\/2*n**4 + 0*n - y*n**3 - 2*n**2 + 0 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*k**3 + 96*k**3 - 11*k**3.\nAnswer: 159*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 928893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, r: 11, h: 4}. What is prob of sequence hr?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkkokiikkiiii. Give prob of sequence iik.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 254 - 150. What is the greatest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -44.8.\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5 = 3*o, 5*o + 65280970*b = 65280968*b - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -564260 divided by 141065?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54458 is divided by 434?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/(-90)*(-15)\/6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -19*x + 6. Let b(p) = 37*p - 12. Let d(w) = 4*b(w) + 9*t(w). Let j be d(6). What is j rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20029.010429 - 20029. What is u rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 2*c - 2*c)*(-c**2 - 2 + 2) - c**2 + c**2 - 2*c**3 + (c + c**2 - c)*(-c + 4*c - 5*c) + c - c - 2*c**3 + (-96 + 96 - 56*c)*(c**2 + 0*c**2 + 2*c**2).\nAnswer: -173*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/28455)\/(168\/392).\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 - 2*n**2 + 2*n**2)*(41 - 7 - 4*n + 6*n) to t + p*n + l*n**3 + b*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = 8 + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 15\/2. Which is the closest to -2? (a) 0.5 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and 7500.\nAnswer: 7507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/882 and 13\/(2535\/(-754)) - (-2 - 1*-3).\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 661 and 206101783.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1911 + b**3 + 0*b - 11*b**3 - b**2 + 4*b**2 + b + 1910 in the form k*b**3 + n + x*b + j*b**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -36. Let y = i + 1. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 6*u + 4*u)*(3*u + 0*u - 2*u)*(33*u**2 - 208*u + 208*u)*(0 + u + 0).\nAnswer: -33*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 + i + 2. Let r be t(5). Let j(q) = 5*q + 2*q - 1 - 8*q. Let w be j(-13). Calculate the highest common divisor of w and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1115, 2148, 3207, 4304, 5451, 6660?\n\"Answer: 2*i**3 + i**2 + 1016*i + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 15*w**2 + 13*w + 48. Is k(-12) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 2*m - 3. Let g be l(-4). Suppose -3*k + 44 = -g*y + 4, 0 = 2*k + 5*y + 15. Solve 5*i - 6*i = -k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.91405 millimeters in meters?\nAnswer: 0.08291405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 3*g**2 - g**2 - 8*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 14 + 29 = 0. Let p be t*(1614\/42 - 9\/21). Suppose -55 + p = 9*y. Solve -y + 5 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t - 716 + 410 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46*588\/(-126224))\/((-8)\/(-42))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*v = 2, -4*p + 5*v = p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -479.03 - -483. Let v = z + 0.03. Which is the biggest value? (a) v (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 184.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145095*m**5 - 291*m**4 + 19*m**2 - m + 19055.\nAnswer: 8705700*m**2 - 6984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 9884 + 628 = -5*a, -3*a = 5*n - 23159. Let y be ((-329580)\/3060)\/(1\/43). Let h = y + n. Calculate the common denominator of 5\/2 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 2*l**2 - 1. Let n be o(-4). Suppose -12 = -4*a, -3*a - n = -5*k - a. Suppose 2*z - k - 23 = 0. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -14, -20, -28?\n\"Answer: -r**2 - r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 356.8707 tonnes?\nAnswer: 356870700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.845436 millilitres in litres?\nAnswer: 0.000845436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521565921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 - 119. Let p be (6 + -7)*(2 + 3 + k). What is the biggest value in -0.13, -2\/7, p, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11208 and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrrccqeqzzzc. What is prob of picking 2 q and 1 e?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -111. Let y = -209 - -174. Let j = y + c. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s + 8. Suppose 3 = -s*b - 3*c - 27, -4*b = 3*c + 36. Let h be (b\/(-5))\/(21\/70). Solve h*l + 6 = 2*k, 4*k = l + 2*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -54055?\nAnswer: -54104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = v - 412, 0 = -r - 0*r + 2. Let f = 1051 - v. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 319.3935 to zero decimal places.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + j - 1 = -3*j, -2*x = j - 9. Which is greater: x or -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.57497+37671\nAnswer: 37647.42503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 609760 - -5?\nAnswer: 609765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t + 168. Give s(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8 + -12 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 2*q**2 - 49*q - 42. What is b(-8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 427692228383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - l + 5. Let b = 855 + -821. Calculate the remainder when h(-5) is divided by b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juju when four letters picked without replacement from {u: 15, j: 4}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -25*2\/10 - (-6250)\/2 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*u - 4 - 4 + 2, u + 2*o = -8*u + 5*u + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -1.17535?\nAnswer: -0.0822745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**6\/360 + 1591*t**5\/180 - 265*t**4\/12 + 9521*t**2. Factor c(x).\nAnswer: -x*(x - 1590)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -260063 and 22.\nAnswer: -260041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 71236*y - 641122. What is o(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*v - 157*v + 313*v + 13*v**2.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 180 = 7*z. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 422751.2 decades?\nAnswer: 4227.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -3*g - 60. Let h(w) = 6*w + 9. Let m be h(-2). Put m, 0, g in descending order.\nAnswer: g, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-7))\/(2514\/(-111454)). Is d at least -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxex when four letters picked without replacement from xuuxxgugeexxxygxg.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/(-12)*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*-1 + sqrt(10))\/sqrt(2)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1273 + -6?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29549686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -286, -634, -982, -1330?\n\"Answer: -348*l + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 30*y**2. Let m be 5 + 2 + 0 - 1. Suppose -g = -3*g, 3*j = g + m. Let c(v) = 21*v**2 - 35*v**2 + 16*v**j. What is c(o(f))?\nAnswer: 1800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 321314665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/20 (b) -2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 5 (c) -1\/2 (d) -132\/217 (e) 0.266\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {z: 13, w: 4, u: 3}?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + w + 13. Let a(k) = -3*k**2 + k + 31. Let i(v) = 2*a(v) - 5*d(v). Calculate i(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from aabggyg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 871*d - 872*d - f + 4, -95*f + 476 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3802?\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17260*m**5 + 13*m - 2253 wrt m?\nAnswer: 345200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 3*p**2 - p - 3. What is v(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1059065, -4236219, -9531475, -16944833, -26476293?\n\"Answer: -1059051*l**2 - l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 11. Let a = 791\/138 - 3\/46. Is r >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, -30, -39, -52, -69, -90, -115?\n\"Answer: -2*g**2 + g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 47*u**5\/120 + u**4\/8 - u**3\/2 - 6*u**2. Let h(a) be the first derivative of o(a). Is h(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1. Let a(d) = 94*d**2 - d + 5. Let r(u) = a(u) + 4*b(u). Suppose -3*j + 9 = 6. Is r(j) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -28. Let d = t + -13. Which is the closest to d? (a) 3 (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*z**3 - z - 4*z + 3*z - z**2 + 1 to t*z**3 + o*z**2 + q + g*z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -93998777.5 rounded to the nearest 1000000?\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 71*u**2 + 0 to p + g*u**2 + n*u and give g.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -174a69?\nAnswer: 174a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 116?\nAnswer: 41\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 6*t**3)*(0*t**2 - 1 + 2*t**2 + 3 + 3*t).\nAnswer: 12*t**5 + 18*t**4 + 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:44 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189879166.\nAnswer: 2, 94939583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5751*n**2 - 27886*n + 0 + 27886*n + 0. Let g(l) = 3*l. Determine g(y(b)).\nAnswer: 17253*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 11:59 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32\/55 - -2\/11. Let w be ((1 + -2)*-2 - 2)\/(-2). Suppose 363*m - 365*m = w. What is the closest to q in 4, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 - -685. Let b = -137 + h. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 6*q**2 + 2. Suppose -3*j + 3*m = -21, 9*m + 11 = j + 4*m. Let u be i(j). Solve -2*k - u*s = k + 4, -3*s = -4*k - 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0428 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 473353.7 or 3\/7?\nAnswer: 473353.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/(-9))\/(5\/(-30)*-4). Let x(d) = -d**3 - 5*d**2 + d + 5. Let n be x(-5). Let p(q) = q - 6 + n + q. Determine p(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148130 is divided by 202.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 9. Let u be f(-12). Let q(t) = -2*t**2 - 7 - t**3 + 12*t**2 - u*t - 5*t. Let b be q(9). Solve -2*w - b*w - 20 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/152*(-4)\/2\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/5670 and -209\/123480.\nAnswer: 1111320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y + 2*y)*(y**4 + 39*y**3 - 47*y**3 - 2*y**4 - 7*y**2).\nAnswer: -2*y**5 - 16*y**4 - 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466152?\nAnswer: 2, 3, 19423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:45 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 572439 times 169\nAnswer: 96742191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*s - 12, 3*x + 3*s - 9 = 0. Let j = 71 + -51. What is the highest common factor of j and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 34. Let s = 127.47787 + -111.4792. Let j = p + s. Round j to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -12. Suppose k*v - 4*v = 6. Let i be ((-3)\/(-2))\/(3\/(-6)) - -3. Sort 2, v, i in decreasing order.\nAnswer: 2, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - 100. Suppose -5*v - 3*y + 764 = -420, 2*v = g*y + 484. Calculate the remainder when v is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16982 - -24133. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1393112612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -120683\nAnswer: -120678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 3*v - 9. Let f be p(6). Suppose f = 9*d - 0*d. Suppose -5 = -5*i - 2*q + d, 0 = 4*i - 4*q - 28. Which is greater: 7 or i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1034 and 65\/99452?\nAnswer: 1093972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1521, -6097, -13731, -24423, -38173, -54981, -74847?\nAnswer: -97771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3481?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 53 - 128 = -355 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiiyiiiiiiyyyiiiy.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (24\/10)\/3 - (-23376)\/30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 52*s + 584. What is k(-6)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*q**3 - 2 - q**2 + q + 0 + q - 6*q**2 + 6*q**2 in the form f*q + d + v*q**3 + p*q**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111202201021 - -100112?\nAnswer: -111202100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 22424 to the nearest one hundred.\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (2 - 3))\/2. Let p be m*(-12)\/4 - -6. Let g be 0\/(-7 + p - -3). Which is greater: g or -2\/43?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 7:24 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5\/30*2*105\/5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(3\/(-2)*4\/6). Let x = d - 3. Calculate the smallest common multiple of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44212751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -152*j + 377*j - 1113 - 1961 + 599 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3 + 1)*-1. Suppose 5*r - 12 = -4*q, -4*q + 2*q - 3*r + 8 = 0. Let c be 2*(q\/(-12) + 0). What is the smallest value in x, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2)*(-2)\/24)\/(2\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2 - 1. Let f be w(-1). Let l(d) = d**3 + 7*d**2 + 5*d - 8. Calculate l(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**4\/24 - 2*i**2. Let u be (4\/6)\/((-4)\/6). Let x(s) = -2*s + 2. Give u*x(m) - h(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1857, -0.2, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/8 + 17583*z**2\/4 + 2328733*z = 0. What is z?\nAnswer: -34628, -538, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 986 and 177344?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 8960.558.\nAnswer: 8964.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 8 = -2*n. Suppose -2*x + 202 - 214 = -3*t, -5*t + 3*x = -19. Let g be (n + 3 + -4)\/(2\/t). What is the highest common factor of 27 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from mammmaamamama?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1 = -3*r + 3, 2*q = 2*r. What is the remainder when 66 is divided by (-1 + (1 - 1))\/(q\/50)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.42 - 2.4. Which is the third smallest value? (a) o (b) 5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 1, m: 1, j: 1, o: 2, t: 2}. Give prob of picking 1 h, 1 m, and 1 c.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -186.599 + -0.401. Let f = r + 186.94888. What is f rounded to 3 decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 129\/(-315) - 8\/(-20). Let o be ((-1704)\/(-70))\/(60\/8 + -3). Let p = v + o. What is the common denominator of -61\/4 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9405525 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fotmtvtfof.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -238 - -241. Solve 2*z - 4*y + 8 = 0, a*y = -y + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h + 2. Let f(p) = 2*p + 5. Let b(l) = -l - 6. Let x(z) = 6*b(z) + 7*f(z). Let a(u) = 2*c(u) + 3*x(u). What is the units digit of a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7589, 15155, 22701, 30227, 37733, 45219, 52685?\nAnswer: 60131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 111 = h, -9 = 3*k - h - 76. Let d = 48 - k. Let t = d + 14. What is the remainder when t is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/63404 and -61\/1046166.\nAnswer: 2092332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601002723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/568 and -187\/150?\nAnswer: 42600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 84*m + 304. Determine z(-16).\nAnswer: 1904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2748363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 1400542?\nAnswer: -1400551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.03 (b) -39 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2391 + 10198. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000010 (base 2) to base 3.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*r = -820*r - 4777 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/825 and -47\/1155.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, c: 2, i: 1, d: 2, q: 2, y: 4}. What is prob of picking 1 i and 1 q?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axay when four letters picked without replacement from {q: 1, z: 1, y: 2, a: 2, x: 10}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = i - 15, 3*i = 50940*f - 50936*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 2. Let j(b) = -1. Let z(y) = 3*y - 3 - 4*y - 4*y + 6*y. Let n be z(2). Determine n*w(d) - 2*j(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/10 - 7*x**4\/12 + 7*x**3\/6 + 122*x**2. Let m be c(2). Solve 5*a - 30 = 2*k, m*k + 5*a = -0*k + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/6)*d*d)\/d*d*d**13)**(4\/7)*(d\/(d**(1\/5)\/d)*d*d**(1\/4)\/d)\/((d*d\/((d*d**0*d)\/d))\/d)**36 assuming d is positive.\nAnswer: d**(4261\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 4)*(-17 - 10 - 6)*(3 - 2*a - 3) in the form p*a + t and give p.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -27, -103, -205, -333, -487, -667?\nAnswer: -873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/17*20\/(240\/(-3))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -91*x + 205. List the prime factors of j(-6).\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*m*x**2 - 40*g*m - 87*g*w*x**2 - 414*g*x**2 + 3*m*w*x**2 - 99*m*w*x with respect to w.\nAnswer: -87*g*x**2 + 3*m*x**2 - 99*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214997396 by 53749349.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 9 + 3)*(-y - 8*y + 2*y) - y + y - y + (3*y - 3*y - 2*y)*(3 - 4 + 2).\nAnswer: -31*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -5*p + 3*a + 303, -4*a + 68 = 2*p. Let g = p + -16. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 27 = -4*n, -7*a - 21 - 9 = -3*n. Let q be (-10)\/35 + (-136)\/14. Let x be (-4)\/q - 17\/5. Is x at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:00 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 6. Let x be j(5). What is the units digit of 18*((-56)\/(-12) + x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123 and 8.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**5 - i**5 - 3*i**5)*(-27 + 33 + 36) + (i**4 + i**4 - i**4)*(3 - 3 + 3*i) + 3*i**5 - 2*i**5 - 3*i**5.\nAnswer: 43*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 286, 643, 1132, 1747, 2482, 3331, 4288?\nAnswer: 5347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y**2 - 2*y + 6*y + 6*y)*(3*y**2 + 2*y**2 - 6*y**2) in the form w*y**4 + k + v*y**3 + o*y + p*y**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 6*c + 3. Suppose 2*d - d - 6 = -3*k, -5*d + 10 = 5*k. Suppose -2*i - 3*i - 25 = d. Calculate t(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -829.8 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/20 + 11*a**4\/24 + 2*a**3\/3 + 2*a**2. Let d be k(-8). Is 0 - d\/(1 + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036632 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 0*v = -1960. Let x(b) = -b**3 + 5*b**2 + 2*b - 7. Let g be x(8). Let r = g - v. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/826 and 3\/229628.\nAnswer: 229628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-355)\/3960*17 + (-8)\/(-18) and -67\/1485.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -46*q - 7. Let k(t) = t + 3. Let p be k(3). Suppose f = -f - p. Is w(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/60 - 5*i**4\/24 + i**3\/3 + i**2. Suppose 5*n + 4*f + 22 = 0, 4*f = -0*n + n + 14. Give p(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(12\/11)\/(f*f**3) assuming f is positive.\nAnswer: f**(-32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 1. Let a be d(-7). Suppose -3 = 3*t - 12. Suppose 5*r - 213 = -t*g, -a*g + 2*g = 3*r - 130. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**5 + 11*m**5 - 15*m**5 + 3*m - 11*m**5 wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-2))\/(1*-2))\/(1020\/(-680))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**2 - 4*t + 7. Let s(m) = 3*m**2 - 2*m + 3. Give -6*l(d) + 13*s(d).\nAnswer: 3*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -89760 divided by 5?\nAnswer: -17952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3458\/5685 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m = -52*m - 12. Let v be 108\/1*(-8)\/(-12). Let j = -147\/2 + v. Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28582.832 rounded to the nearest 100?\nAnswer: -28600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 27*h**2 - 22*h + 13. List the prime factors of r(-16).\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*v + 2, -14 = -v + 5*d - 2. Suppose -i = 2*i - 21. Let n(l) = -5*l. Let c be n(-3). Solve v*x + c = i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1606.6 and 15?\nAnswer: 24099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l - 54 = 0. Suppose y = -67 - l. Let f = y + 209. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1*-4*sqrt(605)*-2)**2 - 3*((0 + sqrt(5))**2 + -5 - (-1 + sqrt(5) + 3))).\nAnswer: 3*sqrt(5) + 38727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*z - 35*z + 160 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1404, 5393, 11968, 21123, 32852, 47149, 64008, 83423?\nAnswer: 105388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 c, and 1 u when three letters picked without replacement from {c: 10, u: 3, s: 4, q: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34, 0, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t**5 + 9*t**4 - 111*t**3 + 27*t**2 + 96*t - 36 = 0. Calculate t.\nAnswer: -3, -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, g: 7}. Give prob of sequence ooo.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 22, 55, -414?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 458.6*6546.\nAnswer: 3001995.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 165412 divided by -4\nAnswer: -41353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 5:51 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*y - 149*y = -28373. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/11 and 50\/123.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 1363*h - 1359*h - 19, 2*v = h - 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 12. Let x = y + 7.6. Let z = -254\/279 + 42\/31. Which is the smallest value? (a) 3 (b) x (c) z (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287631160 divided by 340\nAnswer: 845974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 102*d**2 - 2017*d - 721. Determine h(119).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -51*j - 5. Is f(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -208*y**2. Let h(i) be the second derivative of 8*i**3\/3 - 2230*i. Determine z(h(v)).\nAnswer: -53248*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + y + 3. Let a(d) = 2*d**2 - d - 50. Calculate -a(i) - c(i).\nAnswer: -i**2 + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 767*c. Let t(f) be the first derivative of 7*f**2\/2 + 6245. Give t(h(x)).\nAnswer: 14*x**2 + 5369*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4892 - 5326.8. Let u = -381 - q. What is u rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*x - 28 = 0, -20*f - 267 = -x - 281 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + (-473 - -493).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**2 - 2*w + 1. Let v be l(1). Suppose 3*s + 0*d = v*d + 134, 0 = -s + 3*d + 50. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4468016\/11 - (13 + (-1680)\/132) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124011 (base 5) to base 9.\nAnswer: -6623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/3 - 23420*p**4\/3 + 93740*p**3 - 421920*p**2 + 843930*p - 632988 = 0. What is p?\nAnswer: -11722, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485, 971, 1457, 1943, 2429, 2915?\nAnswer: 3401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1195300 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-7) + (-2634)\/(-42)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22.604 < -0.74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473222 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**6\/10 - 53*s**5\/10 - 139*s**4\/4 + 944*s. What is the third derivative of v(u) wrt u?\nAnswer: -72*u - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8252*j + 387844. Give d(47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2299) + sqrt(2299)*-3 + -3 + -2 + sqrt(2299)*-4)**2.\nAnswer: 660*sqrt(19) + 82784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -732860?\nAnswer: -9\/146572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -9\/32*n**4 - 19*n - 1\/160*n**5 + 0 - 729\/16*n**2 - 81\/16*n**3. Factor b(t).\nAnswer: -(t + 9)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*i + 503*i + 1209*i = 157534 for i.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1351326714.\nAnswer: 2, 3, 641, 351359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 59*o**2 - 2*o - 5. Let d be p(-2). Suppose -48 + d = 11*w. Solve -s + 5*k = -w, -2 = -2*s + k - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4848652631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -83636 (base 13) to base 7\nAnswer: -2002310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39039.17um to nanometers.\nAnswer: 39039170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7056322 and 7672?\nAnswer: 28225288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 24. Factor 5*s**5 - 5*s**3 + 7*s**4 - t*s**4 - 5*s**2 + 29 - 29.\nAnswer: 5*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/22*-1 - (-458)\/(-22). Let g(f) = -f**3 - 22*f**2 - 21*f + 26. Calculate the lowest common multiple of 10 and g(o).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/45 + 20\/6. Suppose 7*u - x = 193. Let y = u + -34. What is y rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1375 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 14. Let s be 3 - (6\/33 + (-71)\/(-33)). What is the smallest value in s, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10482 is divided by 5215?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 964886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.1447 grams in kilograms?\nAnswer: 0.0751447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/5 - 6*k**3\/5 - 138*k**2\/5 + 286*k\/5 - 144\/5.\nAnswer: 2*(k - 9)*(k - 1)**2*(k + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 21*h**2 - 7*h + 154. Let n be t(21). Let m(p) = 34*p + 5. Let v(f) = 17*f + 2. What is n*v(g) - 3*m(g)?\nAnswer: 17*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8276, -33100, -74474, -132398?\n\"Answer: -8275*o**2 + o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3374 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 8. Let h be r(-8). Suppose -n = 2*f - 4, -5*f + 0*f + 5*n - 5 = h. Let i be f\/4 - (-13)\/(-52). Solve 3*w + 6 = -i*o - 3*o, 4*o = -w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13 + (4\/3)\/(200\/1050). Sort -5, -1, 4, y, -3.\nAnswer: y, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -324*i. Let n(o) = 12446*o. Determine n(c(d)).\nAnswer: -4032504*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 - 9485*a\/2 + 42642.\nAnswer: (a - 9476)*(a - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 15*z. Let l(h) = -5*h - 12*h + 18*h. Calculate s(l(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -3, 435 in increasing order.\nAnswer: -3, 36, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/210)\/(5\/35))\/(1\/15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 175565743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9274 + 9698. Put -2, q, 2, 5 in ascending order.\nAnswer: -2, 2, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35d (base 16) to base 11\nAnswer: -713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6204*o = -2832*o - 2786*o - 29886 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away 160539.85?\nAnswer: -160540.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -0*s + 5*s. Let y = 16 - s. Let q = y - -106\/3. Are -0.2 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30941091 and 17189495.\nAnswer: 154705455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 172*j**2 + 1042328*j + 48480 = 0.\nAnswer: -6060, -2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*z + 113 - 214 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -3 + (-72)\/(-1). Suppose h - 3*h + p = 0. What is the remainder when h is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -40407*x + 2222385. Determine p(55).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*z - 242, -2*z - 3*r + 81 = 1. Suppose -d + z = 44. Let g(h) = 421*h - 1. Is g(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0963584 and -1.\nAnswer: -1.0963584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38, -23, 18, 97, 226, 417?\n\"Answer: 2*u**3 + u**2 - 2*u - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1832 and 975 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-48)\/(-40))\/(9\/30). Let c be ((-150)\/(-9))\/(6\/(-9)). Let u = c - -77. What is the greatest common divisor of u and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j - 9*j = -76. Let -34*c**4 - 96*c + 30*c**4 + 24*c**3 - 7 - 4*c**j - 57 = 0. What is c?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 plus -12.86?\nAnswer: 104.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 1)\/((-5 + 6)*9). Let t = 4.75 - -0.25. Which is the closest to 6? (a) -0.4 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + 5. Let k = j + -17. Suppose -m + k + 6 = 0. Calculate the lowest common multiple of m and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(204) - sqrt(204))*-6)\/sqrt(12))**2 + -2 + 2*sqrt(1088).\nAnswer: -2 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -8 - 2. Let n(w) = 21*w + w**2 - 3 - 19*w + 0*w**2. What is n(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3 + 465*w**2 + 12450*w + 23000 = 0. Calculate w.\nAnswer: -20, -2, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + z + 56. Let s(v) = 3*v**2 + 2*v + 3. Let a be s(-3). Suppose 2*j - 16 - a = 0. What is the least common multiple of j and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -38, -40, -42, -44?\n\"Answer: -2*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 5 (b) -0.5 (c) -269 (d) 2\/19 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27489448 = 3*p + 5589448. What is p rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645949146.\nAnswer: 2, 3, 107658191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7*r - 1500. Suppose 7*q = 5*q + r. Suppose -n + 287 = -q. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-34)\/18) + 9\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1924 and 7\/1632?\nAnswer: 784992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 19290 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (11770\/1078 + -11 - 0)*-14\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*z + 200*z - 1344 = 0. Which is the third biggest value? (a) -1 (b) 0.99 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3145275, 6290539, 9435803, 12581067?\n\"Answer: 3145264*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -9, -4, -79.\nAnswer: -79, -9, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 14*c**2 + 13*c + 5. Let t be k(-13). Suppose -l - 22 = -3*u, 5*u - 28 - t = -2*l. Let g be 0 + 3\/2 - (-51)\/34. Solve g*b = u*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 27. Let y be d(-8). Suppose -7*n - b = -3*n - 683, -y*n - 5*b + 525 = 0. Is 35 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 18 = -2*y. Let l be ((-6)\/(-4))\/((-5)\/y). Suppose l*m = 3*s + 9, -5*m + 2*s = -0*s - 30. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i*k**3 - i*k*p + i*p + 59*k**3*p - 7*k**2 + p wrt k.\nAnswer: -18*i + 354*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 6:36 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/16 (b) -1\/22 (c) 4\/7 (d) -2\/3 (e) -340 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -101 * -34\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -695959*t**3 + 99135*t + 7.\nAnswer: -4175754*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m + 20. Let v be g(-3). Find the second derivative of -31*h + 4*h**v - 12*h + 17*h wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 6*v + 1. Let i be x(-7). Let r be (33\/22)\/((-4)\/((-128)\/6)). What is the second derivative of 4*g - r + i + 2*g**2 wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 - 28*v + 4. Let k(z) = -6*z**2 + 27*z - 3. Let m(h) = -3*i(h) - 4*k(h). Find the second derivative of m(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1100) - sqrt(1100)*1 - sqrt(1100))*5 + 3)**2.\nAnswer: -1800*sqrt(11) + 990009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 24*y**2 + 4*y + 2. Let u be t(-2). Let x(o) = -o**3 + 12*o**2 - 12*o + 16. Let g be x(11). Suppose g*m + 30 = u. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*g**2 + 0*g + 0 + 2\/3*g**3 + 1\/6*g**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-5)\/(-480)*(-9)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13110 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9300830?\nAnswer: 2, 5, 7, 11, 47, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8316 times -4\nAnswer: 33264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 108?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 402 + -398. Solve u*h = 5*t + 2, 10*h - 5*t = 15*h - 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 93?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r. Let d(c) be the third derivative of -c**7\/630 + 3*c**4\/8 + 3*c**2. Let b(a) be the second derivative of d(a). Calculate w(b(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22298 + 22298 + 108*c)*(-13 - 8 - 23).\nAnswer: -4752*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.078 + -2.922. Let o be 5\/(-8)*(3 + -1). Let y = 2.5 + -3. What is the closest to c in y, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846163259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 75, 153, 233, 315, 399?\n\"Answer: f**2 + 75*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-712))\/((-9051)\/3448)\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10*b**2 - 60*b + 9. Let n be k(6). Solve -n*u + 4*u - 5*c = -45, 5*c - 35 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, 1, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1051, 9, 1, -0.3 in decreasing order.\nAnswer: 1051, 9, 1, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 143*t**2 + 650*t + 20718. Give r(-74).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*v - 31, -v - 23 = -3*y - 0*v. Let c = 0 - -2. Solve 12 = -c*t + y*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m = 7 + 177 - 16 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7*((-93)\/(38409\/(-472)))\/((-1)\/(-17))\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 8:38 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10125.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.3 - 0.3. Let i = 713 + -709. Which is the nearest to -2\/3? (a) u (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -81a1?\nAnswer: -81a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 - 7*u - 9. Suppose 0 = 4*j + j - 50. Suppose 2*p = -0*p - j. Does 14 divide l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 14. Suppose -2*r = -w*r - 66. Suppose i = 5*l + 14, -i = 3*l - 23 + 1. What is the remainder when r is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2. Let j(d) be the second derivative of d**4\/12 + 15*d. Give w(j(i)).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 44*z - 53*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -12*r - 8. What is i(2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2644 + 2646. Let y(b) be the first derivative of -4 - 11*b + 5\/2*b**q. Differentiate y(p) wrt p.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -12*d**2 - d**3 + 3 - 3*d + 3*d**2 + 3*d**2. Determine u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - h + (0 + 2 + 0)*(2*h - h - 2*h) + (-3 - 9 - 1)*(0*h - h + 0*h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -524257 at most as big as -524259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28292\/265 + 534\/5. What is the closest to 0.3 in -0.3, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*g - 1. Let r be (0 - g)\/(4\/12). Round r to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -86, -172, -258, -344, -430?\n\"Answer: -86*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4 - 45459*u**3 - 17088642*u**2 + 17406816*u + 102804480 = 0.\nAnswer: -368, -2, 3, 15520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*l**2 + l**3 - l**3 - 5*l**3 - 9*l**2 in the form y*l**3 + p*l**2 + t + v*l and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 u when three letters picked without replacement from dedxddexdddexdedxuud?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (324\/42 - ((-1)\/3)\/((-91)\/(-78)))\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -770 + 11552\/15. Let y = 285\/4 - 71. What is the nearest to y in l, -0.2, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) 5 (c) -3\/449\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-4))\/(4\/(-259)). Let b = 4553 + -4650. Let g = n + b. Find the common denominator of g and 21\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -70 and 67906.\nAnswer: 67836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 522621624 to the power of 1\/2, to the nearest integer?\nAnswer: 22861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s + 6*s)*(8 - 46 + 83)*(-1 + 4*s + 1).\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6)*105\/35 - -36. Calculate the remainder when (j\/(-140))\/(2*(-3)\/696) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74740 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118225140783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 1, -6*r + 5*l + 7 = -2*r. Suppose -r = -h + 1. Find the third derivative of 2*q**2 - 3*q**2 + q**4 - 3*q**4 - 4*q**h wrt q.\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -105.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 2601319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 1198 = 4*u + 1292, u - 3*c - 70 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 5:17 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (12 - (-22 - 0)) - 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914509734 to the power of 1\/3, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 = 3*f - 5*u, 3*f - 2*u + 72 = -3*f - f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -22*w - 86. Let k(u) = -7*u - 29. Let o(p) = -5*b(p) + 16*k(p). Let q be o(0). Let j be (-1)\/2*(-119)\/q. Which is greater: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0232 - 0.0354. What is m rounded to 3 dps?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-1712)\/8))\/((-1086)\/2172)\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**5\/7 - 98340*v**4\/7 - 7458536*v**3\/7 - 191240200*v**2\/7 - 1715692500*v\/7 - 1531812500\/7 = 0.\nAnswer: -24509, -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.6 (b) 1 (c) -2\/9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 3*a + 0*a + (2*a - 3 + 3)*(-1 + 0 + 3) - 3 + 3 + a + 14 - 47228*a + 23608*a + 23607*a to the form j + u*a and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -372578, -2.\nAnswer: -372578, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*c + 112588 = 0, 3*c + 2*c = 20. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163610 is divided by 842?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3762, 3553, 3390, 3273?\n\"Answer: 23*k**2 - 278*k + 4017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83044.55 years in millennia?\nAnswer: 83.04455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*b + 12*b + 56*b**2 - 365*b**2 - 56*b + b**2 - 2*b**2 - b**2 + (2*b + b - 5*b)*(-b + 2 - 2) + b**2 + 0*b**2 - 2*b**2 as i + n*b**2 + d*b and give n.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1722902306.\nAnswer: 2, 59, 131, 227, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(-49)\/98.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 4*z + 13. Is b(-7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15036*r**2 + 3925*r**2 + 3076*r**2 + 7548*r**2.\nAnswer: 29585*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.44 + -71.56. Let s = 4 - z. Let i = s - 77.333. What is i rounded to 2 decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s*s**(-12)\/s)\/s))\/s)**(1\/62) assuming s is positive.\nAnswer: s**(7\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**3 + 2*n**2 + 2*n. Let c(m) be the third derivative of m**6\/30 + m**5\/30 + m**4\/12 - 31*m**2. Determine 3*c(a) - 2*w(a).\nAnswer: 2*a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 0*f**2 + 37*f + 0 + 0*f**4 + 0*f**5 - 5\/2*f**3 + 0*f**6 + 5\/7*f**7. Find the second derivative of w(u) wrt u.\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 6*y + 9*y - 15*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/79? (a) -1\/3 (b) 0 (c) -0.2 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24577\/3 or -8193?\nAnswer: -8193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from www. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 976 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: Suppose 3*n + k - 754 = 0, k + 0 = -2. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -25. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 2*k + h - 6, -4*h + 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(0*j - 52 + 14*j - 12*j) to the form k*j + a and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -50*b**2 - 3*b + 3. Let m(c) be the second derivative of 3901*c**4\/12 + 235*c**3\/6 - 235*c**2\/2 - 2793*c. Determine 3*m(a) + 235*n(a).\nAnswer: -47*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 1 - 5*c**2 + 3*c**2)*(-2*c**3 - 4*c**3 - 3*c**3 - 3*c).\nAnswer: -18*c**5 - 15*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**4\/4 + 5*h**3\/3 + 3*h**2\/2 + 8*h - 3. Let n be o(6). Let q = n - -5. Let a(u) = u + 3. What is a(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyem when four letters picked without replacement from {j: 2, v: 2, m: 1, e: 7, y: 6}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 12*a - 55. Calculate m(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98 - -105) + 3 + -20 - (4 - 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -58*r + 33*r + 28*r + 112. What is the smallest common multiple of 20 and n(-14)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**7*k\/(k**(1\/2)\/k)*k*k\/k**(1\/5)*k*k**(-17\/4) assuming k is positive.\nAnswer: k**(-119\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 15) in base 16?\nAnswer: 1d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*a = 0, -37*h + 4 = -41*h + 4*a - 7*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -11*d + 1580. Calculate the lowest common multiple of d and 140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovokovkkkkokkkko. What is prob of sequence ovk?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136956 by 22826.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 349061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 627.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000101 (base 2) to base 8.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(-4 + 7 + 2)*(-4 + 4 + 6*h**5).\nAnswer: 60*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*z - 601116 - 18192 = 1180980. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*p - 249 - 375 = -170*p for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/3 + -29\/21. Determine k, given that -6\/7*k**3 - n*k + 0 + 8\/7*k**2 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 5.\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-396)\/(-3024) - (-1)\/(-8). Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 2*z**2 - 10*z + 88. What is d(0)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-1 - -3) + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -32, -9457*l + 9453*l - 20 = 4*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/14)*h**(-4)\/h)**(-1\/8)\/(h\/h**(6\/7)*(h**(-4)\/h)\/h*(h**1)**(-30)) assuming h is positive.\nAnswer: h**(4087\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((6\/9)\/(11\/99*24))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25252884 or -25252886?\nAnswer: -25252884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 145 and 7163?\nAnswer: 1038635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22835248 divided by -11417624.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c9c - -9?\nAnswer: -c93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*c - 32*c - 58*c to x*c + l and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 95*k**3 + 5*k**2 - 6*k + 3. Let p = 6 + 45. What is the remainder when b(1) is divided by p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**3 - 12 + 14*f**3 + 10 + 7.\nAnswer: f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 278*u + 66. Let z(k) = -k**2 + 101*k + 22. Determine -4*w(h) + 11*z(h).\nAnswer: -7*h**2 - h - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 10*p**3 + 600*p**2.\nAnswer: -p**2*(p - 30)*(p + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57694*b + 57675*b + 247 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 2*g - 3*g + (-3*g + 4*g - 3*g)*(-4 + 1 + 2))*(3*g + 3*g - 5*g) as f*g**2 + l*g + i and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -200, -169, -138, -107, -76?\n\"Answer: 31*l - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6217210 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-8)*u)\/(u\/(u\/(u**(3\/4)\/u)*u)))\/(u**(-1))**(-46) assuming u is positive.\nAnswer: u**(-207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1100935, 2201890, 3302845, 4403800, 5504755, 6605710?\nAnswer: 7706665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + (sqrt(18) - (sqrt(18) + sqrt(72)\/sqrt(4) + sqrt(18))*-6))\/sqrt(2))\/(-2*2*sqrt(3)*-2).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -84391 at least -1097101\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3\/(-12)) + (-54)\/24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 + 3*o + 3. Let b(q) = 6038*q**2 + 9*q + 9. Give 2*b(x) - 6*l(x).\nAnswer: 12058*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1436191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) 33 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*p**4 - 2*p**5 - 4 - p + 4*p**5 + 3 wrt p.\nAnswer: 40*p**3 - 264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45948732 divided by 1308.\nAnswer: -35129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 27594.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0037 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59859 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -13*w**3 + w**2\/2 + w + 8555. What is c(-1)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -111020?\nAnswer: -111030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -3 + 2)*3. Let n = 6 + f. Let k = 100.6 - 100.4. What is the nearest to 0.2 in 2\/7, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/106 and 34\/3?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009485 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 - 12444*m**2\/5 + 95152*m.\nAnswer: -2*m*(m - 38)*(m + 6260)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b**3 + 24*b**2 - 85*b + 103. Is w(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 6:51 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.43 (c) 0.149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 59862*t + 15444397. Determine b(-258).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = -3864 + 660. Let y = 270 + o. Solve -20 = -4*h - 4, -2*i - y*h + 10 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/45780 and 81\/140.\nAnswer: 45780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-27) + -2 + 2. Let t = 478\/27 - y. Find the common denominator of t and 6\/(-3) + (-82)\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hee when three letters picked without replacement from ehehhhhhehhhhhhhehe?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2187) - (sqrt(2187) + 0)) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273647925*u**3 + 61563820*u**2.\nAnswer: 1641887550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 149*x + 11. Let d be z(1). Suppose -r = 4*w - 2597, -5*w - 5*r = -d - 3105. What is the greatest common factor of 72 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - -3*sqrt(612)) + (-1*sqrt(1700))**2.\nAnswer: 19*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k**2 - k - 3. Let u be g(2). Let d = 35 - u. What is the least common multiple of 5 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzqizaptpp. Give prob of sequence pqtp.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/10*4*5. Suppose -6*m + i*m - d = 5, 3*d + 15 = -4*m. Suppose m = z - 5. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7605 minus -0.84729048?\nAnswer: -7604.15270952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35823 - 338?\nAnswer: 35474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 9 = -d, 5*d - 1 = -z - 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 4*c**2 + c + 1. Let z be m(7). Suppose z = 4*k - 233. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -258 - -257.9. Which is the closest to v? (a) -2\/11 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32013, 32015, 32017, 32019?\n\"Answer: 2*k + 32011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-13)\/78*6). Suppose 4 = -3*n + y, 0 = 3*y + 2 + 13. Let f be (i - -2)*(n - (-8 + 4)). Which is smaller: 8\/7 or f?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 154 = -4*f, -3*g - 3*f = -147. Suppose 4*w - g = -3*d, d + 2 = -3*w + 37. Let k = w - 5. What is the greatest common factor of 42 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - 48\/(-4) - 39\/9. Which is the nearest to -0.1? (a) -4\/9 (b) 1\/35 (c) v (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7 + 60*z + z**2 - 174*z + 65*z + 61*z. Determine d(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**5\/210 + g**4\/14 - 3*g**3\/7 + g**2 - 1. Let t(n) be the second derivative of d(n). Factor t(z).\nAnswer: -2*(z - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/84? (a) 0 (b) -2\/11 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/2*4*(-106)\/(-848)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5961148?\nAnswer: 2, 1490287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8. Suppose -2*n = 2*f + f + 2, p = f + 2. Factor 0 + 0*w + 2\/5*w**n.\nAnswer: 2*w**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75)\/(-2)*(816\/36)\/17. What is the second derivative of -p*c**5 + 476 - 88*c - 476 wrt c?\nAnswer: -1000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1231923 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5\/2 + 45*r**4\/2 + 75*r**3 + 110*r**2 + 60*r = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685061997.\nAnswer: 3, 83, 2751253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 8*o + 49. Calculate g(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158 - 166. Let t be -1 + 4 - (9 + i). Solve 5*f + 8 = 3*p - 0, -3*f = p + t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(-12 - 9 + 9)*(-2*m - m + 9*m) in the form h + s*m and give s.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*h = 28699985, 5*h + 10076886 - 153576871 = -5*r. What is r rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -559 divided by -43?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r**2 - 665*r + 109. Give s(51).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3052 = -z + 8*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - -40. Let h(x) = x + 1. Let p be h(-1). Suppose 2*g = -2*n - p*g + 38, -v = -2*n + 4*g. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3885 by -1295.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + 4*l**3 - 3*l**3 + (110*l - 110*l + 11*l**2)*(8*l + 29*l + 14*l) to d*l**3 + r + i*l**2 + v*l and give d.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 39 + 2*a + 4*a**2 + 40)*(9 - 5 + 22) to j*a + g + d*a**2 and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {c: 2, m: 2, n: 1, p: 1, z: 1, u: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 68, -4, 0.01, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8177 divided by 221?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 16 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 1934*m + 384520. What is c(-225)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvvg when four letters picked without replacement from {w: 3, v: 2, f: 1, i: 2, n: 4, g: 2}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, l: 3}. Give prob of picking 2 x.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321 divided by -13?\nAnswer: -3321\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4218 and 456?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/410858 and -73\/246?\nAnswer: 50535534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-65) - (-100)\/(-250)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-48)\/(-6) + (-1)\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7\/14)\/((-1)\/(-5*2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 3*c + 4*c)*(18 - 22 - 101).\nAnswer: 105*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 3)*(-2 + 0 + 0)*(0*f**2 + 4*f**2 - 2*f**2).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3 - 150152*u**2 + 9918488*u - 19236352 = 0 for u.\nAnswer: -75142, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4582727 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(-2 + 0 + sqrt(288) - (sqrt(288) + sqrt(288) + (sqrt(288) + -2)*3))*-2)**2.\nAnswer: -98304*sqrt(2) + 1183744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -3*i - 17*p - 11, p = -i - 1. Let y = 62 + -251\/4. Suppose -3 = k - 4*k. Which is the smallest value? (a) i (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9210922991137 - -0.14?\nAnswer: -9210922991136.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((45\/6)\/5)\/3. Let w = -0.1 + 0.04. Let o = w - 0.04. Sort -5, s, o in decreasing order.\nAnswer: s, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1087, 1078, 1069, 1060, 1051?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3026\/84 - 0\/2. Let c = t + -174\/7. What is the common denominator of 486\/(-80) - ((-4)\/(-2))\/(-10) and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 14569*c - 72844. Determine g(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21211220 (base 3) to base 14.\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/13)*t)\/(t**(-3\/20)*t) assuming t is positive.\nAnswer: t**(119\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 30 = -0*d. Let s = 6 - d. Which is the biggest value? (a) 0.2 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k + 3\/2*k**2 + 1\/2*k**3 + 0 + 1\/20*k**5 - 1\/4*k**4. Determine h(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16225?\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15515 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 20*x**2 + 21*x + 42. Let n be t(-19). Solve 0 = -3*w - 7 + n, -3*w + 5 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, h: 2, t: 7}. What is prob of sequence mt?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**7\/840 - g**6\/90 - g**5\/40 + g**4\/24 + g**3\/2 - 2*g. Let h(u) be the second derivative of w(u). Determine h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 14*k**2 - 19. Let z be w(-15). Let x = -79 + z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 + -1.96. Let h = o - -2.5. Let g(k) = -3*k**3 - k**2 - k. Let r be g(-1). Which is the closest to -1? (a) r (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times 12?\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240 + -168. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 8:00 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)*w)\/w)**(-38)\/(w**(15\/7)\/(w\/(w\/w**(-5\/3)))) assuming w is positive.\nAnswer: w**(3910\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.8 or 1?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -25466\nAnswer: 9\/12733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411731 is divided by 205819.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 3*d = -33*d + 171456. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171615701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(374) - (-1*sqrt(374) - sqrt(374))) + sqrt(374))\/sqrt(11))\/(sqrt(2) + (sqrt(6)*1)\/sqrt(3)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.021 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: c22 (base 15) to base 7\nAnswer: 10652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2*w**2 + 5)*(-396 + 16*w + 396)*(7*w - 4*w - w) to the form b*w + r*w**3 + z*w**2 + m + y*w**4 and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/6 and 95\/3836?\nAnswer: 11508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 13*t**2 - 18*t - 119. Let o(k) = 9*k**2 - 13*k - 79. Calculate 5*l(r) - 7*o(r).\nAnswer: 2*r**2 + r - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.1795 decades in months?\nAnswer: 11541.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1751 by -5489.\nAnswer: -1751\/5489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1987743 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-100))\/((-14)\/(-10))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**8\/336 - 797*j**7\/210 - 2621*j**4\/24 + 2*j**2 + 490. What is the second derivative of u(c) wrt c?\nAnswer: 20*c**3 - 9564*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 110*k**2 + k + 1202. Let v(r) = -56*r**2 - 601. Let z(j) = -7*v(j) - 3*w(j). What is the derivative of z(q) wrt q?\nAnswer: 124*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 6*h**2 - 6*h + 17. Let k be l(-5). Let s(b) = 4 + 14 - k. Let u(a) = 0*a + 2*a - a + 1. Determine s(p) + 2*u(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 40 = 4*p, 0 = -p + 3*g + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -4, 1\/7, 0.109?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*a - 12 = -153*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.56754 millennia in years?\nAnswer: 43567.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**4 + 70*b**3 + 265*b**2 + 380*b + 180 = 0 for b.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 2 - 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Which is the smallest value? (a) -5\/4 (b) 4 (c) 0 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:49 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/25, 0, -260, 24\/19?\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28, -77, -136, -211, -308?\n\"Answer: -n**3 + n**2 - 45*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26322 + 45763. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42355023.\nAnswer: 3, 14118341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*b - 284 = 0, 187*y = 190*y + b - 422. What is the least common multiple of y and 728?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28649000 rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10148*a + 3 - 3 + 1506*a**3 - 11007*a wrt a?\nAnswer: 9036*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1748*u + 38395 = -0*u + 543*u - 172377 for u.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -32*z**3 + z**2 - 4. Let m(p) = -80*p**3 + 3*p**2 - p - 11. Calculate -11*d(j) + 4*m(j).\nAnswer: 32*j**3 + j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l + 42*l - 18*l + 1.\nAnswer: 7*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1028)\/(-2570))\/((-6)\/(-5))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*h + 3*h. Suppose -4*n + 2*n = h. Sort -0.3, n, -3\/5.\nAnswer: n, -3\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2340*n - 8691*n - 6291*n)*(2*n - 4 + 4) to p*n + b + k*n**2 and give k.\nAnswer: -34644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 438.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-20) - 34\/(-60))*18. Solve 16 = 11*v - y*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -589.7 and -605?\nAnswer: 356768.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/52*(-33)\/(-2) + (99 - 88).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -10.79\nAnswer: -0.2158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 5, m: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-288)\/(-60) - 3\/(-15). Let k = 2 + -2. Suppose k = 4*u - 4*i - 20, u - h*i = 2*u - 17. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4)*(s - 6*s + 15*s - 9).\nAnswer: -30*s + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*v + 31*v - 751*v - 285*v = 29916 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45496\/3384 + 13*-1. Let c(l) be the third derivative of 0*l - 1\/12*l**4 - f*l**3 + 1\/90*l**5 + 28*l**2 + 0. Determine o, given that c(o) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -109\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/300*(-12)\/(1*-3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79754194463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 1128*g + 1128*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**4\/4 - 31*y**3\/3 + 33*y**2\/2 + 36*y - 10542. Determine q(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5412 and 92251148?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -408176?\nAnswer: -40817.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -584, 1, 5 in ascending order.\nAnswer: -584, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21634 is divided by 1333?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 1:03 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4)*6*76. Let l be (-4)\/(-10) + h\/90. What is the second smallest value in l, -0.4, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13*i)\/(i\/i**(-1)) assuming i is positive.\nAnswer: i**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -168 - 93. Let m = a - -272. What is the remainder when 120 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1334429 - -1334429.1000023. Let b = l + -0.1. Round b to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b3 (base 12) to base 4.\nAnswer: 33213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4.27. Let q = t - 1.03. Sort -0.4, -4, q in increasing order.\nAnswer: -4, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 42\/5 of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149\/40 + 25\/8. What is the closest to -0.1 in 0.2, -0.5, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*y - 3*y - 19*y.\nAnswer: 64*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 176, 317, 496, 713, 968, 1261?\nAnswer: 1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.5 (c) 3\/541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -51053\/25250?\nAnswer: -51053\/25250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 620 (b) -12 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a. What are the prime factors of (-2 + a)*(-68)\/8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 + 11*z**2 + 201 + 0*z**2 - 364 + 3*z**2.\nAnswer: 14*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.44 - -36.66. Let f = q - 36. Round f to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 830, 867, 950, 1097, 1326, 1655, 2102, 2685?\n\"Answer: 3*q**3 + 5*q**2 + q + 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/2 - 29*n - 60 = 0. Calculate n.\nAnswer: -2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2210.16 + -1.03\nAnswer: 2209.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7443195 and 1010?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 + 4*t**2 + 2*t + 4. Let f(g) = g**3 - g**2 + g - 1. Give -a(x) - 4*f(x).\nAnswer: -2*x**3 - 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 22*j**2 - 34. Let b(h) = -3*h**2 - 39*h + 6. Let a be b(-13). Let i(y) = 2*y**2 - 3. Calculate a*d(c) - 68*i(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6656 is divided by 950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 17.8. Let w = 0.2 + 0.3. Put -4\/5, w, x in increasing order.\nAnswer: -4\/5, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 413*o. Let y(w) = -449*w. Calculate v(y(c)).\nAnswer: -185437*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 = -3*i, 0*i = 4*x - 2*i + 8. Let m = 0.000403 + -0.400403. Which is the second biggest value? (a) x (b) 6 (c) -1.5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, q: 5}. Give prob of picking 1 t and 2 q.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 297 + d?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 36*n**3 - 3896*n**2 + 864*n = 0.\nAnswer: 0, 2\/9, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/8 + 3\/12. Suppose -q + 32 = 4*k, 3*q - 4*k = m*q - 48. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1588248 and 157\/175446.\nAnswer: 30176712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.11849 rounded to the nearest integer?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53323?\nAnswer: 53323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2 + 309988*h + 929946 = 0.\nAnswer: -154991, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50148*v - 49989*v = -5565 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 7 + 2 + 10*i**2 + 0*i**2.\nAnswer: 10*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i + 20. Let y be d(14). What is the second derivative of -y*f - f**2 - 507 + 507 - 8*f**3 wrt f?\nAnswer: -48*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4, 3*z + 5*k = 2*z - 18. Solve -5 = z*l - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 12:39 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -117660971 to the nearest 1000000.\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1190.81097 nanoseconds to days.\nAnswer: 0.000000000013782534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 - -123.9. Put a, 34, 4 in decreasing order.\nAnswer: 34, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221985 to the power of 1\/2, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10886 + -13360. Is o greater than -2472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55972011 is divided by 363?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*m = 0, -w + 27 = -5*w - m. Let u(l) = -l - 4. Let x be u(w). Solve -4 = z - x*t, 4*z - 2*t - 1 = 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 3*y**2 + 2*y + 3. Determine z(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(4\/(24\/9)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 67.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*z + 55 = 0, 3*b = 2*z + 18 + 22. Let r = b + -7. Suppose 6*s = r*s + 24. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 1647218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-1) - 5)\/(-3). Factor 1\/4*v**2 + o + 1\/4*v.\nAnswer: v*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4004*a = 212*a - 3854*a + 841060 for a.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6418827038 to the nearest integer?\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -15 - (-1 + -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 219990420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229 + -230.052. Let a = p + 0.444. What is a rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -3b2?\nAnswer: -3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15895 and 478720.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**4 - 16*f**3 + f**2 + 206*f.\nAnswer: 120*f - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n\/n**(-1))\/n)*n**(-1\/3))\/(n**(-6)\/(n\/(n\/n**(6\/7)*n*n))))**(-40) assuming n is positive.\nAnswer: n**(-2960\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -32. Let v(u) = -2*u**3 - 106*u**2 + u + 57. Let o be v(-53). Solve -w + o = a + 1, -w - 5*a + 11 = i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98153*p = 98047*p + 6784 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, 5, 286, -8, 26, 2 in increasing order.\nAnswer: -11, -8, 1, 2, 5, 26, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (-5 - 14) - -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -21, 4 in decreasing order.\nAnswer: 4, -13, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 5 (c) 2 (d) 6 (e) 86\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -72, -165, -320, -537, -816, -1157?\n\"Answer: -31*t**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59283 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -263 - -280. Let s(w) = -253*w**2 - 18*w + 23. Let i be s(p). Round i to the nearest 1000.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103618 - -4041068\/39. What is the common denominator of (-185)\/(-63) - (3 - 1) and u?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 + (-6)\/21. Suppose t + 5 = -4*b, 0 = -5*b - 3*t + 1 - 9. Do h and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4\/3 (c) 3 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855*p**2 - 429*p**2 - 238*p**2.\nAnswer: 188*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834712.\nAnswer: 2, 103, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 2133329.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -4 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -814 or -815?\nAnswer: -815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-4*72)\/(-3) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -1 - (53 + -18 - 24 - 27)) + 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = u + 4*u, 3*j - 25 = 5*u. Let s(c) = -c**2 + 4*c + 6. Let y be s(j). Solve -3*p - 10 + y = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35454 - 35342. What is the remainder when 1349 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from dgcobbgol?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 6*i - 5. Suppose 0*k = 2*k + 8. Calculate q(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 8. Let q be 6*(1 - 1\/i). Solve 4 = -u + q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-4)\/((-8)\/(-26)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/((-1)\/6). Let q = h + 11. Solve 4*m - q = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -6. Let u be (-13)\/((-26)\/g)*(0 - -1). Let q be -2*(-1 - -3)\/(-1). Calculate the highest common divisor of q and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 - 2*z - 2. Let g(i) = 3*i**2 + 0 - i + 2 - 4. Determine -3*g(o) + 2*q(o).\nAnswer: -o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-50)\/18 + 3)*228\/(-44) and 20\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 2)*(0 + 2*m + 0)*(0*m + 6*m - 52*m) to the form k*m + p*m**2 + o and give p.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (57\/30 + -2)\/1*((6 - 17) + 77)\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 + -5.05. Which is the smallest value? (a) k (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248 - 245. What is the closest to s in -5, 5, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - 0.23. Let s be (-8)\/5 + (-4)\/(-2). Which is the nearest to s? (a) 3\/2 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1980 = 169*r - 37*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**3\/4 - 1289*p**2\/2 + 465071*p\/4 - 459919\/2 = 0.\nAnswer: 2, 193, 2383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, 1\/5, 0.8?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 118 = -3*o. Let b = 181 - 309. Let n = 98 + b. Does o = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7126 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 at least 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/2)\/((-21)\/2)*418\/627.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 10*u**2 - 23*u - 12.\nAnswer: (u - 12)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3101*d**2*n**2 + 681903*d**2 + 7*d*n**2 - 4*n**2 with respect to n.\nAnswer: 6202*d**2*n + 14*d*n - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 - 2*q + 721. Let y be b(0). What is the greatest common divisor of y and 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.019528um in millimeters?\nAnswer: 0.005019528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-16) - (-1)\/4. Let a be ((-1275)\/1020)\/(15\/36). Sort -4, t, 7, a in descending order.\nAnswer: 7, t, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 2:09 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/7, 23, -3, -0.2, -2.89, 0.5, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2676223 * -0.3\nAnswer: 802866.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -92\/77055 and -71\/46233.\nAnswer: 231165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = m - 3*m - 39, -5*m = -15. Let o(x) = -x**3 - 24*x**2 + 23*x - 47. Let p be o(-25). Solve p*q - 5*b + z = 6*q, q - 3*b = -9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6245 and 23563634?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - -1. Put -1\/7, j, -4 in decreasing order.\nAnswer: -1\/7, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*k - 31, 3*o - 32 = -5*k + 5. Suppose x + 5*s - 14 = 0, 68*s - 12 = -3*x + 63*s. Sort x, -4, o in increasing order.\nAnswer: -4, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l**2 - 3 + 4 - 5*l**2 to the form u*l**2 + z + k*l and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.4. Let u = 0.5 - i. Let a = u + -0.4. Sort -2\/11, 1, a in descending order.\nAnswer: 1, a, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -21*g - 635. Let l be i(-30). Which is the nearest to l? (a) -1\/2 (b) -3 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 453, 5, 10930, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 - -80) + 65 + -153?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111519130 + 3\nAnswer: -111519127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-2) - -1)*20\/(-12). Let f = -1.1 + 0.1. Put -5, f, b in descending order.\nAnswer: b, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19146845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 14 = -d, -3*i + d + 10 = -0*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-49))\/(132\/(-56))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huuhuuhuuuhuuuhuuuu. Give prob of picking 2 h.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 1:44 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**15*k)\/k)\/k**25 assuming k is positive.\nAnswer: k**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = s - 6. Let x(o) = o + s - 3 - 3 + 3 + o**2. Let m be x(3). Solve 9*k + m = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p - 11096 - 5592. Let d = p - 1045. Let r = -31\/92 - -2\/23. What is the second smallest value in -3, r, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**2 + 179968*o + 4501700 = 0?\nAnswer: -25, 45017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-6)*9\/5. Let t(i) = i**2 - 9*i + 8. Let l be t(r). Let k be (-20)\/(-9) - l\/(-45). Calculate the greatest common divisor of k and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 4. Let h be (-2)\/(-4)*6\/9*3. Let g be d(h). Suppose 3*i = 5*r - 10, 11 = 3*r - g*i - 1. Which is the closest to r? (a) -0.04 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 11)*(2*n**3 + 2*n**3 + 916 - 915) + 4*n**3 - 3*n**3 + n**3 + (2*n + 0*n + 0*n)*(n**2 + 2*n**2 - 2*n**2).\nAnswer: 60*n**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -449*x - 471*x + 904*x + 759104. What is the ten thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 8:33 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/6)\/o*o*o*o**(-9)\/o)**(-3\/5) assuming o is positive.\nAnswer: o**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 6*q + 51*q - 78. Solve -9 = 3*d - 4*y, -2*d - q = -y - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 373, 1340, 2911?\n\"Answer: 302*d**2 - 543*d + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -499\/2 - -265. Find the common denominator of j and -121\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010 - 10101110010111100111000?\nAnswer: -10101110010111011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11706 - -11721. What is the remainder when 1062 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-103 + 51 - -102) + -46?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:42 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 6 = 0. Let m(g) = -31*g**d + 13*g**2 + 16*g**2. Let s(n) = -13*n**2. Determine m(s(l)).\nAnswer: -338*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(7*x - 4*x + 6*x)*(11*x - 6*x + 2*x) in the form k + u*x + b*x**2 and give b.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - b**2 - 2*b - 3. Let v be n(5). Suppose -d + 4*d + 2*f = 258, d - v = -f. Calculate the greatest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 302919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c**2 + 1. Determine y(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*s + 446 = -s, 2*s = -4*c + 348. Suppose 0 = -5*l + c - 218. Let w = 121 + l. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -10730?\nAnswer: -10735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1110 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q - 3 = -s, -s + 4 = -2*q. Let m be (6\/(-4))\/(q\/2). Solve 1 = m*c - 4*y - 10, 0 = 2*c - y + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*x = -87*x - 336. Find the second derivative of -u**5 + 14 + 3*u - u - x*u**4 - 5*u wrt u.\nAnswer: -20*u**3 - 672*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 18*u + 4. Let s = 1 + 8. Is v(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 1. Let n be h(-6). Let y = 1 + n. Let t = 10 - y. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -4*j - 0*j. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -20 + 6 + 32 + (-2 - 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 10, -0.13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -272 + 829. Does 74 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(108) + -5)*-1 + -1)*-5.\nAnswer: -180*sqrt(3) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 380 = 4*n. Let h = n + 147. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 21 + -43 - -8 - -74\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92 - 43?\nAnswer: -42.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977 - 11867 = -11*w. Suppose 0 = 12*x - w - 246. Let r = 39 - 18. Calculate the remainder when x is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + l + 7. Let n be q(-2). Calculate the remainder when -1*744\/(-48)*(n + 5) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventeen quarters of a millisecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*7\/(-105)*(7 - (-5823)\/(-828)).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 214. Let f = -104 + 122. What is the remainder when n is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -a - 15264, 0 = -5*t + 5*a - 6*a + 19089. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.032 - 8. Let v = 19 + w. Let c = -0.03142 - v. Round c to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4*h - 13 = 0, 5710 = -2*q + 5*h + 5669 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(8004\/54)*32\/(-48)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*d + 16 = -10*d, 4*d + 14 = -m. Suppose 1 = x - 2. Factor 13*r**x - 12*r**3 + m*r - 2*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*c - 3 - 0, 4*x - c = 7. Let g = x + 11. Solve -k = -5*z + z - 8, k = -3*z - g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 5*w - 31, 19 = 5*w - x. Suppose -i = w*i - 580. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**5\/60 - x**4\/6 + 4*x**3\/3 + x**2. Let q be (-10 - -3)*((-6)\/(-7) - 0). Give s(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10198 = -54*j - 17126. Which is smaller: -504 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*w - 88, -41*b + 36*b + 5*w - 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-8) + (-6)\/(-4). Suppose -h + 2 = -i. Suppose 6*b = -h*s + b - 7, -b = -s + 7. Calculate the remainder when 14 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10330231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/19 + (-612)\/(-646) + 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtp when three letters picked without replacement from ptttpjtjtjtjp?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2\/5 + 97008*i - 11147985 = 0. Calculate i.\nAnswer: 115, 161565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20\/7? (a) 6\/5 (b) 1 (c) 0.0281 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10560 = -582*u - 1351*u - 95755 for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2085.6 - 2081.6. Let o be (1\/15)\/(4\/6). Which is the second smallest value? (a) 0 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**2 - k - 2. Let l = 25 + -21. Suppose 3*p + 18 = l*o, o + 4 = -5*p - o. Give u(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10881*a**5*c**3 - 5226*a**2*c**3 + 1515*a*c**3 + 77352*c**3 wrt a?\nAnswer: 217620*a**3*c**3 - 10452*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 625124*a**4 - 10*a**3*i - 82*a**2*i + 12508*a**2 + 2*a*i wrt a.\nAnswer: 15002976*a - 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4557.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -35*h**3 - h + 1. Let z be c(1). Let y = -22 - z. Let t = y + -6. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422154104 (base 6) to base 7\nAnswer: 116533612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 73? (a) -6 (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(195\/(-240)) - (-1 - -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1476 + 15069*f**4 - 8089*f**4 - 7782*f**4 wrt f.\nAnswer: -3208*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*t + 103932 = -12834. Is -3 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {o: 1, d: 3, p: 4, k: 1, f: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34496324 divided by 907798.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 456150\/97 >= 4704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p + 63*p = 2*q + 15, 4*q = p - 17. Solve -p*n + 5*n - 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1858.4663 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07709725 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1 - (-28)\/1. Let y = -6 + h. Let m be (-2 + -1)*7\/y. Let t(a) = 3*a**3 - a**2 - 2*a - 1. What is t(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 598*f**2 - 7460*f - 1035. Determine r(311).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4757667 (base 8) in base 14?\nAnswer: 25c927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12) - (-2)\/((-56)\/21). Let y(o) = -3*o**2 - 5*o - 6. What is y(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (672\/35)\/(-2 - 2128\/(-1060))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153998.81768+5\nAnswer: 154003.81768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20550, 40963, 61238, 81375, 101374, 121235?\nAnswer: 140958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l**3 - 31*l**2 + 22*l - 25. Let d(b) = 5*b**3 - 16*b**2 + 11*b - 13. Let r(c) = -11*d(c) + 6*x(c). What is the units digit of r(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 199 = -6*f. Suppose -f*a = -33*a - 24550. Round a to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4103 (base 5) to base 12\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 - -92.9. Let l = i + -8.9. Which is the third smallest value? (a) l (b) 2\/7 (c) 5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t + 49*t + 75 - 64.\nAnswer: 34*t + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4478034 is divided by 347?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -16666.27901 to the nearest 10.\nAnswer: -16670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 4*d - 4*d)*(-3 - 5 + 1)*(-7 + 2 + 0).\nAnswer: -35*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = n - 22, -p + 6*p - 168537*n = -168541*n + 115 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2303709*m + 34555634. Determine v(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*k**3 - 448\/9*k - 58\/9*k**2 - 392\/9.\nAnswer: -2*(k + 1)*(k + 14)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 905 and 37215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12470*c**3 - 11547*c**3 + 2*c**2 - 5*c**2 + 3*c**2.\nAnswer: 923*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 38 = 15. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 6:24 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 722 (c) -5 (d) -213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.1 and -39.\nAnswer: 705.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9897 + 386021\/39. What is the common denominator of z and 71\/26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6349*t**2 - 5. Let y(v) = 930128*v**2 - 732. What is -732*l(o) + 5*y(o)?\nAnswer: 3172*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 19*y + 111. Let x be z(-13). Suppose x = 4*c - 5*h - 51, c = 3*h + 21. Solve -c = -4*s - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -108. Solve 2*a + 4 = 0, -2*k = -5*k - 5*a - j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 202870.27 to the nearest ten.\nAnswer: 202870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cjxxxxxcxcjc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-64))\/((-2)\/(-16)). Let j be 0*(1 + m)\/6. Solve -v - 2*p - 7 = 0, 3*v + j*v + 5*p + 18 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nineteen quarters of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 747*v + 114827. Determine w(213).\nAnswer: 1085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**3 - 16*m**2 - 10*m - 67. Let q(c) = -14*c**3 + 63*c**2 + 35*c + 272. Let x(r) = -9*k(r) - 2*q(r). What is x(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (-3 - -2))*(-56 + -2). Suppose 0 = 113*a - l*a + 1497. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 6*i**2 - i**2)*((0*i - 2*i + i)*(-3 - 2 + 3) - i + 0*i + 2*i).\nAnswer: -27*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 4, -14, -32?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 286761313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 4, z: 14}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5140.06 weeks to days.\nAnswer: 35980.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 52. Let t(u) = -9*u - 137. Let z(o) = 11*n(o) - 4*t(o). Determine z(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 + (-89 - 43) + -44?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.54, 2\/13, -5\/192, -1504 in increasing order.\nAnswer: -1504, -0.54, -5\/192, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127229521?\nAnswer: 11, 127, 806893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -11*x + 14. Let c(a) = 7*a**3 + 2*a**2 - 3*a. Let h(n) = -7*n**3 - 2*n**2 + 4*n. Give x*c(b) + 3*h(b).\nAnswer: 7*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650159073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 l when four letters picked without replacement from lllllllllllmlmlllll.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1009, -2152, -3295, -4438, -5581, -6724?\nAnswer: -7867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/19, 0, -259, -3, -1.\nAnswer: -259, -3, -1, 0, 2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62378*y**2 + 51225*y**2 + 27295*y**2 - 31641*y**2.\nAnswer: 109257*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 563795129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 1 = z + 5 - 12, -z + 2 = g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in millimeters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199350202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 12. What is i(-7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k + 1. Let z be j(-1). Suppose 5*w + 8 = 3*h - 6, -z*h - 18 = 2*w. Let n be (-101)\/(-4) + 1\/w. Round n to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + 3 + sqrt(637) + 5.\nAnswer: 8 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 397*c - 23 = -392*c, 3*b + 2*c - 82 = 0. What is the least common multiple of 192 and b?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -32 and -1.56.\nAnswer: -33.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2669*b - 993. What is the hundreds digit of j(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {d: 2, i: 1, m: 1, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23560170?\nAnswer: 2, 3, 5, 79, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18\/1741 + -626969\/821752. Let n = t + -6\/59. Let z = -14\/347 - 33603\/1388. Calculate the common denominator of n and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3048 + -3048. Let b(n) be the third derivative of 1\/12*n**4 - 15*n**2 - 2\/3*n**3 + 0*n + h. What is b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15e3a - -240?\nAnswer: -15bfa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -63*l**3 - 2*l**2 - 1. Let o be p(-2). Let u be (-2)\/(-2)*o\/11. Let b be (-5300)\/u - (-6)\/(-27). Round b to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.2 + 21.3. Let v = 34 + -39. Which is the nearest to m? (a) 0.2 (b) v (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 19. Suppose y - 5*y + 136 = -5*i, 2*y = -i - 16. Let f = i + 16. What is the remainder when 43 is divided by g(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 - 1500*q**2 - 104625*q + 1201250 = 0. What is q?\nAnswer: -155, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.1 times 0.07?\nAnswer: 16.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 74 - 12 - 27 + 2756*r to the form h + w*r and give w.\nAnswer: 2756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 - (-124)\/8)*88\/(-50). What is the smallest value in 0.002, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22254*d + 22289*d + 338 - 1423 = 0 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1631 + 1632. Sort 1\/7, z, -66 in ascending order.\nAnswer: -66, 1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 7.191.\nAnswer: -5.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2222, -2280, -2348, -2426?\n\"Answer: -5*u**2 - 43*u - 2174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + ((-10 - (-1 + -6)) + 10 - 5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 517, 2066, 4657, 8296, 12989, 18742?\n\"Answer: p**3 + 515*p**2 - 3*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 4358*o**3 - 3*o + o.\nAnswer: -4358*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**7\/840 - z**6\/120 + z**5\/60 + z**4\/8 - 70*z**3\/3 + 42. Let h(k) be the third derivative of w(k). Give h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*w**2 - 52 + 42 + 0*w**2 in the form s + x*w + r*w**2 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5515082 meters to millimeters.\nAnswer: 551.5082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018199027 to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 17 = -5*a, -3*a + c + 12 - 1 = 0. Calculate the smallest common multiple of 7 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.42 + 3.419692. What is m rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -280 + 34*b**2 + 12*b**2 + 293 - 9*b**2 wrt b.\nAnswer: 74*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*m - 15 = 0, -w - 23*m + 25*m - 6 = 0. Suppose -r - 4 = -2*r. Suppose -10 = -r*n - n. Which is the closest to -0.1? (a) n (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7795.9 times 0.1\nAnswer: -779.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 times -16?\nAnswer: 7.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*c + 1 - 52*c**3 + 118*c**3 - 8*c - 4*c**2 + 51*c**3.\nAnswer: 117*c**3 - 4*c**2 - 94*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13\/3, -6\/1721, 1\/8, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*t = -100 - 372, -4*t + 16 = 0. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, y: 2, r: 5, a: 1}. Give prob of picking 1 a, 2 r, and 1 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0 + 6 = 0. Find the third derivative of 2*p**2 + 3*p**3 - 5*p**v + 1 - 1 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (174 + -115 + 28)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1008 and 171584?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-3 + 2 + 0*q + 2*q)*(26 - 26 + 15*q**4).\nAnswer: 60*q**5 - 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -13*j + 3. Let c(f) = -6*f + 1. Let u be (-6 + 11)*(1 - 0). Let i(s) = u*c(s) - 2*w(s). Find the first derivative of i(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -772, -2343, -5570, -11281, -20304?\nAnswer: -33467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*k + 35561 = 33833 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -266 + 618. Suppose -63*f = -61*f - u. Suppose -r + 5*q = -1859 + f, 4*q + 1685 = r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17168 - 17167.72194. Let u = p + 107.82394. Let b = 108 - u. What is b rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-75)*119\/(145656\/1080)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 - (-16875)\/(-36). Let c be p\/(-3) - 4\/(-6). Let v = 150 + c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 = q - 10, -3*a = -q + 11. Let w = q - 9. Let k(s) = -4*s**2 + 11*s + 16. Let r(l) = l**2 - 3*l - 4. Let h(i) = 2*k(i) + 9*r(i). Give h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/(-6))*162\/36. Let w be 3 - 4 - 35*v. Suppose -2*t = 6*t - w. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2. Let n(o) = 3*o**2 + 1576*o - 52. Give n(w(z)).\nAnswer: 3*z**4 - 1576*z**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*t - 65, -u + 3*u - 4*t = 26. Let l = u + 5. What is the remainder when 34 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**26*t**(-5\/3)*t**(-10\/3)*t**(-8\/7)*t assuming t is positive.\nAnswer: t**(-211\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 20*v**2 + 8*v**2 - 2 as h*v + k*v**2 + w and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eleqlehlgeeqqeq. Give prob of sequence ll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15412*g + 983 - 33754*g - 983 + 447*g.\nAnswer: -48719*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 59, 118, 201, 308, 439?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006472 rounded to seven dps?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 609010023 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(684)*1)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3355002 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + m**4)*(-1 - 4 + 2)*(-19 + 46 - 19).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/26664 and 137\/123624.\nAnswer: 1359864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 418759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 120*n - n**2 + 120*n)*(-2*n**2 - 6 + 6).\nAnswer: 2*n**4 + 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*a**2*r**2 + 358*a*r**2 + 118404*r**2 wrt a.\nAnswer: -130*a*r**2 + 358*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 35*h - 18. Let v be w(-18). Solve 0 = 4*z - v*z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21710 + -21548.29. Let g = 161 - c. What is g rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*h**3*i**4 + 12*h**3*i**2 + 206*h**3 with respect to i.\nAnswer: 28*h**3*i**3 + 24*h**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*2)\/sqrt(3).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 96.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7061 is divided by 79?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2160 by 61.\nAnswer: 2160\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-18) - 17\/(-153).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.7826 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4290?\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4) + (-7474)\/(-2424))*24\/(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1. Let u be (-34)\/(-30) + (-6)\/45. Let h(d) = 2*d - 2. Let j = -13 - -9. Let r = -9 - j. Determine r*s(w) + u*h(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43863*3.\nAnswer: 131589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 6. Let t be (-10)\/(-3)*b\/(-8). Let z = 6.4 + -6. Put z, t, 0.1 in increasing order.\nAnswer: 0.1, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4230049?\nAnswer: 479, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10377 by 2.\nAnswer: 10377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 0*n**5 + 2*n**5 + (-n**2 + n**2 + 4*n**3)*(-n**2 + 0*n**2 + 4*n**2) + (-n + 2*n + 0*n)*(0*n**4 + 2*n**4 - 4*n**4).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 9*k + 9. What is the units digit of v(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -1. Let z be (1 + f)*22\/(-11). Let c = z - -11. What is the remainder when c is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121.3905 meters to centimeters.\nAnswer: 12139.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28\/29 + 547\/116. Factor -g*n - 3\/2 - 3*n**2 - 3\/4*n**3.\nAnswer: -3*(n + 1)**2*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132146487.\nAnswer: 3, 11, 1334813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5829 + 5829 + 158*o)*(0 + 1 - 2)*(7*o**2 - 6*o**2 + 2*o**2) to the form q*o**2 + m*o + x*o**3 + f and give x.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4692*c + 1713*c + 1278*c - 5923*c - 5857*c.\nAnswer: -13481*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*k**2 + 16 + 4*k - 38*k**2 - 38*k**2.\nAnswer: -2*k**2 + 4*k + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36906950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-760)\/14 - (-12)\/42. Let x be (-39)\/v + 2\/12. Factor 2\/9*k**4 - 2\/3*k**2 + 8\/9 - x*k + 4\/9*k**3.\nAnswer: 2*(k - 1)**2*(k + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4816 + -816. Round n to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 1\/3*s**3 + 2*s**2 + 0*s**5 - 1\/60*s**6 + 0*s + 0*s**4 + 0. What is the first derivative of w(h) wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41382, 41543, 41812, 42189?\n\"Answer: 54*l**2 - l + 41329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 3. Let w be -1*1 - (-1)\/(-1). Let u be v(w). Suppose 2*r + 1 + 1 = -2*m, 14 = -u*m + 4*r. Let p(f) = -f**3 + 2. Determine p(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + (((sqrt(612)*1)\/sqrt(12) - (sqrt(3264)*2 - sqrt(3264)))\/((sqrt(72)\/(sqrt(6) + 1*sqrt(6)))\/sqrt(4)))**2.\nAnswer: 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Express 216*g**2 + 3 + 0 - g**3 + 7*g**3 - 2 - 8*g**3 in the form c*g**2 + x*g + a + s*g**3 and give c.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 2*l = 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 21940*o**2 + 21945*o.\nAnswer: -5*o*(o - 1)*(o + 4389)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 + 48*z**2 - 8*z + 54. Give v(-24).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3\/5, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148*t**2 + 321072*t + 130140.\nAnswer: 4*(t + 2169)*(37*t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - 5*j + 3*j - 2*j + 4 - 4 + (-2 + 2 + 2*j)*(-3 + 7 - 2) + j - j + j - j - 3*j + 2*j + (-j - 2*j + j)*(-2 + 5 - 5).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 5*i**2 - i - 3. Let u be n(5). Let x = u + 8. Let f = -3 + 7. Solve -f*t - 2 - 6 = x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15326 and 1067.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*5\/75 - (-88)\/(-15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 + 86.997. Let s = -0.837 + g. Round s to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35.9 - 36. Let d = 0.1 - l. Which is the third biggest value? (a) -0.2 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**4\/4 - 11*y**3\/6 + 3*y**2. What is the units digit of n(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - -7. Let o = m - 39. Calculate the lowest common multiple of o and 14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -683*a**5\/10 - a**4\/6 - 543*a**3\/2 - 1222*a. Find the second derivative of u(i) wrt i.\nAnswer: -8196*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - b?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117181 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 53. Suppose 6*t - d + 5 = t, 0 = 2*t + 5*d + s. Let m be (t - 244\/(-8))*-60. Round m to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**20\/m**(2\/7)*(m**(-5)*m)\/(m*m*m\/(m*m\/(m\/((m*m*(m*m**10*m)\/m*m)\/m)))*m*m))**33 assuming m is positive.\nAnswer: m**(5709\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*1\/(-8))\/(3\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/4128 and -131\/12.\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (852093\/(-66))\/(1\/4). Let g = -3253534\/63 - s. Calculate the common denominator of -35\/18 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/2)\/((-1)\/(-1)). Suppose 0 = -2*p + 2*b + 4, 3*b + 5 = 5*p - 3. Sort h, p, 0 in increasing order.\nAnswer: h, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*f - 24. Solve -f*p + 0*p + 16 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 276.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3636, 8, -5 in descending order.\nAnswer: 3636, 8, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12094972?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 2 - 10*x**2 + 9*x + 6*x**3 - 3*x**3. Let r be g(9). Sort 6, 0, r in descending order.\nAnswer: 6, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/5 and -3\/790.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Suppose 3*g + 5 = -4. Let u(l) = -l. What is the remainder when u(g) is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 + (0 - 378\/35). Put k, 3, 15\/2, -0.2 in descending order.\nAnswer: 15\/2, 3, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 154.899925 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 1069983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80555635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 80, 108, 132?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, 32, 87, 142, 197?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -261599 + 261602. Let 9\/2*x**q - 2*x + 3*x**2 + 0 + 5\/4*x**4 = 0. What is x?\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76492689 divided by 309687\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(85) - (sqrt(85) - (sqrt(85) + sqrt(85)*-1 + sqrt(85) + sqrt(85))))\/sqrt(5) + -1.\nAnswer: -6*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/30 - 7*k**5\/15 + 2*k**4 + 9*k**2. Factor u(o).\nAnswer: 4*o*(o - 4)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004538 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**5 - 385*q**4 + 755*q**3 - 375*q**2 = 0.\nAnswer: 0, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6588 at most -413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*o + 21, k = -3*k - 4*o + 20. Calculate the common denominator of ((-6)\/(-24) + 2)\/(1\/(-18)) and (k - 1) + (-141)\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -1 (c) 0.4 (d) -81\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*-3*15\/9. Let a = 27 - l. Let i = 20 - a. Solve -3*x = r + x + 7, -x - i = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6411.00553 + -6411. What is r rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6483584\/7*u**3 - 7992\/7*u - 394272\/7*u**2 - 54\/7 = 0. What is u?\nAnswer: -3\/148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f - 5. Let i(w) = -44*w - 90. Let a be i(-2). Let r(x) = -x + 1. What is a*l(y) - 11*r(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -20*r + 8. Let h(w) = 7*w - 3. Suppose -4*k = k - 40. Let p be 5\/(-20) - (0 + (-66)\/k). Let u(g) = p*h(g) + 3*j(g). Let a(z) = 2*z. What is a(u(o))?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 9:26 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**2 + 5*q - 5. Let a be 1*(466\/2 - -4). Suppose -a + 255 = 6*b. Let x(w) = -2*w**2 + 3*w - 3. Calculate b*t(f) - 5*x(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000177789 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 3\/7 (b) -2\/13 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1206626 and -29\/262310.\nAnswer: 6033130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - d - 147 = -j, -2*d = 4. Let t = 4 + 52. What is the remainder when t is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 24*y**2 - 23*y + 19. Calculate the remainder when u(23) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425, -1322, -2675, -4484, -6749, -9470, -12647?\nAnswer: -16280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t**3 - t**2 - 7*t + 13. Let o(s) = 14*s**3 + s**2 + 8*s - 14. What is 7*a(f) + 6*o(f)?\nAnswer: -7*f**3 - f**2 - f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020861577 to five decimal places.\nAnswer: -0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 3126276*b.\nAnswer: -3*b*(b - 1042092)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78547 is divided by 40?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1381 and 498315897?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9692 + 9691.4981. Let r = 0.0019 + z. What is the third biggest value in -2, r, 0.1, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-245\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q - 71 = -1 + 6. Let u(d) = -8*d - 1. Let g(a) = 15*a + 2. Give q*g(l) + 5*u(l).\nAnswer: -10*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712 + 1248 = -174*v - 1900 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29a (base 14) to base 2.\nAnswer: -1000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52418 is divided by 126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -370 (base 8) to base 4\nAnswer: -3320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7713.8 + -7713. What is the nearest to -1\/5 in -1\/7, -0.1, r?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b + 1. Let w(h) be the first derivative of -3*h**4\/4 - 5*h**3 - 15*h**2\/2 + 15*h + 4. Let x = -44 - -59. Determine x*z(g) - w(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(7*o - 2*o - 2*o) + (2*o - 150 + 150)*(2 - 4 + 1).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13649.\nAnswer: 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 2\/13, -2230, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 - -2)\/(-3) + 6\/3. Let a be (-250)\/(m\/900*(-12)\/5696). Round a to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 17*r**3\/3 + 11*r**2\/2 + 1148. Let f(v) = -6*v**2 - 4*v. Calculate 11*f(p) + 4*j(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -59*j + 2805. Calculate r(47).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 67, 32.\nAnswer: -2, 2, 32, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36638 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1845918693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3861 = -4034. Let q = -333 + 2585. Let l = q + j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*w - 1823 = 0, 0 = p + 5*w - 193 - 269. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 33. Let m be i(11). Find o such that -2\/7*o**4 - 2\/7*o**2 + 4\/7*o**3 + m + 0*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2508*k**3 - 3*k**2 + 2*k - 2. Let f be j(-5). Suppose 0 = 8*w + f + 20011. Let t = -22678 - w. Round t to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 6 - -7) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67c (base 13) to base 4.\nAnswer: 101131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 190\/(-5)*(7\/1960*-14)\/(-1)?\nAnswer: -19\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*24\/(324\/(-27))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 31852*l - 8 = 31850*l, 0 = -4*u + 3*l + 2*l - 26 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 21 = 4*s, -8 = -s - s. Suppose r*c + 595 = -55. Let z = -53 - c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 163803 and -0.5.\nAnswer: 163802.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 5*m**2 + 7*m + 5. Let y be c(-6). Let r = 0 + y. Let u be (20\/(-3))\/(r\/3). Solve -6*t + t + u = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9396 is divided by 8897?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (-18)\/(-84) - -4. Let o = -9 - -4. What is the smallest value in p, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246735 by 82245.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = 58*o - 4567. Solve 2*z = -69 + o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(8\/7))**(1\/8))**(-50) assuming f is positive.\nAnswer: f**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 - 934756*s + 5608392 = 0. Calculate s.\nAnswer: 6, 233683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159460365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 116 = -24. Calculate the remainder when 90 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/8)\/((-3)\/64). Let f = n + -218. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 9*h + 33. Determine g(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5 take away 52565421?\nAnswer: -52565416.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 500 - -71. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/182 - (-2)\/7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*i + 62*i = -2616. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81637747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83431 and 11.\nAnswer: 917741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 12. Suppose -5 = h + q*h. Let b(c) = -c**2 + 1. Suppose 0 - 4 = m. Let d(g) = 2*g**2 - 4. Give h*d(o) + m*b(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29415 - 38497 - 17090 = -1371*o for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 125, 2, 37 in decreasing order.\nAnswer: 125, 37, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 23*k**3 - 17*k**3 + 38*k**3 + (-2 + 2 + 3*k**3)*(1 + 0 + 1).\nAnswer: 50*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 1. Let i(m) = 14*m - 6. What is -10*b(z) + 2*i(z)?\nAnswer: 38*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 19 = -7. Let l(z) = -7*z. Let c(v) = -v. Let d(g) = n*c(g) - l(g). Calculate d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -306*l**3 - 86*l**2 + 3*l + 307*l**3 + 10*l**2 - l + 0*l to j*l**2 + r*l**3 + a + p*l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 4675\/583)*-426 - 8?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 13*q + 2. Let b be x(13). Solve b = m + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g - 17. Let i be o(7). Suppose 234 = i*f - 5*f. Calculate the remainder when f is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18692416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48031514 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + 2*z - 2*z + (0 + 1 + 1)*(-19*z**2 - 265*z**2 - 10*z**2) + 0 + 0 + z**2.\nAnswer: -585*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19352, -19347, -19340, -19331?\n\"Answer: a**2 + 2*a - 19355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23301021 - 0?\nAnswer: 23301021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 0*w**2 - 5\/3*w**3 + 0*w + 37\/5*w**5 + 56 + 0*w**4. What is the third derivative of a(c) wrt c?\nAnswer: 888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 32. Let v be 7\/j + -1 - 1161045\/270. What is v rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1584) + -2 - sqrt(1584).\nAnswer: -24*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/9*12\/(-8). Suppose -2*n - 3*m = -52, 5*n - 3*n - 80 = 4*m. Let k = 32 - n. What is the third smallest value in t, k, -1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pga when three letters picked without replacement from psgga?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (6 - (-3)\/(-12))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1285)\/255 - ((-5 - 1) + 2) and ((-4)\/4)\/(42\/(-172))?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/11, 4\/9, 17, -1\/36?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 192 = 19*q. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655686 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*b + 162 = -40*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 4 (c) 0.1 (d) -0.057 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28382716?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 325942 to the power of 1\/2, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 2*g**2 + 5*g**2)*(-1 + 1 + 2*g**3) + g**5 - g**5 - g**5 + (-2*g**3 + 4*g**3 - 3*g**3)*(866*g**2 - 1742*g**2 + 869*g**2 + 124).\nAnswer: 8*g**5 - 124*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 15 = -3*r, 0 = -826*r + 830*r - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -9*b**5\/4 + 5755*b**4 - 40829*b**3\/4 - 85601*b**2\/2 - 31948*b - 5112 = 0.\nAnswer: -1, -2\/9, 4, 2556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - (-67 - -13)) + -36\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48829?\nAnswer: 11, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-28) + 3\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8370*j + 3652.\nAnswer: 8370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (sqrt(2) - (sqrt(2) + -2) - sqrt(2)) + (sqrt(2) - sqrt(8)\/sqrt(4))*-6.\nAnswer: -sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 2 - 2)*(1 - 1 + 2) + (-19*v + 11*v - 9*v)*(0 + 9 - 8).\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11185205 * 4\nAnswer: -44740820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(432) + sqrt(432)*1*5)**2 + ((-5 + 2*sqrt(147))*-5)**2.\nAnswer: -3500*sqrt(3) - 227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1 - -0.9. Let v = 0.7 + 2.3. Let g = o - v. Which is the nearest to 2\/3? (a) g (b) -0.5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -638\/9 + 71. Let j = 2 - 1. Let f = 1.1 - j. What is the third smallest value in f, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6441900637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*l + l**2 + 46*l + 59*l + l**2 - 159*l.\nAnswer: 2*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11226 - -11225.94. Put 3, q, 1.1, -3, -1\/4 in descending order.\nAnswer: 3, 1.1, q, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*344\/416)\/((-14)\/(-1820)*10)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -5*c**2\/2 + c + 676. Determine m(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31647*t**4 - 52*t**2 + 18*t wrt t?\nAnswer: 759528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 324067487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**3*m*u + 71*g**3*u - 292*g**2*m*u - g*m*u - g - 2326*m - 2*u wrt g?\nAnswer: 18*g*m*u + 426*g*u - 584*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 15*n - 114. What are the prime factors of y(91)?\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005092 to four dps.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (33 - -55 - 28)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 1\/6*y**4 - 11*y - 13\/6*y**3 + 3\/2*y**2 + 0. Let v be c(7). Calculate the greatest common divisor of v and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -2. Let p = t + -8. Let z = p + 21. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 823110 (b) -2\/7 (c) 4\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 1. Let q be i(5). Let v(m) be the first derivative of m**3\/3 + 5*m**2\/2 - 4*m + 1. Let h be v(q). Solve 2*r - h = z, 3*r - z = z + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t + 5. Let m(y) = y. Let j(r) = -3*m(r) - w(r). Let d(g) = -g**2 - g + 5. Let o be d(0). What is the lowest common multiple of 8 and j(o)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*k = -358*k + 202*k - 2*o + 13, -4*o - 137 = 9*k - 2*o for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 5*m + 4, -240*m = -6*k - 259*m + 25 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/24 + ((-258)\/(-8) - -1). List the prime factors of (9339\/b)\/(3\/18).\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l. Let m be o(-9). Suppose -6*s - 21 = -13*s. Suppose k + 5 = -0, 3*z + 3*k = -s. Calculate the greatest common divisor of z and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -13?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 74*s**4\/7 - 66522*s**3\/7 + 19709412*s**2\/7 - 1928270720*s\/7 - 104288448\/7 = 0. What is s?\nAnswer: -2\/37, 268, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v**5 + 32928*v**4\/5 + 9028812*v**3\/5 - 3662928*v**2\/5 - 12658842*v\/5 = 0. Calculate v.\nAnswer: -549, -1, 0, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 168*z - 123*z - 1485. Suppose 5*p - 4*u - 825 = 0, 3*p + u = 3*u + 495. What is the highest common factor of z and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 1397961\nAnswer: 139796.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 340, 709, 1074, 1435, 1792, 2145?\n\"Answer: -2*k**2 + 375*k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 12*s + 49. What is t(14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -116, -121, -128, -137, -148?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 69. Suppose 3*o = -n - 26. Let d = o - -40. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 v, and 1 w when four letters picked without replacement from {a: 5, w: 3, v: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -4 + (-3)\/(-1). Solve 5*o + u*o - 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3091035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 - v**5 + 0*v**5 + (4*v - v - v)*(-4 + v**4 + 4) - v**5 + 11*v**5 - 2*v**5.\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b520 + 31?\nAnswer: -3b4cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 406, 808, 1340, 2002, 2794, 3716?\nAnswer: 4768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 8:08 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 127 = -5*r, 3*k + 4*r - 173 = 0. What is the remainder when k is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 9:58 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**5\/60 + 10*n**2. Let l(z) = -8*z**2 + 12*z**2 - 3*z + 4*z - 1. What is -l(b) + 6*x(b)?\nAnswer: 2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**3\/3 + 1. Let r(v) = v. Let h(k) = -2*k. Let y(c) = -h(c) - 4*r(c). Determine s(y(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4976688.69 minus -2509?\nAnswer: -4974179.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/330 and -62\/35595?\nAnswer: 783090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/1380 - 17*f**5\/230 + 40*f**4\/69 - 36*f**3\/23 - 4416*f**2 + 1. What is b in j(b) = 0?\nAnswer: -54, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87535 and 137555.\nAnswer: 962885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 829290743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1748 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, 2.\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (3 + 0) - 2756353. Let x = r - 943646. What is x rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 9904554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 - 929*k - 46 to g + o*k and give o.\nAnswer: -929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 0.339065?\nAnswer: 5.339065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*g - 40*b*t**2 - 7492*b + 2*g*r**2 + 173536*g*r*t**2 + 3*r**2*t wrt g.\nAnswer: b + 2*r**2 + 173536*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h - h**3 - 6*h - 4*h**4 + 0*h**2 + 3*h**4 + 10*h**2 to c*h**2 + y + d*h**4 + v*h + k*h**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1740056176 - -1\nAnswer: 1.1740056176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*r - 294 + 594 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1034*(2 - 3\/2). Let b = l + -2043\/4. What is the common denominator of (-271)\/(-10) + (-4)\/(-10) and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 35\/((-6)\/(-24)*(3 + 1)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 6) in base 3?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -3661*o**6\/120 - o**5\/15 + 538*o**3\/3 - 2*o**2 + 1856*o. Find the third derivative of w(i) wrt i.\nAnswer: -21966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2975 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/9 + 20*s\/3 + 112\/9 = 0. Calculate s.\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 686080 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66647 is divided by 271.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, c: 10}. What is prob of picking 2 c and 1 h?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**2*p**3 - 3430*h**2 - 3046*p wrt p?\nAnswer: -6*h**2*p**2 - 3046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 + -141. Put p, 0.3, -56 in increasing order.\nAnswer: -56, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 3 + 3 - 17 - 3.\nAnswer: -2*a - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwkll. What is prob of sequence kw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 80336*k - 15. Let d be c(2). Suppose -3*z - 496760 = 618211. Let p = d + z. What is p rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 12 + 16 - 22\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*d + 41*d - 106*d to the form v + a*d and give a.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.6 + 13.11. Let d = 0.32 - v. Let h = 0.1972 + d. What is h rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, m: 14}. Give prob of picking 2 u and 1 m.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 502\/(-7) - (-58)\/(-203). Which is smaller: m or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(2 + 0 + 0). Let t(s) = -s**3 + 7*s**2 + 9*s - 5. Let n be t(8). Let x = -3 + n. Are g and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {o: 1, f: 4, g: 3, z: 3, a: 3, d: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -1\/3, -0.03?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-204)\/8*(-4)\/3. Let f(b) = -c + 34 + 10*b. Let k(d) = -2*d**2. What is k(f(r))?\nAnswer: -200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6707369051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284246264*n**2 + 115372568*n wrt n?\nAnswer: -568492528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of -4 - ((-184)\/10)\/((-11)\/(-1705))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - o)*(2 - 5 + 2) - 2*o + 2*o + o - 3988*o - 3516*o - 2116*o + 6*o - 4*o + 0*o as s + c*o and give c.\nAnswer: -9616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/72 and -139\/12360.\nAnswer: 37080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from aadoadawdo?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, -2\/7, -6, -1\/49?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*a - 3*a**2 - 65*a**3 + 3*a**4 + 43*a**3 + 6*a + 31*a**3.\nAnswer: 3*a*(a - 1)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640707483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 7, 7, 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -88, -0.2, -1.7, 4, 8\/27?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1148 and 1476?\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -18, -35, -58, -87?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-378)*690\/(-46)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17093, -21526, -25959, -30392, -34825, -39258?\nAnswer: -43691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34132*j*o*s**3 - j*o*s - 50*o*s**3 + 4*o*s**2 - 39*s**3 wrt j.\nAnswer: 34132*o*s**3 - o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -106.819052?\nAnswer: 320.457156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 771*z**2 - 2790*z + 2790*z to x*z**2 + r*z + n and give x.\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cf2 - -5?\nAnswer: -1ced","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30868\/23 - -1342. Which is the closest to r? (a) -2 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 199 + 2185?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 15. Let w be n(6). Suppose -3*m + w = 0, z = 3*z - m - 1. Suppose x - l - z*l = 60, 260 = 5*x - 5*l. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 6:41 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4*n + 8, 4*n + 8 = 4*t - 0*n. Suppose r - 3 - 2 = t. Let b(l) be the first derivative of l**3\/3 - 3*l**2 - 4*l - 4. Give b(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*u + 1235. Let v = 2614 + u. Suppose 0 = -2*n - 3*o - v, -3*n - o = -0*o + 3003. What is n rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 474 - 674. Let s be 74\/(-51) - (-6 - t\/34). Is s bigger than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 18. Let y(c) = -c - 18. Let b(l) = -4*w(l) - 3*y(l). Give b(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {z: 1, e: 1, f: 2, v: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 0*m**2 + 3*m**2)*((-21 + 11*m + 21)*(m - 3 + 3) - m**2 + 2*m - 2*m).\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3\/7 + 29052*k**2\/7 - 637292*k\/7 + 86892 = 0. What is k?\nAnswer: 1, 21, 7241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 46927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, -28, -2, 426, -5 in ascending order.\nAnswer: -28, -10, -5, -2, 1, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 3\/8, -17, 2.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 at least 34.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/7 - 87*t**2\/7 - 153*t\/7 + 243\/7.\nAnswer: -3*(t - 1)*(t + 3)*(t + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*n - 0*n. Let f = 9 - n. What is the units digit of (6\/f)\/(18\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 19*p**3 + 70*p**2 - 54*p - 6. Let k(v) = -39*v**3 - 138*v**2 + 117*v + 13. Determine -6*k(s) - 13*x(s).\nAnswer: -13*s**3 - 82*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 388725817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 138579 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5))**43)**(1\/3) assuming j is positive.\nAnswer: j**(-86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 10:13 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1723510115 to the nearest integer?\nAnswer: 41515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -69*u - 4603. Let c be v(-67). Let m(k) = k**3 - 19*k**2 - 18*k - 25. Calculate m(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -5 - (-65)\/(-35)) + -3. Which is the third biggest value? (a) -0.1 (b) -29 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-8)*(18*38\/(-304))\/(75\/(-40)).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 20 - 1. Let x = 152 + -178. Let l = x + d. Let o(a) = -a**3 - 8*a**2 - 8*a - 6. Give o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2435.94 + -2436. Let h = 7 - 4. Sort h, 2, -0.12, y in decreasing order.\nAnswer: h, 2, y, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27420 by 348.\nAnswer: 2285\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/(l**(2\/7)*l*l))**(21\/8)*(l\/((l*l**(-1\/7))\/l))\/(l**(-1\/4)*l*l)*l**(-2\/7)\/(l\/(l*l*((l*l**(-2\/15))\/l)\/l)) assuming l is positive.\nAnswer: l**(5123\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 937741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 7. Let v be c(-4). Let d(m) = -m**2 - m + 26. Let r be d(0). Let k = v + r. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three halves of a century?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/51, 1, -7627 in decreasing order.\nAnswer: 1, -2\/51, -7627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 6*g**2 + 6*g + 9. Suppose -2*q - 17 + 1 = 0. Let i be u(q). Let n = 282 + i. What are the prime factors of n?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 350953310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9861 is divided by 3155?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3127.\nAnswer: 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -6, 2 in increasing order.\nAnswer: -47, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**5 + 25*w**4 - 30*w**3 - 20*w**2 + 40*w.\nAnswer: -5*w*(w - 2)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -14074.\nAnswer: -14073.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/2568 and 93\/157856.\nAnswer: 50671776","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 105988\nAnswer: 74191.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:48 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1191*b - 2429. Calculate c(-2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 30. Suppose -3*u + d = -0*u - 5*h, 3*h = u - 10. Let b = u - 1. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -217, -291, -365, -439, -513?\n\"Answer: -74*r - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -44 - 3*p + p**2 + 44. Let y(u) = -u**2 + 2*u. Calculate -4*k(o) - 6*y(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -360.5 + 361. Let w = 1 - -2. What is the second biggest value in m, w, -0.05?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -1*(10\/(-5) - -3). Let y be ((-4)\/8 + (-1)\/(-2))\/o. Let s = 6 + -4. Put s, y, -1 in descending order.\nAnswer: s, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9497462?\nAnswer: 2, 13, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004483432074 to 5 dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 84*u + 1. Let b(v) = 23*v + 140. Let m be b(-6). Let c(r) = -23*r**2 + 46*r**2 - 21*r**m. Determine j(c(y)).\nAnswer: 168*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**3 - 5*r**2 - 3*r - 5. Let w(a) = 51*a**2 - 87*a**2 + 47*a**2 + 7*a**3 + 10 + 8*a. Let y(x) = 5*i(x) + 3*w(x). Give y(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 3*q - 6, k + 3*q = -8 + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*q + 39069 = -30*q + 48896 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 4 - 4 + k to the form q*k + j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 228127220 to the nearest one hundred thousand.\nAnswer: 228100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 37b (base 13) to base 3\nAnswer: 211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1543841.035 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*f + 7. Let y(d) be the third derivative of -d**5\/60 + 13*d**4\/24 + 7*d**3\/6 + d**2. List the prime factors of y(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -38*p + 489. Is n(-9) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20210 = -4418*w - 11293 + 70607 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -19.45. Let p = -51.55 + 57. Let r = p + n. Which is the closest to 0? (a) -4 (b) 2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 + -31282031\nAnswer: -31282031.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 2 - (-15 + 29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-6))\/((m*m**(-8\/3)*m)\/m))\/(m*m*(m\/m**(-12))\/m*m*m\/(m\/((m*m\/m**(-5\/6))\/m))*m*m*m))**(-1\/16) assuming m is positive.\nAnswer: m**(67\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1913528 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.428 * 0.2\nAnswer: 0.0856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + c - 2. What is the units digit of j(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1720 and 16168?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-54)*1*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**7\/1820 + w**6\/1170 - 5*w**3\/3 - 31*w**2. Let m(x) be the first derivative of f(x). Factor m(z).\nAnswer: -2*z**2*(3*z - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-12360\nAnswer: -11124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 25a95?\nAnswer: -25a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -238*c*d**2*u + 349*c*d**2 + 2*c*d - c*u - 2*c wrt u?\nAnswer: -238*c*d**2 - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40189502.\nAnswer: 2, 59, 421, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v - 3. Give c(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-4)*1\/5. Let s be (-1)\/(-2 - 42\/(-22)). Let v be (-94)\/154 - (-2)\/s. What is the closest to -0.1 in c, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*i**2*m**2*y + i**2*m*y - 26*i**2*y + 2*i*m**2 + 2560*i*m*y + 2*i*y - m*y wrt i?\nAnswer: 40*m**2*y + 2*m*y - 52*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5675 is divided by 142.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n + 3*n + 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*r - 5*l, 4*r = 6*l - 2*l - 48. Suppose 5*v = -0 + 20, 0 = 4*d + 4*v + 24. Let k = r - d. Is k not equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + f**2 + 1 + 0)*(4*f**2 + 0*f**2 - 5*f**2 + (2*f - 2 + 2)*(-5 + 55 - 12)*(-10*f + 10*f + 21*f)).\nAnswer: 3190*f**4 + 1595*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + -111111?\nAnswer: -1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8485149?\nAnswer: 3, 2828383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-7) + 4\/1. Solve -7*n + 5*n = c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**3 + 2 + 52*u**3 - 23*u**3 - 19*u**3.\nAnswer: -3*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/63 - (-12 - (-258)\/21)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4 + 3) - (-89 + 72). Solve 0 = -2*d - v*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 19) + 3 - (24 + -31)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 151 + 718*o + 645 + 257 + 63 + 199 wrt o?\nAnswer: 718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 0*q**3 + 1\/2*q**2 + 1 + 0*q - 1\/4*q**4. Calculate v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 63\/102 - 2\/4. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 13436.\nAnswer: -5\/13436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayoyaaoaaaaysaoyoaa. Give prob of picking 2 y.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + t - 3 = 0, -12 = 5*t - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2386342681 to the power of 1\/2, to the nearest integer?\nAnswer: 48850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1848 + 1853 - 6*o**2 - 2*o - 3703)*(0*o - o + 4*o) to g*o**2 + f + v*o**3 + x*o and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -35. What is the lowest common multiple of 46 and i?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v*v)\/(v\/(v*v**5\/v)*v)*v**(-1)\/(v*v*v**(-4\/3)*v) assuming v is positive.\nAnswer: v**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Let k(m) = -m + 9. Let w be k(t). Let q be 0\/(-1) - (2 + -47). Calculate the highest common divisor of w and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, x: 1, e: 5, g: 2}. Give prob of picking 2 e.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 263 + 43?\nAnswer: 2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39\/5*c**4 + 0*c + 33\/5*c**3 - 6\/5*c**2 + 0 = 0.\nAnswer: -1, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/90267 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1596 + 2961*f - 3195 + 1599 to x*f + t and give x.\nAnswer: 2961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.003922834 and -0.033.\nAnswer: -0.036922834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 10*y**3 - 72 + 1668*y**2 - 1668*y**2.\nAnswer: 10*y**3 + 2*y - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.36803744 * -0.3.\nAnswer: -0.410411232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:18 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l = 31 + 31. List the prime factors of 2022\/6 + 2 + (-2 - l).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 24, 35, 38, 27, -4, -61?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741 = -52*l + 13 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 498882, 498884, 498886, 498888?\n\"Answer: 2*p + 498880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*u + 117581 - 36651, -4*u = 2*h - 64740. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*w - 7680 = 399*w. Is w a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:09 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -190 - 692. What is the hundreds digit of 4\/((-48)\/(-9)) + z\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(1\/50))**(-7\/4)*((v*v*v*v*v*v\/(v*v\/(v*v**(-3\/8)*v)))\/(v*v*((v\/v**(1\/2))\/v)\/v))\/(v\/v**1)**(1\/23) assuming v is positive.\nAnswer: v**(41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 306*f + 146 = -164. What is the nearest to 2\/7 in -1\/24, 3, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26431*j**5 - 97*j + 132 wrt j.\nAnswer: 528620*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b361 (base 12) in base 14?\nAnswer: 18321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + u - 2*u = -464, -2*l = -4*u + 232. What is the remainder when (0 - (-5 - -1))*(-290)\/l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 5*i**2 + 8*i - 5. Let w be d(2). What are the prime factors of 20\/90 - ((-1796)\/18 + w)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1501 less than -1477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 1. Suppose -4*d + 10 = -2. Suppose -d*t - 3 = 3*x, -t = -1 + 3. Sort w, 3, x.\nAnswer: w, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -155, -589, -1435, -2831, -4915?\nAnswer: -7825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y + 276 = 23*y. Let j(z) = 4*z**2 - 3*z - 5. Let x be j(-5). Let i = x + y. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (968 + 1356 - 1743)*(-1 - f + 1)*(2 - 6 + 2 + (3 - 1 - 1)*(-2 + 1 + 2) + 0 + 6 - 5 - 3 - 1 + 2 + 3 - 2 + 0 + (-7 + 4 + 4)*(-2 - 5 + 1)).\nAnswer: 4067*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2\/(-11) - -72*113968\/(-3366). Which is greater: z or -2437?\nAnswer: -2437","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**3 - 3*u + 7. Let d(o) = 5*o**3 - o + 3. Suppose 1404*r - 28 = 1408*r. Calculate r*d(w) + 3*l(w).\nAnswer: -5*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053 plus -92?\nAnswer: -1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 0 + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 6*m**2 - 8*m - 9. Let h be t(8). Let z(s) = -2*s**3 - 9*s**2 + 9*s + 64. Let n be z(-5). What is the highest common factor of n and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, d: 4, b: 3, g: 2, i: 2, y: 1}. What is prob of picking 1 k, 1 i, and 2 g?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 61. What is the third smallest value in 4, s, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117.5 + 130. Let s = -12 + r. Put -1, 0, s, -3 in decreasing order.\nAnswer: s, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 2*t**4 + 6*t - 3*t**3 - 12*t + 9*t**3 + 2*t**2.\nAnswer: 2*(t - 1)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 533\/6 + -89. Let h = 0 + 3. Let t = 5\/21 - -2\/21. What is the closest to h in t, -2\/7, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1321117 and 553.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83649\/7 - -11950. Let v(n) = -n**3 - 10*n**2 - 7*n + 13. Let z be v(-9). Sort 2, z, g, -1 in ascending order.\nAnswer: z, -1, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -81*i**8\/56 + 22*i**4\/3 + 82*i. What is the third derivative of w(x) wrt x?\nAnswer: -9720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*h - 4 = 13, 0 = h + 5. Let d = q - -29. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871260130?\nAnswer: 2, 5, 13, 83, 80747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -5, 5, -21, 1, -4 in ascending order.\nAnswer: -25, -21, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*k = 253*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*((f*f**(2\/3))\/f*f)\/f)*f*f)\/(f*f**(-9)))\/((f*f**(-1\/8))\/f*((f\/((f\/(((f*f*(f*f**8*f)\/f)\/f*f*f)\/f))\/f*f))\/f)\/f) assuming f is positive.\nAnswer: f**(11\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3*n + 7. What is the remainder when 202 is divided by j(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1726 and 0?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/216 and 19\/3.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 251105 and -0.018 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 18*p + 265. What is v(-13)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25056 and 6003?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 1, 415, -1\/2, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 84614*s + 512. Let j be g(-8). What is j rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + o + 2 = 0, -2 = -3678*o + 3680*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, -0.438, 14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 630 + -616. Let n = 22 - 11. Suppose d - 91 = -n*a. What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/39, -2\/17, 8\/7, 53 in decreasing order.\nAnswer: 53, 8\/7, 1\/39, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 532238\/115 or 1.1?\nAnswer: 532238\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243)*-3 - sqrt(243)) + 1 + (sqrt(243) - (-1*sqrt(243) + -2)))*-2)**2.\nAnswer: -432*sqrt(3) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.75 + 1.15. Is -2 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8041 - -4?\nAnswer: -8038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12567*k*t**4 + 11*k*t + 21*k + 2*t**5 + 7*t**2 wrt t.\nAnswer: -301608*k*t + 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.4, 453, 12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2743?\nAnswer: 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 21822912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3370 by 5.\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 16*d**3 - 27*d**2 - 19*d + 48. Let k be m(23). Let o be (0 + k)\/(40\/200). Round o to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102946598?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215718, -862958, -1941700, -3451944, -5393690?\nAnswer: -7766938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 3, 2, -1\/16, 7?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3104803 is divided by 570?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-834)\/(-24) + (-2)\/(-8) and -1 + 3 - (-177)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2638238.77 rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2091 - 2051. What is the greatest common divisor of 1970 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5 - 2*z - 3 - 2. Let y(n) be the first derivative of n**5\/60 - 2*n**3\/3 - 1. Let j(t) be the third derivative of y(t). Give j(m(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52574 = 42*f + 75*f - 20*f. Is -542 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**2 + 24*h - 20. Let a be t(11). Let w = -340 - a. Suppose -10 + w = 2*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(133) - sqrt(133) - 1*sqrt(133)*-2)\/(-2*1*sqrt(7)*2)*3.\nAnswer: -15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014519412 to 7 decimal places.\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 148979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**5 + 6*s**4 - 4*s**3 + 6*s**2 + 5*s - 6. Let o(n) = 11*n**5 + 13*n**4 - 9*n**3 + 13*n**2 + 11*n - 13. Let q(b) = -13*c(b) + 6*o(b). Factor q(l).\nAnswer: l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(675))\/sqrt(3))\/(1*sqrt(3)*1 + sqrt(108)*2).\nAnswer: -15*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 8 + 3*f)*(-1 - 1 + 0)*(2 - 26*f**3 + f**2 - 27*f**3 + 55*f**3) to the form d*f**2 + i*f + v*f**4 + s*f**3 + z and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*f - 19125, 5*z - 12365 = 2*f + 6739. Let o = z - 2253. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1844, 2124, 2414, 2720, 3048, 3404, 3794?\n\"Answer: b**3 - b**2 + 276*b + 1568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22656 to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1879 by 5.\nAnswer: 1879\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-0.1874\nAnswer: 0.005622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 1983*m**2 - 5457*m**2 + 77.\nAnswer: -3474*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-48)*-4*(0 - 98)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:28 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.698445 millennia?\nAnswer: 5698.445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**5 - 119913*n**4 - 8890218*n**3 + 9130038*n**2 + 8890215*n - 9010125 = 0.\nAnswer: -75, -1, 1, 40045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40309817231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 964, 906, 808, 670, 492?\n\"Answer: -20*r**2 + 2*r + 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 514*v**2 - 1568*v wrt v?\nAnswer: 1028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 60386131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i. Let o(x) = 4 - 16*x + 2 - 6. Give t(o(r)).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(7\/2))**(-3\/5)\/((z\/((z\/((z\/(z*z**(-1\/3)))\/z))\/z)*z)\/z)**(24\/11) assuming z is positive.\nAnswer: z**(-311\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -276.62\nAnswer: -271.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6254 - 5946. What is the highest common divisor of c and 392?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151 and 834815731?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.175 * 1.24.\nAnswer: 1.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2910138 and 44\/56691.\nAnswer: 8730414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -3.51, 6, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 14. What is the third derivative of -12*i**2 + 3*i**2 + k*i**3 + 5*i**2 wrt i?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-15))\/((-312)\/(-260))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 + 2 + -5 - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*1488\/168*6\/(-6*2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - 156\/91*-9)*14\/6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 5*f. Let n(h) = h**2 - 2*h. Let u(m) = 2*b(m) + 5*n(m). Let w(d) = d - 3*d + 0*d. Give w(u(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -22, -425\/8, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**2 + 9*f + 13. What is the remainder when l(-2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3109444 or -3109441?\nAnswer: -3109441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p + 65. Let c be d(-13). Suppose 6*i - 16*i + 1010 = c. What are the prime factors of i?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010618293435 to 6 decimal places.\nAnswer: 0.010618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 999653?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383477763.\nAnswer: 1383477763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35972, -71952, -107934, -143918, -179904, -215892, -251882?\n\"Answer: -d**2 - 35977*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v + 50 = 238 + 254 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 11:09 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1267a (base 13) in base 11?\nAnswer: -23663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 200687 = 200507 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/9 + 3232*c**3\/9 - 459316*c**2\/3 + 58353760*c\/9 - 651966050\/9.\nAnswer: -2*(c - 785)**2*(c - 23)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108501 = -4*m + k, -382*m - 81395 = -385*m - 2*k. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4059?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 - 73 - (-23 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66\/88 - 26\/56. Solve -y*q**2 + 6\/7 - 4\/7*q = 0 for q.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8302, -7993, -7702, -7435, -7198?\n\"Answer: -d**3 - 3*d**2 + 325*d - 8623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18500413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = s - 0*i - 16, -3*s = -5*i + 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*m + (-2*m + 0*m + m)*(-1 - 4 + 4) - 7*m - 16 + 16 + (-2*m + 2*m - 2*m)*(-3 + 1 + 1) + 3*m + m - 2*m + 0*m + m + m + 3*m + 0*m + 3*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1518*f. Let o(z) = 2*z. Give o(m(k)).\nAnswer: 3036*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n - 4. Let v be o(1). Let z(k) = -25*k - 144. Let g be z(v). Solve -5*q - 4*a - 17 = 0, -5*q + 2*a - g = -a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2308303, -1\/2, 2\/3, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 - 3*a**2 + 4*a**2)*(-2*a**2 - 2*a**2 + 2*a**2)*(3 + 3 - 2) in the form u*a**3 + k*a**4 + q*a + i + m*a**2 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/6 + (-8)\/(-12). Suppose z - 5*i = -18, 0 = -4*z + 2*i - 27 + 9. Let t be b - (2 + z) - -5. Calculate the highest common factor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.5 (c) 0 (d) 2 (e) 135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 3*b**2 - 5*b - 1. Let a(q) = -q**3 - 4*q**2 + 6*q. Let y(l) = 4*a(l) + 5*t(l). Let x be y(0). Does 10 divide (-306)\/(-10) - (-3)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 142, -747, -2168, -4121?\n\"Answer: -266*q**2 - 91*q + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a factor of 1177655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1158\/55 + -108\/5. Let i = 2077 + -10387\/5. Let n = 1 + -4. Which is the biggest value? (a) i (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 50. What is the highest common divisor of 120 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 8 + -5 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2100940 and 44.\nAnswer: 92441360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21397007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 29 = 5*u, x = -u - 3*u + 24. Suppose -x*j = 4*z - 120, -3 + 17 = j + 5*z. Solve -n = 3*v - 13, 3*v - 4*n + 11 = j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288902506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29 or 0.13?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 18 = 2*p, -p + 4*p + 5 = -5*f. Let y be 3 + (-3 - p - 1). Suppose 0 = -3*b + 2*b + 4*a + 75, -y*b + 235 = -3*a. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*s - 36. Let h = s + -7. What is the third derivative of 2*q**h - 2*q**4 + 0*q**4 + 6*q**4 wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**6\/180 - o**5\/15 - o**4\/3 - 8*o**3\/9 + 2*o**2 - 2*o. Let c(t) be the first derivative of j(t). Factor c(b).\nAnswer: -2*(b + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 + 3*k**4 + 0*k**4)*(-5*k + 3*k + 3*k) - 4508*k - 11 + 4508*k + 11 + 3404*k**5.\nAnswer: 3406*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 42.5. Put 3, -1, 1, l in increasing order.\nAnswer: -1, l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + d)*(4*d**2 + 0*d + 0*d) + (12 + d - 25 + 14)*(-4*d**2 - 2*d**2 + 5*d**2) in the form w*d**3 + y*d**2 + u*d + b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116549118*p**2*y + 5*p*y + 64*p + 427*y wrt p.\nAnswer: -233098236*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.8*-202231.\nAnswer: -3195249.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7793531333 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 682690.2 litres?\nAnswer: 682690200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/3, -5, 1, 2\/3.\nAnswer: -5, 2\/3, 1, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/7)*o**(1\/8)*(o**(-4\/3)\/o*o)**(-39) assuming o is positive.\nAnswer: o**(2903\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 21789 - 21789 + 0*h + 2*h. Let u(f) = 10*f**2 + 8*f. Give x(u(q)).\nAnswer: 20*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 - -2. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*d + 1029 = -38*d + 312 - 907 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/((((-184)\/(-624))\/(-23))\/((-8)\/12))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/15 + 9*a**4 - 486*a**3 + 15*a**2. Factor p(u).\nAnswer: -4*(u - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343827408 by 6.\nAnswer: -57304568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124753769 greater than or equal to 124753769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m + 0*m - 12*m**3 + 6*m - m wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 0, -2363*g - r = -2367*g - 2*r - 10 - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 - 17*t + 0*t + 7*t - 15*t + t**2 as n*t + f*t**2 + r and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62989750 and -4.\nAnswer: -251959000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 8 + 11 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 + 21*h**2 + 6*h - 36. Determine q(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -218482 (base 15) to base 10.\nAnswer: -1597397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9992581 is divided by 1182?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + -1 + (-17 - -3) + -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -1\/24*t**6 + 0 + 5\/8*t**4 + 5\/3*t**3 + 0*t**5 - 29*t + 29\/2*t**2. Let j(x) be the first derivative of c(x). Factor j(h).\nAnswer: -5*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -3*a - 540. Let n = a + 151. What is the highest common divisor of n and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 5199\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5\/2 + 3*g**4\/2 + 129*g**3 - 669*g**2 + 1905*g\/2 - 825\/2 = 0. Calculate g.\nAnswer: -11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 108010000 to the nearest one million.\nAnswer: 108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 + 6 = 0. Find the third derivative of -3*m**2 + 4*m**2 - 4*m**2 - n*m**6 wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 2. Let f = -8 + 5. Let j be o(f). Let l = j - 6. What is the second biggest value in 1, l, -1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*o - 25. Suppose 4*i + 40 = o*i. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 2*y - 19, -14 = 3*y - 7482*d + 7481*d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5, 5*t = 10*t + 3*f - 205. Solve 5*r = -t + 34 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17*169\/(-442))\/(2\/4*(-3)\/15).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -36*((-8)\/6 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*f - 22*f - 1638 + 1637 in the form y*f + d and give y.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -156, 12, 3, 2 in descending order.\nAnswer: 12, 7, 3, 2, -5, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 2. Let w(n) = -n - 3. Let a be w(-6). Suppose a*j = -2*j + 15. Let r(y) = -2 + y**j - y + 2*y + 0. Give 2*r(l) - 3*u(l).\nAnswer: -l**3 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2801655.\nAnswer: 3, 5, 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + 3*r**2 + 3*r**2 + (7 - 3 + 0)*(3*r**2 - 3*r**2 + r**2) - r**2 + r**2 + 2*r**2 + (3*r + 0*r - 2*r)*(-3*r - 3*r + 7*r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o + o + o)*(2*o - 4 + 4) + 3 - 3 - o**2 + (0 - 4 + 2)*(7*o**2 + 92*o**2 - 2*o**2) as k*o + j*o**2 + l and give j.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 366 + -246?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-10))\/((-2)\/52). Let r(q) = -7*q - 4. Let h(v) be the second derivative of -5*v**3\/2 - 9*v**2\/2 + v. Give b*r(f) - 6*h(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6145 divided by -2.\nAnswer: -6145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 803 = 647. Let p be (15\/(-12))\/((-39)\/x). Put p, 5, -41 in ascending order.\nAnswer: -41, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 6\/199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/536, 1, -1.\nAnswer: -1, 1\/536, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -20, -2*v = -3*s - 85 + 548. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide -2*((-14)\/(-105) + 589\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10*b**3 - b. Let n be h(-1). Let y = -10 + n. Let a = 1366\/11 - 124. Is y less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:56 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45080 divided by -40.\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/14 - 16\/((-176)\/(-55))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1620 minus -9?\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000288286 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(5583\/558 - 10). Suppose -f*h - 2 = -95*h. Let n(b) = 8*b**3 - 5*b**2 - 5*b - 5. Let s(l) = l**3 - l**2 - l - 1. Calculate h*n(t) - 5*s(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.294 + -0.3.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2598, 10512, 23710, 42198, 65982, 95068, 129462, 169170?\n\"Answer: h**3 + 2636*h**2 - h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 5. Let z be u(5). Suppose z = -3*o + 25 + 11. What is the greatest common factor of 96 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/210)\/((-50)\/12*(-59)\/((-23895)\/81)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(5 - 1) - -1. Suppose -3*d + 0*k = -2*k - 6, 0 = -h*d - 2*k + 14. Let g(p) = -p**2 + 2*p - 5. Give g(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3663120607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524579 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*(-216)\/(-135).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*g - 9 - 7, -2*w - 5*g = -13. What is the nearest to -0.1 in 1\/31, w, -3?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 19*o + 21*o - 1050 = 0, -2*o + 202 = c. What is the smallest common multiple of c and 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l - 46 = -3*a, -3*l = 2*a - 27. Let o(b) = b**2 + 5. What is the remainder when 50\/a*156\/10 is divided by o(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) - 1*sqrt(768) - (sqrt(144) - (sqrt(144)*2 - sqrt(144)))\/sqrt(12))\/(sqrt(64) + 1*sqrt(64)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119*x**5 - 6*x + 10 wrt x.\nAnswer: -2380*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1760374 divided by 22.\nAnswer: 80017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*f*l**3 - 2*f*l**2*v + 43*f*l**2 + 142*f*l*v - 71*f wrt l.\nAnswer: 180*f*l - 4*f*v + 86*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - ((2 - 27) + 5)) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 17*s**2 - 38*s + 52. Calculate k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -5, 0.3, -254 in descending order.\nAnswer: 0.3, -6\/7, -5, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -399\/52 - -90\/13. Let w be ((-9)\/7 - 64702\/(-52360))\/(8\/20). What is the biggest value in 1\/5, n, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l - 50 = 0. Suppose k = 26 + l. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6024*g = -7079*g + 35870 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppn. Give prob of picking 1 p and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*f = 8*f + 220, 3*f - 156 = -3*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5 = -4. Let c = -2 + u. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -18442.\nAnswer: 3\/18442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9198691881*d**2 - 10*d**3 - 9198691881*d**2 + 25*d**3.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 590 or 7680\/13?\nAnswer: 7680\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 8*t - 6. Let p be h(-6). Suppose 4*i + 0*u = -u - 35, 2*u = 3*i + p. Is -3*(i + 0\/(-1)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**2 - 2*f. What is the tens digit of o(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 517*q**3\/2 - 53*q**2 + 11*q. Is k(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-71)\/((-2 - 0)\/2). Let g = 6 + j. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqsixxfiaxxas. Give prob of sequence qqx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 23 + 3*l - 4*l)*(-6*l + 7*l + 9*l).\nAnswer: -10*l**2 - 50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*m - 31*m + 4525380 = 25*m. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -72\/385057?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6102 is divided by 2962.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.023 and 641250.\nAnswer: 641244.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*w - 4, -5*t + 2102 = 2*w. Suppose 2*s + l = -l + t, -203 = -s - 5*l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16278742.\nAnswer: 2, 37, 219983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 71939 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189 - -19. Let o = c + 225. 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 second smallest value in -2\/9, -7, 13\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 37*r**2 - 3*r - 3 - 36*r**2 + (-3*r + 4*r + 2*r)*(-r - 8*r - r) in the form b*r**2 + o + z*r and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-8)*((-32)\/30)\/(-16)*-1*-6.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (11816\/(-18990))\/((-4)\/(-18))*10\/8?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -889330860 divided by 270.\nAnswer: -3293818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/60)\/(-7)*(-2)\/(-5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c. Find the first derivative of -2 + 2*d**2 + 0*d + c*d wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + (8 - 11). Put 5, -1, g, 4 in decreasing order.\nAnswer: 5, 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:23 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.093683 at most 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 7. Let v be w(13). Let m = -1 + v. Solve -25 = -m*l - 0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5022, 5032, 5048, 5070, 5098, 5132, 5172?\n\"Answer: 3*d**2 + d + 5018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4772155 a multiple of 1760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.08 (b) -26301\/13 (c) 2.2 (d) 0.2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -31*o. Let j(r) be the first derivative of r**3\/3 - 24. Calculate l(j(k)).\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63787 is divided by 20979.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -758, 47 in increasing order.\nAnswer: -758, -1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 11:30 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43848*b + 6 = -43851*b + 5*r, 69*b = r - 480 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118845 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*y**4 - 27*y**3 - 39*y**2 + 27*y + 6 = 0. Calculate y.\nAnswer: -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o - 15. Let y(h) = -h + 1. Give -k(r) - 4*y(r).\nAnswer: r + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2459?\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 + 35 - 34).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*d + 3*d. What is the remainder when (-27 - -5)\/(6 - 8) - -6 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + ((-3 + sqrt(300) + sqrt(300))*-3 - sqrt(300) - sqrt(300)) + sqrt(300) + (sqrt(300) - -2*sqrt(300)*4))**2.\nAnswer: 540*sqrt(3) + 2781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 135*p**2. Let l(c) = -10024*c + 63. Give l(b(i)).\nAnswer: -1353240*i**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52694?\nAnswer: 2, 26347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/(-10) - (-2)\/(-10). Suppose w*v + 35 = 8*v. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:15 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434, 428, 422, 416?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -38. List the prime factors of (2\/q)\/(1\/26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 9:17 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385083 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w + 4 - 6 + 5*w - 1. Let l be o(6). Let i(n) = 0*n + 17*n**3 + 0*n + n + 2 - l. What is i(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24a737 (base 15) to base 6\nAnswer: -101352311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 5. Let h be d(9). Suppose -4*y - h*b - 16 = 0, 4*y + 9 = -3*b + 6*b. Let l be (y*1)\/(15\/(-490)). What is the highest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m + 41. Let u be r(6). Solve u*d - 18 = -2*x, -3*d = -4*d + 5*x - 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*c**5 + 4*c**2 + 604*c - 3 wrt c.\nAnswer: 4140*c**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33757520 and 10346.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10279, -132, -10543, -20954?\nAnswer: -31365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -8*s + 48 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + x**4 + x**4)*(8 - 16 - 17)*(6 - 10 - 3).\nAnswer: 175*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-18)*((-162)\/72)\/(9\/12).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185301504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**2 - 829 - 3120 - 3*h**2 + 774.\nAnswer: 6*h**2 - 3175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(528)\/(sqrt(44)\/sqrt(4)) + sqrt(48))*-5*-1 + 5.\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -118 and -3.2897.\nAnswer: -121.2897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266785748 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 1. Let o = 2 + r. Let c = -0.641 + -0.459. Sort 0.2, o, c in increasing order.\nAnswer: o, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 75*i - 272. What is o(-70)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2956301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8 + 2.8. Let l = -0.253 + 0.053. What is the closest to n in l, -2, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 + 152*u - 393*u + 146*u + 95*u.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/5, -5\/3, -0.3.\nAnswer: -27\/5, -5\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 693*h**2 + 672 wrt h.\nAnswer: 1386*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 11*n**3\/3 - 13*n**2 - 66*n. Find the first derivative of g(l) wrt l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53560544 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 24 + 1428*y**3 + 265*y**3.\nAnswer: 1693*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-645)\/(-60) - 3\/4. Suppose v*t - 8*t - 20 = 0. Suppose 0 = -2*d - 5*q - 7 - 15, 5*q = -3*d - 23. Sort 2, 0, t, d in ascending order.\nAnswer: d, 0, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-65)\/(-30) - 1\/6. Suppose 2*g = g + t. Let a(k) = 3*k + 3*k**2 + 2*k**3 + k + 4 + g - 4. Give a(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -293, -301, -309?\n\"Answer: -8*u - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.42 + 1654.58. Which is smaller: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 61*i - 134*i + 71*i. Let g(m) be the third derivative of m**8\/6720 - m**5\/60 - 2*m**2. Let h(a) be the third derivative of g(a). What is y(h(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 104. Let s = -111 + p. Let f = 71 + s. Solve 3*q - 2*v - 5 = 0, 23 = f*q + 2*v - 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13457 - -7?\nAnswer: -13450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7705 divided by 8\nAnswer: 7705\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*t**2*u - 14*t**2 - 129822*t*u + 4559*t with respect to u.\nAnswer: 10*t**2 - 129822*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 4a?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 1. Let b(c) = 3*c**2 + 6*c - 2. Let w(p) = b(p) + 3*d(p). Suppose 13 = -4*f - 11. Is w(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6473, -17429, -28385, -39341?\n\"Answer: -10956*l + 4483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o - 1)*(-4 - 3 + 2)*(8*o**4 - 3*o**2 + 3*o**2).\nAnswer: -40*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 371549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(1 + -1*sqrt(48)).\nAnswer: -6 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117720243 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 - 4 = 0. Suppose 0 = -2*s + k + 5, -6*k + 3*k + 5 = 4*s. Calculate the remainder when q is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 8:00 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133017 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6208 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 339786410 to the nearest ten thousand.\nAnswer: 339790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(20\/3)*(y**(-1))**47 assuming y is positive.\nAnswer: y**(-161\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:12 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 695 or 693?\nAnswer: 695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 22*w**2 - 1\/24*w**4 + 0 + 0*w**3 + 0*w. What is c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -289 - -688. What are the prime factors of h?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*n - 330. Let q = 732\/7 + n. Let x = -0.75 + 0.85. What is the third biggest value in 2\/7, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/5)\/g)\/g)\/(g*g\/(g*g**(1\/5))))\/((g*g**(-2)*g)\/(((g**5\/g)\/g)\/g*g)) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3 + 46\/1. Let z = -1398 - -1414. Calculate the highest common divisor of z and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2578548 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4552049?\nAnswer: 4552049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 7 = -f + 4*g, -2*f + 5*g = 0. Find the third derivative of 66688*l**4 - 105 - 53*l**f - 66688*l**4 - 2*l**2 wrt l.\nAnswer: -3180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/47755334?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t*t**5*t))\/t*t))**(5\/4)*(t**4)**(2\/57))**(-32) assuming t is positive.\nAnswer: t**(-16216\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/20 - t**4\/6 - 7*t**3\/6 + 3*t**2\/2 - 8*t. Let b be y(-5). What is b rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15831, 15710, 15607, 15534, 15503, 15526, 15615, 15782?\nAnswer: 16039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7699940?\nAnswer: 2, 5, 19, 23, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 19*k**2 - 34*k - 1. Let t be w(-17). Let o be t + 24\/(-6) + 7. Solve -5*y + 3*x = -24, 0*y = -2*y + o*x + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 2 - 2 + (0 - 2 + 3)*(-2*b + 3*b - 3*b) + 2*b - 2*b + b + 252 - 252 - 118*b to m*b + w and give m.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99498 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 = 10. Let b(o) = -10*o - 10. Let y be b(-14). What is the highest common divisor of w and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-4) - 12*(-380)\/160?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 6. Let m(y) = -3*y + 4*y + 28 + 41269*y**2 - 7*y - 41270*y**2 - 3. Does 24 divide m(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l = 0. Solve l = 2*n + 2 + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, 13, -1, -5 in ascending order.\nAnswer: -144, -5, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 + 72. What is the fourth biggest value in -1\/3, a, -0.1, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -277, -664, -1229, -1984, -2941, -4112, -5509?\nAnswer: -7144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxxj when four letters picked without replacement from {e: 2, x: 4, f: 1, j: 1, r: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -34543*r - 690862. Determine j(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 4. Let g be s(-4). Which is the second biggest value? (a) 0.5 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55440 divided by -6.\nAnswer: 9240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -5*b + u, -3*b + 0*b + u + 174 = 0. Suppose 2*j - 4*j = -b. Suppose -5*v + r = -2*r - j, 5*r - 24 = -2*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 39*h + 16. Let g(s) = -41*s - 14. What is 5*g(n) + 6*x(n)?\nAnswer: 29*n + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 14 + -14 - (-2 + 18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 14 - 6 = 0. Suppose -30 = 2*t - f*t. Calculate the remainder when t is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i. Suppose 3*b - r - 21 = -b, i = -5*b + 4*r + 29. Suppose f - 9 = 1. Solve -f = 5*j + b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 52\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -12. Let o = y + -8. Solve 24 = -2*a - 5*x, 2*a + o*x - 5*x - 16 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106 - 76) + 5 + (3 + -5 - 6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227 - 3*s + 451 - 224.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z - 6 = -3*k, -4 = -z. Suppose -3*f - 5*x + 95 = 0, -46*f = -44*f - x - 59. Calculate the greatest common factor of k and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((3 - -2) + 1 + 1). Suppose j = 11 - x. Suppose 5*q - 8 = -j*m + q, -5*m = -q + 2. Is 2\/197 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 8*u + 1. Let p be t(8). Calculate the common denominator of 2431\/(-130) + p\/5 and 99\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 16*t - 5 + 9*t**2 + 4*t**2 + 0*t**2 - 3*t**2. List the prime factors of g(-6).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -3*j - 138 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2346.7 - -278.7. Let h = 2072.891 + v. What is h rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzbbuiiibunbbi. What is prob of sequence bbb?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*g - 12*g - 7 + 304*g**2 + 6*g + 14 - 302*g**2 to the form h + a*g + u*g**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5 = r - 16, 55 = 3*r - 5*s. What is the remainder when 42 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1119 and 22007.\nAnswer: 66021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 - 2*b + 2. Calculate i(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:26 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**6\/120 - n**5\/12 - 13*n**4\/24 - 7*n**3\/6 + 8*n**2 + 29. Let v(b) be the second derivative of i(b). Factor v(u).\nAnswer: (u - 7)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9132 * -0.1.\nAnswer: 913.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4*x + 76, 0 = 5370*x - 5365*x + 2*d - 47 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 42*a + 10602. Let z be t(0). Calculate the greatest common factor of 372 and z.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + i**2 + i - 10. Let f be p(0). Let y = f - -14. What is the common denominator of (((-750)\/y)\/(-5))\/6 and -71\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-34)\/(-5))\/(4\/20). Let k(v) = v**3 - 5*v**2 - 6*v + 2. Let u be k(6). Suppose 0*q - u*q = -j. Calculate the remainder when 32 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5067047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -26*b**2. Let y(r) = r + 1. Let o(v) = -v**2 - 2*v - 2. Let d(k) = o(k) + 2*y(k). Calculate d(s(f)).\nAnswer: -676*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15375 and 8295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + z = 13, 5*s = -2*z - 6 + 27. What is the biggest value in -0.4, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*s + 385 - 8*s + 27*s + 1440 to w*s + d and give d.\nAnswer: 1825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603787518 a multiple of 1744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 22 = -2*k. Suppose -33 = 4*o + m, -5*m = 2*o - 3 + 6. Let b = o - k. Calculate the remainder when 4 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 2*d**7\/21 - 2*d**6\/15 - d**5\/5 + d**4\/3 + 30*d. What is n in u(n) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 912*t**5 + 40336*t**4 + 46892*t**3 - 54252*t**2 + 11680*t - 688 = 0.\nAnswer: -43, -2, 2\/19, 1\/6, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(48)*6 + 3)**2 - -2*(sqrt(3) + 0 + -2 - (1 + sqrt(3) + 0)).\nAnswer: 864*sqrt(3) + 62211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 - 2*c**4 + 2*c**3 + (-6*c**4 + 3*c**2 - 3*c**2)*(-4 + 4 + 4) + 6*c**3 + 6*c**3 + c**4 - 4*c**3.\nAnswer: -25*c**4 + 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = -4*f, 4*g + 5*f = 26. Suppose 1 = -2*m - 2*d + 9, g*d = 5*m + 7. Let s = 0.3 - 0.3. Which is the closest to 2\/5? (a) -0.5 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o**4 + 2*o**3 - 27458*o - 2400123?\nAnswer: 12*o**3 + 6*o**2 - 27458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -85*t**2 + 35*t - 35. Let o(k) = -5*k**2 + 2*k - 2. Let a(m) = -35*o(m) + 2*r(m). Let b(s) = 13*s**2. Give a(b(i)).\nAnswer: 845*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692 = -2*a - 4*u + 3126, -2498 = -2*a + 4*u. What is the least common multiple of a and 15?\nAnswer: 6165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2991342*x**2 - 10583*x + 7 wrt x.\nAnswer: -5982684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3866c6 (base 14) in base 5?\nAnswer: 444013424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12)*2\/(-8)*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28a + -1a541?\nAnswer: -1a262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-2 + 1)*-2. Suppose 4*z + 3*c - 52 = 0, c + 2 = -2. Suppose z = 5*g - 24. What is the greatest common factor of g and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 5*h + 4. Let n be f(-4). Let m = n - -5. Suppose 4*p + 0*w = -w + 43, -m*p + w + 65 = 0. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-4 - -10 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -62*r + 29 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4566589 is divided by 623.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 4*z**2 - 3*z + 2. Let i be m(-2). Suppose -40*p = -73*p + 46*p - 52. Solve 0 = 2*w + p - i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2060 by -64.\nAnswer: 515\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (15 + (-61810)\/4158)*(-6)\/(-4) and 61\/66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4263 and 18.\nAnswer: 25578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 66, 4\/9, -1\/12?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19454 - 323 = y - 2*n, -5*n = 2*y - 38244. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194 - 199. Suppose 3*m - 6*m = 18. Let q = z - m. Let o(j) = -j + 1. Let b(p) = p**2 - 6*p + 4. Calculate q*b(f) - 6*o(f).\nAnswer: f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 47*z + 1. Let f(w) = 1. Let g(o) = c(o) - 2*f(o). Let m be 36\/28 - 2\/7. What is the remainder when g(m) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7546*s + 60373. Determine h(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-5\/4)\/c*c)\/(c\/(c\/(c*c**(-2\/13))*c)))**(-31) assuming c is positive.\nAnswer: c**(155\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 9. Give n(24).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4241997 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: Simplify (1*(sqrt(3328) - (-1*sqrt(3328) + sqrt(3328)))*-3)\/((sqrt(48) - -6*sqrt(48))\/sqrt(12)*4*-4).\nAnswer: 3*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + y**2 + 3*y**2)*(-4 + 6 - 3)*(-53 - 49 + 4*y + 97).\nAnswer: -8*y**3 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-two fifths of a kilometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -39 + 34 + (-50)\/(-8) + -1. Which is the nearest to 1\/2? (a) 2\/15 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*h + 12 = 0, -2*u + h - 4 = 4. Let s be (-8)\/(-1)*(u - -2). Let t = 28 + s. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220) - (1*sqrt(220) + sqrt(220)))*6)\/(5*sqrt(11)*-1))\/(5*sqrt(256)*-1 - sqrt(256)*1*-4).\nAnswer: -3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1666 and 27\/22066.\nAnswer: 1081234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = 4*z + 5*u, 2*z - 3*u + 26 = 0. Let s(q) be the third derivative of -q**6\/120 - q**5\/10 + q**4\/6 - 5*q**3\/6 + 2*q**2. Determine s(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -503, -742, -961, -1154, -1315?\nAnswer: -1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from yyhffyfrvnyv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 10*c**2 + c**2 + 20*c**2 - 2*c**2.\nAnswer: 9*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 + m - 4*m**2 + 9*m**2 + 2 + 0)*(-24 + 24 + 4*m)*(-2 - 1 + 1)*(13 - 95 - 135) to the form v*m**3 + p*m**4 + s + b*m + g*m**2 and give b.\nAnswer: 3472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1054\/93*(-54)\/144\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9853 - 0.980169. What is t rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0395084480816 and 0.1.\nAnswer: 0.1395084480816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 12:05 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**(-1\/2)\/u)\/u*u)**(-46)\/((u**(1\/12)*u)\/u**(-3)))\/((u**9*u*u**(-1\/6))\/(u\/u**(2\/5)*u**(3\/4))) assuming u is positive.\nAnswer: u**(313\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k\/((k*(k**(-9)*k)\/k*k)\/k))\/k)\/k)\/k*(k*k**(-1\/3))\/k*k\/(((k**(-2\/21)\/k)\/k)\/k)*k*((k*k\/(k\/k**(-1)*k))\/k)\/k assuming k is positive.\nAnswer: k**(184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 1. Let r(o) = 6*o + 5. Let y(k) = 2*r(k) - 10*z(k). Let m(v) = v + 6. Let i(b) = 3*b + 14. Let c(l) = 3*i(l) - 7*m(l). Calculate c(y(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 80 = -2*u. Let q = u - -17. Let s be 5 + -4 - (q - 65). What is the highest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15030 and 173700?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/6, 8152500 in descending order.\nAnswer: 8152500, 0.3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30.7 and 1.45.\nAnswer: -44.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -109636.\nAnswer: 438544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3824 = 3*x - 3830 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - h - 1296, -18*v + 38*h + 4672 = 36*h. Calculate the lowest common multiple of 4 and v.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -902923, -903013, -903113, -903229, -903367?\n\"Answer: -z**3 + z**2 - 86*z - 902837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 3*c + 119. Give j(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2.1. Let c be 1 + -1 + (1 - -1). Suppose 0 = -2*y + 4 - 10. What is the nearest to f in c, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 - 2*h**5 + 9 + 3*h**5 + (0*h**2 + 4*h**2 - 2*h**2)*(-h**3 - 1 + 1) + 12*h**2 - 2*h**5 - 12*h**2.\nAnswer: -3*h**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - d - 43, -3*d = -5*l + 126 - 20. Calculate the remainder when 44 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.94 - -0.06. Let x = -1.8 + 10.8. Let f = -7 + x. What is the third smallest value in -0.2, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5) + -3 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four sevenths of a week in hours?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 9*d**2 + 11*d + 8. Let w be q(9). Let m = w - -5. Let f = 44 - 28. What is the highest common divisor of m and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 3944.\nAnswer: 19720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 2*v**2 + 32*v + 40. Determine h(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883837479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 5*f + 4*l - 70, -4*l + 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z + 4. Let u(l) = 5*l + 27. Let k be u(-6). What is the units digit of b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197639*d**3 - 3*d**2 + d + 3600?\nAnswer: 1185834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*l**3 - 481898*l**2 + 199658953*l wrt l?\nAnswer: -72*l - 963796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -2696.\nAnswer: -2697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -373 + 254. Let s = 71 + q. Let m = -21 - s. Calculate the remainder when 133 is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665 + -687 - (-1 - 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 58*b + 1011. Calculate the lowest common multiple of 5 and h(-17).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of 831 and 152.\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 3. Let x = 8 - 18. Let j = -7 - x. Suppose 3*s + 11 = n + 3*n, s = j*n - 12. Give u(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 2*c**8\/105 + 7*c**4\/6 + 41*c**3\/3 + 35. Let w(s) be the third derivative of x(s). Differentiate w(o) wrt o.\nAnswer: 128*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-1870))\/((-3672)\/(-3366))\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7218 and 145162?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6696 - -6865. What is the lowest common multiple of 78 and l?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 9 - -53 - 15 - 97\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.041 - -82.059. Let l = -81.6 + i. Which is the nearest to -0.1? (a) -2\/13 (b) l (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 166 + 541 = g, -5*g = 2*p + 177. Let d = p - -79. Put 1, d, -1, -8 in descending order.\nAnswer: d, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1.8, 1\/2, 600, 168.4.\nAnswer: -1\/5, 1\/2, 1.8, 168.4, 600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 15. Let w be s(-10). Let t be ((-6)\/(3 - w))\/((-9)\/(-12)). Which is the nearest to -1\/2? (a) -1 (b) t (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - 64d?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*sqrt(143))\/sqrt(11) + -5 + (sqrt(2548) - sqrt(52)))**2*-1*2.\nAnswer: -2672 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -7, 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.07 (b) -1\/5 (c) 1\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrbr. Give prob of sequence jb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010110001110010 (base 2) in base 9?\nAnswer: 286316","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7115*b + 37*b**2 - 155*b**2 + 7115*b - 70*b**2.\nAnswer: -188*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = d - 3, -2*w + 5*d + 22995 - 22958 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 15 = -0, -25 = -3*t - 2*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c - 1. Let v be i(-1). Let o(j) = 19*j + 38. Let r be o(-2). Solve f - 5 = 0, r = t - 3*f + 9 + v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (-10 + (12 - 33)) - 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19510176?\nAnswer: 2, 3, 7, 29033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiwwwwwuiwviiwvij. Give prob of sequence iuj.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -158, -358, -648, -1034?\nAnswer: -1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101001110 - -1000011?\nAnswer: -1100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43862 divided by -13.\nAnswer: 3374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2*(-25 - -75). Suppose 4*z = r - 9. Solve 0*j + 20 = z*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 5 + 10 + 5, 4*m - 68*q = -0*m - 371 + 83 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1608*m + 1600*m + 80 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19368 and 12?\nAnswer: 19368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.00688, 4\/9, -0.5, -1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 4529654458.\nAnswer: 4529654463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-6 - ((0 - 7) + 6))) + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2025316991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -108290 divided by -1666?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243408 bigger than 2243416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6038 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 q, and 1 j when three letters picked without replacement from wqnnqggrnwqgwwgjq?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-7))\/(h*h**(2\/29))*(h*h\/h**4)**(-4\/29) assuming h is positive.\nAnswer: h**(-197\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**5\/60 - 5*f**4\/24 - f**3\/6 + 3*f**2. Let q(p) = p**2 + 4*p + 1. Suppose 3*a + 3 = -18. Determine a*q(m) - 6*v(m).\nAnswer: -m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fntff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 2 - (2 - -79). What is the common denominator of ((-2)\/(-5))\/(n\/1635) and 25\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 0, 14, 10 in descending order.\nAnswer: 14, 10, 4, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*b**3*g - 151279*b**3*j**2 + 311*b**2*g*j**2 - 140*b**2 - 2*b*g - 5*b*j**2 - 5*g - 2*j**2 wrt b.\nAnswer: -930*g - 907674*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.041?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82371234 and 828.\nAnswer: 494227404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*d - 6*k - 665 = -k, 5*d - 54*k = -57*k - 59 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + z**2 + 31*z - 12. Let l(o) = o**3 - 15*o + 6. Let h(s) = 9*l(s) + 4*v(s). Factor h(y).\nAnswer: (y - 1)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + b + 1087 = 0, -997 = -2*y + 3*b + 88. What is the greatest common factor of y and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9816331961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6450.7 rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 - 643\/4. What is the third smallest value in 3\/7, -3, f, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27950003?\nAnswer: 31, 901613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2290 is divided by 252.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h. Suppose -3*n + 7*n - 8 = 0. Let m(i) = i**2 - 4*i + 2. Let g be m(4). Let u(p) = -3*p**2 + 2*p**n - 2*p**g + 5*p**2. Calculate c(u(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 858193.8 months in centuries?\nAnswer: 715.1615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -320*r + 156*r + 160*r - 108 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/120*(5\/(-25))\/((-18)\/20).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 6*n + 6*n + (4 - 2 - 4)*(-27*n**2 - 52*n**2 + 12*n**2) as d + k*n**2 + p*n and give k.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b3 - 5?\nAnswer: 2ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 7*x - x - x**2 + x + 2. Let g be c(5). Suppose -3*f - 4*l = -16, -g*f = -6*f - 2*l + 8. Solve 5*w - 1 - 9 = f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14514 and 7891368.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7861 and 9?\nAnswer: 70749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -36*z + 2. Let w(t) = 4*t**2. Determine w(q(l)).\nAnswer: 5184*l**2 - 576*l + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbaaagapaoggbb. Give prob of picking 2 a, 1 o, and 1 g.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137418\/91 + -10569\/7. Which is the closest to s? (a) -0.3 (b) -4 (c) 5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25933 and 100?\nAnswer: 2593300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3 + 3868*d**2 + 1870178*d = 0.\nAnswer: -967, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from ojijoyjsoi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691586071.\nAnswer: 11, 43, 1462127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97 and -7227682.\nAnswer: -701085154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (200080\/(-4636) - -43)\/(15\/(-38)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.56959l?\nAnswer: 1569.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + -16.96. Let j = -0.8 + 19.8. Let g = r + j. Which is the nearest to g? (a) -0.3 (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274129 divided by 1.\nAnswer: -274129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2 + 14*c**4 + 15*c - 10*c**2 - 15*c wrt c.\nAnswer: 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 639\/71*1\/6 - 4\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) -0.3 (c) -3177 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0458966 to four dps.\nAnswer: 0.0459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l**4 + 70*l**3 - 126*l**2 - 36*l = 0. Calculate l.\nAnswer: -1\/4, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -59718, -59656, -59566, -59448, -59302, -59128, -58926?\n\"Answer: 14*s**2 + 20*s - 59752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3114 (base 6) to base 2.\nAnswer: 1010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 54*m + 4. Let h be u(4). Let z = h - 151. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 9. Let m be p(6). Let o = m - 37. Suppose 10*z = o*z + 2. Which is bigger: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 6760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -138 divided by -46\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.99988 - -11. Round q to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*d - 426. What are the prime factors of d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = -5*l, -l = -c + 3*l + 2. What is the common denominator of 103\/20 and ((296\/14)\/4)\/c?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - w + w)*(5 + 9 - 4) to r*w + l and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40216 (base 9) in base 2?\nAnswer: 110011100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -23*s**4 + 6*s**3 - 24. Let m(p) = -69*p**4 + 17*p**3 - 72. Let h(i) = -17*j(i) + 6*m(i). What is the derivative of h(y) wrt y?\nAnswer: -92*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.56 and -43.\nAnswer: -43.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 160.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**3 + 0 - 32*k**3 + 17*k**3 - 53*k**2 + 0.\nAnswer: -k**3 - 53*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1455 - 74191\/51. Let i = -1\/17 - u. What is the closest to 0.1 in 3, i, -5\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42958761 is divided by 3108?\nAnswer: 3093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3076 - 3080 + 6156 - 2*i - 61*i**2.\nAnswer: -61*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 5\/4 (b) -7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011011010111011000 (base 2) to base 15.\nAnswer: 75d3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -6\/5, 3, 29597?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9138, -9136, -9132, -9126?\nAnswer: -9118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, s: 1, b: 3}. Give prob of sequence bbsx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 7. Let o be a(-2). Calculate the greatest common divisor of o and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 11, 2, 1 in descending order.\nAnswer: 11, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2200, 2193, 2182, 2167, 2148, 2125, 2098?\nAnswer: 2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.4, -3\/2, -3, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24258*z**3 + 59296*z - 59296*z)*(1 + 2 - 4) as p*z**2 + c*z**3 + l*z + h and give c.\nAnswer: 24258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12904, 12901, 12898, 12895, 12892, 12889?\nAnswer: 12886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*q**2 + 0*q + q - q.\nAnswer: -31*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 817646.7ml?\nAnswer: 817.6467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5359*p*q**2 - 29*q**2 - 135*q + 3 wrt p.\nAnswer: -5359*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.09, 0.27, 0.1 in decreasing order.\nAnswer: 3, 0.27, 0.1, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + b + 60. What is y(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/17)\/s*s\/s**(20\/7) assuming s is positive.\nAnswer: s**(-312\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*r - 342*r - 592*r - 10975 = 25439 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.6 - -60.9. Let o = 3.5 - z. Let s = 28 + o. Which is the second smallest value? (a) 2 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5792851, 5792850, 5792849, 5792848, 5792847, 5792846?\n\"Answer: -l + 5792852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12281 is divided by 267.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 6 = 5*j + 3*d, -d + 10 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140030 (base 7) to base 14.\nAnswer: -98c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35108645 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3627 by -12.\nAnswer: 1209\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*k - 102 + 179 = 100, -2*k = 3*o + 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*4\/(-44))\/(23550\/(-10362))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 44985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/5 + 14*m**4 - 74*m**3\/5 - 14*m**2 + 72*m\/5 = 0. Calculate m.\nAnswer: -36, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 5*b. What is the remainder when c(-10) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100307 is divided by 33282?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 62*p**3 - 60*p**2 - 8*p + 9. Let n(b) = -45*b**3 + 45*b**2 + 6*b - 7. Calculate -10*j(k) - 13*n(k).\nAnswer: -35*k**3 + 15*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*l - 6, 2*w = -2*w + 2*l - 6. Let p(m) = m**3 + m**2 + 1. Let k be p(w). Which is bigger: 2\/17 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 40 - 28 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, q: 7}. What is prob of sequence qppq?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m - 5726 - 1637 = 0. Let y = 511826219\/2571356 - 23\/62716. Let h = y + m. Is h at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m + 55. Let y(s) = -5*s + 27. Let n be ((-25)\/15)\/(-1)*534\/445. Calculate n*t(c) - 5*y(c).\nAnswer: 3*c - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggx when three letters picked without replacement from {q: 1, g: 9, v: 1, a: 1, y: 1, x: 2}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 9*c**2 - 6*c + 16. Let z be r(-8). Solve -3*l = z, -l + 6 = 3*g - 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*j - 4*d, d + 0*d - 48 = -5*j. Solve a - 2*z + 2 = -5, 2*a + j = 3*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/8 + -5 - (-11)\/4. Suppose 5 = m*s + 11. Let v be -3 - (-11 + (-6)\/s). Solve 5*q + v = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117741 is divided by 23458.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/18 and 87\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - -176. What is the remainder when w is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 289 and 7?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11025, 21995, 32961, 43923, 54881, 65835?\nAnswer: 76785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -432, -861, -1290?\n\"Answer: -429*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 474.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.395514 nanometers?\nAnswer: 0.006395514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 690 and 4283382.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 81*c + 65*c - 185*c. Let r(w) = -w**2. Determine b(r(z)).\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072089 - 12*q**2 + 1072089.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17956395089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -6*v + 9*v + 224, g + 5*v = 56. Calculate the greatest common factor of 230 and g.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(171)\/sqrt(144))**2.\nAnswer: -95\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*t**2 - 5*t**2 + 4*t**2 - 2*t**2 + 0*t**2 + 0*t**2 + (1087*t + 5889*t - 3825*t)*(0*t + 5*t - 2*t) to f*t**2 + j + h*t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*k**2 - 50*k + 847.\nAnswer: -66*k - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/7 + 11*k**3\/7 + 19*k**2\/7 + 9*k\/7.\nAnswer: k*(k + 1)**2*(k + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18c (base 13) to base 10.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-9))\/((-1)\/(-27)). Suppose -o - q = -48. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 14*r - 12*r + 215, 5*d = -3*r + 190. Calculate the remainder when 162 is divided by d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/r*(r\/(r*((r\/r**(-1))\/r)\/r))\/r)\/((r*((r*(r**(-45)*r)\/r)\/r*r*r)\/r)\/(r\/r**(7\/11))) assuming r is positive.\nAnswer: r**(488\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 75, 124, 171?\n\"Answer: -a**2 + 54*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 18. Let w = u + 19. Let f be 32\/6 - w\/18. Solve f*p = j + 22, -5*j = -5*p - 3*j + 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7420 and 20?\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 4*k + 7. Let v be q(-3). Suppose 26 + 13 = v*o - 3*z, -4*z = -12. Is 14 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 12*q + 23*q - 35*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 5*w + 3*l - 40, 186 = -5*w + l. Which is the closest to -2? (a) w (b) 4 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46536260.\nAnswer: 2, 5, 2326813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*n - 1, -2*i + 2*n - 32 = 0. Let h be (-10)\/45 + (-1141870)\/i. Let r = -50563 - h. Round r to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386 is divided by 1360?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 9 - 11. Which is greater: o or 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from {c: 2, r: 3, k: 5}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.29, 1\/187, -331, -2\/13?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1.57 (c) -2\/37 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffjjajbfafjabffjf. What is prob of sequence jbfb?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187316037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2\/3 - 1120*d + 3372 = 0.\nAnswer: -843, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7510400 rounded to the nearest ten thousand?\nAnswer: -7510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 - 3*q + 10. Let f(v) = -11*v**2 - 6*v + 21. Let k(s) = -3*f(s) + 7*h(s). Let u be k(-3). What is the nearest to 0.1 in u, -2\/9, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*s = 20, k - 9*s = -6*s + 13. Factor 2\/3*z**2 + 0 + 4\/3*z**3 + 0*z + 2\/3*z**k.\nAnswer: 2*z**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/813 and 38\/1895.\nAnswer: 1540635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 899 + (-7)\/(56\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -235.9541 - 0.0459. Let y = -232 - u. Suppose -4*h = 4*x + 28, 3*h = x - 1 - 8. Which is the second biggest value? (a) y (b) -5 (c) -14 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/9)\/(10\/15). Suppose -8*f + 19770 = -m*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2. Let b(j) = 35*j + 16. Let g(t) = 12*t + 6. Suppose 0 = 306*z - 315*z + 72. Let m(u) = z*g(u) - 3*b(u). Calculate m(k(i)).\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 74d?\nAnswer: 74e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8019)\/(-990))\/81)\/((-1)\/(-8))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 8744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -254, -255, -256, -257, -258?\n\"Answer: -j - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - t + 0 + (t - t + t)*(-4 + 3 + 0))*(2 - 1 + 2) in the form x + m*t and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 727088 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + j**2 + j - 3. Let c be r(0). Let q(a) be the first derivative of -a**2 + 3*a + 7. Let g(h) = -3*h - 2*h + 6*h - 2. Determine c*q(w) - 4*g(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31931167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:30 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 + 116. Suppose -c + 5 = -u*x, 2*x = -x + 3*c - 15. Put x, 3\/7, 20 in descending order.\nAnswer: 20, 3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3469, -13889, -31255, -55567, -86825, -125029, -170179?\n\"Answer: -3473*p**2 - p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 83\/(10\/(-2) + 4). Let u = g + 89. Solve -l - u = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3 + 8045696*o**2 - 96548568*o + 289645920 = 0.\nAnswer: -4022860, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from cycycycccccycc.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -36*d**2 - 11. Let l(j) = 12*j**2 + 4. Let m(h) = -3*i(h) - 8*l(h). Let z be m(1). Solve 0 = 2*k - 3*w + 10, -4*k + 1 - z = -2*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-2)*((-54)\/8)\/(-9). Let o(v) = -7*v**3 + 13*v + 7. Let u(q) = 8*q**3 - 15*q - 8. Let w(y) = -7*o(y) - 6*u(y). Determine w(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2080\/3744*5*-3*(-42)\/(-70).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147 + -122. What are the prime factors of -1 + (-4404)\/(-15) - 15\/x?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlmvmvnvmtvvnlvv. What is prob of picking 1 v, 1 n, and 2 l?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -108*g**3 + 10*g**2 + 58. Let l(y) = -y**3 - 2*y**2 + 1. Let f(v) = -5*l(v) - n(v). Differentiate f(q) wrt q.\nAnswer: 339*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -0.1. Put 0, u, -2 in descending order.\nAnswer: 0, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990*q = -2055*q + 1018*q - 1128 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*y + 100*y + 87*y + 668*y to the form d*y + u and give d.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-80 - 12) + 17 - (2 - 10)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1617\/28 - 1\/(12\/(-15)). Suppose 3*f + 45 = 7*f + 3*p, p - b = -5*f. Solve i + 2*n + f = 0, -2 = 2*i + 2*n + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -40*d + 751. Let k be (266\/56)\/((4 - 1)*15\/180). Give q(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -47413981 and 23.7.\nAnswer: -47413957.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*k**3\/7 + 230*k**2\/7 - 204*k\/7.\nAnswer: -2*k*(k - 1)*(13*k - 102)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 805342 and 518?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from snnsnsd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 (base 9) in base 14?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b + 502207 + 578333 = 376753. Is 113 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(15\/18) - 1*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 472309*n + 5667711. Give j(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15331039, -15331040, -15331039, -15331036, -15331031, -15331024, -15331015?\n\"Answer: b**2 - 4*b - 15331036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6426253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 13 + 6 + -32 + 1 + (-4 - 6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 331*y**4\/3 + 2*y**3 + 172*y**2. Let z be 2\/(-4) + 26\/4. Let m be q(z). What is m rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + o - 26, -71*v - o + 21 = -67*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.866 * -2040.\nAnswer: 7886.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -2, -78, -242, -524?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 5*z**2 + z + 7. Let g(q) = -6*q**2 - 5*q - 4. Let h be g(-1). Determine w(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -238*g**3 - 8*g**2 + 13*g - 20. Let u(f) = 236*f**3 + 9*f**2 - 14*f + 24. Let s(j) = 6*a(j) + 5*u(j). Find the third derivative of s(v) wrt v.\nAnswer: -1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.3 - -38.4092. Round h to 3 decimal places.\nAnswer: 0.109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -19 (c) 2\/2821 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 5*b + 4. Let s(w) = b + 1 - 754*w + 1 + 1. Is s(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g - 2*g + 2 - 10*g + 25*g.\nAnswer: 31*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/5 of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*n - 1295 = 1837 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3875 + -3870. Solve w*b - 134 = -129 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*h + 10904, 187*a = 184*a + 4*h + 16316. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1648 and 112.\nAnswer: 11536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-10))\/((-63)\/270*((-396)\/112)\/(-11)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7506, 15011, 22516, 30021, 37526?\n\"Answer: 7505*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwwwdddddwdwdwwddwdw?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13018.\nAnswer: 2, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -36. Suppose 3*y - 1413 = 3*p, n*y - 1437 = y - 3*p. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.480449 + 0.5194389. Let f = j - 0.039. What is f rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21238 times 2.6?\nAnswer: -55218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*d - 39 - 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (50\/(-14) - 48\/(-84))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, -24, -72, -158, -294, -492?\n\"Answer: -2*z**3 - z**2 - 5*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j + 138 = 9*j + 13*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/390)\/((-46)\/92))\/(6\/10).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v + 16. Let g be c(6). Sort g, 0, 2 in increasing order.\nAnswer: 0, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 7*y**2 + 7*y + 8. Let j = 50 - 56. Calculate v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 6988\nAnswer: -34940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 68, 74, 80?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 3 = -2*l, 3*n + 2*n + 4*l - 22 = 5*n - 4*n - 2*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + k**2 - 11*k - 6. Calculate u(-6).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 17 + 8 - l - 2*l**3 - l to g*l**3 + z + s*l + q*l**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 4*(57\/(-2) + 2). Let v = -100 + h. Suppose 5*t = -v*t + 240. What is the highest common factor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 10:03 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 597*h**2*l**4 + 32*h**2 + 2*h*w + 6*h - 2*l**2*w + l**2 - 2 with respect to l.\nAnswer: 2388*h**2*l**3 - 4*l*w + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814434 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 12:43 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2 = -2*s - 3, 0 = -s - 3*v - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 5*g**2 - 4*g - 6. What is m(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 282917, 565844, 848771, 1131698, 1414625, 1697552?\n\"Answer: 282927*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 + 6 = t + 5*f, 4*f - 588 = 4*t. Let m = t + 261. Does 27 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -515908, -515896, -515888, -515884, -515884, -515888, -515896?\nAnswer: -515908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71970753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(77*q**2 + 2586 - 2586)*(3 + 2 - 2)*(5*q - 3 + 3).\nAnswer: -1155*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**3\/6 + 2*w**2 - 8*w. Let h be a(5). What is the tens digit of 24 + 1 - (-2)\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/15985 - 303673\/335685. Calculate the common denominator of 125\/5478 and a.\nAnswer: 38346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55793 or 55741?\nAnswer: 55793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/10 - 1\/(-2). Suppose -w - 4 - 1 = -2*z, 0 = 5*w + 4*z - 17. Solve b - w = a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*u**2 + 66*u - 6*u**5 - 66*u wrt u?\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 5*w - 5. Suppose 0*h + 54 = 4*k + 2*h, -2*h - 58 = -3*k. Let o be (-108)\/(-20) + 4\/(-10). Suppose o*l - k = 4. What is c(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -191, -192?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((18 - -4) + -18)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from qvpkqbkkbk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17421, 17418, 17415, 17412?\nAnswer: 17409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 2:34 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305 - 305.4. Let x = -4 + 6. What is the second smallest value in x, o, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36457821 + 55224405 = 54*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 2.5. Let t = 0.5 - g. Which is the third smallest value? (a) -0.2 (b) t (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18994 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**2 - 6. Let j be -3 + 0 - 24\/(1 - 5). Suppose -4*b + j = -21. Let z(i) = 0*i + i + b*i - 5*i. Give f(z(n)).\nAnswer: 28*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3281577 - 1871577. Round n to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*b - 2569 = -5*h, 6*b - 3*b + 5*h - 31 = 5*b for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/454 - -10312\/2497. What is the common denominator of f and (-8)\/48 + 501\/(-720)?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9312 and 95808840.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -8?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 765?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*a, -4*i = 3*a + 22 - 90. Calculate the remainder when (8729\/116 - 22) + 6\/8 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/49 - (-2)\/7. Suppose -40 = b*r + 2*r. Which is bigger: r or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 3*v - 4. Suppose 2*p - 7 = 3*p. Let f = p - -3. Determine o(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18042 times -2.5?\nAnswer: -0.45105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155 - 1087\/7. Let k = 61.804 - 60.804. Put -0.2, -3, k, l in ascending order.\nAnswer: -3, l, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7\/13602?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-15))\/(((-33)\/30)\/(-11)). Solve 4*r = -p*c, 3*c - r - 12 = 2*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-8))\/(21\/(-210)). Let f(y) = -y**2 + 8*y + 2. Let w be f(8). Let g(h) = 24*h - 3. Let u be g(w). What is the highest common divisor of u and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000078085 to seven decimal places.\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 12*y - 3. Determine h(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212001 - -1002021012?\nAnswer: 222102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533\/6*s + 79\/6*s**2 + 1\/2*s**3 + 169\/6 = 0.\nAnswer: -13, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m + 4 + m - 3. What is the remainder when 61 is divided by y(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*-4*(sqrt(121) - (sqrt(121) - (sqrt(121) + (sqrt(121) + sqrt(121)*1 + sqrt(121) - sqrt(121))))))\/(sqrt(99)*1*-6).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, -63, -1, -5 in descending order.\nAnswer: 5, -1, -5, -12, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, -18, 106, -1\/6, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + a + 5. Let r be b(0). Suppose r*h - 4*c - 695 = -0*h, 0 = -c + 5. Suppose -2*f + f + h = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/7)*m)**(-17\/4))**(42\/11)*m\/((m\/(m**(-2)\/m))\/m)*m\/(m*m\/m**(-5)*m*m)*(m\/(m*m\/(m**1*m)))**(2\/121) assuming m is positive.\nAnswer: m**(-3452\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 20965 = -6643. Calculate the greatest common divisor of t and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 8:03 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-3))\/((-1)\/(-3)). Suppose 3*z + 3*s = -15, -3*z + 5*s + 10 + 7 = 0. Put z, -2, r in ascending order.\nAnswer: r, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 8*b = 83 + 73, 6*v - 3*b + 165 = 120 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 + -11)\/((-8)\/4). Solve 70 = j*k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 0 + 6\/2. Suppose 2 = 2*t - n, -4 = n - 0. Let p = t - -1. What is the closest to -2 in 3, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 7*g - 20 = -56, -308*g = -5*z - 306*g - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2\/2 - 27*f\/2 - 33 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) + 1 + sqrt(13)) + sqrt(26)\/(-3*sqrt(2)).\nAnswer: -31*sqrt(13)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 + 81065*s\/2 + 81064.\nAnswer: (s + 2)*(s + 162128)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.49 and 204067.\nAnswer: 99992.83","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort 254, 8, -5, -2, 0, -354.\nAnswer: -354, -5, -2, 0, 8, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7100617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -8. Let d be (j\/(-48))\/(5\/8). Let u = 0.4714 - -0.0286. Which is the closest to -15? (a) u (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -50.1 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j - 90. Let m be (-4)\/j - (-129)\/27. Suppose 3*h + p = 4*h - 17, 0 = -m*h - 3*p + 69. Solve h = a + 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -5*y + f, 22*y + 4*f = 18*y + 124. Suppose 0 = 5*n - 16 - 9. Suppose n*a - 83 = 657. Calculate the greatest common factor of a and y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -648*x**3 + 972?\nAnswer: -1944*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2771 is divided by ((432\/20)\/(-6))\/(2\/(-75)) - 3?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 1\/4, -226, 0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2114 and 755.\nAnswer: 10570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24016, -96054, -216118, -384208, -600324?\n\"Answer: -24013*o**2 + o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 837 and 1161.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.32, -0.1, 3, 14\/9 in increasing order.\nAnswer: -0.1, 14\/9, 2.32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1490 and 383077510.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1306*v**2 + 1810*v + 504.\nAnswer: 2*(v + 1)*(653*v + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 122 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 5*d + d + 2*d - 3*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 73*f**2 + 5*f + 2. List the prime factors of z(3).\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v**3 + 6*v**2 + 3*v + 7. Let u(c) = c**3 - c**2 - c - 1. Determine o(w) + 6*u(w).\nAnswer: -2*w**3 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*g - 22 = 0, 0 = -4*f + 17*g - 12*g - 32 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2594, -2602, -2610?\n\"Answer: -8*w - 2586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2643\/2 - -1322. Sort m, 79, -1 in descending order.\nAnswer: 79, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 70. Let n(z) = 6*z. Calculate d(n(l)).\nAnswer: -72*l**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 115*d**2 - 1022*d + 64088. Calculate p(111).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4449321 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 2*m**2 + 4*m + 1 + 0*m - 2*m**3 + 0*m**2. Let b(a) = 10*a**3 - 11*a**2 - 16*a - 5. Determine 2*b(s) + 11*v(s).\nAnswer: -2*s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/70 and 19\/4715380.\nAnswer: 33007660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 45285.4851 to the nearest ten.\nAnswer: 45290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 84*j - 4 - 3 in the form l*j + p and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 463565485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 401205 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8468 * -16.58.\nAnswer: -140399.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 3, 15*d = 4*s - 5*d + 21*d + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89 and 356.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**5 - 78*m**4 - 3469*m**2 wrt m.\nAnswer: 240*m**2 - 1872*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 - -222. Let c = -3 - -2.9. What is the closest to c in -3\/8, p, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41711040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x. Suppose 0 = 3*s - 5*r - 20, 4*s - 4*r = -x*r + 16. Suppose -3*d + 210 = -s*d. What is the highest common divisor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70191 + 2.3.\nAnswer: -70188.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292330827 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - 9.8. Let t = -14 - m. Let d = -1273\/3195 - 1\/639. Which is the third biggest value? (a) d (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/((-3311)\/(-172))*(-4)\/6.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16\/20)\/((-3)\/5)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -7, 1 in increasing order.\nAnswer: -9, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(12\/11)\/w))\/w**(-26)*w**(-1\/6)*w\/w**(34\/7)*w assuming w is positive.\nAnswer: w**(11035\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-865)\/(-5)*(24\/(-4))\/(-6). Suppose -177*a + 172 = -s*a. Calculate the remainder when 83 is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * 0.28\nAnswer: 0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -38. Let b = f - -8. What are the prime factors of 20\/b*9\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1088, 5, 1, 10 in ascending order.\nAnswer: 1, 5, 10, 1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008669 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*u - 2 + 4 = 0, -4*z + 2*u + 6 = 0. Let q be -2*z + -1 + 12. Solve 21 = -4*f - 3*o + q, -35 = 5*f - 5*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -725.\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1362*m**2 + 648*m + 25*m**3 - 648*m - 108*m**3.\nAnswer: -83*m**3 - 1362*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003575749636 to 6 decimal places.\nAnswer: -0.000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 1. Suppose -6*v + 4*h = -11*v - 20, -h - 5 = -v. Let g be (-140)\/112 - (v - 7\/(-4)). What is l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-5) - (-35)\/(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 70. Let z be (d\/(-4))\/(7\/(-14)). Let j(x) = -x**3 + 10*x**2 + 12*x - 7. Let c be j(11). Solve 0 = -c*t - z + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 19*s + 112. Calculate x(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*b**2*h**3 - 396*b**2*h - 245490*b*h**2 - 137*b*h - 1339*h wrt h?\nAnswer: -390*b**2*h - 490980*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -109600 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 3\/7, -0.2, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(4) - sqrt(25) - sqrt(25))*-2)\/((sqrt(180)\/sqrt(4))\/sqrt(9)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.3 + -19. What is the third smallest value in 3, -4, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i**3 + 37*i**2 + 2*i + 25. Let j(w) = 4*w**3 + 19*w**2 + w + 10. Calculate 5*j(d) - 2*z(d).\nAnswer: 2*d**3 + 21*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**4\/12 + 4*w**3\/3 - 7*w**2. Let h be q(3). Suppose -h*l = -4*t - 58, -5*l + 4*l - 5*t = -22. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10307*r*s + 2252*r + 781963988*s with respect to r.\nAnswer: 10307*s + 2252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209253.\nAnswer: 3, 11, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/(8\/36). Let m be (-1)\/(l\/9) + 0. Let a = 8 + -7. What is the third smallest value in -4\/7, a, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 92393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-216)\/30*-3*(-5)\/(-3). Suppose -3*b + 19 = 5*q + 88, 2*q + 4*b + p = 0. Is q at least -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence supq when four letters picked without replacement from {u: 1, n: 1, w: 2, p: 2, s: 1, q: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 65120 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*o + 55*o = h + 30, -226 = 29*o + 6*h - 3*h for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*h - h - 20, 13 = 2*s - 3*h. Solve d + y + s = 6*y, -4 = 2*d + 3*y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 9*f**2 + 9643*f - 57745. What is l(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 - -4.88. Let a be (1\/(6\/153))\/(-14). Let o = a + 18\/7. What is the biggest value in r, -2, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(18\/1188*-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0351668 to 4 dps.\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(128) + sqrt(128)*1 + -3)**2*1.\nAnswer: -64*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 139*g**2. Let a(v) = 2*v. What is a(m(f))?\nAnswer: 278*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = b + 117, -6*b = -5*j - 7*b + 103. Let w(c) = c**3 + c**2 + 86. What is the remainder when w(0) is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499448581 to the power of 1\/2, to the nearest integer?\nAnswer: 22348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*o + 3*o. Suppose 91 + o = 2*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(25)\/(sqrt(15)\/sqrt(3)) + (sqrt(605) + (sqrt(605) - 2*sqrt(605)) - sqrt(605)).\nAnswer: -10*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5621 and 7.\nAnswer: 5621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14779 (base 10) in base 5?\nAnswer: -433104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 + 7*o + 20. Is f(-7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mumtktmktm. What is prob of sequence muk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674506 is divided by 371.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -13 + 7 + 13 + -20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/237 + 460\/1659. Which is the nearest to f? (a) 3 (b) -10 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 - 7*d + 20*d - 61 to the form g*d + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {t: 1, j: 1, q: 3, p: 4, g: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -9 - 15. Let i = 263 - 254. Let l(n) = 15*n**3 + 9*n - 9. Let u(k) = 7*k**3 + 4*k - 4. Determine g*l(a) + i*u(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -26. Calculate the greatest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 977664*o**2 - 1 + 977663*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29272, 23881, 14894, 2311?\nAnswer: -13868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teet when four letters picked without replacement from eettttteeeeett?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1419, 1436, 1475, 1548, 1667, 1844?\n\"Answer: 2*s**3 - s**2 + 6*s + 1412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4))**(8\/15) assuming f is positive.\nAnswer: f**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 246, 371, 496, 621, 746?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 4. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 25.660384741.\nAnswer: -25.560384741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 111 + 85\/4*j**4 + 0*j - 155\/3*j**3 + 75\/2*j**2 - j**5. Solve c(u) = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 276733?\nAnswer: 27673.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**2 - 41*d**2 + 15*d**2 + 7*d**2 + 8*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agogaeq. What is prob of picking 1 a, 1 o, and 1 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**5\/5 + 2*c**4 - 7*c**3 + 9*c**2 + 545. Factor o(k).\nAnswer: -k*(k - 3)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-2)*(-98)\/28. Let w(l) = -5*l - 15. Let f be w(g). What is the highest common divisor of 50 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4659 is divided by 425?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1472064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18308 + -2556. Suppose -z = 16*o - 24*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 72 = -6*b + 5*b, -b = 5*n - 91. Suppose 18*k = 20*k - 76. Calculate the greatest common divisor of k and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(2))\/sqrt(9)*2.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5\/9 + 20*w**4\/9 - 16*w**3\/3 - 20*w**2\/9 + 50*w\/9 = 0?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 42. Let k(l) = 3*l + 38. Let x be k(a). Suppose 0*v - d = v - 1189, x*d = -4. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76396321579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -489 - -490. Let h(w) = -w + 1274. Let f be h(0). What is the units digit of (f\/13)\/(2\/z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3458*l**2 + 228*l + 228. Let u(z) = 76*z**2 + 5*z + 5. What is -5*h(k) + 228*u(k)?\nAnswer: 38*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2895*a - 8 = -2898*a + m, 3*m + 14 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - 508*f + 19091. Determine t(113).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -0.52. Let y = d + 0.0698. Round y to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 105705?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-5 - -14) - (2 + -6 - -32)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194399 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*o = -2559 + 3375 + 4170 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -14306861 and -14306897 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -240.3 - -395.7. Round t to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 28 + 13 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n\/(n**26*n))\/n*n*n))\/(n\/(n\/(n**3\/n)*n)) assuming n is positive.\nAnswer: n**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9))**(-6\/13)*(y*y\/y**1)**(-4\/9) assuming y is positive.\nAnswer: y**(434\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-335.\nAnswer: -100.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -0.5, -2685?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = b - 52, -4*b = h - 2*b - 14. What is the remainder when 12 is divided by (h\/(-4))\/(-3 - 10\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q - 4. Which is smaller: -3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11803 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -216601236 and 11.58.\nAnswer: -216601224.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -95, -197, -299, -401, -503?\n\"Answer: -102*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-434)\/35)\/((-1)\/10).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -53. What is the second biggest value in -3, -4, -5, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0984 and -14.274326647?\nAnswer: 14.372726647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25349515.\nAnswer: 5, 19, 266837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.29919473 to 2 decimal places.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 0.3, -0.5, 117, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1209 + 1209 + 4*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2515628*t - 59272 = 2516584*t for t.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -49.\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -356818 at least -356818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -84. Put 1, 10, d in decreasing order.\nAnswer: 10, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 7*r**2 - 66*r + 3. Give n(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*c - 15 = -2*p, 0 = p + c + 19. Let x be p\/(-36)*(-2)\/5. What is the second smallest value in -0.2, 5\/3, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 817190521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 5.6. Which is the third biggest value? (a) t (b) 1\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let b(n) = 27129106*n. Give t(b(w)).\nAnswer: -27129106*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4665, 4662, 4659, 4656?\nAnswer: 4653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 2:15 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6423, -6419, -6413, -6405, -6395?\nAnswer: -6383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 855676277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**5\/140 + 353*h**4\/84 - 59*h**3\/7 - 9*h + 47. Suppose c(z) = 0. Calculate z.\nAnswer: -354, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 30457.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 3, 68?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -357 - -157. Let d = -1741\/9 - w. What is the common denominator of 230\/36 + 6\/27 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -32. Let s(o) = 2*o**2 - 7*o + 6. Let g be s(t). Suppose 6*h = g*h - 60. Is 14 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 35 = 2*f. Suppose 4*d + 24 = 3*b, -2*d + f*b + 2 = 2*b. Round d to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/246 and 101\/8.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + o**2 - 7*o - 3. Let j be h(-3). Solve j = -8*u - 10 + 34 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62243178*s**3 - 64*s - 62820?\nAnswer: 373459068*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.07809, 4, -27 in descending order.\nAnswer: 9, 4, -0.07809, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-10) - 2\/(-10). Let w = 23 + -20. Suppose -w*u + p + 9 = d, -5*u + 35 = -2*p + 7*p. Solve u*o = 5*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 6*g**2 - 136*g - 955. Determine f(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116344936009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 4*q - 25 + 53.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -y + 4*m, -m + 3*m = -3*y - 41 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 6 (b) 108 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -371*v - 11. Let j(p) = 711*p + 21. Let w(r) = -23*a(r) - 12*j(r). Suppose k - 10 = -k. Let g(c) = 6*c + 8. Calculate k*g(o) - 40*w(o).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17019116 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 251831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 235.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 254, 2, 2\/7, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11)*-1 + sqrt(11) + (sqrt(55)\/sqrt(5) + -1)**2)*-2.\nAnswer: -24 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + -2 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860698*q**3 - 3 + 4 - 859914*q**3.\nAnswer: 784*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11 - 12*d + 0*d**2 - 10*d + 11 - 2*d**2. Let y(a) be the third derivative of -a**5\/60 - 3*a**4\/8 + 3*a**3\/2 + a**2. Determine 5*n(f) - 12*y(f).\nAnswer: 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 163fec3 + 12?\nAnswer: 163fed5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -252221 * -20.\nAnswer: 5044420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 = 2*k + 4, -a = 2*k - 11. What is the lowest common multiple of 3 and ((-8)\/k)\/(1\/(-3))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 5071?\nAnswer: 3\/5071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 7*o - 21)*(-2*o**2 + 0*o**2 + 3*o**2).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 160 = -3*i. Suppose -2*b = -3*x + 715, -2*x - 17*b + 485 = -10*b. Calculate the remainder when x is divided by i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 244244*c**3 + 22090*c + 15.\nAnswer: 1465464*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3744 and 25929696?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 158998110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(5 + 2 + sqrt(343)*-2 + sqrt(343)) + 4)**2*-6.\nAnswer: -20922 + 5040*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or 0?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 8. Calculate n(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 6)*(3 + 1 - 1)*(5*n**3 + n**2 - 2*n**2 - 2*n**3) + (3*n - 216*n - 166*n)*(4*n**2 - 2*n**2 - 3*n**2).\nAnswer: 361*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-19)*8\/(-156).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by 9\nAnswer: 118\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 334319 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -6 - (2 + -10 + 17)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213.5 - 214. Let c = -234\/35 + 32\/5. What is the nearest to c in 3\/8, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51395530 is divided by 4092?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f + 14. Suppose -7*j + 5*j + f = 0. Solve 0*m - 8 = 2*m + 5*b, -5*m = -b - j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2 + 4. Let j = 3 - c. Suppose 0 = j*d + 6 - 86. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106052072.\nAnswer: 2, 7, 19, 29, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26068008*b**3 + 212059*b**2.\nAnswer: -156408048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272087 and 205623?\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49978531 a multiple of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -19. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188154000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -765.67 + 772. Round n to 1 decimal place.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -11245*f - 22516. What is t(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 57 = -u + u - 3*c, 4*u - 203*c + 96 = -209*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*1 + 6 + -8. What is the nearest to -1 in 5, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*n**4 - 240*n**3 + 74*n**2 - 6*n.\nAnswer: 2*n*(n - 3)*(6*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/30960 and 139\/720.\nAnswer: 30960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 537 - -16132?\nAnswer: 16671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2110 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774 = -x + 4*k, 5*x - 2*k - 3311 = 469. What is the remainder when x is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 2, b: 4, w: 3, u: 1, m: 1}. Give prob of picking 1 w and 1 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -332030 (base 4) in base 13?\nAnswer: -1a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219834883?\nAnswer: 19, 97, 101, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.1 + -3. Let x = z + 4.3. Let w = x - 0.4. Sort 2, -1, w.\nAnswer: -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 299, 80 in ascending order.\nAnswer: -9, 0, 80, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(28\/12 - 3). Let r be (g + 7)\/(-4) - 1. Put r, -4, 4 in decreasing order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 29*g + 18. Let v be k(14). Let c be (v\/(-6))\/(1 + 52\/(-48)). Suppose c*n - n = 168. Solve -3*f + 9 = n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/97 - 197\/291. What is the second biggest value in o, -11, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7229209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/18 and -13\/1798?\nAnswer: 16182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -33. Let k = r - -31. Suppose 3*p - 4 = 2*b, -3*b = -2*p + b. Solve w - k = p*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117.1569 - -138.156955. Let r = g + -21. What is r rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 209\/19*3*6\/18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 19\/(-4))*(-1)\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185 + -183. Is (-6 + s)*3*(-1902)\/72 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6162.7 - 5912. Let m = j + -246.706. Let s = -4 + m. What is s rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*p + 120*p - 323*p - 9138*p**3.\nAnswer: -9138*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66.9 - 9.9. Let l = -57.3 + g. What is the third smallest value in 0.2, 12, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*h = -2615*h - 41364 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1155546, -1155565, -1155584, -1155603, -1155622, -1155641?\n\"Answer: -19*n - 1155527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 10 = 1158. Suppose -1430 = -3*i - p. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13670 and 33130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/19 - 27858*p**3\/19 + 91458944*p**2\/19 + 39150247008*p\/19 + 269560680704\/19 = 0. Calculate p.\nAnswer: -376, -7, 7156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -13. Let s(d) be the second derivative of -d**4\/12 + 2*d**3\/3 + 5*d**2\/2 - d. What is s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13877 * 26.8.\nAnswer: -371903.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h - 7. Let j(n) = -n**2 - n - 2. Let c(v) = -b(v) + j(v). Let o be (60\/36)\/((-1)\/6). Calculate c(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 10 = -22. Let f(k) = -6*k**c + 10*k - 3 - 2*k**2 + 11*k**2 - 4*k**2. Determine f(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 386, 198, 20, -148, -306, -454, -592?\n\"Answer: 5*p**2 - 203*p + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -125?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*q - 18 = -43*q - 4*v, 4*q - 4*v = -48 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/3 + 7791568*h**2\/3 - 2597190*h = 0.\nAnswer: -3895785, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13321\/5709*(-10)\/((-10)\/5)*3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 2\/333417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 303643259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/14)\/p)\/p)**(-39\/2)*p**(-1\/5)\/p**(-2\/49) assuming p is positive.\nAnswer: p**(42159\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(5*sqrt(80)*-2*5 + -2) + -3)*3)**2.\nAnswer: 97200*sqrt(5) + 16200729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**3 - 21*z**3 - 2*z + 2*z.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1179+-135\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**6\/144 + n**4\/6 + 3*n**2. Let o(i) be the second derivative of y(i). Let p(q) = 2*q. What is o(p(k))?\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-2\/9)\/k*k))**(7\/4))**(11\/3)*((k*k*k**(-5)*k*k)\/(k\/k**(2\/27)))\/(k*k**(6\/5)*k*k**(-7)) assuming k is positive.\nAnswer: k**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 2179 in decreasing order.\nAnswer: 2179, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*p - 36, -2*p + 3*x = -0 + 2. Suppose -2*d = 0, -n + p*n - 8 = -5*d. What is the first derivative of 2 - 17*o**2 + n + 13*o**2 wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 10402706\nAnswer: -104027060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8606221mg in nanograms?\nAnswer: 860622.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**8\/504 - 4*a**7\/315 - a**6\/45 - 28*a**2. Factor w(s).\nAnswer: -2*s**3*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - 0 - (14 - (-7 + 9)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28791 is divided by 576.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 27, 70, 131, 210, 307?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-16)*-1)\/((-1)\/((-40)\/20))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 461 - 470. Let x be (12\/(-15))\/(2\/10). Let p = x - l. Solve h - 3*f + 8 = 0, 2*h - p = 4*f - 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*(0 + 3\/(-6)). Suppose -n*s - 35 = -140. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 + 36*s**2 - 92*s - 17. Calculate o(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (8 - (-4 + 10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**4 + 2*v**3 + 141314*v**2 - v + 483272.\nAnswer: 8*v**3 + 6*v**2 + 282628*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*a + 251 = 2*b, 5*b - 4*a = 1284. List the prime factors of b\/14 + 16\/(-56).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 26*i + 76. What is c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -372 + 370. Put -1\/3, q, 3, -11 in increasing order.\nAnswer: -11, q, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**12\/r)**(-7)\/(r**(-2\/7)*r\/r**(-31)))**(-21) assuming r is positive.\nAnswer: r**2283","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**7\/42 - 19*c**4\/12 - c**3\/6 - 17*c**2\/2 - 12*c. Find the second derivative of x(s) wrt s.\nAnswer: -20*s**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 1, -2.9, -609, 4\/3?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 63\/8 of a millimeter?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from sslylydsxsvydddyl.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60 + 2025?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 771 + -699. Let w be 16\/b + (-52)\/(-9) + 786. What is the highest common divisor of w and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(27) + sqrt(27)*-2))**2 + 2.\nAnswer: 432*sqrt(3) + 1118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12\/11 (b) 0.1 (c) 0.2 (d) 1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5505843*i. Let t(w) = 19*w. What is q(t(z))?\nAnswer: -104611017*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-5) + 3\/135. Factor -10\/9*q - d*q**3 - 4\/9 - 8\/9*q**2.\nAnswer: -2*(q + 1)**2*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o**4 - 2578233*o**3 + 7*o**4 - 9*o**2 - 21*o**5 - 10*o + 2578260*o**3 = 0 for o.\nAnswer: -5\/7, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*q**3 + 22*q**2 + 3321*q + 2 wrt q?\nAnswer: -180*q + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.15 (c) 0.69 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3674 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -588.1361709833 + 14.1361720953. Let r = -574 - c. Round r to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1809187 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*u - 7*u**4 - u**3 - 10*u**4 + 1 - 29*u**2 + 15*u**4 as h*u**4 + q + o*u**2 + p*u**3 + c*u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -25*w**2. Let h(v) be the first derivative of v**4\/6 + 9*v - 8. Let s(t) be the first derivative of h(t). Give d(s(g)).\nAnswer: -100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -9 + 2. Suppose -n + 2102 = 2*k, 4*k = -4*n + h*n + 4184. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 3*v - 40. Suppose 3*q - 6*s + 51 = 0, -72*s = q - 69*s - 18. Let k(t) = 2*t**2 - 2*t - 39. What is q*k(a) + 2*l(a)?\nAnswer: -2*a**2 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from {x: 13, m: 3, g: 3}.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjrjrjrjjrjjjrjjj. What is prob of sequence jj?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3300, -3308, -3340, -3408, -3524, -3700, -3948?\nAnswer: -4280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -2a00?\nAnswer: -2a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -19*n + 10. Let x = 27 + -35. Let g be u(x). What is g rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 2\/66698869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 8 - 10 + 2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z**3 - 3*z**2 - 30*z - 43. Calculate the remainder when 856 is divided by m(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by -1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4*((-48)\/(-60) + 61833\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 + z - 1. What is v(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -49. Suppose 9 = v - g. Suppose -5 = 2*r - v. Solve 5*m = -4 + r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325910 is divided by 3073.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 4*b + 4. Let o be 7\/14 - (-6)\/(-4). Let r be (-6 - -6)\/(1\/o). Which is bigger: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 5. Let p = 335 - 325. Let z be 2 - (-1)\/((-4)\/8). Solve 0*f - 5 = -l - f, -o*l + 2*f - p = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8776*q. Let l(n) = 17605*n**2. What is g(l(m))?\nAnswer: 154501480*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:48 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23969 * -35.\nAnswer: -838915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -7. Suppose 4*h - 2 = 2. Suppose -y - h = -0*y. Which is greater: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 569 and 3399775?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1153, -2599, -4645, -7591, -11737, -17383, -24829, -34375?\nAnswer: -46321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1936.2502921 - 220.7516499. Let i = 2157 + g. What is i rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - 25 = 0. Let l(n) = 42*n + 1. Let j(t) = 11*t - 1. Let w(b) = -4*j(b) + l(b). Give w(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - k + k + (3 - 3 + 2)*(k + 2*k - 4*k) - k + 3 - 3 + 17 - 5*k + 43 + 2*k as p*k + y and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 28*z**2 - 3*z - 433. Is 16 a factor of t(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - 22 - (-98 - -106)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) 0.4 (b) 2 (c) -1 (d) 1023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.3 (c) -1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -7\/6 (b) 2\/5 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4669 and 1339394.\nAnswer: 30806062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 402?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*m**2 + 21*a**2*m - 55*m**2 with respect to a.\nAnswer: -2*a*m**2 + 42*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n = 3*r + 171, -3*r + 189 = -5*n. Let b be (n\/60)\/(6\/(-4)). Factor -2\/5*u**2 + 2\/5 + 2\/5*u - b*u**3.\nAnswer: -2*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4826594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3130, -3182, -3234, -3286, -3338?\nAnswer: -3390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -448 * 1.019\nAnswer: -456.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 30122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*z**3 - 13*z**2 - 2 + 2 - 3*z**3 wrt z.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 17*s = 224 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*c*n**6 + 3516*c*n**4 + 2*c*n**2 + 3*c*n + 3*n**2 - 56*n wrt n.\nAnswer: 960*c*n**3 + 84384*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(14)\/sqrt(2)) + -4.\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 12:44 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38b1 + -1?\nAnswer: 38b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.01, -1\/6, 0.02, 0.6, 30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/16*-4 - (0 + 0). Let i(a) = 21*a**z + 28*a**2 - 51*a**2. Let j(x) = 21*x**2. What is i(j(n))?\nAnswer: -882*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 7*c = 64. Solve 0 = -3*w + 2*s - c + 1, -10 = 2*w - 4*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2. Let t(k) = -4723*k**2. What is z(t(y))?\nAnswer: -22306729*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.523 + -0.027. Let a = 0.45 - l. Let b be 7 - (1\/(-1) - -3). Sort b, a, -6 in ascending order.\nAnswer: -6, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/4 + 4*p**3\/3 + p**2 - 4*p - 5. Let c be z(4). Solve 0 = -3*a - 0*a + c*i + 16, -16 = 4*a + 4*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(sqrt(1694) - sqrt(1694)*3)\/(-2*sqrt(50)))**2.\nAnswer: 487872\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 7*i - 17. Determine v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160078421 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + w - 10, 5 = 5*d - 4*w + 9*w. Suppose d*b = -5*k + 227, 5*k = b - 2 - 47. What are the prime factors of b?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/3 - (-14)\/(-21). Suppose -2*l = h*l - 115. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*n - 30288 = -58*n. List the prime factors of n.\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 990 divided by -15\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-648)\/35904 - 18\/(-51)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 3*j**2 + 5*j - 1. Let d be w(4). Suppose d*r + 2 = 38. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9479 - -3.105. Round r to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 34*u + 6. Let k(m) = 2*m + 1. Suppose 4*g = -5*s + 2*s - 94, -5*s + g - 149 = 0. Let l(q) = s*k(q) + 5*w(q). Let h(b) = -b. What is h(l(j))?\nAnswer: -110*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.33 - -13.67. Let o be 3 - ((-96)\/144)\/(2\/(-7)). Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -3*k + 5*m, -2*m = 2*k + 2*m - 130. What is the remainder when k is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (0 + sqrt(1300))*3 + 4*(1 + sqrt(1300) - sqrt(1300)) + -3 + 2)**2.\nAnswer: 240*sqrt(13) + 11716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -914.6459 plus -0.1?\nAnswer: -914.7459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2 - 10. Let i be 6 + (-1)\/(j\/(-6)). Let h = -0.1 - -0.1. What is the nearest to -1\/2 in i, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2114 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1141 + -1140.98542. What is o rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-10)\/(-40))\/(6447\/1228).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 30 + 1 - 16*k - 17.\nAnswer: -16*k - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12159, -24330, -36501, -48672, -60843, -73014?\nAnswer: -85185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + (-6*(sqrt(128) - (2 + sqrt(128))) - sqrt(128)) + ((-1 + sqrt(128))*-3)**2 + 3.\nAnswer: -144*sqrt(2) + 1176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 120966672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose -k*w = -5*b + 75, -2*w = -5*w + 5*b - 115. Round w to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2805 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796586 is divided by 2445.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9.27, 5, 15\/31?\nAnswer: 15\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**(-13\/2))\/j)**(-12))**(-1\/23) assuming j is positive.\nAnswer: j**(-66\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - x - 10 = t, 5*t = x - 20. Let a be -3*(-5 - ((-34)\/6 - 0)). Sort a, -4, t in decreasing order.\nAnswer: a, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-143 + 198 - 136)*(-3*i - i**3 + 3*i) + (3 - 3 + 2)*(-2*i**3 + 2*i**3 + 3*i**3) in the form d*i**2 + y + b*i + u*i**3 and give u.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(1\/3)\/t))\/(t**(2\/23)*t) assuming t is positive.\nAnswer: t**(-29\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 39*c**2 + 53*c - 1058. What is the hundreds digit of n(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 10. Is 14 a factor of m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8025704 or 8025705?\nAnswer: 8025705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4000431 to the power of 1\/2, to the nearest integer?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 5*y**2 - 6*y - 6. Let m be a(6). Let t(d) = -4*d + 3. Calculate the remainder when 32 is divided by t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2125696522 to the nearest integer?\nAnswer: 46105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 112700 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 805.6 - 805.5999993557. What is n rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(0 + sqrt(325))**2*5*6.\nAnswer: -234000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4515 = 5*d, -3*d + 2679 = -3*b - 0*b. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-16)*z)*z**(-2) assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -3. Suppose f = -3*n + 17. Suppose 5*d - 36 - n = 3*h, -d + 5*h + 21 = 0. Solve -3*v + d = -6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {n: 5, m: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 18*k**3 - 3*k**2 + 3*k - 1. Let f be (2 - 32\/12)\/((-2)\/9). Is p(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -17*m - 2. Let v(x) = 59*x + 7. Let n(q) = 14*a(q) + 4*v(q). Let h(f) = 2*f + 2. Let i be h(8). Let s(p) = 13*p + i*p - 3*p. What is s(n(w))?\nAnswer: -56*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i - 5. Let g(v) = -12*v - 10. What is 4*g(a) - 7*n(a)?\nAnswer: -6*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbt when three letters picked without replacement from ttsttsttssstbsszss.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865.1328 months to centuries.\nAnswer: 0.720944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18664333 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/(-400))\/((-9)\/(-5))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 2*v = 791. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -473941 at most -473943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -344\/5 (b) 8\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkmmmxbmmkmmmkkbkr. What is prob of sequence br?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 384 = 2*k, k - 5*k = 0. Let f = -68 + j. Suppose 4*b - 4 = f. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32211 and 19494?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*z + 110, -5*v + 3*v = -3*z - 89. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 g, and 1 t when three letters picked without replacement from {g: 1, t: 2, y: 1, c: 1, x: 1, z: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/17400 or -1?\nAnswer: -1\/17400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2500\/7*f**4 + 300*f**3 + 16\/7*f - 384\/7*f**2 = 0. What is f?\nAnswer: -1, 0, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 10*h - 9. Let q be x(10). Let y = q - -16. Let c(n) = n**3 - 7*n**2 + 2*n + 3. What is the units digit of c(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -119.4.\nAnswer: -477.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725437 is divided by 7043?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6397 - 6366. Calculate the highest common divisor of i and 2077.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1951 (b) -6 (c) -0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - a + 509*a**2 + 1517*a**2.\nAnswer: 2026*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 9*c**2 + 41*c - 891. Give k(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42\/353 or 0?\nAnswer: 42\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*t - 186652, -3*q - 3*t = -80357 - 59644. Does 165 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174075.6 + 0.022.\nAnswer: 174075.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1121, -4439, -9969, -17711, -27665?\nAnswer: -39831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7 = -8. Suppose -4 = -2*w + 3*p + 2, -5*w = -i*p - 20. What is the units digit of (-420)\/(-18) - (-4)\/w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 0, -3*o = v + o + 4. Let c be (-2 - -7)*v\/5. Suppose m = 5 - 0. Sort m, 0, c.\nAnswer: c, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1175 and 70218.\nAnswer: 1755450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8555*m - 3*m**2 - 21 + 8555*m as t*m**2 + z + q*m and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6481 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t. Suppose -5*p - 2*o = -9, p - 3*o = 2*o + 18. Suppose -g = -p*g + 4. Let d(k) = -g*k**2 - 28 + 28. Determine d(b(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g + 13. Let m be w(-2). Let x(d) = 306*d**2 + 5*d - 5. What are the prime factors of x(m)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7.6 from 123.\nAnswer: 115.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 2*t + 5. Let u be w(2). Solve 5 + 10 = u*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(-1\/3)*k\/(k*k**(-2\/23))*(k\/(k*k*k**(1\/6)*k))\/(k**(3\/4)*k) assuming k is positive.\nAnswer: k**(-413\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 3*f - 5. Let q be 6 - (-4 - (-1 + -4 + (4 - 4))). Give z(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2))**(-4)*(i**(-1)\/i)**(-1\/36) assuming i is positive.\nAnswer: i**(-35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 1, w: 1, q: 2, c: 1, m: 1}. What is prob of picking 1 w, 1 c, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12851 divided by -55.\nAnswer: 12851\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (38\/342)\/((-185)\/(-20) - 9)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1\/3, -0.08, 0, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - -2)*1)\/(2*3\/12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxpxppppxpxxx. What is prob of picking 2 p?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**2 + 10*c**2 - 82 + 133 - 16*c - 122 + 16*c.\nAnswer: c**2 - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**8\/5040 + p**7\/210 - p**6\/20 + 17*p**5\/30 - 2*p**2. Let b(y) be the third derivative of i(y). Factor b(d).\nAnswer: -4*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 2, -2, -51, -1\/4, -32?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**8\/66 + 92*u**7\/1155 + 31*u**6\/660 - 41*u**5\/165 + u**4\/33 + 8*u**3\/33 - u**2 + 8*u. Let l(q) = 0. Calculate q.\nAnswer: -2, -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0741 + -0.0259. Which is the third biggest value? (a) 2 (b) -36 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-4)\/(4*-1). Let x(j) = 6 - 9*j - 4 + 3 + 2*j**2 + o. Is 14 a factor of x(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1410736 and 1184?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 1. Let l be r(-4). Let o(h) = 2*h. Let s(x) be the third derivative of 7*x**2 + 0*x + 0 + 1\/6*x**4 + 0*x**3. Calculate l*s(m) + 7*o(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 - 154 - 34 - r - 72 + 34.\nAnswer: -r - 440","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1319, -1696, -21 in descending order.\nAnswer: -21, -1319, -1696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*l**2 + 0 + 3\/7*l**4 + 90\/7*l**3 + 0*l.\nAnswer: 3*l**2*(l + 9)*(l + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2. Let o = -16 - -22. Let d(i) = 4*i - o*i + 4*i + 0*i. Give d(z(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -11111110?\nAnswer: -11111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 16.1.\nAnswer: -80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 105*n**3 + 2*n**2 - 38*n + 36. Let m be h(1). What is the greatest common factor of m and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -7.7. Let l = 0 - 0.1. Let n = l - 0.1. What is the third smallest value in -5, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7523*a**2*r - 27*a*r + 14*a - 195885136*r wrt a.\nAnswer: -15046*a*r - 27*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32676467\/2519 - 12972. Let m = l - 108308\/22671. Find the common denominator of -3*(-3)\/(-21)*-2 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3065*z = 3268*z + 812 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*q - 7*q. Suppose 3*s - 1 = -4*z, -3*z + q*s + 27 = -0*z. Suppose 5*m = -v + 65, z*m - v - 38 = 14. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.576 + -0.516. Which is the second biggest value? (a) -0.5 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653876693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((64\/(-28))\/(-2))\/((-58)\/(-609)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -402*y**2 - 8*y - 3. Let i(z) = 402*z**2 + 10*z + 4. Let r(d) = -4*i(d) - 5*n(d). Let a(w) = -2*w**2. What is r(a(l))?\nAnswer: 1608*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 - 6\/(-8). Let j be (0 + -4)*(a - 2). Suppose -2 = i + j*t, -13 + 2 = -4*i + 3*t. Sort i, -4, -1 in decreasing order.\nAnswer: i, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*a + 128*a - 2494 + 5453 = -9761 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -48. Let b be ((-8)\/o)\/((-13)\/(6175\/(-10))). Suppose 9*h - b = 68. Solve -2*q + h = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5020 - 45?\nAnswer: -5065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 15*k**2. Let i(j) = -334*j - 3. Give i(g(n)).\nAnswer: -5010*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**2 + 67*l + 7026. Let j be q(109). Round j to the nearest one hundred.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13482346 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 487964 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/96)\/5*-148.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 11*q = 3*q + 3*s - 108, -51*q - 4*s + 272 = -63*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 7. Suppose 11 = 4*l - s. Suppose l*i - i = -5. Which is smaller: i or -2\/55?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - 0.6. Let i = 28 - 28.5. Let k = 3.93 + 0.07. What is the nearest to j in i, 2, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -686 and -0.2.\nAnswer: 137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414688989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j + 0*j + 2*j)*(2 + 0 + 9) + (-6 + 2 + 2 + (0 + 1 - 3)*(-2 - 4 + 3))*(-2*j + 1 - 1))*(2*j**3 + j**4 - 2*j**3).\nAnswer: 25*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 150 = -2*q - 5*y - 18, 4*q - 60 = -2*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -966, -608, 132, 1248, 2734, 4584?\n\"Answer: -g**3 + 197*g**2 - 226*g - 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 333136 and 3747780?\nAnswer: 14991120","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 388155 and 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 1655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-18)*19\/(-7))\/(762\/(-2667))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1515, -3026, -4551, -6096, -7667?\nAnswer: -9270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-3)*(-150)\/4 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4.6.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.4 - 14. Let b = 3 + i. Let m = 1.4 - b. What is the nearest to 2\/9 in 3\/4, m, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9777*g**2 + 462*g**2 - 52771*g**2 - 37899*g**2.\nAnswer: -99985*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*s = 34*s + 1353 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 14. Let p(l) = -25*l + 1. Let j(s) = -138*s + 6. Let x(a) = -2*j(a) + 11*p(a). Calculate -m(v) + 5*x(v).\nAnswer: 3*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Suppose -k*n + 3*n = 13. Let m = n + -8. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -42, -75, -116, -165, -222?\n\"Answer: -4*g**2 - 13*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 - 50*z. Let g(u) = 60*u**2 - 600*u. Suppose 0 = 3*b - 7*b - 140. Let r(l) = b*a(l) + 3*g(l). Factor r(i).\nAnswer: 5*i*(i - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773695958.\nAnswer: 2, 7, 55263997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 9. Suppose -o*j = 3*j - 25. Solve j*f + 6 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ombnomnnnooonmmh. What is prob of sequence hm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/22610 - -22607\/67830. Let u(t) be the first derivative of 0*t**2 + 0*t + 41 - v*t**3. Let o(z) = z. Give u(o(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -4 - 0)\/2. What is the least common multiple of 10 and -4 - (-3 - 7) - (1 + y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000062791 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*c + 55, 1483*c + 43 = 1486*c + 5*j for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5008.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -1272\nAnswer: -1\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*h - 3*h + 21, 0 = 5*h + 5. Let l be (-4)\/(-2 + 1) - -2. Let t = l + -2. Which is greater: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.5 - 21. Which is greater: s or -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 0 + 0 + (2*l**3 - 1 + 1)*(-3 + 0 + 5)*(-1 + 1 + 3).\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5891663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 13. Let b be s(7). Let r be ((-25)\/b)\/(-1) + 20\/120. Let m be 70\/14 + (r - -2). Solve 5*z + m*c - 22 = 0, -4*c = -3*z - c - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130 + 151. Let x be 7\/((-7)\/2)*-2. Solve p = -x*u + 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -113 + -4807?\nAnswer: -4920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1824*t**3*v**2*w - 2*t**3*v + 281*t**2*v**2 - 7119*t**2 - 1916*t*v**2*w with respect to w.\nAnswer: 1824*t**3*v**2 - 1916*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69962750 rounded to the nearest one hundred thousand?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t**(1\/4))*t))**(-43))**37 assuming t is positive.\nAnswer: t**(-1591\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88275 divided by -2?\nAnswer: -88275\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4*r + 124 - 0, 0 = 4*y + 4*r - 92. Suppose -13 = -y*g + 26*g. Suppose 15*k - g*k = 0. Solve k*m + 15 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q = -9*q + 19*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 199 = 11. Calculate the common denominator of 4\/6*-69*h\/140 and -63\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*g - 6. Suppose 6*r = 5*v + r, 4*r - 4 = 3*v. Suppose -71 = -v*d - 7. Solve -4*l + x - 8 = -x, g*x - d = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/((-9)\/(-4)) + (-3 - -43). Suppose 48*b = m*b + 4. Is ((-1352)\/(-6) + b)\/(6\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224160 divided by 2335.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -4. Let g be (-26)\/(-8)*(0 + i). Suppose 2 + g = 5*c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 16*g + 72. Let i be b(-6). Let -8 + i*o + 53*o**2 - 9*o**2 + 24*o = 0. Calculate o.\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-4)*y)\/((y**(1\/9)*y)\/y)*(y\/(y**(2\/9)\/y))\/(y*y**(-7)) assuming y is positive.\nAnswer: y**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6123 divided by 2041.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1128 and 1227.\nAnswer: 461352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 29572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*q + 202 - 202)*(-52*q - 4 - 38*q + 104*q).\nAnswer: 196*q**2 - 56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 197, 482, 417, -442, -2539, -6318, -12223?\n\"Answer: -74*c**3 + 269*c**2 - 4*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-5)\/(-12) + (28 - 23))\/((-10)\/140)?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/(-28))\/5 + 4770\/(-14). Is -340 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(120)\/sqrt(10) + (-2*sqrt(363))**2.\nAnswer: 2*sqrt(3) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-10)*(-6)\/((-84)\/(-35)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from cfcfccffffcc.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - 18. Let u = s - -56. Which is the third smallest value? (a) 1\/11 (b) 5 (c) -5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*n + 34, -4*n - 4*c = -343 + 303. Solve -4*h = n*p - 20, -2*p + 25 = -p + 5*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006058293 rounded to six decimal places?\nAnswer: 0.006058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -487369795799.8 and -0.14.\nAnswer: -487369795799.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52692716 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 3. Let y be l(6). Suppose -2*m - y*m = -85. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 314, -1, 6, -2, 1 in increasing order.\nAnswer: -2, -1, 1, 6, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 = -10. Suppose -39*g + 42*g = 60. Calculate the greatest common factor of o and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from cvvwqco?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 11*a + 292. What is the least common multiple of 16 and v(15)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*g - 23 = 0, 5*d - 5*g + 2 = -3. Suppose -z = d*w - 6, 5*w = 4*w + 2. Let o = -1 - -3. Which is the nearest to o? (a) 0.2 (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -27, -49, -89, -153?\n\"Answer: -g**3 - 3*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q + 2*q - 2*q. Let b(c) be the second derivative of -c**4\/12 + c. Determine j(b(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 6:20 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 660.0000976 + -660. Round n to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1222, 1225, 1218, 1195, 1150, 1077, 970, 823?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -28. Suppose 23 = 4*j + 3*q, j = -u*j - q + 13. Calculate the lowest common multiple of 34 and j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36221 + 62500. List the prime factors of u.\nAnswer: 11, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513029793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 115 = -7*m. Calculate the greatest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from bbweyeesesbybbebeb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 6:30 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50445 and 7229565?\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 3\/5, -184?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, k: 6, n: 3}. What is prob of sequence pp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/9)\/(((-8)\/36)\/(-2)). Solve v*h = 10*h - 44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1982600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -5138, 0 in increasing order.\nAnswer: -5138, -2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from ukaxkqxxxx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*a**2 - 6886*a - 18550371 wrt a.\nAnswer: -72*a - 6886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/((-2)\/8). Let h = 114 - 796\/7. Let a = -7 + 11. Put u, h, a in decreasing order.\nAnswer: a, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17498622 to the power of 1\/2, to the nearest integer?\nAnswer: 4183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 of a kilogram in grams?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 58\/10 + 144\/120\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913*w**3 - 6306 + 3154 + 738*w**3 + 3152.\nAnswer: -175*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7886.1 and -42276080.\nAnswer: -42283966.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/823 and 73\/4.\nAnswer: 3292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -15. Let n = -0.42 - -0.02. Let d = -0.07 - 0.23. Which is the second biggest value? (a) n (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 9*o - 29. Determine x(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (-1 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q + 0*q - 2*q)*(3 - 5 + 1) + 8*q - 3*q + 0*q)*(-63 + 7 + 11).\nAnswer: -180*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 3*w - 1. Let y be b(-3). Let n be 6\/y - (-51)\/12. Let v(l) = 2*l - 3*l + n*l. Let d(z) = 5*z. Determine 5*d(t) - 6*v(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*k - 451197 = -455229 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y**2 - 2*y + 1. Is l(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*g - 47, 2*m + 5*g - 200 = -2*m. What is the remainder when (4 - 5 - (-4)\/2) + m is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-4)*47100\/(-4239).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 2. Let j be n(-2). Suppose -2*c + 5*v - 6 = 0, 2*v = 5*c - 2*c - 2. Solve 0 = b - c*b - j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*0.38314915\nAnswer: -0.030651932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 257096 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*s + 4. Suppose 6*o - s*o = 54. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 17*v + 1030. Let m(p) = p**2 - 8*p + 517. Calculate -13*m(g) + 6*t(g).\nAnswer: -g**2 + 2*g - 541","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 246?\nAnswer: -13\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169778535 divided by 6.\nAnswer: -56592845\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202372 and 36.\nAnswer: 1821348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4721 + 5619. Suppose -h - y = -d, -y - 710 = 5*h - 11042. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*a + 263*a + 672 = 0 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -8. Let i be -4 + (-2)\/(-4)*f. Differentiate i*t**2 + 3*t - 3*t + 8 + 0*t wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 71*j**4 + 0*j + 74*j**4 - 4*j**4 + 2*j**4 + 3*j**4 + (0 + 2*j**2 + 0)*(j**2 - j**2 + 2*j**2) - 4*j**4 + 4*j**4 - j**4.\nAnswer: 7*j**4 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(5895 - b + 0*b + b**2 - 5886) to the form m + n*b**2 + l*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 7*v**3\/6 - v**2 + v - 3. Give f(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2058.1 + -2148. Let h = 90 + a. Let r = 4.6 + -1.1. Is r at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = -3*z + 16*g - 29, 2*g = -36*z + 32*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**4\/24 + o**3\/3 - 2*o**2. Let z be a(-2). Find the second derivative of -2*u**2 - u + 2*u + z*u wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 7:32 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 567 - 562. Which is the second biggest value? (a) -5 (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 530 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*m - 4. Let c be (-4 + (-24)\/(-4))\/(-2 - -4). What is the third biggest value in m, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 140 = -11*k. Let u = k + -14. Let l(x) = -114*x + 14. Let j(v) = -113*v + 12. Let b(a) = u*l(a) - 7*j(a). Let w(g) = -2*g**2. Calculate b(w(d)).\nAnswer: -214*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 7*w**2 - 4*w - 6. Let q(f) = -2*f**3 - 14*f**2 + 9*f + 13. Let l(x) = -5*b(x) - 3*q(x). What is the units digit of l(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2. Let k(w) be the second derivative of 20 + 0*w**2 + 0*w**3 + 5\/4*w**4 - 4*w. Give m(k(l)).\nAnswer: 1125*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 7:19 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2469 + 257191.\nAnswer: 257191.2469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -13. Suppose 5 = n*k - 10. Suppose -k*l = -10*l. Solve 2*p - p - 5 = l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 22825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - 2*c**3 + 2*c**4 + (59*c - 27*c - 27*c)*(2*c - c**3 - 2*c) in the form z*c**2 + d*c**3 + x*c**4 + f + o*c and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26951733 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72240, -144597, -216954, -289311?\nAnswer: -361668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 873\/2 (c) -10 (d) -1\/3 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.9 + 13. Let m = z - -1.1. What is the second smallest value in m, -1\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 8, 5, 0, 4, -83 in decreasing order.\nAnswer: 11, 8, 5, 4, 0, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, j: 4}. What is prob of picking 2 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 48*q - q**2 - 24*q - 24*q. Let n(d) = 2*d**2 + d - 1. Let p(l) = n(l) + 5*t(l). What is p(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -0.162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mekknnkyyk. What is prob of picking 1 k and 1 n?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124247 (base 13) to base 6.\nAnswer: 13213532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + 15 + -15 + 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*a - 332*a - 39 + 1 = -b, 0 = -5*a - 3*b + 122 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**3 + k - 1. Let u be p(1). Suppose -3*j = u + 3. Let h(v) = -v**3 - v**2 + v - 4. What is h(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 - -2896.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 5. Let j be c(5). Suppose -f = 2*l - 2, j*f - 5*f + 3*l = 16. Is ((-30)\/(-45))\/(f\/(-807)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -376.2 + 331. Let b = -10.4 - s. Round b to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-32) + (4 - (-5)\/(-8)). Suppose 4*h = 3*a + 18, 3*a + o*h - 3 = -0*h. Sort a, 3, 4, 2.\nAnswer: a, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**2. Let k(i) be the first derivative of 7*i**2 + 460. Determine r(k(n)).\nAnswer: -980*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -10)*2*(-1)\/(-2). Suppose 5*l = s*l. Suppose -p + 0*p = 2*b + 6, -2*p + b - 12 = l. Let o(u) = -3*u - 6. Let m(f) = -1. Give p*m(q) + o(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.9?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351.7151 milligrams to grams.\nAnswer: 0.3517151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from sxnnwseoswon.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-268)\/(-6) + (-2)\/(-6). Let k = -17 + 53. Calculate the remainder when (-9)\/z - k\/(-5) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**4 - 22428*o**3 - 630756*o**2 - 2053348*o + 12442080 = 0. Calculate o.\nAnswer: -23, -8, 3, 5635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 254408 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -475500 to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 294391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l - 4. Let x(a) = a**3 - 4*a**2 + 4*a - 1. Let i be x(3). Let k = i - l. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*u**4 - 133*u**2 + 92*u**4 - 99*u**2 + 50*u**2 wrt u.\nAnswer: 2880*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 1, -5, 110159?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/7 - 36688*x\/7 + 336502336\/7 = 0 for x.\nAnswer: 18344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -359.859 greater than or equal to -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, s: 6, o: 8}. Give prob of sequence sos.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*h - 5*z - 5 = 0, 0 = -5*h + 3*z + 19. Let u(a) = a - 2*a**h - 4*a + 3*a. Let y(g) be the second derivative of g**3\/6 + g. Calculate y(u(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, -25, -45, -65, -85, -105?\n\"Answer: -20*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 2*p**3 - 3*p**3 + 155*p**2 + 436*p**2 to z*p**3 + y + k*p**2 + h*p and give k.\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b93 + 1266?\nAnswer: 1df9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108106 + 108107. Let b be -1 + (-2)\/(130\/(-59)). Is q > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjtz when four letters picked without replacement from emzjemjjmmjptmjj.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*a = 2*t - 83, -4*a = 8. Let w = 23 + -2. Let s = t - w. Which is smaller: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12\/25, 6, -3, -20.3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2915634 divided by -4?\nAnswer: 1457817\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/42 + 518\/3. Let d = -125 + p. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {y: 2, j: 9, u: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034 is divided by 211?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1219 at most -831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 4*c + 26 - c.\nAnswer: 3*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 669 and -0.11?\nAnswer: 669.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 4, -62.\nAnswer: -62, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, 31, 143, 369, 751, 1331, 2151, 3253?\n\"Answer: 7*o**3 - 6*o**2 + 9*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (-3*sqrt(66))\/sqrt(3) + sqrt(22))\/((-5*sqrt(11)*6 - sqrt(11)) + sqrt(11)).\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 15 + -86.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, p: 4}. Give prob of sequence pppp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h**2 + 5*h - 5 + h**2 + 10 + 10. Let m be q(-7). Let n = 372 + m. What are the prime factors of n?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z - 29 + 29 = 0. Sort -21, 4, 1, z in ascending order.\nAnswer: -21, z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, i: 10}. Give prob of picking 2 m and 1 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332835523 is divided by 8811.\nAnswer: 8809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 96. Suppose 15 = 11*l - x*l. Solve 0 = u - 2 - l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3\/2 (b) -63\/328 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o + 7*o - 10*o - 27. Let h be n(7). Let g(a) = a**2 - 4*a. Let d be g(-4). Calculate the greatest common divisor of h and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 13, -1, 3, -854 in descending order.\nAnswer: 13, 3, 1, -1, -2, -854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 276 = -3*o + 258, 5*a - 45 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 18 - 6*m**2 - 7*m in the form d*m**2 + j*m + s and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*m + 128, -85 = -4*m - 2*r + 47. Suppose m*h = -3 + 685. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4 and -19\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 524311.89426711 - -22.11753289. Let f = -524394 + d. Let w = 60 + f. What is w rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {y: 4, a: 8, z: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162 - -78. Suppose -8*r + 248 = -6*r. Let u = a + r. Calculate the greatest common divisor of 30 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7501 - -7497. Sort -0.46, -0.1, x in increasing order.\nAnswer: x, -0.46, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/75, 0.1, 3\/19 in descending order.\nAnswer: 3\/19, 0.1, -14\/75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 11 - 5. Let t be (-135 - (g + -3))*1. Let l = -13 - t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 3*n**2 + 3*n + 2. Suppose -10 = -6*l + 11*l. Let s be (-69 - -2)*(l + 1) + -3. Suppose 68 - s = -2*h. Calculate j(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.39. Let q = s + -0.59. Which is the closest to 0.1? (a) -0.2 (b) q (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 20 + 2 = -h, 38 = 2*p + 4*h. Solve 2*z + 1 = p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4\/5 + 2574*u**3\/5 - 86778*u**2\/5 + 91010*u + 953040 = 0.\nAnswer: -1320, -5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -889, -3645, -8273, -14779, -23169, -33449?\nAnswer: -45625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Let l(w) be the first derivative of -3 + 0*w + 4\/3*w**3 + 0*w**2. What is y(l(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -649d (base 16) in base 14?\nAnswer: -955b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -65. Let n = 33 - 47. Let k = i + n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5853294862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - 370 - 7*z**2 + 370 + (0*z - 3*z + 4*z)*(-3*z + 2 - 2) to the form w*z**2 + h + y*z and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11237762 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = -2*y, y + 3*m = 2*y + 4. Let t be (30\/(-8))\/((-39)\/104). Solve y*w = 7*w - t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -71*r**2 - 10088*r + 9286. Calculate u(-143).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-1)\/(-1)*-6. Let z be m + -1*(2 - 0). Suppose 4*b = -6 + 226. Calculate the highest common factor of b and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*i**2 - 4 - 56*i**2 + 100*i**2 + 0 + 3.\nAnswer: -6*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 742 = i + 743, -3*s = -3*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31905 by 6381.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2441\/16 + -66175\/432. What is the common denominator of 61\/36 and j?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 5*b - 1016. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83989 at most -251968\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + 1 + sqrt(2299) + -4)**2 + 2.\nAnswer: -110*sqrt(19) + 2325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2698?\nAnswer: -5\/2698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/((-157)\/15386*(-7)\/(-6))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48468, 96935, 145402, 193869, 242336?\nAnswer: 290803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(12\/(-8)))\/(6\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - r. Let p = 14 - 13. What is the remainder when 2 is divided by h(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - (-46)\/6)*(-4 - 85\/(-10)). Let u be (-33)\/(-15) - 1\/5. Solve 5*h = u*f, -6*f = -f + b*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9403 - 9340. What is the remainder when 598 is divided by w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**3\/2 + 7*v**2\/2 - 112*v. Let g be s(0). Solve 4 - g = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 29*x. Let u(d) = 3*d - 2. Let w(t) = 16*t - 11. Let j(s) = 22*u(s) - 4*w(s). What is v(j(h))?\nAnswer: 58*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:06 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 31422613*v. Let r(y) = -2*y**2. What is n(r(h))?\nAnswer: -12*h**4 - 62845226*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 + (2 - 0))*(23 + -31). Suppose -42*d + i*d = -6. Suppose r - 24 = -r. Solve 0 = -5*z - 5*q, 2*z + r = q - d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 18*w**2 + 471*w - 6830. Calculate x(15).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.65 and 0.0269.\nAnswer: 0.044385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1274109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -9. Let n = 6379 - 6377. What is the remainder when g is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, x: 10}. Give prob of picking 3 x and 1 s.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -653615, -653633, -653651?\n\"Answer: -18*a - 653597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhph when four letters picked without replacement from {k: 5, p: 1, m: 2, f: 1, n: 5, h: 2}?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 484\/(-24) - 2\/(-12). Let n = -16 - f. Solve 0 = -2*j + n*j - 5*p - 4, 0 = -5*j - 5*p + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -24*w + 27. Let q be u(13). What is q rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 38*y**3 - 2*y + 11. Let z be u(3). Is 1031 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*o - o - 1490, -298 = n - o. Let d = -272 - n. Solve -4*q + d = 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 15b71?\nAnswer: 15b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 15 = -y, 4*y - 2*y = 2*x - 2. Let t be (-17)\/x - 6\/24. Let r = -1 + t. What is the greatest common divisor of 21 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3\/5, 407\/68, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -28*s**3 - 26*s**2 - 2*s - 6. Let p(y) = -28*y**3 - 27*y**2 - 2*y - 8. Let h(r) = -3*p(r) + 4*u(r). What is the third derivative of h(w) wrt w?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1\/22, 1\/5, -0.3 in descending order.\nAnswer: 1\/5, -1\/22, -0.3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*1\/(-2) + 6. Let d(h) = -h**3 + 5*h**2 + h - 1. Calculate the least common multiple of 6 and d(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*n + 37*n + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 50 + (-30 - 4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 553850608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*-1*(-2 - -3). Let w be (1\/2)\/(1\/10). Let p = 6522 - 6527. Sort b, w, p in decreasing order.\nAnswer: w, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2475*g**4 + 28*g**2 - 379441*g wrt g?\nAnswer: -29700*g**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8955996 is divided by 377?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a - 5*a + 4*a)*(-2*a + a + 2*a) + 4*a**2 + a**2 - a**2)*(6 - 2*a - 6).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1524 is divided by 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 2*i**2 - i + 2. Let k be s(2). Suppose -3*u + 3*f - 17 = -2*u, -2*u + 5*f - 30 = k. Put -2, 2, u in descending order.\nAnswer: 2, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 bigger than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602066980?\nAnswer: 2, 5, 30103349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3 and 119\/46278.\nAnswer: 46278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqttmtmytqtmmqmmq. Give prob of picking 1 m and 3 q.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42586*l**3*u**3 + 1341*l**3*u - l**3 - 2*l*u**4 + 2*l*u**2 + 2*l - 3*u**2 wrt u?\nAnswer: -255516*l**3 - 48*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-6)*g**4*g)\/((g\/g**(1\/8))\/(g\/((g*g**(2\/9))\/g)*g)) assuming g is positive.\nAnswer: g**(929\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203 + 182*w**2 - 602 - 599.\nAnswer: 182*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4774146.\nAnswer: 2, 3, 13, 97, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.2, -0.0584?\nAnswer: -0.0584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -396 + 398. Calculate the lowest common multiple of 202 and k.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4649?\nAnswer: 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2 - 54*m + 21. Determine x(8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1592 = q - 11857, q + 5*n = 10315. Let u = -6610 + q. Let c = u - 2491. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3938\/(-82) - 15\/(-19065)*31\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**47\/((h\/h**(-14))\/(h*h**(-5))) assuming h is positive.\nAnswer: h**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, -5, 0, 3409 in decreasing order.\nAnswer: 3409, 7, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 0 (c) -1\/2 (d) 8 (e) 12\/49 (f) 17 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5428*q = -2*b + 5430*q + 44, -29 = -2*b - 3*q for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10218 - -10213. Let g be 3 + -2 + 2 - 5. What is the closest to 0.1 in a, 6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -11\/42*i**7 + 0 + 0*i**5 + 0*i**2 - 1\/2*i**4 + 5*i + 0*i**6 + 0*i**3. What is the third derivative of b(v) wrt v?\nAnswer: -660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 203, 415, 627?\n\"Answer: 212*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 + -1.92. What is the second biggest value in -0.2, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/4*22\/33)\/(3\/(-9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*d + 24 = 0, -48 = -178*c + 173*c + 2*d for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 y when four letters picked without replacement from {g: 5, l: 3, v: 5, y: 2}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13309, 13308, 13299, 13276, 13233, 13164, 13063, 12924?\nAnswer: 12741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1280 times 3.7\nAnswer: 4736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fugq when four letters picked without replacement from {m: 3, f: 2, w: 2, g: 2, u: 2, q: 1}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27382?\nAnswer: 2, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {h: 12, g: 5, w: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/44 and 77\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21671049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.8 and -679863229.\nAnswer: -679863228.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.286 - -206.714. Let f = -203.08 + o. Let v = f + 0.08. What is the third biggest value in 0.4, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 1. Let h(q) = q**3 + 53*q**2 + 56*q + 209. Let z be h(-52). Let r(t) = -10*t + 1. Give z*y(j) - r(j).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -31190000 to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b + 2. Let w(q) = q**3 + 4*q**2 + q - 4. Let x be w(-2). Let h be k(x). Let n be 2\/3 - 16\/h. Do n and 0 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -5*w - 4*y + 4085, w - 2*y = 815. What is the highest common divisor of 75 and w?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + f + 1. Let s(k) = k**3 - 2. Let a(x) = 6*j(x) + 3*s(x). Find the second derivative of a(u) wrt u.\nAnswer: 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + sqrt(153) + sqrt(153))**2 + 3 - -6*(((sqrt(153) + sqrt(153)*2 - sqrt(153))\/sqrt(9) - sqrt(17) - sqrt(17)) + sqrt(17))).\nAnswer: -1872 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 104374?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -7 + 1\/5*p**4 - 2\/15*p**3 + 1\/30*p**6 + 4\/25*p**5 - 1\/2*p**2 - 2\/5*p. Determine u, given that m(u) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Let g = -4 + d. Which is the closest to -2? (a) -2\/21 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68179 less than -1\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19043 = 166*l - 27*l. Suppose -26 - 162 = -4*n. What is the remainder when l is divided by n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(272) + 1)**2.\nAnswer: 8*sqrt(17) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*v - 5*l, -5*v + 72 = -5*l + 3*l. Let n(m) = 8*m + 47. What is the units digit of n(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5382*v = -96761 + 20552 - 52959 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 1. Let t(y) = 0*y - 3*y + y + 3*y. Calculate -c(w) - 4*t(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 21*u**3 + 2*u**2 - 2*u. Let l(f) = -28*f**3 - 24*f - 5*f**2 - 3*f**3 - 12*f**3 + 11*f + 18*f. Calculate -2*l(d) - 5*t(d).\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/45)\/((5\/(-21))\/((-70)\/392))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 + 2*l + 4. List the prime factors of m(-4).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -23*y - 49. Let m = 282 - 295. What is the hundreds digit of o(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-3)\/((-4)\/4). What is the greatest common divisor of 32 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*t**3 - 13*d**3*t - 214*d**2*t**5 + 5*t wrt t?\nAnswer: -6*d**3*t - 4280*d**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -4a5?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 711 and 669051.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*6*(-5)\/10. What is the tens digit of l + (11 + -2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 15 + 31)*(16 - 16 - w**2) - 3*w**2 + 7*w**2 - 3*w**2 + (2*w**2 + 0*w**2 + 0*w**2)*(2 - 1 + 6).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57888964 divided by -14.\nAnswer: 4134926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 6 - (-13 - (-9 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*t + 5*i - 3, -4*t + 58 = -2*i. Let z be t\/66 + (-31)\/(-11). Suppose -4*b - 4*x = -5*b + 17, -5*b + z*x = -102. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 893694 at least as big as 893726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yggzgygyyyyz. Give prob of picking 3 y.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + d + 0 = -2, -d - 6 = -5*s. Suppose 2\/5*h**s + 2\/5*h - 2\/5 - 2\/5*h**3 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**5 - 16*c**4 + 262*c**3 + 1996*c**2 - 2680*c - 4400 = 0.\nAnswer: -10, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.61 + -2.39. Let t = -13.9 - z. Suppose 0 = -p + 6*p - 5. Which is the nearest to 0? (a) p (b) -0.05 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783832 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -102034442?\nAnswer: -102034431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.23? (a) -8 (b) -10 (c) -0.3 (d) -4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173b33 (base 13) in base 16?\nAnswer: 8d880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4, -3, 0.2, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arbkrrbrbkrrrn. Give prob of sequence bnab.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11cc1 (base 13) to base 6.\nAnswer: -412303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2460*k + 773. Is h(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20434 (base 7) to base 5.\nAnswer: 130043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 529934 to the power of 1\/2, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.59 - -1.802. What is g rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 7*r**2 + r + 7. Let o be f(-7). Suppose 5*g - 165 = -o*g + 5*i, i = -5. Solve -3*q + 3*b - g = -10, 0 = 5*q + b + 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 556\/18 + 592\/5328.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -936*o - 6009. Let y be z(-8). Sort -6, 3, y.\nAnswer: -6, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*-1*sqrt(91) + sqrt(91) + sqrt(91) + 4*-1*sqrt(91))\/(sqrt(70)\/(sqrt(10)*2) + sqrt(7) + 4*sqrt(28)\/sqrt(4)).\nAnswer: -10*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 1 + sqrt(75) + 0.\nAnswer: 1 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4 + 3 + 2 + 0 - x. Determine p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -792891*c**2*j**2*p**3 - 3*c**2*j - 8*c*j**2*p**2 + 2*c*j*p**3 + 4*c*j*p - 3*j**2*p - 5*p + 755 wrt c?\nAnswer: -1585782*j**2*p**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18413.481412 less than 1264?\nAnswer: 19677.481412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 5) to base 2\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1730507*r**5 + 398378*r**2 wrt r.\nAnswer: -103830420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 3*k**2 - 3*k + 3. Suppose v + 14 = -2*a, 6*v = 5*v - a - 13. Let d be ((-32)\/v)\/((-4)\/(-6)). Let r be b(d). Which is smaller: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-7) + (-10)\/(-35). Let g(w) = -8*w + 1. Let h(c) = -4*c. Let y(b) = -3*g(b) + 7*h(b). Let r = -2 - -1. Let n(l) = l + 1. What is i*n(o) + r*y(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -6*f - 32, -2*x - 19 = 7*f - 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - 2*sqrt(704)) + sqrt(704))**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -36, -10, -100 in increasing order.\nAnswer: -100, -36, -10, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*x - 3441*x = 149659 + 32597 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50052303 + 2?\nAnswer: 50052305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3468 or -3477?\nAnswer: -3477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -862\nAnswer: -31\/862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 17*h + 34 - 106 - 8*h + 35.\nAnswer: -25*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 259376083 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000031 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1594 (base 16) to base 10\nAnswer: 5524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = 4*b - 0*t, 5*t + 15 = 5*b. Let r be (-3 + 1)*(-2)\/b. What is the units digit of (-1 - r) + 1 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75\/4 - 1441\/76. Let c = x - -101\/209. What is the nearest to c in -0.5, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -561 divided by -33.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20931*5\nAnswer: 104655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4*l**4 - 5*l + 5*l**4 - 1 + 3*l in the form p*l**3 + r*l**2 + s*l**4 + v + g*l and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -11132, -12.9, 3\/5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2382264 by -738.\nAnswer: -3228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - -1 - (-3 - 0). Let q = -5 + r. Suppose 3 = -d, q*x - 4*d - 44 = -0*d. 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 nearest to 2\/7 in 7, 42\/13, 2\/3, -1\/5, 45?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 10:07 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-1)*x*x**4)**20)**10 assuming x is positive.\nAnswer: x**1200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49 - -5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -132 - 3?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1403? (a) -0.05498 (b) -3 (c) -2 (d) -5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 3516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 t, and 1 n when four letters picked without replacement from {c: 3, v: 1, t: 3, i: 1, k: 2, n: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -123, -122?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4040 (base 7) to base 5.\nAnswer: 21100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27401385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16386\/11 + -95152\/55. Let u = s - -246. What is the common denominator of (-36)\/20*15\/33 and u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65271*t**3 - 43 + 43 - 334004*t**3.\nAnswer: -268733*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7535400.\nAnswer: 2, 3, 5, 19, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 6*y - 9. Let p(u) = -u**2 + 7. Let c be p(0). Let m be x(c). What is m rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17589*w + 70346. Give x(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c - 8*c = -136 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l = -123*l + 693 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l**2 - 2*l + 3. Let o be z(0). Does 9 divide o\/9 - 656\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*3\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 64 + 33 - 114 + 53 + 29 + 16*p + p**2. Determine i(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {k: 1, y: 1, p: 1, w: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*c**5*n + 2045*c**4*n**2 + 2*c*n**2 + 59*n**2 - 285*n wrt c?\nAnswer: 440*c**3*n + 24540*c**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 105\/(-140)*68\/(-3). Let b(q) = -7*q. Let f(m) be the second derivative of 35*m**3\/6 - 7*m. What is d*b(t) - 2*f(t)?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2518?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.002 and 231981.3?\nAnswer: 463.9626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1900 divided by 19\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - (5 + 6 + -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*r, 5*h - 14 + 38 = -299*r + 298*r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*q = -160*q - 8687 + 555 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(204) + sqrt(204) + sqrt(204) + sqrt(204))*2)\/(-6*sqrt(12)*2 + (sqrt(1452) - sqrt(1452)*1)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + h + 1. Suppose -5*l + 4*w = -17, -4*l - 11 + 27 = -4*w. Let z be t(l). Which is the smallest value? (a) -9 (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/11 in 2, 1\/8, -2\/3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3766901414 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - ((sqrt(405)*-1)**2*-5 + sqrt(405) - sqrt(405)))*1 - (-1 + (-2*sqrt(1080))\/sqrt(6)))*5.\nAnswer: 105*sqrt(5) + 10130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 37*u**2 + 58*u - 372. Determine w(-35).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most as big as -24131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 9:50 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -50*p**2 + 86*p - 146. What is k(5)?\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:30 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*l - 13*l**2 - 88 + 43*l - 103*l.\nAnswer: -13*l**2 - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l + 3. Let m be h(4). Let n be ((-4)\/6)\/(2\/m). Factor n - 3 - 2*d**2 - 2.\nAnswer: -2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-5\/4)*i)\/i))**28\/(i**(-2\/7)\/(i**11\/i)) assuming i is positive.\nAnswer: i**(513\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = -18*t - 30 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2748, 5395, 7938, 10371, 12688, 14883, 16950?\nAnswer: 18883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 98216733?\nAnswer: 98216736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800779.5 centuries to millennia.\nAnswer: 80077.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 43721455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + 5024?\nAnswer: 5006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (1 + 0)*-2. Suppose 4*k = -c*m + 160, 4*k = 3*m - 8*m + 204. Suppose 5*v - 3*a + 0*a - m = 0, 0 = -3*v - a + 32. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -456 or -455?\nAnswer: -455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5868882 divided by -2?\nAnswer: 2934441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 - 168 - 34 - 5*z**3 - 163.\nAnswer: -5*z**3 - 474","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 5*r + 5. Let q(o) = -2*o**2 + 4*o + 4. Let u(z) = 5*q(z) - 4*s(z). Let a(i) = 5*i. What is a(u(f))?\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3 + 3)\/(-3))\/(-2). Suppose k - 4*k + 4*d = x, k - d = 0. Are -4\/3 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*t = 154*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/sqrt(10)*-1 - (sqrt(360)*3)\/sqrt(9))\/((sqrt(160)*6 - sqrt(40))\/(2*sqrt(720))).\nAnswer: -96*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o + 5918 = -5802 + 11420 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/7*k**2 - 16\/7*k - 4*k**3 - 6\/7*k**4 + 0.\nAnswer: -2*k*(k + 2)**2*(3*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1001 = -3*r. Suppose 6*f = r + 319. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-8)\/14)\/(12\/42*1)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**2 - 4*p - 4. Let t(q) = 2*q**2 - q - 1. Let h(m) = k(m) - 4*t(m). Let u(x) = -10*x**2 + 3*x. Calculate u(h(z)).\nAnswer: -40*z**4 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-27))\/((-2)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*n = -302*n + 1379*n + 1238 - 4058 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 13 = -2*k, 37*t - 63*t = -37*t - 3*k + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -401?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 287?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 3.41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4414 (b) 0 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 1. Let n(u) = -3*u**2 - 9*u - 9. Suppose 6 - 8 = -s + 4*c, 0 = 5*c - 20. Calculate s*p(v) + 2*n(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 10:33 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 45 = 5*p, 0 = 5*p + 3*j - 5*j - 60. What is the highest common divisor of p and 448?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -984, -2465, -4528, -7173, -10400, -14209?\nAnswer: -18600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33227611649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - (-244)\/40)*2. Which is smaller: -14\/9 or p?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 3. Is 6 a factor of r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-1))\/(-1) + -5 + 8. Suppose -13*h - l = -14*h - 3, 0 = h - j*l + 3. Put h, 0, 4 in descending order.\nAnswer: 4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - (8 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**4 + g**4 - g**4)*(-6 - 6 + 2) + 3*g**3 - g**4 - 3*g**3 as b*g**3 + v*g**4 + q*g**2 + x*g + d and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gaaaggg. Give prob of picking 1 g and 2 a.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1646 times 0.87\nAnswer: -1432.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (11305\/(-19))\/85 - (-1)\/2*-22?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4 - (1 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.23 and -13692.\nAnswer: -13691.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*x + 12, 13 = 4*x + p + 1. Suppose 19*b - 36 = 4*r + 22*b, -5*r = -x*b + 45. Let u(d) = d - 2. Give u(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72504398 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(180) + sqrt(180) + sqrt(180))*6)**2 + 6*(sqrt(180)*1 + -4)**2.\nAnswer: -2880*sqrt(5) + 59640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:37 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 + 33961*w**2 + 2037768*w\/5 + 6113412\/5.\nAnswer: -(w - 169817)*(w + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 191*p**2 + 102*p + 101. Give z(-1).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 1:37 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8732 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 12*z**2 + z - 7. Determine r(-12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-184)\/(-40))\/((-4)\/15*(-204)\/(-272)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312899 is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62622461 to the power of 1\/2, to the nearest integer?\nAnswer: 7913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15925 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 3*p**2 - 16*p + 14. Let m = 33 - 26. Does 12 divide i(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16, 33, 62, 103, 156?\n\"Answer: 6*w**2 - w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 2251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12291 + 17952 = 7*u + 7024. List the prime factors of u.\nAnswer: 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 6*y + 3*y + 7*y + 118.\nAnswer: 2*y + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*r - 3 = 0, -322*y + 4*r = -317*y - 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 4*w - 8. Let o be j(-6). Suppose -2*d - 66 = -o*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5\/5 - 4*w**4\/5 + 4*w**2\/5 - 2*w\/5 = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 172021 and -0.18.\nAnswer: 172020.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13323 - 9736. What are the prime factors of c?\nAnswer: 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -0.37. Let d = 0.1 + -0.12. Let u = j + d. Sort 2\/7, u, 4 in ascending order.\nAnswer: 2\/7, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*t + 2*x, 3*t - x = -2*x + 2. Suppose -50 = -t*m - 8*m. Suppose u - 3*u + 2*s + 10 = 0, -m*u + 22 = -2*s. Solve h = -u + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -127*y**2. Let z(m) = -22*m**2 - 60*m**2 + 106*m**2 - 10*m**2. Determine t(z(i)).\nAnswer: -24892*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1 + 0 + (-55)\/(-20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952.8146ug to nanograms.\nAnswer: 952814.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3613*d**2 + 1775*d**2 + 1841*d**2 + 11*d.\nAnswer: 3*d**2 + 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**(1\/31)*j))**(3\/14) assuming j is positive.\nAnswer: j**(45\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d - 35*d - 35*d)*((-1 + 5 - 5)*(5 - 2 - 2) + 29 - 2 + 16).\nAnswer: -2478*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhyhhshshmshuu. What is prob of sequence ysh?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 4 - 1\/3*b**4 + 4*b + 8*b**2 + 1\/10*b**5 - 4\/3*b**3. Let g(s) be the first derivative of n(s). Solve g(i) = 0 for i.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 13 = -3*h + 6*l, -2*l - 14 = -4*h. Suppose h*n = 2*x - x - 135, 2*x + 4*n = 282. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {n: 6, y: 3, b: 4, z: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 + 1 - (-26283 - -26259).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-48) - (-1148)\/48. Does 9 divide 336*(4\/2 - 30\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 14 = s + 11, -3*s + 9 = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzjqqqqjqqwzzzzq. Give prob of picking 1 q, 1 j, and 1 z.\nAnswer: 49\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2131 is divided by 50?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21426 divided by -6.\nAnswer: -3571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 39*t - 254. Give x(-27).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2272032.3ms to minutes.\nAnswer: 37.867205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1853984 and 17710.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w**5*(w*w*w**(-4))\/(w\/((w*w**(-1\/9))\/w)*w))**36 assuming w is positive.\nAnswer: w**(-328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -5*l**7\/42 + 10*l**3\/3 - 19*l. What is the second derivative of y(f) wrt f?\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*v = -13, 298*m = 297*m + 3*v + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*k + 17*k + 14*k in the form g*k + u and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose j = 4*r - 3*r. What is the units digit of (-1)\/2 - (-15)\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5. Which is smaller: 4\/39 or i?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o + 9. Calculate c(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 3*i**2 + 3*i - 2. Let k = 165 + -170. What is j(k)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -531*y + 1071*y + 99*y**2 - 3*y**3 + 2 - 3*y**4 - 539*y to x*y**3 + g*y**2 + s + f*y**4 + r*y and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 330*h**3 - 30*h**2 + 4563. Let v(f) = -f**3 + 2*f**2 - 13. Let r(n) = -s(n) - 15*v(n). Differentiate r(x) with respect to x.\nAnswer: -945*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 19*n = -5130. Suppose -n - 19628 = -2*j. Suppose j + 9593 = 6*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1403809729 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, 59, 188, 411, 752, 1235, 1884, 2723?\n\"Answer: 4*z**3 + 11*z**2 - 2*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/1 + -8)\/(-2). Let r(p) = -11*p**2 - 7*p + 1. Let j(q) = q**2 + q. Let f(x) = -4*j(x) - r(x). Is f(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(3) + sqrt(3) + sqrt(3)*-2 + sqrt(3)) - -6*(0 + sqrt(3)) - (sqrt(36) - (sqrt(324)*-3 + sqrt(324)))\/sqrt(12))**2 + -4.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 21798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10201 (base 3) to base 7.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 0*y + 2*y - 35944, y = -4. Suppose -21*z + 5271 = -j. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8449 and 196741?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*(-1 + sqrt(200) + 4).\nAnswer: -120*sqrt(2) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 14 + 22, b + 566984 = -4*c. What is b rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -37\/63481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -164321252 (base 7) in base 5?\nAnswer: -10333413411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 58. Find the first derivative of 12 - 22 - z*r**4 + 17 wrt r.\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-8)\/(-14) + 5\/175). Suppose 286 = a*f - 374. Calculate the greatest common divisor of 99 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1312062 and -0.98.\nAnswer: -1285820.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 11:52 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14104539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 14*a + 4*x - 27 = 15 - 14, 14 = 17*a + 2*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -529, 152, 825, 1484, 2123, 2736, 3317?\n\"Answer: -a**3 + 2*a**2 + 682*a - 1212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -0.4 (c) 0.1 (d) 174669 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1088*h - 1088*h + 21*h**2 - 16*h**2. Let b(z) = z**2 - 19*z. What is b(y(o))?\nAnswer: 25*o**4 - 95*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 56 = 4*i, -351*v + 3*i = -349*v - 39 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 8) to base 12\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + 11000101010110?\nAnswer: 11000101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5 - -1) + 11 + 9 + -13\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**5\/60 + 3*c**2 - 240. Let s(o) = -57*o**2 + 1. What is g(s(b))?\nAnswer: -3249*b**4 + 114*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3216 - 3216.00000195. Round n to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*f + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/25*(2 - 3). Let u(f) = -4*f + 63. Let x be u(14). Suppose -10*h + 3 = -x. Which is the biggest value? (a) -0.5 (b) h (c) 38 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r - 1. Let c = 3 + 17. Let m be r\/c - 2\/(-10). What is the third smallest value in 3, m, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-3)*(4\/(-56))\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7466160 to the power of 1\/2, to the nearest integer?\nAnswer: 2732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -5 - (15 + -18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let k = -197\/12 - -63\/4. Let z = -483.9 + 484. Which is the nearest to k? (a) -3 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 - 197. Let y = l + 123. Which is the second smallest value? (a) y (b) 0.3 (c) -5 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 6:24 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3210, -11738, -25592, -44772, -69278, -99110?\nAnswer: -134268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -6*d - 50 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 18*q**3 + 6*q - 12*q.\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 72*l**2 + 227*l + 16413. Suppose 5*b - 139 = -4*w, -2*b + 0 = 2. What is the remainder when t(-72) is divided by w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 5:39 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {t: 4, e: 7, c: 1, n: 1}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - 46) + 9\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 24 = -g. Let l be (-12)\/(6\/(84\/(-8) + 6)). Let s be g\/l*300\/(-16). What is the highest common factor of s and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27976140 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 314\/27 + -1331\/270. Find the common denominator of (-1)\/2 + 106\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/539245 and 52\/10633.\nAnswer: 3774715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*t + 235 - 175 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -523*m**7 + 4832*m**3\/3 + 1710. What is the third derivative of t(v) wrt v?\nAnswer: -439320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 3\/2, 2.407, -1.7, 0.5?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 129877 - 129877. Let x(u) = -137*u**2 - 2. Give p(x(n)).\nAnswer: -137*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -167580 + 7?\nAnswer: -167572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 16. Give q(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (17856\/(-104160))\/(6*(-148)\/(-40))\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3447.5 and 2164.\nAnswer: 7460390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*x**2 - 1285*x - 32130.\nAnswer: -5*(x + 34)*(2*x + 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4722, -9442, -14156, -18864, -23566, -28262?\nAnswer: -32952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4892666465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -10, -48, 2, 3, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + l + 1. Let o be c(0). Let x be o\/(-2)*3*2. Let q be 1\/2*42\/(-35). What is the nearest to -1\/2 in x, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 47289.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from zxoootvxxvx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002167 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035361 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*b**2 + 198*b**2 - 5*b + 3*b - 1785*b**2 + 2*b.\nAnswer: -1316*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 5*p - 2. Let s be (4\/6)\/(3\/18). Let b be z(s). Solve -3*k + 1 = d - 5*d, 0 = -3*d + b*k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)*p\/p**(2\/9))\/(p*((p**(-4\/5)*p)\/p)\/p*p\/((p\/((p*p*p**5)\/p))\/p)) assuming p is positive.\nAnswer: p**(-214\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 - 1 = 0. Let j be (-1 - s)*(-2)\/4. Let a be 1 + (-42)\/35 - (-71)\/5. Solve j*b - 5*q = a, -2 = -4*b + 3*q + 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020038421 to six decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*4 + 1 - (-4 + (sqrt(98) - -2*sqrt(98)) + sqrt(98))) + -2*sqrt(98)*-2 + (sqrt(98) - (4 + 2*sqrt(98))) + sqrt(98))**2.\nAnswer: 56*sqrt(2) + 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 56999297 divided by 1838687\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i + 2. Let r(j) = j**2 + 5*j + 2. Let h be r(-2). Let y(u) be the first derivative of 0*u + 1\/2*u**2 + 177. Give h*y(w) - d(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -507? (a) -4 (b) 3\/2 (c) 0 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90494806 by -2.\nAnswer: -45247403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -1\/10295, -0.1 in descending order.\nAnswer: -1\/10295, -0.1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 222924 equal to 113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8060*n - 8172828. What is a(-1014)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 - 154 - ((7 - 0) + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - d + 28 = 0, -d = 3*p - 4*d - 66. Suppose 0 = 4*b + b - p. What is the highest common divisor of b and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*o**2*y**2 + 671*o*y**2 + 2*o*y + 8*y**2 - 2*y + 29 wrt o?\nAnswer: -14*o*y**2 + 671*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -5*b**8\/336 + b**7\/42 + b**6\/12 - b**5\/6 - 5*b**4\/24 + 5*b**3\/6 - 12*b**2. Determine l so that u(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3213080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - c + 0)*(0*c - 2*c + 0*c) - c + c + 16*c**2 - 2*c**2 - 3*c + 3*c.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i + 4*i + 6*i**2 - 37*i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 391346*z**2 + 3771*z - 3771. Let o(q) = -415*q**2 - 4*q + 4. Let p(n) = 3771*o(n) + 4*v(n). Let a(l) = -l**2. Determine p(a(f)).\nAnswer: 419*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (6\/(-4))\/(1\/2). Differentiate 4 + 14*u**2 + 4*u**m + 3*u**2 with respect to u.\nAnswer: 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*t**2 + 10*t**2 - 2 + 16*t**2 to n*t**2 + x*t + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5 + 3*a + 3*a - a + 2*a. Let v be 3*(-2)\/(-4 - -2). Suppose 8 = v*t + 26. Let l(n) = 4*n + 3. What is t*k(h) + 10*l(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1770 and 9.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 772, 1021, 1472, 2155, 3100, 4337, 5896, 7807?\n\"Answer: 5*w**3 + 71*w**2 + w + 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/127 < -135029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 + 2)*(-2 - 4 + 9)*(19 - y**2 - 19).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1514 and 12673.\nAnswer: 11159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -2)\/(3*(-4)\/(-18)). Suppose f*t - 5*t = -200. What is t rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208119 - 2*j**2 + 208119.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 114 - 12*j + 41*j - 19*j - 11*j. What are the prime factors of s(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from aeaeeaaeaaeaaaaeeaa?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3 + 64841*m**2 - 2*m - 524307 wrt m?\nAnswer: -6*m + 129682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**4\/3 - 2460*f. Let a(b) = -11*b + 66. Let w(r) = -1. Let d(q) = a(q) + 66*w(q). Calculate n(d(u)).\nAnswer: -484*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**4\/2 - 10*r**3 - 23*r**2\/2 - 143*r + 9586. What is s(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(56) - sqrt(504))\/sqrt(7))\/(sqrt(4) + ((sqrt(484) + sqrt(484)*1 - sqrt(4)) + sqrt(4) - sqrt(4))))**2*6.\nAnswer: 48\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -93804368 divided by 290416?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1019 + 98*k + 1019)*(7*k + 10*k - 5*k) as m*k**2 + i + x*k and give m.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14227 (base 9) to base 10.\nAnswer: 9664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**2\/2 + 7*l - 91. Calculate y(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -183027, -365856, -548685?\n\"Answer: -182829*f - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.93 - 0.07. Let w = p - -2.45. What is w rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 614 or 1559?\nAnswer: 614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 10000930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (970*m**2 + 2*m - 968*m**2 - 57 + 0*m)*(2*m**2 + m**2 + 2*m**2) to the form x*m + j*m**4 + k*m**2 + a + d*m**3 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*112\/189 + 2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1085, -1078, -1071?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:40 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -5, -7, 3, -1, -6, 4 in decreasing order.\nAnswer: 21, 4, 3, -1, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1635?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1371440 and -29\/6857200.\nAnswer: 6857200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05342 minus 0.31555647?\nAnswer: -0.36897647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 202 and 127520580.\nAnswer: 127520580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*g - 18, -2*g - 11 = 2*w + 1. Let a be (-18)\/(-5 - g - 0). Suppose a*f - 7*f = 56. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1311408 + 63.8688092. Let r = -64 + a. What is r rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.287895 take away 0.11?\nAnswer: 5.177895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*p + 51 = 656*p + 5*s, 5*s - 46 = 9*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60440?\nAnswer: 2, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2017751\/810 + 2491. Find the common denominator of -103\/270 and r.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*w - j, 2*w - 3 = -5*j + 13. Suppose 6 = -w*s - 3. What is the closest to -0.1 in s, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 6*o - 4*o = 46, 17024*o - 46 = 2*q + 17022*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + u + 4*u)*(4*u**2 - u**2 - u**2) + 3*u**2 - 2*u**2 - 16*u**3 + 13*u**3.\nAnswer: -5*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 28, 32, 36?\n\"Answer: 4*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1580 by -355.\nAnswer: 316\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 285*k**3 + 120*k + 9140.\nAnswer: 855*k**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 = -6*k. Let l be (-868)\/140 - (1\/k)\/(-5). Let q be (-580)\/50 - l\/10. Let j(t) = -2*t - 7. Give j(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 0*p**2 - 2*p**2 - p**2 + p**2. Let s(v) = 3*v. Calculate s(l(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0147 + -4.4453. Let q = -4.36 - k. What is the closest to q in 2\/7, -21, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 != -1938\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**3\/6 + 5*p**2\/2 + 2*p. Is j(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.4 (c) 3\/4 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67268528.\nAnswer: 2, 4204283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 5*l - 9. Let a be -4 - (7\/21 + 62\/(-6)). Suppose -t - a*y + y = 19, 0 = -2*t - y + 7. Give w(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbb when three letters picked without replacement from bbbbbbbbxxxbxbbbbx?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 + 2 - 2. Let j = -7 - -9. Let s(l) = 6*l**2 - j*l**2 + 0*l**2 - 5*l**2. Calculate v(s(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 363 = -3*k - 119, -3*q = -k + 84. Let i = k + -45. Let r = -20 + i. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.88351 millilitres in litres?\nAnswer: 0.05688351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32105104 (base 8) in base 13?\nAnswer: -155b53a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 21*i**2 + 29 - 12 - 7 to p*i**2 + t + n*i and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002551254 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v. Let j(r) = 4*r - 3. Let o be j(2). Let i(z) = -8*z. Let g(a) = o*u(a) + 4*i(a). Let x(n) = -2 + n + 0*n + 2. Calculate g(x(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*p + 20, 4*f - 5*p + 6 = -13. Let k be (-40)\/6*f*3. Suppose -3*n + 14 = 4*y - 14, 0 = 3*n + 2*y - k. Solve -i + n*i = 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7436\/52 + -68 - 56.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198829.\nAnswer: 23, 47, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k + 77 = -5*n, -4*k + 43 = -3*n. Let m(l) = -l**2 - 26*l - 147. Let h be m(n). Solve 3 = -3*d - h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 7*z**2 + z + 4. Let p be m(7). Solve 5*s - 6 = w + p, -3*w = 3*s - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049775 + 4.77?\nAnswer: 4.819775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/139 (b) 0.087 (c) 0.2 (d) -5.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -12*c + 27. Let v be g(2). Solve -v*t = -2*k - 2*t + 4, 3*k + 3*t = 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 14*l - 143. Let g be j(-7). Let y(o) = -20*o + 84. Let k be y(g). Suppose -4*r + 20 = -0*r. Solve -n + k = -r*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -369, -833, -1607, -2691, -4085, -5789?\n\"Answer: -155*b**2 + b - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u*u**23*u)\/u)\/(u*(u**(-13)*u)\/u*u))\/(u*u\/(u*u**(-5\/4))*u*u\/(u\/u**(-22))*u))**(-6) assuming u is positive.\nAnswer: u**(-645\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 179495099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 959, 981, 1001, 1019?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33\/5 of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*3 + sqrt(1872)*-2)**2 + 1*(-1 + (sqrt(130)\/sqrt(10))**2).\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 28. Suppose -t*m + 4055 + 390 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 604*p**3*s**2*v + p**3*v - 2*p**2*s - 28*p**2 - 5*p*s**2*v - p*s**2 wrt p?\nAnswer: 3624*s**2*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 2*x - 2, 6*x = s + 3*x + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85*21\/238)\/(20\/(-18))?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173 - -15. Suppose 0 = 4*t - 5*b - 338, -3*b + u + 79 = 3*t. What are the prime factors of t?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**6 - 58*w**5 - 2*w**2 + 120?\nAnswer: 120*w**3 - 3480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93571840 divided by -5848240.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*w - 303, -5*g + 5*w = -20 - 325. Suppose -g - 82 = -2*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*s + 2*j - j - 209 = 0, 383*s - 386*s + 3*j - 129 = -18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 16. Let w(d) = -d**2. Calculate w(j(t)).\nAnswer: -t**4 + 32*t**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Let d(v) = -3*v**3 - 6*v**2 - 2*v. Let m(c) = c**3 + c**2 - c. Let h(w) = o*m(w) + d(w). Give h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62404 - -4?\nAnswer: -62400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.15 and -2?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 + 216 = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + -1 + (-65)\/13. Factor q - 2\/3*l**2 + 0*l - 2\/3*l**3.\nAnswer: -2*l**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.085 - 0.159. Let a = c + -8.326. What is a rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2436 is divided by 1201.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26.3 - 26. What is the biggest value in j, -5, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3402, -6821, -10240, -13659?\n\"Answer: -3419*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*i*v - 4673*d*i + 18820*d*v**2 - 587*i*v**3 + 695*v**3 wrt i.\nAnswer: d*v - 4673*d - 587*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 351 * 464902\nAnswer: 163180602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) + -1*sqrt(224)*1)\/(sqrt(20)\/(sqrt(15)\/sqrt(3) + sqrt(5))))\/(sqrt(56)\/((sqrt(112) + sqrt(7))*-5)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 165682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162 + -139. What is the remainder when (-1)\/(2 - (-85)\/(-42)) is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.687366 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*z**2 + 114*z - 3 + 123*z - 286*z + 31*z.\nAnswer: -2*z**2 - 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5697 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0105*0.06\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*r - 21, 5*x + 19 = 2*x + 5*r. Let u be (2\/12)\/(2\/292). Let h = 24 - u. Which is the third biggest value? (a) h (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -19*d**3 - 13*d**2 + 23*d + 14. Give w(3).\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196061 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 43. Is j smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3775.6 to the nearest 10.\nAnswer: -3780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 3\/7, -3, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83\/465 - 2\/93. Let f = 58\/7 + -8. Put f, q, 3 in decreasing order.\nAnswer: 3, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = -190. Let g = i + 115\/3. Which is the closest to -1\/4? (a) g (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/100 and 27\/4378850?\nAnswer: 8757700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*h + 58*h = -58*h - 159432. List the prime factors of h.\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*k = 0, 4 = 3*t - 2*k - 16. Suppose 2*w - 4 = -0*w. Suppose t*s - 35 = 5*o, 3*o - 4 = -w*s - 3. What is the remainder when 13 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/3300 and -79\/414.\nAnswer: 227700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**3 + 16*m**2 + 41*m - 12. Let k(d) = -d**3 + d**2 + 6*d. Let b(t) = 6*k(t) - u(t). Determine b(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.881 and -2.3.\nAnswer: -1.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6182304 is divided by 596?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1314 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = 50. Let u = k + 53. Suppose 3*i - u = 2*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) - 96\/15. Let g be (6\/5)\/(n\/(-15)). Let u be (3 + -1)*(-3)\/(-6). Solve g*v = 14 + u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + s)*(40*s - 4*s + 20*s) + (-7 - 8*s + 7)*(3 - 3 - s).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 610 - 592 = 0. Solve -26 = -3*d + 5*w + u, d - 3*w = 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 408.0413ml?\nAnswer: 0.4080413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3 + 652826*n**2 - 2611336*n = 0. What is n?\nAnswer: -326417, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by (-15 - -16) + (-42)\/(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -287*y - 319*y + 1065 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**6\/960 + q**5\/80 + 4*q**3 + 7. Let t(l) be the third derivative of w(l). Factor t(m).\nAnswer: 3*m*(m + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*l - 40. Let s be l\/(-35) - (-19)\/7. Suppose 0 = -s*b + t + 924, 5*t - 1216 = -4*b + t. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 0*(-6 + (-85)\/(-15)). Solve 30*w - 28*w + 5*p + 15 = 0, a*w + p = -16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(704) - (sqrt(1584) + (sqrt(1584)*-1 - sqrt(1584))).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1829046, -1829000, -1828954?\n\"Answer: 46*q - 1829092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 672 = 16*x. Let a(m) = m**3 - 19*m**2 - 42*m - 4. Let i be a(x). Put 8, i, -2, 0 in increasing order.\nAnswer: i, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 13. Let n = v + 7. Put 2, -4, n in decreasing order.\nAnswer: 2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961 = 28*z - 1101 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6063 - 2.4063. Which is the fifth biggest value? (a) 3 (b) t (c) 9 (d) -2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5622 + -5605. Let q(i) = i**2 - 19*i + 34. What is q(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28058 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2039.502 rounded to the nearest 10?\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.516563 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 402 = 4*j. Let d = -110 - j. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 equal to 229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19018487 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14310 and 11925.\nAnswer: 71550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (70 - 25 - -9) + -82?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1323443231 + 11?\nAnswer: -1323443220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (77*30\/(-420))\/1*(-8)\/(-18)\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**2\/5 + 346*q\/5 - 2016\/5.\nAnswer: 2*(q + 63)*(3*q - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18b + -4855?\nAnswer: -46ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m - 1. Let y be r(3). Let x(u) = -24 + 4*u + y + 6*u. Is x(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/27)\/p**(-14) assuming p is positive.\nAnswer: p**(380\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/5*u**4 + 3\/5*u - 6\/5 + 57\/5*u**3 + 9*u**2.\nAnswer: 3*(u + 1)**3*(7*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 14*r + 24. What is p(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 121021?\nAnswer: -121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**3 + 44505*k**2 - 119570175*k + 85991553315 = 0.\nAnswer: 1143, 3879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/o**21*o)*o))\/(o*o*((o**(9\/5)\/o*o)\/o)\/o))**(-24))**(-8\/19) assuming o is positive.\nAnswer: o**(-20928\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -52. Let g be (3 + -6 - 0\/l) + 6. Find the second derivative of -11*m + 2*m**3 - 7*m**g - 3*m**3 + m**3 wrt m.\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 - 5. Let f(c) = -5*c**2 - 2. Let h(x) = 6*x**2 + 2. Let p(k) = 5*f(k) + 4*h(k). Let o(m) = 2*n(m) - 5*p(m). Let l(b) = -b. Give l(o(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/13 (c) 1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38515397\/3 or 12838467?\nAnswer: 12838467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-10)\/(-15))\/((-2)\/(-306))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 15. Suppose -4*b + n = w - 5, b + 2*w = -3. Solve b*h + 4*i + 3 = 0, -5*h + 3*h - i = 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**2 - 270432*y + 4570841664 = 0?\nAnswer: 33804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -3\/20*r**5 + 3\/4*r**4 + 3*r**2 - 13*r + 5\/2*r**3 - 1\/10*r**6 + 0. Determine u, given that k(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*60\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(343) - (3 + -1*sqrt(343)) - (sqrt(343) + -1)*4 - (sqrt(343) - 4*(sqrt(343) + 0))*-5)**2*-4.\nAnswer: -396516 + 952*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358 + -148845?\nAnswer: -148476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 6:28 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/324*(-6)\/(-4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 1 (b) 2 (c) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3)\/(-4 + (12 - 3)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 7*j**2 - 7*j. Let m be h(-6). Suppose -3*c - 107 = -8*c + 4*o, -c + 17 = -3*o. Let f = 27 - c. What is the highest common divisor of f and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(18\/15)\/3. Let z(x) = x**3 + 4*x**2 - 2*x - 1. Determine z(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -12 + 12 + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -38. Let h = y - 8. Suppose h*v - 4*p - 15 = 0, 25 = 6*v - v - 2*p. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -304, -208, 630, 2558, 5924, 11076, 18362?\n\"Answer: 58*a**3 + 23*a**2 - 379*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 185?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 22*f + 55. Calculate j(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 3\/6033319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.1 - -2.1. Put 3, -2\/9, f in descending order.\nAnswer: 3, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(10)*-1)\/sqrt(2) - (sqrt(60)\/(sqrt(12) + sqrt(192)) + sqrt(5)))**2 + (-3*sqrt(800) - sqrt(50))\/sqrt(10).\nAnswer: -13*sqrt(5) + 16\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvn when three letters picked without replacement from nugguuvguunn.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*y - 3. Let l be (-1 + y)\/(4\/4). Suppose l*s + 6*s - 522 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 697355 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 32. What is the common denominator of -51\/14 and -13*(-21)\/b - 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -197*b**3 + 11*b**2 + 11*b - 29. Is 9 a factor of c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-5)\/10*-36*120\/(-324).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150 - -271. Suppose u - o = 4*n, -6*u + 2*u + 2*n + 414 = 0. Suppose u*b + 156 = 102*b. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/27936 and 73\/20952.\nAnswer: 83808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 2. Let v be c(4). Let z be v\/2 - 1*-6. Solve -4*k - 27 = z*r, -2*k - 4*r = k + 29 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -102, -249, -508, -915, -1506, -2317, -3384?\n\"Answer: -6*k**3 - 2*k**2 - 23*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 10*v**3 - 3*v - 8*v**3 - 5009.\nAnswer: 2*v**3 - 2*v - 5009","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 18. Suppose 4*a - 3*p + 0*p = 57, a - 15 = p. What is the greatest common factor of a and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319756?\nAnswer: 2, 79939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/4 (b) -4.88 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 1, 805, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5 - 300069*y**4 + 2400351*y**3 + 900213*y**2 - 7801218*y + 4800720 = 0. Calculate y.\nAnswer: -2, 1, 8, 100015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 8*d**2 - 10*d + 7. Let b be f(9). Let l be 3*((-40)\/(-3))\/(-4). Let c be b\/(-5) + (-56)\/l. What is the highest common divisor of 4 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*o + 44 = 0, -5*t + o + o + 94 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 + -100010111?\nAnswer: -100002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -627, 4, -3, 5, 2, 7 in increasing order.\nAnswer: -627, -3, 2, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 11 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36587 bigger than 36587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 156*i - 1392. Calculate the remainder when x(96) is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 1184.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/17177 and 38\/267?\nAnswer: 51531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -40. Suppose 194 = 8*m + 18. Calculate the lowest common multiple of c and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22928\/7 bigger than -3276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.002831117 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 70.1 * 1.2373\nAnswer: 86.73473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -2 - ((23 - 8) + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -100*q - 5 + 0 + 4 - q**3 + 48*q + 49*q. Let d(k) = k. Determine 5*d(s) + 2*p(s).\nAnswer: -2*s**3 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28028 by -1274.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 44*s - 371. Calculate n(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71764*z**2 + 20*z + 30826641 wrt z?\nAnswer: 143528*z + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33907 - 13307. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106290804162.713322 - 106290493739. Let k = 310424 - h. Let v = -0.287 + k. What is v rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54270 - -54096.859. Let b = v - -173. Let k = 0.041 + b. Which is greater: 2\/7 or k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.1 - -6.6. Which is the nearest to -2\/7? (a) u (b) -1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + 0*q**4 - q**4 + (-5 - 3 + 0)*(0*q**4 + 2*q**4 - 3*q**4) + 24*q**4 - 92*q + 92*q)*(-4 + 3 + 0)*(3*q + 0 + 0).\nAnswer: -99*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22000 + 322?\nAnswer: 22322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 3728958390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6333136 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/x)\/(x**5\/x*x))**(-30)*(x*x\/(x*x**(2\/7))*x)**(6\/7)*x**(2\/5)\/((x*x**(-5))\/x) assuming x is positive.\nAnswer: x**(23733\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6222 and 2196?\nAnswer: 37332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 2 + -8 + (-9 - -20).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 1969513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3*y**2*z - k**3*z**3 + 12*k**2*y**2*z**2 - k**2*y**2*z - 4*y**2*z**3 wrt k.\nAnswer: -12*y**2*z - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1036122026*b + 595878002 wrt b.\nAnswer: -1036122026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 64 = -3*r - 236, 0 = 3*g + r - 92. Factor 0 + 40*h - 12 + g - 105*h**2.\nAnswer: -5*(3*h - 2)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**8\/2352 - j**7\/735 + j**5\/210 + j**4\/168 + 38*j**2 + 1. What is s in v(s) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 4*z**2 - 5*z + 3. Let t be k(-4). Is -0.2 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -60 + 75 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 - 29 = 0. Let l be (-68)\/x - (-16)\/(-56). Is (108\/l)\/(6\/(-20)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + y + 2*y)*(-y - 2*y + 5*y + (-4 + 4 + 2)*(-y + 2*y + y) + (3 - 4 + 2)*(-1 - 2*y + 1) - y - 6*y + 4*y) to w*y**2 + p + k*y and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -2*g**3\/3 - 1. Let i be (4\/7)\/(10\/35). Let y(r) = 3*r**i - 4*r**2 + 2*r**2. Give y(c(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 523*n**2 - 332*n**2 - 450*n**2 as t*n + x + k*n**2 and give k.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -875 divided by -35\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -176, 0, 4, 2, 1854, 7, 3 in ascending order.\nAnswer: -176, 0, 2, 3, 4, 7, 1854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + 4 + sqrt(13) + 5)**2*4*4.\nAnswer: 1024*sqrt(13) + 4928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162737501.\nAnswer: 131, 1242271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -275.7 + 289. Let w = g + -13. Which is the third smallest value? (a) 2 (b) w (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 4)*(t + 3*t - 5*t)*(2*t**2 + 0 + 0).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 391441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 1:11 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -5b?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -15, -25, -39, -57, -79, -105?\n\"Answer: -2*v**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v - v + 3*v + (v + 0*v - 2*v)*(0 + 2 + 0))*(-v**2 - 2*v**3 + v**2).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 1\/4, -2\/5, 2\/13, 1\/9 in decreasing order.\nAnswer: 1\/4, 2\/13, 1\/8, 1\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, z: 8, t: 7}. What is prob of picking 3 m and 1 z?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 33.3. Let r = 4 - 4.04. Let y = r + -0.46. Sort v, 3, y in ascending order.\nAnswer: y, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4478 - -4505. What is the smallest common multiple of 2106 and i?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.5, -0.2, 4.3, 30\/91?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3621932 and 109\/14.\nAnswer: 25353524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -207617 - -1868569\/9. Factor 1\/9*p**5 + c*p**4 + 4\/3 + 49\/9*p + 76\/9*p**2 + 6*p**3.\nAnswer: (p + 1)**4*(p + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*s - 21*s + 27*s)*(2 - 3 - 1) + (2 + 0 - 1)*(-5*s + 4*s + 2*s).\nAnswer: -163*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3018 + 1958 + 2312 + 3955 + 4935)*(-4*c + 1 - 1).\nAnswer: -40568*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8763285 and -143\/48.\nAnswer: 140212560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103420 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400202 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -4, 0.02, -3.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117 + -115. Suppose q + r = 2, 3*q - 4*r = -v*r + 16. What is the highest common factor of q and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6.3. Let y be -6 - ((-225)\/(-156))\/(4\/(-16)). What is the nearest to 1 in y, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 8*b. Let k(s) = -s - 1. Let f(d) = k(d) - p(d). Let y be f(7). Is y < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -71. Let n = h + 35. Let g(m) = m**2 + 14 + 0*m**2 + 2 - 5*m + 4 - 21. Give g(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 14. Let b = 22 + p. Suppose 3*x + b = 2*x, 2*s - 26 = 2*x. Calculate the remainder when 26 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2*g**2 + 0*g**2 + 5*g**2.\nAnswer: 7*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/9, 2, -10882\/5, 4\/5, 4 in decreasing order.\nAnswer: 4, 2, 4\/5, 2\/9, -2, -10882\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 21*f**2 + 11*f. Let z be q(-5). Let j = 1111 - z. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 1. Let x(s) = 30*s - 17. Let l(c) = 6*n(c) - x(c). Is l(-8) 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 1951, 1937, 1923, 1909?\n\"Answer: -14*p + 1965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2580269 and -12999498.\nAnswer: -12999497.7419731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + 10 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1053 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34042936027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 248\/(-10)*(-10)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35 and -3035.\nAnswer: -106225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139\/7 or -8163?\nAnswer: -8163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.2559643 rounded to 2 decimal places?\nAnswer: 23.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8402638 to the nearest integer?\nAnswer: 2899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 473 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 12. Find the third derivative of -8*g**x + 6*g**6 + 0*g**2 + 4*g**2 - 2*g**2 wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 15013651?\nAnswer: 15013651.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 3:54 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19 from -429447.\nAnswer: -429466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 9. Calculate the greatest common divisor of 35 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17405 (base 15) to base 3\nAnswer: 10211002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -13080*f - 1883525. Determine v(-144).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12891126 and 11916.\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*c**3 + 3*c + 7*c - 73*c**3.\nAnswer: c**3 + 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6071565277 to the nearest integer?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.635127 minus 0.14?\nAnswer: -137.775127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 = -16328*k + 16344*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 = -3. Let f be 76\/228 - 14\/15. Which is the closest to 1\/4? (a) f (b) k (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.172 times 7.6092\nAnswer: 1.3087824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/705, -0.2, -37?\nAnswer: -7\/705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 24030116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 0*r - 1 + 1. Let d be l(4). Let z(c) = c**2 - 4*c - 2. Determine z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**2 - m**2 + 0*m**2)*(-365*m - 2 - 3 + 5) to b*m**2 + o + f*m**3 + j*m and give f.\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + (-1032)\/(-36))*(156\/8)\/13.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16591\/4, -2, -5 in decreasing order.\nAnswer: 16591\/4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22680000 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -43.1. Let t = m - 3. Let s = -2\/757 - 1468\/17411. What is the nearest to t in s, 5, 3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 8*q - 4. Let v(u) be the first derivative of -u**4\/4 - 4*u**3\/3 - u**2 - u - 1. What is the units digit of v(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001431356 to five dps.\nAnswer: -0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iod when three letters picked without replacement from xdoodidpoooioipd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + -99. Suppose 5*z = -g + 21. Let k(u) = -u**3 + 6*u**2 + 2. Let t be k(6). Solve l + 9 = 2*q, t*q = -3*l + z*q - 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/4197576 and 133\/226896.\nAnswer: 8395152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from {c: 1, b: 5, z: 5}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 976326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1050*j - 1049*j + j**4 + 2*j**2 + 2*j**3 + j**4 - 1 as r*j**2 + z*j**3 + c*j**4 + l*j + y and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*k + 5*f - 4*f, 4*k - 2*f - 8 = 0. Suppose 19*d + k*p + 199 = 24*d, -5*d = -5*p - 195. Calculate the remainder when d is divided by 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140900 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/2*((-24)\/(-70))\/(-2). Let c be (-342)\/(-210) + 4\/14. Let f = c + g. What is the nearest to 0.2 in -0.5, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.3 - -41.1. Sort 3, -2\/9, 11, m in ascending order.\nAnswer: -2\/9, m, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -177 - -150 - (-9 + -4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.6178258ug?\nAnswer: 617.8258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4334 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7161.379 decades in centuries?\nAnswer: 716.1379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -8. Suppose z = -0*z + c. Solve 2*k - k - z = -4*j, 3*j + 4*k = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3675.504428 to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 35 - 14)*(5*d**3 + 87*d - 87*d) to the form t*d**2 + v + a*d + n*d**3 and give n.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -15201*j**2 + 7*j - 10. Let c be q(5). What is c rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3694409619.\nAnswer: 3, 15731, 78283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -11210.28 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 - 5*v + 29. Let m(d) = -12*d**2 - 12*d + 56. Determine -5*i(n) + 2*m(n).\nAnswer: n**2 + n - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -9 (c) -16 (d) 2\/1139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wqwwqqqqqqwqqwwwwwwq?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 22, 51, 100, 175?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2cb7f7 (base 16) to base 7.\nAnswer: 33624153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.02 - -0.02. Let o = -142 + 138. Which is the biggest value? (a) o (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40.5 + 41. Let n = -3.05 + 0.05. Let m(x) = -x**2 + 6*x - 13. Let u be m(3). Which is the nearest to n? (a) u (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -26. Let a = 31 - i. Calculate the remainder when (3\/6)\/((-3)\/(-96)) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 115.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**3 + 5*u**2 + 2*u - 2. Let j(r) = 3*r**3 + 2*r**2 + r - 1. Determine 10*j(l) - 4*s(l).\nAnswer: 10*l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 11:21 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1401 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0548 - 0.30852. Let k = 0.66333 + i. Let l = k - 0.3. What is l rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 2*b)*(-3*b - b + 2*b) + 0 - 13*b**2 + 0.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03089 - 0.03088143. What is n rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/36)\/(1\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/2 - 2062799*r**2\/10 - 495073*r\/2 - 412561\/10 = 0. What is r?\nAnswer: -1, -1\/5, 412561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k - 134. Let z = k - -68. Is z > 3\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 86, 278, 652, 1268?\nAnswer: 2186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**2*g + 10944*a**2 + 576276*a*g + 6*g with respect to g.\nAnswer: 4*a**2 + 576276*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26906452.\nAnswer: 2, 79, 85147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j + j)*(-93*j + 188*j - 94*j - 164)*(5*j - 5*j - 2*j).\nAnswer: 2*j**3 - 328*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8329 and 0.1?\nAnswer: 8328.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*p**2*v + a**2 + 2*a*p**2*v + a*v + 7*p**2*v + 7 wrt p.\nAnswer: -4*a**2*p*v + 4*a*p*v + 14*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-200)*-4*-35*27\/1134?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 3*s**2 + 159. Let q(p) = 0*p**2 - 2*p**2 + p**2. Calculate j(q(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96145 - y**2 - 96145.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 3*l + 3. Determine s(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 309b68?\nAnswer: 309b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -284\nAnswer: -25.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + (-9 - 10) + 71?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*w - 18 = -9*w, -4*g = 5*w + 72. Let r = g - -29. Let p = 4 + -2. Solve -r = l + 2*a - 4*a, 2*a = p*l + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 10*r - 0 + 90 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20518776 is divided by 7192?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 27 + 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -1603979?\nAnswer: 1603979.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.88 - 0.28. Which is the second biggest value? (a) -3 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287016019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 1856*d - 751704. Give x(342).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**3 - w. Let v(b) = -5*b**3 + 2*b. What is -4*k(r) - 3*v(r)?\nAnswer: -r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 + 1 + 3 - 4 - 10*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -1\/4 (c) 4 (d) -981 (e) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f - 5. Let d be j(-10). Round d to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107826 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 0*o + 5*o)*(-2*o**3 + 0*o**3 - o**3) + 0*o**4 - o**4 + 2*o**4 to the form r + t*o**2 + b*o + u*o**4 + a*o**3 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -2*t**6\/3 - 562*t**5\/25 - 3*t**4\/5 + 1246*t**3\/15 + 38*t**2 - 336*t\/5 + 6028. Solve a(y) = 0 for y.\nAnswer: -28, -1, 2\/5, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 0.4 (c) -50\/137 (d) 1 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -16 + 0 + -37 + 31?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyqqyqyqyqqyqy. What is prob of sequence yqq?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(228) + (sqrt(228) + 2*sqrt(228) + sqrt(228) - sqrt(228))) - sqrt(228)*-1*-4)\/((2*-2*sqrt(12) - sqrt(12)) + sqrt(12) - sqrt(108)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 11 = 29. Suppose r = -3*r + j. Suppose -r*p - c = -2*c, 4*c = 16. Solve p*m + 2 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*q - 8 = 0, 9*q - 7*q = -p + 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 519612369 a multiple of 6413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - y + 0*y)*(-4 + 1 + 5)*(273 - 227 + 255) as w*y + t and give w.\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -35*u**4 + 118*u**3 + 25*u**2 - 14*u. Let o(r) = -4*r**4 + 13*r**3 + 3*r**2 - 2*r. Let g(j) = -6*c(j) + 57*o(j). Determine h so that g(h) = 0.\nAnswer: -1, 0, 5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 5)*(x - 2*x + 3*x) + 28*x - 10*x - 12*x - 15 + 3*x + 12*x + 13 to the form a + u*x and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 6*x + 8*x - 88 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j + 3. Let t(x) be the second derivative of 7*x**3\/6 - 2*x**2 + 29*x. Determine 5*m(a) + 4*t(a).\nAnswer: -7*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 217788589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, k: 1, i: 2}. What is prob of picking 1 i and 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -j - 0*j + 424, -2*f + 852 = j. Let y = -258 + f. Suppose -3*q + q + 3*b = -315, -b = q - y. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35022337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27035, -26824, -26613, -26402, -26191?\n\"Answer: 211*j - 27246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*u - 20 = -4*i, 0 = 2*i + 3*u + 4. Let b be (-1 + 6)*-12*i\/10. Let m = -1 - 3. Sort 2, b, m, -1 in descending order.\nAnswer: 2, -1, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.97 + -4. Let i = v + -0.37. Which is the nearest to -2\/7? (a) 3\/8 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*r - 8612 = -1772. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165*y - 165*y - 39*y**2)*(6*y - 6*y + 7*y**2).\nAnswer: -273*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (353 - 354)\/((8\/(-6))\/4). Let l = 2\/47 + 41\/141. Which is the nearest to -3? (a) -4 (b) -2\/9 (c) l (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 119884001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 9) to base 6\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 54*d - 7321510 = 56*d, 0 = 4*d + 20. What is j rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11330*d*z**3 - 4435*d - 111*z**3 - z**2 - 582 wrt z?\nAnswer: 67980*d - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10813 - 2?\nAnswer: -10815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13495, -26995, -40529, -54115, -67771, -81515, -95365, -109339?\n\"Answer: -3*p**3 + p**2 - 13482*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 0 = 2*a. Let v(y) = -y + 9. Let f be v(a). Suppose -2*c + 10 = 0, 241 - 1263 = -4*n - f*c. What is the greatest common factor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 15 = 15. Suppose p = -a + 17 - 19, w + 15 = -5*a. Let u(q) = q**2 + 6*q - 2. What is u(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6951.\nAnswer: 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112.1 - 112.099997695. What is r rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 745 = 770 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 5 = 11*d. What is the common denominator of (145\/6 - 1) + -2 and d\/((-40)\/(-73))*(0 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000030248 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*j + 27, 6 + 9 = -j + 2*u. Let x(g) be the third derivative of -g**4\/12 - 5*g**3\/3 + 192*g**2. Give x(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 29*z**2 - 19*z + 10. Determine j(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 divided by -29.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 367, 692, 1543, 3184, 5879?\n\"Answer: 44*o**3 - o**2 + 20*o + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (4\/3)\/((-22)\/(-99)) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385365943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 1. Let d = -10.4 - -7.3. Let p = d - -3. What is the closest to p in m, -3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(1 - -1) + -1. Suppose -2*n - 2*n = -4*y - 68, q*n - 75 = 3*y. Let x be (n\/18)\/((-4)\/(-18)). Solve -x*k - 3 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114177 and 14028?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19314, 19232, 19106, 18936?\n\"Answer: -22*b**2 - 16*b + 19352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 74*y + 68. Let s be x(-32). Let l be (-24)\/4 - s\/45. Which is the second biggest value? (a) -3 (b) l (c) -1\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 4. Let o(p) = p - 3. Let i(d) = 5*h(d) + 6*o(d). What is the units digit of i(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64527847.999799 - 64527978. Let i = -130 - h. Round i to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)\/r*r)\/r**(-2)*(r**(-2\/3))**35 assuming r is positive.\nAnswer: r**(-253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4*q + p**3*q**2 + 30*p**2*q**3 - 2*p*q**3 + 8*p*q**2 - 2*p wrt p?\nAnswer: 24*p**2*q + 6*p*q**2 + 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110010 (base 2) to base 5.\nAnswer: -1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) -1\/2 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 7 = -g, 2 = g - v + 1. Let a = 1 - g. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 7:43 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 - 0.0556878.\nAnswer: 63.9443122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 13*n + 22*n - 3*n + 28*n.\nAnswer: 63*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6603184, 13206370, 19809556, 26412742?\n\"Answer: 6603186*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 18*i - 27. What is p(-17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -229899612*o + 176633853 wrt o?\nAnswer: -229899612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19*v - 77. Calculate i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5736 and 445974?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 14*z - 17. Let t be m(16). Let r = t + -5. Calculate the remainder when 18 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1898990.\nAnswer: 2, 5, 53, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67 - 260*m**2 + 16*m + 262*m**2 - 16*m + (-8*m + 2*m - m)*(2*m + m - 4*m).\nAnswer: 9*m**2 - 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (84\/(-9))\/(3\/9) + -2. Let k = -6 - a. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + x + 9)*(-36*x**3 - 58*x**3 - 38*x**3).\nAnswer: -132*x**4 - 1584*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d - 47*d = -819. Suppose d = -4*k + 8*k + w, -2*k - 2*w + 60 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 3 + 908*t - 900*t - 21. Let w be u(8). What is the highest common factor of 78 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 75 = -635. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w + 19. Let h(g) be the first derivative of 5*g**2\/2 + 10*g - 1696. Calculate 5*h(n) - 3*m(n).\nAnswer: -2*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*r**2 - 546561*r - 546573 = 0. Calculate r.\nAnswer: -1, 182191\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12882937?\nAnswer: 139, 92683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24809 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1550254376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 10:49 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3)*-2 + sqrt(3) + sqrt(3)) - sqrt(3)) + -1 + sqrt(288)\/sqrt(6))**2 + (-2 + sqrt(48))*-6.\nAnswer: -32*sqrt(3) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -42826 divided by 49\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 4257862?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlllslllrlsssrll. Give prob of picking 1 n and 3 l.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 4, 6, 9, 27 in decreasing order.\nAnswer: 27, 9, 6, 4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28575 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-189)\/(-252))\/(((-2)\/16)\/1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -49?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*j + 22*j - 266*j.\nAnswer: -206*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**3 + 4*c**2 - 1 + c - 4*c**2. Let p(f) = 2*f**2 + 1. Let o(t) = 3*a(t) - 4*p(t). Solve o(u) = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4704*j**2 - 1 + 4849*j**2 + 1.\nAnswer: 145*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 3 - 2 - 1. Let f be o(-4). Let k be 1 + -641 + f + -2. Round k to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, f: 1, h: 1, a: 1, c: 2, d: 1}. What is prob of sequence acdo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 230032?\nAnswer: 230033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*b - 323*b = -9. Let g(n) = n**2 + 7*n - 8. What is g(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 10:28 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29199 - 29198.6. Which is the smallest value? (a) z (b) -3\/2 (c) 2\/3 (d) -0.1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -101?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5544\/648*(-92)\/253.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5 - 245*j**4\/12 + 130*j**3 - 90*j**2 + j - 20. Solve i(o) = 0.\nAnswer: 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873547 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.798553 + 0.025017. Let p = b + -336.23357. Let w = p - -333. Round w to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(208) + 0)**2 + sqrt(208)) + 5.\nAnswer: 12*sqrt(13) + 629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6089.\nAnswer: 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 + 2045*w**2 - 109200*w + 1570500 = 0 for w.\nAnswer: 30, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/20 - (-17)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20973595309449 + -2.\nAnswer: -20973595309451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i - 11. Let x(w) = 9*w - 34. Determine 2*x(o) - 7*z(o).\nAnswer: -17*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5956? (a) 0.5 (b) 5 (c) 7 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(80) + -1*sqrt(80) + sqrt(80) - (sqrt(80) + 5*1*sqrt(80) - sqrt(80))) + -3*6*sqrt(80)*2)*-5)**2.\nAnswer: -16000*sqrt(5) + 3200100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13833 by -5.\nAnswer: 13833\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586022593?\nAnswer: 67, 3019, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10162972 divided by 5081486\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -111001110 (base 2) to base 8\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.9 - 29. Which is the closest to -0.1? (a) -2 (b) 3 (c) f (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 2 - 3*n**2 + 2 to b*n + f + a*n**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8958273.\nAnswer: 3, 83, 35977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -2, -11, -0.4 in increasing order.\nAnswer: -11, -2, -4\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -524, -0.5, -66\/19?\nAnswer: -524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2161109 by 1.\nAnswer: -2161109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -8.5, 2.6, -0.12?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12390000 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g - 4255 = -2371 - 2586 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + f. Let x(d) be the first derivative of 2*d**3\/3 + 2*d + 4124. What is x(c(h))?\nAnswer: 8*h**4 + 8*h**3 + 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**5\/20 - h**4\/4 + h**3\/6 + h**2 + 70*h - 32. Let w(n) be the first derivative of b(n). Determine w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -437*h**3 + h**2 - 3*h + 3. Let r(p) = -1312*p**3 + 3*p**2 - 8*p + 8. Calculate -8*a(w) + 3*r(w).\nAnswer: -440*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24638.\nAnswer: 2, 97, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4680703.\nAnswer: 491, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6979 or -8769?\nAnswer: 6979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 4.7.\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1. Let r be -5 - -4*2\/4. What is the nearest to r in -4, k, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 2) + 21\/6. Which is the third smallest value? (a) -2 (b) 1 (c) y (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-9\/2)*h)**(3\/11) assuming h is positive.\nAnswer: h**(-15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 50*m + 403. Give h(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58601\/15 + -3911. Calculate the common denominator of c and 23\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -134, 2, -0.06, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6168 + 6167.6961. What is w rounded to 3 decimal places?\nAnswer: -0.304","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 23 + 3 + 5 - 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014929836 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 = 17, -3*w + 2*n = -3082. Calculate the remainder when w is divided by 226.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - l = -6, 0 = 2*p - 5*l - 0*l + 6. Suppose -5*u + 4*u + 2*x = -12, 8 = -u - 2*x. Solve -u*a = -4 - p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*k + 160, 0*v - 144 = -2*v - 3*k. Let x = -323 + 396. Let f = x - v. Are f and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z**(2\/7)*z)\/(z**(-1))**(17\/5)*((z\/(z\/z**1*z))\/z)**6\/((z*z**(1\/5))\/((z\/z**4*z)\/z)) assuming z is positive.\nAnswer: z**(-263\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + (-176 - -229 - 87)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 9*v**2 + v - 9. Let t be r(9). Suppose z + t*z - 649 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 801 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(20)\/sqrt(4) + -4)**2 - (1 + sqrt(5) + 3)).\nAnswer: -9*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(39) - sqrt(39)*-2)\/sqrt(3) - 3*(1 + sqrt(13))**2.\nAnswer: -42 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3738215204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((126\/(-15))\/(-3) + -3). Suppose -2*q + 43 = k*s, 2*q + 2*q = -4*s + 32. Let j be (3\/4)\/(2\/8). Calculate the highest common factor of j and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199585117.\nAnswer: 17, 491, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 58911600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74179 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.169563 months?\nAnswer: 0.0001413025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 957, 2086, 3215?\nAnswer: 4344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 13*x - 14*x, -3*x = 3*v - 24. Let d = -1 + 1. Suppose d = -2*a - 2*a. Solve a = -4*l - 6 - v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -6*(3 - 2). Suppose 2*l - z = 6*l. Is l\/14 - (-7368)\/28 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -7. Let s be 0\/(t*2\/(-1)). Let l = 9 - s. What is the lowest common multiple of 5 and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2338 divided by 2338\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77223.89km in meters?\nAnswer: 77223890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -679, -1343, -1981, -2587, -3155?\n\"Answer: z**3 + 7*z**2 - 692*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 960 and 5344.\nAnswer: 160320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**3 - t**2 - 4*t. Let g(i) = -6*i**3 - i**2 - 5*i. Let f(u) = 41*u - 4. Let j be f(0). What is j*g(m) + 5*n(m)?\nAnswer: -11*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = -9. What is the second derivative of -7*n + 9 - 6*n**d + 0*n**3 - 9 wrt n?\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83839, -83840, -83841, -83842, -83843?\nAnswer: -83844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/3 greater than -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.805*-59.\nAnswer: -637.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 7*o**2 + 3. Let t be w(-7). Suppose 92 = t*c + c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2924 + 2954. Calculate the highest common divisor of 318 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15217*b**2 + 144*b + 573. Is m(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/29 and 63\/10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-126)\/(-10) + (-4)\/(-10). Let v(n) = -n**2 - 4*n - 9. Let x be v(-4). Let b = l + x. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + (2 - 0))*1. Suppose 0 = -a*p - 0*p. Suppose 4*j = 12 - p. Let c(y) = y**3 - y**2 - 2*y - 1. What is c(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/(9\/24*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1197 and 710220.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**3 + 35615*s**2 - 8658715*s + 8623105 = 0.\nAnswer: 1, 251, 6871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1839894\/103656*8\/(-6).\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**4 + 49*m**3 - 3*m**2 + 438.\nAnswer: 24*m + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 36.813?\nAnswer: -14.7252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 606\nAnswer: 9090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h**2 + h + 1. Let a(t) = -6*t**3 - 2*t**2 + 3*t - 4. Let f(o) = a(o) + 5*x(o). Suppose -3*r - g = 20, 5*r + 5*g - 12 = 4*r. What is f(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/14)\/((-2202)\/8074). Factor 1\/7*h**2 + w - 13\/7*h.\nAnswer: (h - 11)*(h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-26))\/(-104*70\/(-3640)).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2 + 35*y + 18. Let h(s) = 5*s**2 + 31*s + 17. Let r(f) = 7*h(f) - 6*q(f). Give r(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 5 (c) 1\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-25)\/((-2475)\/(-22))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38176 + -5?\nAnswer: -38180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c. Let n be o(-9). Suppose -3*p + 4*p = 12. What is the greatest common factor of n and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 5*u + 4. Let r be g(-3). Let y be (20\/30)\/(r\/6). Which is the second smallest value? (a) y (b) 2\/9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/4 (b) -0.7 (c) 186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1104*s**3 + 4270*s**2 + 3832*s - 584 = 0.\nAnswer: -2, 73\/552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-5 - -4)*8). Suppose 3*v - 2 + 14 = 0. Let m = 3 + 0. Sort d, m, v in descending order.\nAnswer: m, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - x + 2. Let k be q(2). Suppose h + 20 - k = 0. Let i be -4 - -4 - h\/(-18). Is 0 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -0.5 (b) 4 (c) -0.4 (d) 0.9 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -25, -5*s - 4*j + j + 5 = 0. What is the units digit of s\/(-10) - (-136)\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - 2304132030?\nAnswer: -2304132114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2. Let m(p) = -38*p + 68*p - 33*p. Give m(t(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**2 + o**2 + o**2 + (2*o - 6*o + 3*o)*(-8*o - 8*o + 6*o) in the form z*o**2 + m*o + h and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4979000 to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69551 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225187 is divided by 141.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 594\/((-16)\/(-18)*420\/80). Let g = k + -127. What is the biggest value in -1\/5, -0.5, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 132*q**2 - 154*q + 265. Give v(-133).\nAnswer: 3058","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309148285 to the nearest integer?\nAnswer: 17583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*v + 2*v. Let f = 16 - 5. Suppose 5*z - f = 9. Solve 20 = z*q, v*q = -2*n - 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4447*m**4 - 3*m**2 - 1177*m wrt m.\nAnswer: -106728*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**1))\/(y*y*y**(3\/8)))\/(y**(-1))**(1\/6)*(y**(-6)*y**(-4\/3))\/((y*y**2*y)\/y*y*y**(-2\/5)*y) assuming y is positive.\nAnswer: y**(-1577\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 23520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - c = -10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 68057\nAnswer: 68062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-4)\/2)\/(-6*(-3)\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 4*u = 2*a + 5, 5*a = 2*u - 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2\/6 + 2338775*i\/6 + 1169387\/3 = 0.\nAnswer: -2338774, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -16*o**3 - o**2 - 2*o + 2. Let d(n) = 32*n**3 + 3*n**2 + 5*n - 5. What is 2*d(h) + 5*g(h)?\nAnswer: -16*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 8 - 1 + m**3 + 1. Let n(s) be the second derivative of -7*s**3\/6 + s. Determine g(n(b)).\nAnswer: 147*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18797\/38 - -985\/2. What is the common denominator of y and 133\/6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g + 88*g - 157*g - 177*g.\nAnswer: -230*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t**3 - 6*t**2 - 5*t. Let h(f) = -f**2 - 3*f - 2*f**3 + 2*f - f**3 + 2*f**3. Let l(v) = b(v) - 6*h(v). What is the second derivative of l(c) wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8422 - 8418. Solve -l*a = 4*g + 28, 3*a = 5*a + 4*g + 22 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*q - 0. Let x be 1\/(q + -2)*-1. Let o = -179\/63 - -23\/9. Is o equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)\/s)**12*s\/s**9*s\/s**(-3\/5) assuming s is positive.\nAnswer: s**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -10*w - 19*w + 15*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4583*k - 4472*k = -444 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -2*w + 75 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15630 + 15628. Let j = 11 + -15. Which is the third smallest value? (a) j (b) 1\/3 (c) 4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**2 + 68*x - 29*x**3 - 23*x**3 + 71*x**3 + 2*x**4 - 27*x**3 wrt x?\nAnswer: 48*x - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 5, -254\/1859, -3\/4?\nAnswer: -254\/1859","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -568\/1445623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - ((-4)\/(-12) + -1)) + 6132\/10296 and -19\/8.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u - 44*u + 27*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5272195 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 265633 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: Let o(m) = 28*m**2 - 10*m**2 + 3*m - 2*m. What are the prime factors of o(-3)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 153*u - 178*u - 324 - 1051 for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1440 and 504?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1058 - 634. Let z be 2\/(-9) - t\/36. What is z rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = 5*m - 16, -p + 17 = 4*m. Let n = 18 + 15. Let s = n + m. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39038 + 99069. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(357\/108) + (4 - 2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47561016 (base 8) in base 2?\nAnswer: -100111101110001000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10122?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -19*w**2 + 1\/24*w**4 + 1\/120*w**5 + 0*w + 5\/3*w**3 + 0. Let r(c) be the first derivative of u(c). What is r(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39974535 to the nearest integer?\nAnswer: 6323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 7*k + 9. What is a(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3294)\/81*(-327)\/(-218)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36142, -36151, -36158, -36157, -36142, -36107, -36046, -35953?\nAnswer: -35822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**14)**(2\/11)*(q\/q**(-1\/17))**(-29) assuming q is positive.\nAnswer: q**(-5266\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53, 392, 1305, 3074, 5981, 10308, 16337, 24350?\n\"Answer: 47*d**3 + 5*d**2 - 5*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + 0 + 34 + -45 - 2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:09 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (629 + 171 + 79)*(4*l - 2*l - 3*l).\nAnswer: -879*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**4\/4 - 3*m**3 + m**2\/2 + 8*m - 166. What is x(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33305659?\nAnswer: 29, 83, 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 77.94 and 412.\nAnswer: 489.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n - 2*b + 329 = 0, b = -4*n + 265. Solve -i - 66 = -n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -23. Let s = -3 - -6. Suppose -4*f + 2*l - 19 = s, 3*f + l = -9. Let u(m) = -3*m - 3. Let y(h) = 2*h + 2. Give f*y(b) + q*u(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssr when three letters picked without replacement from {t: 7, s: 3, w: 4, r: 1, d: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 34. Let a(n) = 11. Let c(o) = 11*a(o) + 4*k(o). Let m be c(-3). Let p(v) = -v + 1. What is p(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 139626.5 grams?\nAnswer: 139626500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 85*n - 207959. What are the prime factors of n?\nAnswer: 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 6:27 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 14*s**2 - 5*s - 1. What is the tens digit of a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9857 times -5968\nAnswer: -58826576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7690 and 177848168.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73627082.\nAnswer: 2, 3299, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -34. Suppose 5*j + 10 = m*k - 18, -5*j - 7 = -k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*24\/27 + (-2)\/3. Suppose -7*c + 6*c = -v. Factor -9\/2*k**c + 0 + 3\/2*k**3 + 3*k.\nAnswer: 3*k*(k - 2)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 581.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390774 is divided by 82.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 0 - 44*j**2 - 6 + 52*j**2. Let q(k) = k**2 - 1. Let c(l) = 6*q(l) - u(l). Let f(o) = -25*o**2. Give f(c(h)).\nAnswer: -100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236928218 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: Solve 0*n - 6 = 2*n, 5*d + 5*n + 5 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*t + 288 - 1152. Let w(z) = -z**3 + 2*z**2 - 5*z - 1. Let a be w(-4). Suppose -3*j = -a + 7. Calculate the highest common divisor of j and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*i = -1 - 27, -5*i = 2*b. Suppose -21 = -4*d + b*y, y + 0*y = 3. What is the remainder when 33 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 44*m**2 + 405*m + 60. Let n be c(-31). Let z be (-39)\/(-33) + -1*1. Sort n, z, -0.3, -5 in ascending order.\nAnswer: -5, n, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99683 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217\/1278 - -2\/639. Sort u, -7, -3.\nAnswer: -7, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119.48 + 2.52. Let l = x - 121.9897. Round l to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 659337037 and 1994.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8610390.\nAnswer: 2, 3, 5, 29, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 64 (b) -0.2 (c) 216350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190634, 190635, 190636, 190637, 190638?\nAnswer: 190639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4*c - 16, -2*c + 10 = -4*y + 18. Let j(o) be the third derivative of 0*o**3 + 0 + 0*o + y*o**4 + o**2 - 1\/12*o**5. Factor j(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) + 6\/4. Let o be (-10)\/(-85) + (53\/(-17) - -2). Sort x, -2, o.\nAnswer: -2, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2599, 2615, 2623, 2623, 2615, 2599?\nAnswer: 2575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32785871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103547698\/375 + 276127. Calculate the common denominator of 25 and i.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**3 + 3*p**2 - 121*p + 51. Determine z(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 + -45. Let t = -40 + x. Suppose 0 = -p - 0*p - 5*f + 21, -3*f = -2*p + t. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 57*m**2 + 19*m + 2. Let k(v) = -27*v**2 - 10*v - 1. What is -6*f(g) - 13*k(g)?\nAnswer: 9*g**2 + 16*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*m - 141*m - 203*m - 7*m**3 + 16*m**3.\nAnswer: 9*m**3 + 28*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 8*s**2 + 224*s - 8. Let r(q) = -2*q**3 + 6*q**2 - 226*q + 6. Determine 4*r(o) + 3*z(o).\nAnswer: -2*o**3 - 232*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -390628641*o**6 - 58*o**2 + 6595756?\nAnswer: -46875436920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.59663 times -55?\nAnswer: -1462.81465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28*(-18)\/1512)\/(11\/(-3))*-36.\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1327.676 + 1327. Round h to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756649 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122 and 488.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4470982381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*v - 5*v. Let y(a) = 5*a + 7. Let b be y(6). Let f = b + v. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 173 + 16*f - 359 + 180 + (0 - 1 + 2)*(3*f + 0*f - 4*f) + 0*f + f + 3*f as q*f + j and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + g = -4, -2*g - 2*g - 4 = 0. Suppose 3*v + 36 = -4*w, 28*v = 30*v + 4*w + 32. Put x, v, 5 in ascending order.\nAnswer: v, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = i + k, -3*i - 2*i + 7 = -4*k. Calculate the greatest common divisor of i and 8934.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/(6\/63). Let x = -9 - g. Let t = -0.112 + 0.112. Which is the nearest to 1? (a) t (b) 2\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7006 + 7085. What is the remainder when 464 is divided by o?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(28)*2)\/sqrt(4) - (sqrt(7)*1*1)**2) + (1 + sqrt(343) + -5)**2)*5.\nAnswer: -270*sqrt(7) + 1735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -35*z**3 - 11*z + 11. Let q(h) = 7*h**3 + 2*h - 2. Suppose 2*x + 45 = 11*x. Let j be 1 - -5 - (x + -10). What is j*q(m) + 2*s(m)?\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/(h**(-1\/10)\/h))\/(h**2*(h**(-5)*h)\/h) assuming h is positive.\nAnswer: h**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1797726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12199752 a multiple of 2438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*x + t = 585*x - t + 64, -x - 3*t = 20 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**4\/6 - 2*m**2 - 21. Suppose -a + 2*a - 2*v = 2, 3*a + 2*v = 22. Let r(x) = -2*x. Give a*g(z) + 10*r(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/20 + 5*n**4\/12 - n. Let j = 1476 + -1480. What is o(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*w, 4*w = -4*l + 3*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**2\/2 + 846. Let m(d) = 11*d**2 + 14*d. Calculate x(m(i)).\nAnswer: 11*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2118 + 2150 - (21 + -4 + -3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 - -5. Let g = 4282\/7469 - 2\/1067. Which is the nearest to -1? (a) -0.2 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*m**2 + 0 + 170*m = 0 for m.\nAnswer: 0, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 352 - 409.4. Round s to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.4 and 2315394061087?\nAnswer: 2315394061089.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39159721 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -18*x**5\/17 + 2858*x**4\/17 + 27366*x**3\/17 + 87102*x**2\/17 + 99684*x\/17 + 18144\/17 = 0.\nAnswer: -3, -2\/9, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {j: 1, l: 14}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from vnvvn?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = -0*p. Let x be p*4*(-3 + 4). Let g be (9\/x)\/((-3)\/(-8)). Solve 0 = f + 4*v, -3*f = -g*f + 5*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/42 and -27\/22.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3101*g - 9077. Determine y(3).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**5 - 44*x**2 + 17*x**2 - 25*x**5 wrt x.\nAnswer: -1680*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10786 and 26?\nAnswer: 140218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*v - 130 + 82 = 0, -822*v = 4*i + 12009 + 3617 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -3*s**4\/4 - 2*s**3\/3 + 4*s + 117. Let i(a) = -4*a**3 - 3*a**2 + 4. Determine -2*i(y) + 3*j(y).\nAnswer: -y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16948, -137415, -464952, -1103095, -2155380, -3725343?\nAnswer: -5916520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v - v. Suppose -8 = -v*t, 2*t + 127 + 29 = 2*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6045.89m?\nAnswer: 6.04589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 6*x - 3. Let a be (-1)\/6 - 19\/(-6). Let z(f) = f - 3. Let m be z(a). Suppose u = 4, -4 = 5*k + 4*u - m*u. What is y(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 580 and 124029665.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/21 - 148580*a\/7 + 2228650\/21 = 0. Calculate a.\nAnswer: 5, 222865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*q - 99184 - 103527. List the prime factors of q.\nAnswer: 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 49439?\nAnswer: 197756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**2 + 5. Let a = 7 - 5. Let p(y) = -3*y**2 + 0*y**a + 5*y**2. Give p(k(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {v: 3, b: 6, f: 1, d: 6, q: 3, h: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4521367 divided by -4521367.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012 (base 3) in base 8?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 48 + 24. Find the first derivative of -34 - q*v**4 + 3554*v**3 - 3554*v**3 wrt v.\nAnswer: -144*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -15, -1\/6, -4, 3\/5, 4\/3 in ascending order.\nAnswer: -15, -4, -2, -1\/6, 3\/5, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, -3, 4.\nAnswer: -5, -3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*y - 46 + 148, -152 = -4*t - 4*y. Let w = t + -33. Suppose -5*l + 4*l + 2*z = -100, -w*l + 4*z = -302. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -106. Calculate the remainder when 223 is divided by c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 5 - 1)\/(2\/(-26)). What is the derivative of -l*w**3 - 1 - 6*w**3 + 5 + 8 wrt w?\nAnswer: -57*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1824?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 67*i - 769. What is n(-54)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 891230227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1094709699 and -6807.\nAnswer: -1094716506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -3\/20*l**5 + 3*l**3 + 21\/4*l**2 + 15\/4*l + 3\/8*l**4 + 21. Factor k(v).\nAnswer: -3*(v - 5)*(v + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 3, -4\/209?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -15*o - 15. Let q be w(-11). Suppose -3*f - 3*k + q = 0, 101 = 2*f - 0*f + 3*k. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 428126.6ml?\nAnswer: 428.1266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -8*n**2 + 11. Let m(f) = 23366 + 3*f + 23376 - 46742. Give m(v(o)).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.050129131.\nAnswer: -0.150387393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 10:35 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562140.\nAnswer: 2, 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 27. Calculate c(14).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8481, 33987, 76513, 136065, 212649, 306271, 416937?\n\"Answer: r**3 + 8504*r**2 - 13*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + 2*f + 117, -2*g - 3*f + 43 = 0. Let s = -14 + g. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.24 + -13. Let n = t - 0.24. Which is the smallest value? (a) n (b) -1\/10 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 849\/5 - 170. Which is the fourth biggest value? (a) 0.2 (b) 5 (c) x (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p + 111. Let s be (8 - 38)*6\/(-15). Calculate the remainder when 7 is divided by a(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5 + (7 - 5 - 6) + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46, -344, -1164, -2776, -5450, -9456?\n\"Answer: -45*t**3 + 9*t**2 - 10*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6947 - -8532. Calculate the remainder when n is divided by 264.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 747316772 to the nearest integer?\nAnswer: 27337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5280094986?\nAnswer: 2, 3, 293, 829, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 6. Let f(k) be the second derivative of k**4\/3 + 36*k - 4. What is d(f(l))?\nAnswer: 4*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 250938924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = 5*m. Let h(y) = -2*y**3 - 2*y**2 + y. Let x be h(1). Sort -2, x, m in decreasing order.\nAnswer: -2, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5127083*s**3 - 2*s**2 - 12748*s + 30 wrt s?\nAnswer: -30762498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.79 - 0.78953. What is a rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -28. Let m be 5\/(-15) - 200\/(-15). Let d = m + o. Let k(z) = -2*z. Determine k(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2842*c - 2842*c + 266*c**2)*(1 - 3 + 0) in the form h*c**2 + n + i*c and give h.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 43*v = 27. Sort v, -8, 5 in increasing order.\nAnswer: -8, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 5*g**9\/3024 + g**8\/168 - g**6\/36 - g**5\/24 + 13*g**3\/3 + 7*g. Let a(m) be the second derivative of l(m). Factor a(n).\nAnswer: 5*n*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 717107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i - 1. Let m be (-3)\/(((-3)\/214)\/i). Suppose -122 - m = -3*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58836?\nAnswer: 2, 3, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 11364 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 2, a: 1}. Give prob of picking 1 h and 2 p.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44330842 a multiple of 2611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**3\/4 + j**2\/2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 22. Let l be d(0). What is the highest common factor of l and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-8))\/((-5)\/(-260)). Let k = 55 + v. What is the lowest common multiple of 4\/6 - (-46)\/3 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 + 28*p**4 - 20*p**3 - 124*p**2 + 120*p = 0. Calculate p.\nAnswer: -2, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-5 + 11 - 23)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 73, 1.7 in descending order.\nAnswer: 73, 1.7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 5*p**2 + 4*p + 2. Let y be u(-4). Let s(c) = 2*c**y - 5*c + 8*c**3 - 17*c**3 - 4 + 10*c**3. What is s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 smaller than 1123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1))**(-44))**(-16))**(10\/21) assuming a is positive.\nAnswer: a**(-7040\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + 19*w**2 + 31*w + 77. Determine t(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000075019 to 6 dps.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -41*t - 13. Let n be l(-3). Let c = n + -92. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -252, -1, -415, 22 in descending order.\nAnswer: 22, -1, -252, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -67.6. Which is smaller: s or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 780 and 160736?\nAnswer: 31343520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 - 42*h - 34. Let j(x) = x**2 - 13*x - 11. Give -16*j(t) + 5*o(t).\nAnswer: 4*t**2 - 2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 13*u + 223 + 129 - 104. Let l be v(-19). Solve -4*c = -h + 2, -c + l + 6 = -4*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/(-533)*1\/(-2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006969 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**6\/50 + 2*x**5\/25 - x**4\/20 - x**3\/15 - 2*x. Factor l(v).\nAnswer: -v*(v - 2)*(v - 1)*(3*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0) + (-2 - -1). Let q = -33\/68 + 4\/17. Sort 4, q, b in increasing order.\nAnswer: b, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z - 12. Let x be m(4). Let a = x + 108. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 7:17 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/21 + 60*j**3\/7 + 2182*j**2\/21 + 1368*j\/7 - 6464\/21 = 0. Calculate j.\nAnswer: -8, -4, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (106\/(-8))\/((-77)\/(-126)). Let z = -82\/33 + v. Find the common denominator of z and 79\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115753 (base 13) in base 8?\nAnswer: -1444672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*j - 2*c, -3*j + 0*j + 2*c - 5 = 0. Put j, 4, -1 in increasing order.\nAnswer: j, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 5 (c) -5 (d) 1\/4 (e) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -4. Let p = 32 + d. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 35. Solve -5 - 10 = s*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (11 + -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/6)\/t)\/t)\/((t*t**(-6))\/t*t))**(-28\/5)*(t**4\/(((t\/((t\/((t**2\/t)\/t)*t)\/t))\/t*t)\/t*t))**(-47) assuming t is positive.\nAnswer: t**(-3058\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*x, -7*w + w + w = x. Solve 0 = 3*r - 4*i + 23, -7 = -3*r - 2*i - w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -2) + (598 - 582).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -9. Let h be (-3 - -7 - -15) + -2. Suppose h*k - 21*k + 120 = 0. What is the greatest common divisor of d and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948480046 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -79676 divided by -2\nAnswer: 39838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 50*w**3\/3 + 4*w**2 + w - 313. Find the second derivative of u(a) wrt a.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*l - 6 = p, 0 = -3*l - 6. Let g(y) = y + 16. Let v be g(-13). Solve -p - 1 = x - v*b, -2*x = -2*b + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.82 and 232?\nAnswer: 235.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923614?\nAnswer: 2, 31, 14897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13869)\/(-7) + 6\/(-21). Let v = 2852 - p. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 894472805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3970405*h + 1 - 1809568*h - 1.\nAnswer: -5779973*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 39*q + 36480 = 0. Is q a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8730)\/(-3880))\/(9\/8))\/(10\/(-455)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -857182?\nAnswer: -857187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94 and 12?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-6)*s)\/(s\/(s\/s**6)))**38\/((s\/(s\/(s\/s**(1\/5))))\/s**(-6)*(s*s**(2\/3))**(-1\/2)) assuming s is positive.\nAnswer: s**(-11579\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 + 140.4. Which is smaller: 0.6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 175, 662, 1463, 2572, 3983?\n\"Answer: -t**3 + 163*t**2 + 5*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -67, -61, -287?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-15186.1.\nAnswer: -15186.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 4 - 524*q + 260*q + 15 - 5 + 266*q.\nAnswer: 2*q - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 247 (base 15) to base 13\nAnswer: 30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1015)\/28)\/(-5) - (-7)\/(-21)*18. Put n, -217, -1, -5, -0.3 in descending order.\nAnswer: n, -0.3, -1, -5, -217","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -574*h + 577*h - 41, -h - 5*i = 5 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62972405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004220866 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -209, 37, 95, -5, -2 in decreasing order.\nAnswer: 95, 37, 5, -2, -5, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/4 - 10*v**3\/3 + 7*v**2\/2 - 25*v + 40. What is the units digit of h(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-3)*(-360)\/960\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, o: 2, t: 1, a: 2, n: 1, y: 7}. Give prob of sequence tnoc.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11865 - 5631. Let n = 16789 - t. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:49 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -287, -605, -1039, -1589?\n\"Answer: -58*w**2 - 28*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1175967 (b) 3.6 (c) -1\/3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 5 + 2 - (-2 + 4). Factor -11\/5*q + q**m + 3\/5 + 3\/5*q**3.\nAnswer: (q - 1)*(q + 3)*(3*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 3*q. Solve -3*l + 23 = 4*g, 0 = -q*g + g + 3*l - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*16\/(-40) - 1394\/(-340)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2) - (-25692)\/56. Let f = 460 - i. Are 1 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -16*h + 18. Let m(v) be the first derivative of -1 + 0*v**h + 4\/3*v**3 + 0*v. Let c(s) = 2*s**2. What is c(m(z))?\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 98. Is s greater than 24\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 68388804.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001001001100 (base 2) in base 8?\nAnswer: -61114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25485279*10.\nAnswer: -2.5485279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:52 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/12*(-21)\/(-1225)*-15.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/3 - 2\/3. What is the closest to 2 in -2, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121311055 + 1014?\nAnswer: -121310041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119*t + 20*t**3 - 67*t**3 - 4*t + 63*t wrt t?\nAnswer: -282*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86572 - 9937*t + 86572 + 1509*t to the form d*t + z and give d.\nAnswer: -8428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 646*t + 82681. Calculate z(-128).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 17*o**2 + 827*o - 27578. What is g(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-261390)\/(-30) - (-9 + 29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4669 - 16369. Round v to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 32*w**2 + 2*w - 3. Does 43 divide c(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 17*u - 18*u + 513, 3919 = 8*u + 3*a. What is the greatest common factor of u and 17812?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153693 + 234326\nAnswer: 80633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 6, d: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101122 (base 3) to base 2.\nAnswer: -100110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) 2\/183 (c) -2\/11 (d) 5 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8.1. Let x = h - 3.1. Which is the second smallest value? (a) 2 (b) -6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 639824?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337708*-2.\nAnswer: 675416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(396)*-2)**2.\nAnswer: 96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 + 6. Let s(t) = -44*t**2. Give q(s(b)).\nAnswer: -7744*b**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1330\/11 + -121. Let j = 5 - 4.5. Let n = j + -0.4. What is the nearest to n in 1, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-1 - -12)*32\/(-176)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 112 = -17*d + 10*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6732.4 - -6732. Which is the nearest to -2\/3? (a) i (b) -260 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 9851, 2\/15, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/26? (a) -0.133 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 l, and 1 i when four letters picked without replacement from wwiwwrrwliw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/2)\/(6\/(-108)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*s**2 + 1223 - 1223)*(-3*s**2 + 3*s**2 - s**2) - s**4 + 4*s**2 - 4*s**2 as h*s**3 + n*s**4 + p*s + w + i*s**2 and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6322147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -4 - (83 + -98)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**2 + 55*t + 94. Let w(o) = o**2 - 11*o - 19. Let c(z) = -2*r(z) - 11*w(z). What are the prime factors of c(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*s - 1 + 28 = 0, -s + 9 = 2*a. Suppose -23 = u - z + a*z, 4*u = 2*z + 18. Differentiate -2*p + 0 - 3 + u wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**3 - 2*f**2 + 6*f - 4. Suppose 0*o - 4*o - 5*s - 21 = 0, 3*o + 5*s = -17. Let i(z) = -11*z**3 - 4*z**2 + 13*z - 9. Determine o*i(v) + 9*t(v).\nAnswer: -v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/302, -52, 0.3?\nAnswer: -1\/302","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -9*h - 3914. Let w = -201 - h. Solve w*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155718.7285 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 4*a - 156. Let r be 2752\/6 - 13\/a. Let t = r - 4135\/9. What is the closest to 0.3 in -0.5, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -84 and 59.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*u**2 - 12*u**2 + u**2 + 38*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 0.0032.\nAnswer: 0.1968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m = -10*m - 13603 + 50862. Solve 0 = -5*y + m - 962 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -912 + -2505?\nAnswer: -3217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/17))**28 assuming k is positive.\nAnswer: k**(-56\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -233*d**3*g + 1664*d**3 + 390336*d**2*g wrt d?\nAnswer: -1398*g + 9984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 3. Let i(u) = -35*u - 55. Suppose 9*h - 12742 + 13732 = 0. Give h*k(y) - 6*i(y).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s - 7 + 7)*(12 - 21 - 28).\nAnswer: 407*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 120 = -10*x. Solve -16 = 3*n - x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 22 = 2*c, -3*g - g + c - 27 = 0. Let j be (11\/(-4))\/(g\/32) - -4. What is the highest common factor of j and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184.958 - 185. Which is the second biggest value? (a) s (b) 4 (c) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**6\/1020 + 31*f**5\/510 + f**4\/204 - 31*f**3\/51 - 324*f**2 + 3. Factor l(v).\nAnswer: -2*(v - 31)*(v - 1)*(v + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weec when four letters picked without replacement from {w: 1, e: 4, c: 2, g: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27909, 27851, 27757, 27627, 27461, 27259?\nAnswer: 27021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 s, and 1 y when three letters picked without replacement from {y: 5, s: 1, z: 3, f: 1, h: 3, n: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106715 is divided by 551816.\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 3. Suppose b*w - 3 - 2 = 0. Suppose -12*p = -22*p + 17*p. Solve s - w - 3 = p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - q = 20, 8*i = 4*i - 2*q + 20. Solve -i*g - 6*g = 44 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 80568060.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/22442 and -77\/150748?\nAnswer: 1691543308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 1 + 1. Let s(j) be the first derivative of -j**5\/60 - 59*j**3\/3 + 22. Let v(k) be the third derivative of s(k). Determine r(v(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/19 - 21\/38. Suppose -3*w + 4*w = -3*d - 17, -4*d - 41 = 5*w. Let h = -7 - w. Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.746 to two dps.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.1999949 - 7.2. What is g rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-467)\/(33157\/1704).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 727866 to the power of 1\/2, to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -412354\nAnswer: 206177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*c - 6 = 4*f + 185*c, 6 = 3*f + 2*c. Solve f = j - 2*r + 11, 4*j + 64*r - 69*r = -35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -14054018.601543.\nAnswer: -14054010.601543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 538 by 538.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 4 + -3)\/(-2). Which is bigger: p or 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -15*x**3 - 6*x**2 + 103*x. Let j(p) = p + 3. Let s(m) = 4*j(m) + n(m). Let t(g) = -3*g**2. What is s(t(o))?\nAnswer: 258*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*p + 210*p - 21 = 2*k, 69 = 5*k - 14*p + 96 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110222 + -10?\nAnswer: -10111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*u**6*v - 18*u**6 - 57*u**2 + 9*v wrt u?\nAnswer: -3240*u**3*v - 2160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 2)\/(-1)*16\/16. Suppose g = 5*s + 10*s - 60. Solve 0 = 3*q - 4*r, -s*q = -5*q + 2*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -30. Suppose 12*v - 77 = 5*v. Suppose 5*n = -g + v, -5 = -3*g - 2. What is the least common multiple of m and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spx when three letters picked without replacement from {s: 1, p: 2, x: 1, h: 4, c: 10}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10270344 and 504?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 11. Let b(n) = -4*n - 20. Let x(f) = 3*b(f) - 5*d(f). What is x(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*x + 12 + 46*x - 12.\nAnswer: 194*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540 by -270.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61.599603 + 61.6. Round q to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -3*x**2 + 7\/3*x**3 - 1 + 8*x - 1\/4*x**4. Does 4 divide d(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 5. Suppose w*g - 14 = 34. Calculate the highest common divisor of 30 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 13*x = 2*j + 28, 5*j = x - 16. Put 1, x, 7, 10 in ascending order.\nAnswer: x, 1, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*z - 18 = 2, -n - 15 = 3*z. Let x(p) = -9*p**2 + 0*p + n*p + 11*p**2. Let u(q) = -1 + 1 - 2*q**2. Calculate u(x(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 15*p + 1\/3*p**3 - 11\/2*p**2 - 14. Let i be h(10). Solve -3*d + i*x = 19, 10 = 2*x + 3*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26473 - -338.49?\nAnswer: -26134.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -400782, -1603186, -3607192, -6412800?\n\"Answer: -400801*p**2 - p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -3\/4 (b) 1 (c) 0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 - r + 6. Let o(t) = 5*t**2 + t - 7. Let h(b) = 6*f(b) + 5*o(b). Let l(z) = -z**3 - 4*z**2 + 7*z - 4. Determine 4*h(x) + l(x).\nAnswer: -x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -15 (b) 93 (c) -9 (d) 0.4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 60*p = -65*p + 40, 2*v = -v - p + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 18 - 10*b**2 - 9*b - 4*b**2 + 15*b**2. Let n be o(6). Solve n = i - 0 - 1, 3*f - 2*i = -8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88894 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37982706747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 73.18. Round d to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 96 + 61 = -161*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 3*v**2 - 4*v - 7. Let n be x(-3). Which is the closest to -2\/9? (a) 4 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1457786, -1457799, -1457812, -1457825?\n\"Answer: -13*r - 1457773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1025 (base 6) to base 2.\nAnswer: -11101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 17. What is the closest to -0.2 in 0.2, -6, o, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**4\/12 + 7*w**3\/6 - w**2 + 113*w + 77. Let a(p) be the first derivative of k(p). Let g = -9 - -3. Give a(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -4) + -4 + (6 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 2*c - 1008. Suppose 0 = 4*o - 0*o - c. Suppose -b = -2*b + 9. What is the highest common divisor of o and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*m - 4*q - 26 = 0, 0 = -5*m - 3*q + 15. Solve -8*k = -m*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 583508, 584482, 585456, 586430, 587404?\n\"Answer: 974*o + 582534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = 5*m. Let y be (2\/(-9))\/(2\/m). Let x = 5 - 3. Which is the second smallest value? (a) y (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.010331 rounded to 1 decimal place?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 8. Let a = -5 - 1. Give w(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 1, l: 2, p: 1, v: 1, s: 1}. What is prob of picking 1 i, 1 l, 1 p, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/(-5) + (28 - (-3 - -12)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0888 and -0.05.\nAnswer: 0.00444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 529456 - 284427. Let t = 173429 - x. Round t to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*j)*(750 + 2 - 135 + 520).\nAnswer: 3411*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/47288 and 39\/22448?\nAnswer: 5769136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 3*l**2 + 2*l**2 + (-1 + 2*l + 1)*(-l + l + 2*l) + (15 + 31 + 79 + (-1 + 2 - 2)*(-3 + 0 + 5))*(l**2 - 5*l**2 + 9*l**2).\nAnswer: 621*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oso when three letters picked without replacement from {p: 5, o: 4, s: 1, a: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - -125.1.\nAnswer: 125.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwv when three letters picked without replacement from {w: 1, v: 1, t: 1, r: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -498*s**3 + 10598*s**2 - 1 wrt s?\nAnswer: -2988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((76\/(-120))\/(225\/(-2625)) + 2\/18)*2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = -6. Let c = -8 + 18. What is the remainder when n is divided by c\/(-4)*78\/(-65)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*b + 17269145 = 24942797 + 36431948. Round b to the nearest one thousand.\nAnswer: -501000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*w - 15539711 = 25537525. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -24*j + 21*j. Let x be j - 0 - (-5)\/(20\/(-12)). Put 5, x, 6 in ascending order.\nAnswer: x, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*i = 21*i + 42581. Calculate the remainder when i is divided by 109.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010*g - 97875 - 3468 = -7413 for g.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-18\/5)*p*p*p*p**(-2\/21)*p assuming p is positive.\nAnswer: p**(137\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-2) + 39\/1. Suppose -4*i + c = 2*m, 4*m + 45 = 5*i - m. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 13, 25, 41, 61, 85?\n\"Answer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/7)\/i)\/i)\/(i*i\/(i**(-1\/12)*i)))\/(i\/(i*i*((i**(2\/5)*i*i)\/i)\/i)*i)**(-47) assuming i is positive.\nAnswer: i**(-9071\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 2:40 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -61821387, -123642772, -185464157, -247285542, -309106927?\n\"Answer: -61821385*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.7 - -7. Let l = d - -0.2. Let t be (-6)\/(-4) - 1\/(-1). Sort 0.4, t, l in descending order.\nAnswer: t, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-2*u**2 + 3*u**2 + u**2) + 3*u**2 + 4*u**2 + 0*u**2 in the form x*u + m*u**2 + b and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(2\/8 - 0). Let a = -12 - -7. Let r = -3 + 6. Sort h, a, r in descending order.\nAnswer: r, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12497 + 10872389\/870. Calculate the common denominator of -31\/4785 and b.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*f**2 - 664\/5*f + 448\/5.\nAnswer: -4*(f + 56)*(3*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*w = -113*w - 123*w - 882 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n - 12. Let c(z) = 153*z - 170. Determine 6*c(u) - 85*h(u).\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 + 7*k**5 + 6*k**5 + (3 + k**3 - 3)*(3*k**2 + 2*k**2 - 4*k**2) + 11*k**3 - 11*k**3 + 27*k**5.\nAnswer: 37*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 1. Let l = 13 + -12. Let q be z(l). Let i = -2 - -7. Which is the second biggest value? (a) -2 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035573974 to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1467, 5717, 12775, 22647, 35339, 50857, 69207, 90395?\n\"Answer: j**3 + 1398*j**2 + 49*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 5. Let f(l) = -19*l - 30. Let r be f(-2). Suppose -r*j + 45 = -11*j. Let z(b) = -2. What is j*z(g) - 6*h(g)?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 less than -8763?\nAnswer: -8882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*1 + sqrt(117) + 4.\nAnswer: 4 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*r + 22, -2*q = -7*q + r + 6. Suppose 0*c = -q*c + 4. Let w(b) = -1 + 2 - b**c + 3. Give w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 84, 77, 68, 57, 44, 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a0 (base 11) to base 5.\nAnswer: -42042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -2 (c) 2\/21 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2, -2\/37, 0.2?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 8 - -6 - -4 - 59?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57450 - -57453. Find h, given that 12\/7 + 6\/7*h**2 + r*h - 3\/7*h**3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -75364?\nAnswer: 75367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*u + 1543*u = -671*u + 44620 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 712, 1351, 1824, 2047, 1936, 1407?\n\"Answer: -14*k**3 + k**2 + 734*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.601 + -0.601. What is the closest to m in 0.2, -2, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -23*b - 8. Let m(a) = 0 - 3 - 1 + 1 - 8*a. Let g(v) = -4*k(v) + 11*m(v). Does 23 divide g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w - 2. Let i(z) = 28*z + 6. Give -7*d(o) - 2*i(o).\nAnswer: 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(14))\/sqrt(7) + 4 + 5 - ((-5 + -1 + sqrt(2))**2 - (sqrt(1152))**2).\nAnswer: 13*sqrt(2) + 1123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 3:22 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55.75 - 22.5. Let u = 28.3 - x. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p*p**(8\/3))\/p))\/((((p\/(p*p\/(p*p*p**(-3\/4)*p)*p))\/p*p)\/p*p)\/p*p))**(-38)*((p\/p**(1\/3))\/p)**(-6\/13)*p**(-1)\/p**(1\/6) assuming p is positive.\nAnswer: p**(1319\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*m**5 + 177*m**4 - 45*m**3 = 0. Calculate m.\nAnswer: -15, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-19034)\/1842)\/(31\/(-129))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -29*k + 24*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -388?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -46 (b) 3\/13 (c) 5 (d) 16\/5 (e) -1 (f) -0.5 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.013? (a) 12 (b) 56 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/6 - (-6)\/(-9))\/((-44)\/198).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 10*j**2 - 7*j + 11. Let g be k(9). Suppose 27*c - g*c = -164. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 17. Let f be -1*1 - z\/3. Suppose 8 = f*y - 3*y. Solve 11 = -2*i - i + g, y*i - 3*g + 18 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 398 = -402 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**3\/3 + 2*g**2 - g - 219. Suppose 0 = -5*s - 2*o + 14, 3*s - 6 = 2*s - 2*o. What is r(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.62 + -1.42. Let f = 23 + -4. Let i = f - 18. Which is the closest to l? (a) i (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 750 + -316?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26\/29 + 263\/261. Suppose -2*r - 6 = 2. Which is the fourth smallest value? (a) l (b) r (c) -3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227514 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-11)\/(-11))\/((-28)\/(-5))*(-10)\/(-25))\/1.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) -2\/177 (c) -13\/3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 143 + 133 = 0. List the prime factors of i.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946 is divided by 836.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1877 - 1724 = 87*m + 1283 - 1317 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688199387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 17*q - 102. Let h(j) be the first derivative of 1\/4*j**4 + 1\/2*j**2 - 4\/3*j**3 + 5 + q*j. Calculate h(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (4\/2 - 4). Suppose -n = -z*x - 3 - 13, -4*x = n - 28. Suppose 0*a + 5*a - n = 0. Calculate the least common multiple of 22 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millimeter in micrometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**3\/3 - 84*q**2 - 7056*q - 177. Determine f so that a(f) = 0.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 23, 11, -35, -127?\n\"Answer: -2*t**3 + t**2 + 21*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -90.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x - 11. Let w(q) = -21*q + 58. Let z(p) = 11*v(p) + 2*w(p). Calculate z(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1737 and -121\/18312.\nAnswer: 10602648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 10:50 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 370721 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 479*w - 466*w - 41 - 50 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**7\/14 - 3*t**6\/5 + 33*t**5\/20 - t**4\/2 - 6*t**3 + 12*t**2 - 530*t. Factor j(p).\nAnswer: 3*(p - 2)**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71491000 rounded to the nearest one million?\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479, -474, -455, -416, -351?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2271, 2046, 1821?\n\"Answer: -225*t + 2496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2675, 2655, 2623, 2579, 2523, 2455, 2375?\n\"Answer: -6*i**2 - 2*i + 2683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/3 - 340*y**2 + 234257*y\/3 - 3450246 = 0.\nAnswer: 58, 251, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 32 = -r. Suppose 0*b - 2*b = 3*j + 8, -j - 4*b = r. Suppose j*n + 3*n - 63 = 0. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 + 2*u**2 + u + 10. Let p(l) = l. What is n(j) - p(j)?\nAnswer: 2*j**3 + 2*j**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - ((-1 - -4) + -17). Solve -i + 3 - 25 = 4*x, -p = 5*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(1700)*-5)**2 + 1 + sqrt(1700) + 1.\nAnswer: 10*sqrt(17) + 170004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237 - -3795\/16. Which is smaller: -7 or f?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741780168?\nAnswer: 2, 3, 71, 435317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fefsae. Give prob of sequence efa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + (sqrt(363) + 1)**2)*5*4.\nAnswer: 440*sqrt(3) + 7203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**2 - 1527 - 33*c**4 - 5*c + 1527 wrt c?\nAnswer: -792*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.6456 and 0.02.\nAnswer: -0.112912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 14 = -2*v - 4*g, 5*g + 31 = 2*v. What is the second derivative of x - 2*x**3 + 3*x**3 - v*x**3 + 3*x**3 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 1:30 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*h - 7*h. Let g = 4 + -9. Sort -3, g, h.\nAnswer: g, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -26451?\nAnswer: -26451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8395, 33590, 75581, 134368, 209951, 302330?\n\"Answer: 8398*a**2 + a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 6. Let l = -7.5 - q. Let v = -1 + l. Round v to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a - 7. Let b(f) = -5*f - 4. Let s(q) = -7*b(q) + 4*i(q). Let t(x) = -9*x - 3*x**2 - 5*x + 14*x. Calculate t(s(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/7 - 8898*h**3\/7 - 9892346*h**2\/7 + 9919050*h\/7 + 19802500\/7 = 0 for h.\nAnswer: -2225, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(2 + -11))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 15. Let v = i + 54. Suppose 3*n = -n - 4*l + 68, -n + 1 = -v*l. Calculate the remainder when 51 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 26221304.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-549)\/32025 + 2\/(-14)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.016 - 1.984. Let r = -1 + 6. Sort r, c, 4 in ascending order.\nAnswer: c, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 9*k - 20. Let j be m(-6). Calculate the common denominator of 25\/44 and j\/(-4) - (-80)\/1408.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i + 49*i = -3. Sort -4, -28, i in ascending order.\nAnswer: -28, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3654)\/(-198) - 19) + 2044\/(-44). Which is the nearest to h? (a) -1\/6 (b) -0.5 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1100 and 10?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.60017 - -2.6. What is z rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 18 + 8. Factor -1 - 1\/2*u**w + 3\/2*u.\nAnswer: -(u - 2)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 42*r - 31. Is y(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5211 or 1047115\/201?\nAnswer: 5211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4221800?\nAnswer: 2, 5, 11, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2918 + -2912. Let n(g) = 5*g + 5. Let d be ((-18)\/8)\/((-2)\/8). Let w(a) = -11*a - 11. Let h(s) = d*n(s) + 4*w(s). Determine h(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*l*u**3*w**2 + 13*l*u**3*w + 4*u**3*w**2 - 59*u**2*w**2 + 2*w with respect to l.\nAnswer: 53*u**3*w**2 + 13*u**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*f**2 + 3*f - 2*f**3 - 2*f - 15*f**2 + 3*f**3 + 7*f**4 to the form i*f**4 + q + x*f**2 + h*f + s*f**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 569*x**5 - 3*x - 21?\nAnswer: 11380*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*j - 2*b, -5*j = -0*b + b + 22. Let m(r) = -9*r - 38. Let q be m(j). Let u(i) = 2*i - 3. Give u(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/53)\/(q*((q*((q\/q**(-1\/15))\/q)\/q)\/q)\/q*q*q) assuming q is positive.\nAnswer: q**(-818\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 - (-1 - 2) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146976.\nAnswer: 2, 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z = -98112 + 37328. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1324, -5144, -11450, -20218, -31424, -45044, -61054?\n\"Answer: 4*b**3 - 1267*b**2 - 47*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46020892 a multiple of 1483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 745664 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1621419*-1.73.\nAnswer: -2805054.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2327, -9288, -20879, -37088, -57903, -83312, -113303, -147864?\n\"Answer: 2*y**3 - 2327*y**2 + 6*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, y: 1, t: 2, r: 2}. Give prob of sequence jjrj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 702 - 2*g**3 - g**2 + 29*g**4 - 2130 + 707 + 723 to the form o*g + p + f*g**3 + k*g**2 + r*g**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -5023111.53.\nAnswer: -5023112.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214757 - -339238. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1044)\/(-29)*(-20)\/(-12). Which is smaller: b or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.221884 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*2\/96 - -1. Let k = -5\/16 - s. Which is the closest to -1? (a) k (b) 2\/17 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -30a?\nAnswer: 2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/22 - (-192)\/33. Let c = z - 1. Suppose -2 = 2*l + 2*q, 0 = c*l + q + 3 + 14. Let x(r) = -r**2 - 6*r - 3. What is x(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000463125 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1864, -66, 2, 5 in descending order.\nAnswer: 5, 2, -2, -66, -1864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -452.\nAnswer: -3\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**1))**(7\/9)\/(y**(2\/5))**(5\/8) assuming y is positive.\nAnswer: y**(19\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 5. Let g be n(-5). Suppose g = -3*k + 6*k - 39. Let u(b) = 3*b - 18. Let v be u(k). Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-49)*(-4)\/8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 4*o**3\/3 - 5*o**2\/2 + 2*o + 1. Let u(d) = -d + 1. Determine -n(j) - 5*u(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d + 17*d - 9 + 5*d + 7*d. Let w be x(11). Suppose 0 = i - g - 113, 3*i = -2*g + 69 + w. What is the highest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11112831 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/3 and -7\/613498?\nAnswer: 1840494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53439, 106889, 160347, 213813, 267287?\n\"Answer: 4*j**2 + 53438*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -968 + 1742. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.7 and 549.\nAnswer: 551.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*t + 12 = -s, 5*t = 5*s - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 12*d - 9. Let r be s(-10). Is r greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166320 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o + 6 - 8 + 11 wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101762421 to the power of 1\/2, to the nearest integer?\nAnswer: 10088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Suppose -5*w + 74 = -211. Suppose 19 = -2*x + w. Calculate the remainder when x is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2288020 and 134068?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001 - 101100101000001101011101?\nAnswer: -101100101000001110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*g + 158. Find the third derivative of 83*j**2 + 4*j**3 + 24*j**3 - g*j**2 wrt j.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2*(-6)\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1361.138591 to one decimal place.\nAnswer: -1361.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -88*p - 7. Let v(z) = 86*z + 6. Give -5*t(q) - 6*v(q).\nAnswer: -76*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5 - 17) + 4030\/575*2.\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**5 + 6*q + 1. Let a(r) = -2*r**4 + 11*r**3 + 35*r**2 + 12*r + 7. Let y(s) = -a(s) + 2*i(s). Find the third derivative of y(b) wrt b.\nAnswer: -120*b**2 + 48*b - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Suppose -4*z + z + 39 = 0. Solve -z = j - x*n, -2*j + 9 = j + 4*n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1724636027.\nAnswer: 491, 1319, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2465, 23, -3, 0.3, -0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/275100 and 23\/5250.\nAnswer: 1375500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 381, 239, -3, -351, -811, -1389, -2091?\n\"Answer: -g**3 - 44*g**2 - 3*g + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 - 1)*(6 - 3 - 4)*(-n - n + 0*n).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11423268?\nAnswer: 2, 3, 35257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -31270.9 to the nearest 100.\nAnswer: -31300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0.0478?\nAnswer: -0.0478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102.008 + 101. Let o = 0.008 + u. Let a = 0.04 - -1.96. Sort -2, a, o in ascending order.\nAnswer: -2, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/15 and 109\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 7:55 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/(2 - -1))\/1. Suppose 3*p + p - d = 0. Let c be 0 + 0 - (p - 5). Solve 10*t - 5*t = c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 500214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 15. Suppose -m + 2*y + 4 = 0, 0*y + 4*y = -5*m + d. Factor -m*a**4 + 0*a + 6\/7*a**5 - 2\/7*a**2 + 10\/7*a**3 + 0.\nAnswer: 2*a**2*(a - 1)**2*(3*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -17 + (-210)\/(-12) + 1\/(-3). Suppose 2*o = -o - 6. Let s be 9\/4 + (-4 - o). Which is the closest to s? (a) -2 (b) -2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 165976.2 and 287909489?\nAnswer: 287743512.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -11 - (-2 - (4 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1992747 and 6795?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 12. Suppose -x*y - 571 = 454. Let m = y - -389. Calculate the highest common factor of 23 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28090 is divided by 9315?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/9)\/(h\/h**(6\/11)*h))\/(h\/h**(2\/5)*h*h**(1\/2)))\/(h\/(h*h**7)*(h**4\/h)\/h*(h\/((h\/h**0)\/h))**(-2\/51)) assuming h is positive.\nAnswer: h**(28727\/16830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 9) + -170 + 178.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -4) + 0 + 17 - -43.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 3)*(11*y - 68*y + 3*y) in the form s*y + k and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 501477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15142 - 0.05142. Which is the closest to v? (a) 3 (b) -0.1 (c) -0.5 (d) 0.0978\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001029 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -38b (base 14) to base 2\nAnswer: -1011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 228. Let r be 297\/(-12)*(-320)\/60. Calculate the remainder when i is divided by (44\/r)\/(3\/99).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 32 = -m, -5*b + 0*b + 100 = 5*m. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 253\/7. Let j = -68 + 65. What is the smallest value in i, -2\/19, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**6\/180 + p**5\/15 + p**4\/3 + p**3\/3 - 2*p. Let a(l) be the second derivative of c(l). Suppose a(q) = 0. Calculate q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*z - 33*z - 13455 = 0. What is the remainder when z is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 7*m**2 - 6*m + 10. Suppose -4*y + 42 = 5*r - 10*r, -3*r = 4*y - 26. Let v = 107 + -5. What is the remainder when v is divided by d(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1061, -0.1, -6\/25, 0.1?\nAnswer: 0.1061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 = 6*h. Let v(l) = 9*l**2 - 4 - 8*l**2 - h + 1. Let c be v(5). Solve 0 = -3*p - p - c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195570.9 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -48, 0, 1\/12, 4, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*j - 2, 3*u = j + j + 19. Suppose 3*v + u*v = 12. Solve -v*m + 0*m - 2 = -4*b, 0 = -5*m + 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 7, 5, -5, 15, 3 in descending order.\nAnswer: 15, 7, 5, 3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61937035111.35100015 + -61937033760. Let t = 1351.431 - k. Let g = t - 0.08. What is g rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 1. Let p be b(5). Suppose -p + 0 = -3*f. Calculate the highest common factor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2876211243 to the power of 1\/2, to the nearest integer?\nAnswer: 53630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9299, 9431, 9563, 9695, 9827, 9959?\nAnswer: 10091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, 5, -12\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16650663097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t**5 - 57*t**3 - 416*t.\nAnswer: -100*t**3 - 342*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 12*w + 15*w - 240651, 5*b - 2*w - 401106 = 0. Round b to the nearest one thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = 196 - 25. Let c be (2 + (-34)\/14)\/(l\/133). Suppose -8*h + 275 = -c*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161 - 160.921. Let g = 4.03 + -4. Let n = g - l. What is n rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {t: 5, y: 2, m: 5, n: 1, e: 3}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 5. Let b(h) = 2*h - 9. Let p(y) = -y + 3. Let g(a) = -3*b(a) - 8*p(a). Let x(w) = -5*g(w) - 3*n(w). Let z(f) = 11*f**2. Determine z(x(j)).\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 874.3 to the nearest ten.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -3.9067?\nAnswer: -0.117201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**5\/16 + 9*m**4\/16 - m**3 - 36*m**2. Solve k(r) = 0 for r.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25154 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 72\/54 - (-10)\/6. Solve 4 - 1 = j*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 + 3. Let g(u) = -u**2 + 1. Let d(o) = 3*g(o) - q(o). Let z(a) = -2*a**2 - 2 + 0 + 2. Give z(d(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 910 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545110398?\nAnswer: 2, 3, 7, 43, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11998 - 1636*g**2 + 11998.\nAnswer: -1636*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -135*-0.26\nAnswer: 35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q + 2. Let j be k(-2). Let m be 38\/8 - j\/16. Suppose -3*h - 11 = -m*l, 5 = h + 2. Solve -3*u - p = 5, 0 = -l*p + 3 + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -886, -1708, -2412, -2938, -3226, -3216, -2848?\nAnswer: -2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqkv when four letters picked without replacement from {q: 1, w: 1, m: 1, v: 2, k: 1, c: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/(w**(-2)*w))\/(w*w\/(w*w**8*w*w*w)*w*w*w\/w**(1\/11)*w) assuming w is positive.\nAnswer: w**(111\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 55254*b**3 - 2*b**2 + 49*b - 186. Let p be d(6). What is p rounded to the nearest one hundred thousand?\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4506253560.\nAnswer: 2, 3, 5, 19, 71, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017995377 rounded to seven decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:19 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (-2 + 3)) + (-548 - -555).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 569516.3 decades in months?\nAnswer: 68341956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 173, 156, 115, 38, -87, -272?\n\"Answer: -2*u**3 - 3*u + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 11*r**2 - 13*r - 14. Suppose x + 2 + 10 = 0. Let t be k(x). Is -94*14\/8*t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2) + (-360)\/(-4) + 2. Let l = 97 - f. Solve -2*i = l*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, t: 12}. What is prob of picking 3 t?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.86066 from -0.4.\nAnswer: -7.26066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 729\/70 - 7\/10. Let i = a + -87\/14. Solve -3\/2*l**3 - 2*l + 8*l**2 - 8*l**4 + i*l**5 + 0 = 0.\nAnswer: -1, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82059 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 5*q**2 - q + 4. Let p be z(5). Let h be (1\/3)\/(-1)*p. Which is the second smallest value? (a) -1 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -3*h - 140 + 156, -r = 4*h - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, t: 1, a: 2}. Give prob of sequence waww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 250598 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 + 2*g - 6. Suppose -2*u = -5 - 3. Let y(h) = -5*h**2 - 3*h + 7. What is u*b(t) + 3*y(t)?\nAnswer: t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -9 (c) 0.5 (d) 4 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0703? (a) 7 (b) -2\/7 (c) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 a when four letters picked without replacement from aallaaafkakaaaaaaf.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*n - 12*n - 2*w + w + 2, 4*n + w = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 163.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 199997561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/((-7)\/(-70)). Suppose 0 = s*n + 20 - 90. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1883 (b) -2\/37 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 13*t**2 - 15*t + 17. Let p be q(14). Solve 0 = 7*i - p*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(200) + 1 + sqrt(200))*-4 + 6*((sqrt(200) + sqrt(200) + -2)*-5 - sqrt(200))*1)**2.\nAnswer: -172800*sqrt(2) + 1629216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1477*g - 24202 + 51781 = 37*g - 26925 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 124 - 97 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*o - 328, -3*n - 142 = -2*o - 6*n. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -3083.97.\nAnswer: -3084.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p - 1. Let b be z(3). Suppose -2*a + 5*k + 14 = -b, -a - 3*k = -24. What is the highest common factor of a and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -944430 divided by 188886.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 562. Let z(t) = 27*t**2. Determine f(z(k)).\nAnswer: 54*k**2 - 562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*b = -0*s + 1, 0 = -3*b + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-5))\/((31\/(-3472)*24)\/(60\/294))?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, m: 12}. Give prob of picking 4 m.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22069.\nAnswer: 29, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4127*q**2 - 4239*q**2 + 14*q - 15*q.\nAnswer: -112*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*p**3 - 48*p**3 - 14*p**3 - 9*p**3 + p - p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*s**3 - 94*s**3 + 35*s**3 + 0*s + 2*s**3 + 0*s + (0*s**2 + s**2 + 0*s**2)*(0 + 0 + s) in the form h*s + z + o*s**3 + k*s**2 and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -32383659198389 and 0.\nAnswer: -32383659198389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 18*w**2 + 18*w + 4. Let g(b) = 2*b - 1. Let a be g(9). Let x be m(a). What is the first derivative of 69 - x*c**4 - 44 - 44 wrt c?\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 57*j - 41*j - 57*j**5 + 116*j wrt j.\nAnswer: -1140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d + 4*j - 4, -26 = -4*d + j. Let c(i) = -i**2 + 7*i - 6. Let s be c(d). Suppose -2*x - 2*x = s. Solve -2*y + x*n - 6 = -4*n, -4*y = -2*n + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + -2 + -3 + 269 + -267?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 - 132. Suppose 0 = j*a - 2470 - 596. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15548363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 86 = 4*i, 32 = 3*i + u - 36. Suppose i*z - 3458 = 15*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f - 30*f + 15*f.\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5\/3))**41 assuming b is positive.\nAnswer: b**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57\/32 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -232453 - -5?\nAnswer: -232447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6808?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1620)\/186*(-112406)\/7252.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000222010 (base 4) in base 5?\nAnswer: -31433321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93310, 186629, 279948, 373267, 466586?\n\"Answer: 93319*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12323 is divided by 145.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.3, 2\/211, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + g**2 - 3*g**2)*(3*g - g + 0*g) + 207*g**3 - 326*g**3 + 804*g**3.\nAnswer: 677*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 4745\/4 and 1185 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3254, 5414, 11272, 22676, 41474, 69514, 108644?\n\"Answer: 308*o**3 + o**2 + o + 2944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 1. Let m = -7 + k. What is the second smallest value in 3, 0, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*((v**(-1\/4)*v)\/v*v)\/v*v*v)**11)**(-7\/9))**50)**(-13\/4) assuming v is positive.\nAnswer: v**(275275\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 22 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21492221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 250560 and 612480?\nAnswer: 5512320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a micrometer in nanometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.56821 rounded to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let g(c) be the first derivative of -c**3\/3 - 1. Determine g(i(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 28797*p + 2*p**2 + 57366*p - 28700*p as r*p**2 + d*p + j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:56 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12b36 (base 12) to base 11.\nAnswer: -18441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, -8, -2, 10028?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 373, 1298, 3125, 6154, 10685, 17018?\nAnswer: 25453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -425*c - 45045. Calculate w(-106).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -55. What is the closest to 0.1 in 0.1, -5, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 8 + 2*q - 4*q**3 + 2*q + 4*q**2.\nAnswer: -4*(q - 2)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -0.1, 1\/2 in increasing order.\nAnswer: -0.1, 1\/2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/64*2\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 216440511 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 11*i - 2*t + 6 = 0, -2*t = -i + 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/60 + 13*d**4\/12 + 17*d**3\/2 - 7*d**2 + 5*d. Let m be j(-24). Put -2, 1, 4, m in decreasing order.\nAnswer: 4, m, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28592178 at least -28592178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5 - 2 - 86*z + 4 + 2 - 322*z. Let n(l) = -2*l. Give n(x(p)).\nAnswer: 816*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78384423*b**4 - 23129641 wrt b?\nAnswer: 313537692*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 14) + -8 + 27 - (0 - -58).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = z - 1 - 23, -16 = -4*z. Suppose -3*j - 130 = -8*j - 5*x, 2*x - 127 = -n*j. Are j and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 75. Let v = y - 50.0105. What is v rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/21)\/(x**7\/x*x)*x**4\/(x**(-9\/7)\/x))**(-2\/93))**49 assuming x is positive.\nAnswer: x**(238\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -3, -4\/3, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -17*l + 627. Let w be u(37). Which is the fourth biggest value? (a) -4 (b) w (c) -1\/3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 0 = 4*u + 1, 0 = -3*k + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 4*i + 19 + 33*i - 33 + 14.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ein when three letters picked without replacement from {i: 1, k: 1, e: 4, x: 3, t: 3, n: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15929590, -15929587, -15929584, -15929581, -15929578, -15929575?\n\"Answer: 3*g - 15929593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(2*v**3 - 4 + 4) + (-3*v + v - v)*(-v - v + v)*(-6*v + 7*v + 18*v) to the form m*v + k*v**3 + z + q*v**2 and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiioiioiiiio?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 0.419 in decreasing order.\nAnswer: 0.419, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -3, -0.37, -0.1 in descending order.\nAnswer: 2\/5, -0.1, -0.37, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*17\/(493\/(-638)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*b - 14*b - 2*b - 15 + 78 + 13*b to z*b + o and give o.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**6\/6 - 6*p**5\/5 + 22*p**3\/3 - p + 60. Find the third derivative of r(b) wrt b.\nAnswer: 60*b**2 - 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4 + 2. Let s(i) = i**3 + 3*i**2 + i + 1. Let v be s(j). Let t = 0 - v. Solve -15 = -3*d - t*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -30, -36, -26, 6, 66?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2 + 2*d + 1. Let f be u(-1). Let o = 11 - f. Solve 9 = -3*s + o*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296144?\nAnswer: 2, 83, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7)**(-2\/59) assuming b is positive.\nAnswer: b**(-14\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232 - 231. What is the smallest value in 2\/5, -3, 4, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 3:44 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s + s + 5*s - 9. Let q be u(7). Suppose -4*i = -3*p + 97, -2*i + 34 = q*p - 145. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 965.8044ng?\nAnswer: 0.0000009658044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -50784184 divided by 2308372\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**2*s**2*u + 2*i**2*s*u*v - 9*i**2*u - i*s**2*u*v + 31*i*s**2 + i*s + 2*s**2*u*v - u*v wrt i?\nAnswer: -10*s**2*u + 4*s*u*v - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13027567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*-2*(-3)\/(-18). Let c(o) = 13*o**2 + 5 - 5*o**2 - 7*o**2 + o**3 + w*o**2. Let f be c(0). Solve b - 9 = t, f*b + 5*t - 3 - 2 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1659648\/143 + 11606. Put w, -1, -0.2 in descending order.\nAnswer: w, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-10)\/2 + 0. Let l = -1404 + 786. Let q = l + 621. Solve -4*z - 1 = a, 5*a + q = -b*z + 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 0\/(1*-2). Let t be 1\/x - 2\/4. Suppose 4*i + i - 60 = t. 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: What is 1*2*245\/70?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 920 - 918 + 11*z in the form a*z + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5\/8)\/(u**(-12)*u))\/((((u\/(u\/(u\/(u*((((u**(-34)\/u)\/u)\/u)\/u*u)\/u))))\/u)\/u)\/u*u**3))**(-10\/9) assuming u is positive.\nAnswer: u**(1105\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1388927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 16*z + 61. What is s(-18)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -155*i**2 - 6. Let v(n) = n**2 + 1. Give -6*v(t) - z(t).\nAnswer: 149*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*a = -0*a + 7, a = 3*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -9. Suppose 7 - 367 = -3*q - 4*l, -a*l - 254 = -2*q. Suppose 3*d = -d + q. Calculate the remainder when d is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -95291404, -95291407, -95291410?\n\"Answer: -3*b - 95291401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3*9\/2. Let f(d) = d + 24. Let l be f(-16). Suppose c + q + q - 2 = 0, 4*c - 4*q - l = 0. Solve -1 = -5*v - y - c, v + y = z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3916 - -6201. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -1) + 12 + -3. Solve k - 3*b = -l, -k + b + 4*b = 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - 2*j)*(-3 + 4 + 1)*(3 + 4 - 5).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {p: 4, a: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10)*m*m**(20\/9))\/(m**(2\/49)\/((m\/m**(12\/5))\/m)) assuming m is positive.\nAnswer: m**(-20327\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 454472 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -24, -46, -86, -150, -244, -374?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 15*j**2 - 12*j - 30. Determine w(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + -1 + (sqrt(84)\/sqrt(3))**2.\nAnswer: 2*sqrt(7) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 4626 = 278*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 468*k**3 + 245*k**5 - 700*k**4 + 242*k**3 - k - 300*k**2 + 46*k.\nAnswer: 5*k*(k - 1)**2*(7*k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -268 - -280. Suppose -2*q + 2*g + 6 = -0*q, 0 = 2*q - 5*g - b. Solve -3 = f - q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658887818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24288 or 24174?\nAnswer: 24174","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f - 2*f)*(0*f + 3*f - f)*(-2*f**3 + f**3 - 2*f**3)*(1 + 4 - 2).\nAnswer: 18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4366*c + 315354 = 4405*c. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**2 + 7*a + 5. Let i(k) = -k**2 - k - 1. Let g be (12\/15)\/((-66)\/(-165)). Determine g*r(j) + 10*i(j).\nAnswer: 2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 7*p - 1. Let z be w(8). Let s be 3*z\/((-21)\/(-4)). Suppose 8*a = s*a - 60. What is a rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282180 divided by -141090.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4 - 6462*l**3 + 917148*l**2 - 42578152*l + 655849968 = 0?\nAnswer: -3369, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 8 + -1 - (-12 - -22) - -67?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22200067943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-6)*(-9)\/(-3). Suppose 0 = 4*v - u + 17, 0 = 5*v - 56*u + 61*u - 10. Sort p, 2, 3, v in increasing order.\nAnswer: v, 2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + -81. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtx when three letters picked without replacement from qxqtxqx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2ca72 (base 14) to base 4\nAnswer: -123103030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7685110 - 0.74.\nAnswer: -7685110.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 622324567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/5 - 99*v\/5 + 102\/5.\nAnswer: -3*(v - 1)*(v + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2058))\/(6*sqrt(24) + sqrt(6)).\nAnswer: 7*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677873*h + 678175*h = 30804 for h.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d - 5. Let j(q) = 22*q - 17. Let s(v) = j(v) - 6*r(v). Let m(y) = y + 1. Determine -6*m(t) + s(t).\nAnswer: -2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 314*l**2 - 41*l - 18. Let s be d(9). What is the tens digit of s\/66 - (-1)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*o - 1 + 39, 0 = j - o - 10. Which is greater: j or -17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -19261?\nAnswer: 7704.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96438 + -63001. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 4.858.\nAnswer: -1.4574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*l**2 + 72*l**3 - 192*l**2.\nAnswer: 72*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -33189?\nAnswer: -33191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 553 = 10*m. Does 25 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -31*z**2. Let y(c) = 101*c - 36019. Determine y(w(r)).\nAnswer: -3131*r**2 - 36019","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 = 3*g - 20, 0 = -g + 2*d + 2. Suppose 65 = g*f + h, 5*f - 3*h = -0*f + 94. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from {y: 2, f: 2, e: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006317 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w = -51*w + 72 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9557, -10178, -10803, -11432?\n\"Answer: -2*d**2 - 615*d - 8940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6845177 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/30 and -115\/6498.\nAnswer: 32490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x**2)*(3*x - 6*x + 2*x) + (-x**2 - 3*x**2 + 2*x**2)*(3*x - 2*x - 2*x) + x**2 - x**2 - x**3 + (-4 + 0 - 1)*(1 + 2*x**3 - 1).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qccxwzb. Give prob of picking 1 b, 2 c, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17 - -0.47. Let n = -6 + 6. Suppose n = 3*h + 24. What is the smallest value in h, m, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ac (base 16) to base 9.\nAnswer: -2622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-585)\/612)\/((-12)\/(-16))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180325542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -675*j + 4058. What is h(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 0*a - 5*a - 33, -5*a - 25 = 0. Let s(p) = 7*p - 3. Let v be s(m). Suppose 2*n + 1 = v. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = 5*z + 32, -4*h = -4*z - 20. Let k(b) = -23*b**2 - 17*b + 17. Let x(a) = -8*a**2 - 6*a + 6. Determine z*k(f) + 17*x(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 218255 + 218257 = 0, 84 = -4*z - 4*f for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 7*w + 9. Let v be y(4). What is the nearest to -2 in 0, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 475\/(-252) + 14\/(-63) and -17\/18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1014?\nAnswer: 1\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + z + 19 = 0, z = 219*o - 216*o - 29 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9069 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 300095921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (801\/1780)\/(6\/8).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13901197 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52707, -52688, -52665, -52638, -52607, -52572?\n\"Answer: 2*k**2 + 13*k - 52722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -357316596, -714633194, -1071949792, -1429266390, -1786582988, -2143899586?\nAnswer: -2501216184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86454797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + f + 3*f + 28 = 0, -2*l - 3*f = 4. Solve 0*q = -l*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 14*r + 8. Let t(i) = -13*i - 8. Let v(z) = -3*k(z) - 4*t(z). Let j be v(-2). Is -12 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-13) - 6\/(-39). Let w(s) = s - 4*s + 2*s + q. Suppose u + 1 = -4*p, 3*u + p = -3*p - 11. Give w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(950\/40))\/(4\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1 - 2*z**2 + 3*z + 5 + 0. Let k be (7\/((-7)\/(-3)))\/1. What is r(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15b3 + -3760?\nAnswer: -5153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 11 = -3*t + 2*r, -t + 2*r = -7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -23. Calculate the remainder when (-2)\/4*(v + -235) is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 211*y**2 + 531*y + 325. Give m(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r**3 - 12618*r**2 + 1268*r - 138781. Give t(1147).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 0 - (-6 + 19). Let s be 0*((-10)\/o + -1). Suppose s = -6*m + 5*m + 7. Calculate the highest common divisor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 21 = -o, 0 = 3*o + 7717*u - 7723*u + 42 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 27. Calculate the smallest common multiple of 20 and 6\/(g*1\/(-6)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/11))\/((m\/m**(-1\/11))\/m)*(m\/(m**(2\/7)\/m))**49 assuming m is positive.\nAnswer: m**(936\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-2) - -3) + 2)*(-72)\/432.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 3. Suppose -17 = -3*b + i. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k*q**3 + 6236834*k*q**2 + 3504507*q**3 wrt q?\nAnswer: 24*k + 21027042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -21*z + 1485. Give b(71).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.139 + -0.139. Suppose 0 = -4*m - 11 - 5. What is the nearest to v in 2, m, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22266 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.17 and -608.\nAnswer: -609.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/65 less than -145508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33592 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47389607 is divided by 453.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101001100 - 11?\nAnswer: -11101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*x - 9. Is (360\/(-3))\/x*1 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(60)\/sqrt(4))\/(sqrt(405)*-1).\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2088540 (base 9) in base 11?\nAnswer: -6a6786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 2708\/10197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = 12. What is the smallest common multiple of l and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363679282 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859524821?\nAnswer: 859524821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g + 65. Let r be z(21). Let o be (r + 2)*-1*(-6)\/1496. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 336\/(-112)*(-6)\/(-225)*(-5)\/(-6).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -45\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, 0, -50 in decreasing order.\nAnswer: 15, 5, 0, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.8429 times 3\nAnswer: 2.5287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 70 = j - 5, -u + 6 = 4*j. Let r = u + 10. What are the prime factors of 2\/r + (-441)\/(-14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26645, 53271, 79897, 106523, 133149?\n\"Answer: 26626*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 5*t - 2*t + 128 = 27*p + 15, -5*p = -4*t - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-90)*1)\/(1\/(-66)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2 - 3 - z + 2. Let x(q) = 8*q - 3. Let r(c) = 6*w(c) + x(c). Let i be 1\/4 - 22\/(-8). Determine r(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*f**3 + 66*d*f + 14289*f**5 + 339*f wrt f?\nAnswer: 12*d*f + 285780*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-33)*6)\/(-2)*340\/40.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1322 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1128*c + 42820 - 2413 + 34886 = -30739 for c.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z**3 + 2*z)*(-972*z - 52*z - 165*z - 1398*z).\nAnswer: -2587*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.16 + 0.04. Let y = -16 + 19. Put c, y, -1\/5 in decreasing order.\nAnswer: y, c, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4729\/95 or 51?\nAnswer: 4729\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6bb0 (base 13) in base 4?\nAnswer: 3231100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 21 + 77 = 0. Solve 2*s - m = -2*p, -3*s + 2*p = 3*p - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 98.5 in 2\/3, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w + 38. Let a be j(-7). Let r(f) = f + 0*f**3 - 2 + 4*f + 0 + f**3 - 4*f**2. Let o be r(a). Solve 21 = -3*x + 2*x - 5*g, o*x + g + 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1.6 (b) 2\/5 (c) 107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 647 - 588. Which is the second biggest value? (a) u (b) -3 (c) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 46223908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 134 * 639.1\nAnswer: 85639.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8493?\nAnswer: 3, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -b - 147. Let o(j) = j**2 - j - 4. Determine o(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20045083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 8*f**2 - 6*f - 2. What are the prime factors of k(6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 85048.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/84 + 1 + 1360\/(-1603). Let g = 922\/687 - v. Sort 2, g, -25 in decreasing order.\nAnswer: 2, g, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f = -4. Let c be (0\/f)\/3 - 9. Let t be ((-6)\/c)\/((-4)\/(-30)). Solve -21 = -t*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*q - 2*f + 3 = 102*q, f = 5*q + 40 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 18*v + 398. What is the units digit of t(52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/14 or 1\/3?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 14. Let n = -11 + 11. What is the tens digit of o(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*z - 789, 3*l + 2*l = 2*z - 759. Does 30 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/((c\/(c**6\/c))\/c*c)*c))\/(c\/(c*c*c*c\/(c*(c**(-2)*c)\/c))*c*c*c))**37*((c**(-2)\/c)\/c*c**(1\/8))**8 assuming c is positive.\nAnswer: c**(-179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1531*c. Let q(i) = -513*i. Let b(l) = 21*q(l) + 6*u(l). Let j(s) = 5*s**2. What is b(j(y))?\nAnswer: -7935*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/(1\/17*(-238)\/308*-11).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4, 106\/7, 1\/547, -0.2, 0.5, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 10. Let j be a(0). Let h = 24 + j. Find the third derivative of 5*x**2 - 3*x**2 - 58 + 58 - h*x**3 wrt x.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*v + 3*v, -3*v = y + 18. Let s be (-2)\/4 - y\/6. Let m(q) = -15*q. Let l(n) = n. Let d(i) = s*m(i) + 55*l(i). Let c(k) = k. Calculate d(c(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 + 7*b - 15. Give s(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 0 + 5 - f - 3 - 3. Let b(s) = -6*s - 4. Let x(v) = -b(v) + 5*t(v). Suppose 0 = -5*k + k + 40. Let l(r) = -2*r + 3. Calculate k*x(m) + 4*l(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224031?\nAnswer: 3, 53, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -359 - 4063773?\nAnswer: -4064132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17*1050\/(-1020))\/((-35)\/(-5))*(-216)\/(-10).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -71*k**3 + 2*k**2 + k. Let n be q(-1). Suppose 960 = -77*l + 45*l. Let x be n\/l*8000\/(-6). Round x to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -61.2 (b) 4\/5 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250.751*5.\nAnswer: 1253.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/1 + -1)\/2. Suppose u = k - 0*k - 2*f + 12, 2*k = -3*f + 11. Does -6\/11 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 n when four letters picked without replacement from nnnneennenennnnnnne.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, o: 7, k: 4}. What is prob of picking 1 k and 2 m?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1785581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 288864931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5\/8, -0.3, -3\/8, 84 in descending order.\nAnswer: 84, 1, -0.3, -3\/8, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + k. Let a be w(-4). Let q be (-4)\/a + 31\/3. Let s be (-8)\/(-12) - q\/(-3). Solve -4*f = -3*u + f, s*u = -f + 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 9*k**2 - 10*k - 9. Give a(-5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 435 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 9*a + 2 = 2*y, -20 = -4*y - 2*a. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + 95*q**2 - 83*q - 10. Let l be j(39). Suppose 0 = 3*g + 16*g + l. Round g to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.2. Let a(h) = -4*h + 4. Let c be a(-3). Let g be (2 - 36\/c)*2. What is the third smallest value in u, g, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4599694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -521273.321 to the nearest 10.\nAnswer: -521270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.99954 - 20. Round k to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 106*m - 1168. Give y(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99.57 + -100. Let z = l - -0.83. Sort -5, -3, z.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d4931 + -c?\nAnswer: d4924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*h + t + 16, -40 = 5*h + 5*t. What is the tens digit of 16\/h*18\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25128 and 11284?\nAnswer: 70886088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18648 = -28*x + 14*x. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 4, 22\/15, 272\/5 in descending order.\nAnswer: 272\/5, 4, 22\/15, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3869 = -25*m - 4069 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2. Let a(q) = 43*q**2 + 3577. Calculate a(u(v)).\nAnswer: 172*v**4 + 3577","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -161479837.\nAnswer: -484439511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 1522255?\nAnswer: 608902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -17*t + 479. Let n be j(28). What is the closest to -1\/3 in n, -3, -1\/4, -2\/25?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 3*p**2 - 2. Let o = 7 + -9. Let g be u(o). Let y be (3 + -4)*g\/(-8). Is -1 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79440 is divided by 39708.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a05b85 - 83?\nAnswer: a05b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6112 and 370858588?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g. Let b be r(-1). What are the prime factors of b - (-812*1 + -5)?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3754 (base 9) to base 4.\nAnswer: -223303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -456 != -28702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*n - 24, -17*n + 12*n - 32 = -4*t. What is the thousands digit of (42300\/t)\/(-5)*(-18)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**5 + 2*b**4 - 1581*b**3 + 955*b**2 - 2*b.\nAnswer: 540*b**2 + 48*b - 9486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2177 + 1.7823. What is the closest to z in 0.3, 0.2, 0, 17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) 11.15415 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/11, 5, 4 in increasing order.\nAnswer: -9\/11, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/15 + 86*l**2\/15 - 176*l\/3 - 968\/15 = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1927264 by 2104.\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**8\/112 - g**7\/14 + 7*g**6\/40 + g**5\/20 - g**4 + 2*g**3 + 412*g**2 + 3*g. Determine c so that o(c) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123120 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = 4*b. Suppose 0 = -m + 22 + b. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 382764424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -7353947.\nAnswer: -4\/7353947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + sqrt(77) + -1*(sqrt(77) - (sqrt(77)*-1 + sqrt(77)))))\/(sqrt(567)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 4*z - 4. Let a = 161 - 134. What is the common denominator of p(-3) and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.26 or 424?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(700) + 4)*5 + 5.\nAnswer: 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -149\/6 in 14, -0.3, 1, 4, -905?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 23*m**2 - 97*m + 11. Is k(-5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 321. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. Let d(y) be the third derivative of y**6\/720 - 9*y**5\/40 - 3*y**4\/2 - 5*y**2. Let p(j) be the second derivative of d(j). What is t(p(n))?\nAnswer: -2*n + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1206, 7677, 18464, 33573, 53010?\n\"Answer: n**3 + 2152*n**2 + 8*n - 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11060 + -5?\nAnswer: 11052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 3907*t - 3915*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1714\/69 + 96\/23. What is the common denominator of 26\/339 and r?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 4:48 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n**2 - 7*n. Let d(q) = 6*q**2 - 120*q - 127*q + 250*q. What is -6*c(f) - 14*d(f)?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 - 1 = 0. Let c be p\/(-3) + (-14)\/6. Is -1 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -90, 1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + -0.2. Let m = -4 + s. Let d be (-8)\/(-22) - (-2)\/(-11). Which is the nearest to -2\/3? (a) d (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34071.9 rounded to the nearest 10?\nAnswer: -34070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) + 1)*3 - sqrt(833)) + sqrt(833))**2 - sqrt(612)*4*3.\nAnswer: 54*sqrt(17) + 7506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359 a factor of 5734330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4 and -83\/73880572.\nAnswer: 73880572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = -2*h - 46, -80 = 4*h + 5*v. Let o be 3\/(-5) - (-10)\/h. Put o, -0.2, 0 in descending order.\nAnswer: 0, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5778 and 2958.\nAnswer: 2848554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-4 - (2 + -3 - -3)) + 58 + -103)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 472, -11, 23, 3 in increasing order.\nAnswer: -11, 3, 23, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a - 5 + 32*a + 54*a + 70*a.\nAnswer: 139*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(70))\/sqrt(2))\/(6*sqrt(45)*-1 - sqrt(45)).\nAnswer: 2*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q**3 + (0 - 3 + 5)*(2*q**2 - q**3 - 2*q**2) + 3*q - 3*q - q**3)*(-9*q - q - 2*q) + q**3 - q**3 - q**4.\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -2699.\nAnswer: 32388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(4*j + j - 4*j) + 3*j + 2*j - 4*j as b*j + d and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 + -0.6. What is the closest to r in 2\/11, 0, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3513963.95 rounded to the nearest ten thousand?\nAnswer: -3510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(13\/2)\/x)\/(x\/(x\/(x**(-9\/4)*x))) assuming x is positive.\nAnswer: x**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 97 + 35. What is the highest common divisor of 33 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/13 + 289644*p\/13 - 40221874\/13.\nAnswer: -2*(p - 144683)*(p - 139)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 142, -5, -350, -1, 3, 2, 5 in descending order.\nAnswer: 142, 5, 3, 2, -1, -5, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = z + 2*z + 35, 0 = z - 5*p + 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 - -81. Let r be 7*3 - (-3 + 5). Let h = k + r. Which is the smallest value? (a) h (b) 4 (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 419, 5, 1454 in increasing order.\nAnswer: 1, 2, 5, 419, 1454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9808, -39241, -88312, -157033, -245416?\n\"Answer: -2*m**3 - 9807*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -120*l + 35. Let u be 5\/(15\/(-2))*3. Let g(y) be the third derivative of 7*y**4\/24 - y**3\/3 + 5*y**2 - 17. Give u*c(z) - 35*g(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1879\/7 - 269. Let m = 19\/21 + b. Factor -1\/3 - 1\/3*x + m*x**3 + 1\/3*x**2.\nAnswer: (x - 1)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3122511493?\nAnswer: 61, 51188713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-1) + (-3)\/1. Suppose -2*i - 20 + d = 0. Let a(s) = -s**3 - 7*s**2 + s - 5. Give a(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8284062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*a + 42 = -65*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -2\/11, 2, -0.514, -5, 1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -41*s**3\/3 + 86. Let f(g) = 5*g**2. Calculate w(f(z)).\nAnswer: -1025*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 220 - 198. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 17. Suppose -5*d + 57 = 3*o, -77 + 14 = -x*o - 3*d. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(24)\/(2*sqrt(8)))**2 - ((-1*sqrt(12))**2 + sqrt(3)).\nAnswer: -21\/4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/242340 and -50\/51?\nAnswer: 4119780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 3*i**2 + 3*i - 2. Let o(x) = 2*x + x**3 + 3*x**2 - 11*x**2 - x**2 - 2*x**2 + 9*x**2 - 1. Determine 4*k(n) - 6*o(n).\nAnswer: -2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 20. Calculate the least common multiple of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = -15. What is the first derivative of a - 1 + v + 9 + v wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4116866 + -1401866. What is r rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4 - 43*s**3 - 391*s**2 + 1587*s = 0 for s.\nAnswer: -23, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -12*k - 29. Is h(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392926667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001123 - 100031?\nAnswer: -1101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 119+-0.269\nAnswer: 118.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/40)\/(-1))\/(-1 - (-9)\/(-5))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 825a - 6?\nAnswer: 8254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/15)\/((-2)\/(-24)). What is the smallest value in -3, u, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28661375 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000250073943 to seven dps.\nAnswer: -0.0002501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 21652444*s - 410224789776494.\nAnswer: -2*(s - 37891777)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) - (-9)\/12. Let r = n - 6. Let y be r*(1 - (-1 + 7)). Solve -4*x = u - 2*u + 25, -4*u + x = -y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -8. Suppose 0*z - 24 = -a*z. Let p = 5 + z. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6655 (base 7) in base 2?\nAnswer: 100101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 2*l + 6. Let d be c(5). Is (-28)\/(-8)*d\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2039, 9, -5, -30, -15 in ascending order.\nAnswer: -2039, -30, -15, -5, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, g: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruuhkr. What is prob of sequence huuk?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*sqrt(112)*-1 - (((sqrt(175) - sqrt(175)*-1) + 5 + sqrt(175))**2 + sqrt(175) - ((sqrt(175) + -1 - sqrt(175)) + 1)).\nAnswer: -1598 - 167*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 5*o + 19. Let k be f(7). Solve -k*s + 2 + 0 = l, 4 = 2*l - 3*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l - 15. Suppose -2*s = 2*m - 6, -2*s + 4 = -6. Let o be w(m). What is the highest common divisor of 56 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71435\/12 + -5958. What is the common denominator of 11\/36 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 2. Let q(w) = -6*w - 8. Let s(k) = -20*n(k) - 5*q(k). Let m(z) be the second derivative of -z**3\/3 - z. What is m(s(a))?\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.807 + 140489.87?\nAnswer: 140488.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 17 = -3*x + 44, 4*u - 65 = x. Suppose -u*z - 9 + 57 = 0. Solve 5*r = z*g - 2*g + 3, 3*r + 5*g + 15 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.603 times 18140?\nAnswer: 29078.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 19*t**2 + 20*t + 23. Give z(18).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + 14 + 8 - -4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*h + b, 3*b + 474 = 3*h + 438 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 119 = 9*h. Suppose 4*g - h*g - 21 = 0. Let r(t) = -t**3 - 6*t**2 + 5*t + 10. Give r(g).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844*o + 7276 - 3196 = -7736 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 237*s**2 - 684*s - 684. Calculate c(-1).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24, -2\/11, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 466 or 831?\nAnswer: 831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207357.414 - -0.035.\nAnswer: 207357.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 9:34 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022122012 (base 3) in base 8?\nAnswer: 62573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 93. Let s = -38110 + 38107. What is the third biggest value in 0.4, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1111 + 189. Is f a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -356432 (base 7) to base 8.\nAnswer: -176277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 6.99. Let x = f - 0.11. What is the biggest value in x, -2\/9, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 2*u + 5. Let b be n(-5). Let t = 5 + b. Let o be (-63)\/(-15) + (-32)\/8. What is the third smallest value in o, t, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 - 4*x**2 - 15*x + 2 + 26*x + 0*x**2 + 0*x**2 as y*x**2 + o + n*x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 19.5. Round x to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y + 5*z, 2*y - 1 = 3*z + 3. Let j(c) = 0 + 0 - c**2. Let v(q) = q**2. Determine y*v(x) + 3*j(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 3*u**2 - u + 2. Let p be g(3). Let k = 0 + p. What are the prime factors of 4\/2*k - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 21 - (-440)\/(-24). Suppose -2*h - 3 + 11 = 0. Find k, given that 0 - i*k + 1\/2*k**5 + h*k**3 + 0*k**2 + 8\/3*k**4 = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -9736.\nAnswer: 3\/9736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*(-438)\/(-292).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 12 = 28*h, 2*h = -2*h - 3 - 2 - 3 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 - (-7 + 9) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -967 - -976. Calculate the remainder when 341 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 10*b + 11. Determine w(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/860*5*10\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-3)\/(-42)) - 1. Let r = o + -8. Solve 2 = k - 3*p, -4*k + 4 = r*p + 30 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 1 - 3 - 52 + 1 - 5 + 3*j + 1.\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (0 + 11 - (3 - 1)). Let s(l) = -6*l + 2*l - 6 - 6*l + 14. Let x(v) = -v + 1. Let k be (1\/2)\/(1\/2). Give k*s(n) + z*x(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/346 and -42\/65.\nAnswer: 22490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from {o: 2, y: 1, n: 7, k: 4}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7695951689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/1848385 and -211\/10082100?\nAnswer: 110903100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3)\/p*p)\/p)**22\/((p\/p**(2\/3))\/(p*p**(-1\/5)\/p*p))*(p**2\/p*p\/p**3)\/(((p**(-4\/3)\/p)\/p)\/(p\/(p*p*p**(-2\/7)\/p*p*p))) assuming p is positive.\nAnswer: p**(-656\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7310.5 + -7309. What is the nearest to 1 in -0.2, -0.17, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -48*y**3 - 4*y**2 + 8*y + 3. Let a be v(-4). Suppose 14*d - 7451 = a. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 454, 811, 1016, 1009, 730, 119, -884, -2339?\n\"Answer: -10*p**3 - 16*p**2 + 475*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 7}. What is prob of sequence rrrv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/6 + 101*u\/6 - 1955.\nAnswer: (u - 69)*(u + 170)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -1. Let r = -0.13 + -18.87. Let u = 20 + r. What is the nearest to -0.1 in v, -5, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 548067 and 5345639.\nAnswer: 368849091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 1576*d - 998240.\nAnswer: 4*(d - 340)*(d + 734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 701 - -4?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times -47?\nAnswer: -2491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 78, 5, -6\/7, -1\/887?\nAnswer: -1\/887","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4128\/(-6336) + (-2)\/132)\/((-2)\/51)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -35*i**3 - 4*i**2 - 5*i + 1. Let m(v) = -52*v**3 - 6*v**2 - 7*v + 2. Let k(s) = -5*m(s) + 7*o(s). Does 35 divide k(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52052368?\nAnswer: 2, 17, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b + 14. List the prime factors of i(11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 40*s**2 - 95*s + 60.\nAnswer: -5*(s - 4)*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = i + 56, 4*i - 4*s = -s - 245. Let n = i - -108. Suppose 0 = k + 3*h - 8*h - 7, 3*k + 3*h = 21. What is the highest common factor of n and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*n + 50*n - 1152 + 75 - 3411 = 0 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 1)\/((-5 - -7)\/1). Let r = 6 - 4. Which is the nearest to d? (a) r (b) -5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Let z be (-13)\/1 - (-102)\/2346*253. What is the nearest to 2 in y, z, 2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 1 + -2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-30)*20)\/(1\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - 1.95. Let r = -5.7 - -3. Let d = 2.4 + r. Sort d, z, -5 in ascending order.\nAnswer: -5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3\/19 (b) -7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*sqrt(136)*1)\/(-2*sqrt(512)).\nAnswer: -4 - 3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 56. Let x be g(19). Sort x, 27, 2.\nAnswer: x, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26849 is divided by 2983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5264 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 11) to base 13\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-15)\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 49904.\nAnswer: 2\/3119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 95379 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 5, -1, 119 in decreasing order.\nAnswer: 119, 7, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -17*b. Suppose 13*s - 3615 = 10*s. Let v(a) = -1205*a - 5*a**2 + s*a. What is z(v(y))?\nAnswer: 85*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*o + 149*j**2*o**2 + j**2*o + 5*j*o**2 - 7*j*o - 2*o wrt j.\nAnswer: -6*j*o + 298*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(704) + -3 + 5)**2.\nAnswer: -48*sqrt(11) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36130.9 - -36131. What is the closest to y in -4\/7, 208, 3\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18258 - 4947 = 317*w + 272*w - 134*w for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0*d**2 + 3*d**2 + 0*d**2. Let p(i) = i**2 + 19*i - 19*i. Give g(p(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 8*j**2 + 2*j - 11. Suppose 9*u - 16 = 7*u. Let o be n(u). Suppose o*g - 3*h - 44 = 0, 3*g - 4*h - 13 = 9. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(800) + 1 + sqrt(800) + (sqrt(2) + sqrt(2) + -1 + 4)**2 + -5.\nAnswer: 13 + 52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2693635927?\nAnswer: 37, 72800971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -359276, -1437335, -3234092, -5749541, -8983676, -12936491, -17607980, -22998137?\n\"Answer: n**3 - 359355*n**2 - n + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/9 (b) -109 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/((-21)\/(-162))*(1 + -2). Suppose k*n - 56*n + 4 = 0. Suppose -5*o = n*c - 82, 11 = 4*o + 5*c - 41. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 7. Let b be m(-6). Let l be (-3)\/b*4\/(-3). Let w be l + 4 + 4 + 1. Solve 2*p - w*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 76 - 105 + 50*x - 223 + 11.\nAnswer: 50*x - 236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h. Suppose h = 28*p - 21*p - 252. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132363 is divided by 212.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l - 4. Let u(x) = 20*x**3 - 3*x**2 + 3*x. Let r be u(l). Let t = -5840 - r. Round t to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:28 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 930 = 5*a + 5*f, f - 506 = -4*a + 247. What is the lowest common multiple of 105 and a?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000047874 to 6 decimal places.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10b (base 15) in base 13?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 + -55. Let y = 280 - v. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-2)\/2 + -31. Let r be m\/14 - (-4)\/14. Let z(t) = -39*t + 1. Is z(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16835509 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 i when four letters picked without replacement from ziizwziwzzziiizi?\nAnswer: 63\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 less than or equal to 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*l = -4*l + 52, 0 = -4*f - l + 68. Let g be 0 + 1\/(3\/(-36)). Let o be -20*(g\/10 + 0). Calculate the greatest common factor of o and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17157 * -0.8\nAnswer: -13725.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 0*w**3 - 1694*w + 970*w - 3*w**2 + 872*w + w**3 in the form n*w**3 + p + k*w**2 + g*w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 112012?\nAnswer: -112013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 986669?\nAnswer: 986671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 33 - 31 = 0. What is the nearest to -1 in 0.2, j, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and 125531889 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 796.1966t to kilograms.\nAnswer: 796196.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9467*f + 9595*f + 446 - 62 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 21, 32, 45?\n\"Answer: f**2 + 6*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6)*3 + -10 + 9. Solve 3*l + f = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r. Let f(t) = -t. Let z(b) = 3*f(b) + m(b). Let k be 1\/((-10)\/12) + 74\/370. Give z(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.121732 to 4 decimal places.\nAnswer: 0.1217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 10 - 25*w + 36 + 25 + 40.\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 5944*m**2 + 4787706*m - 539634348.\nAnswer: 2*(m - 1419)**2*(m - 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/22)\/(-1)*2\/(-2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -1 + 1. Let o(x) = 143*x + 237 - 247 + q*x. Is o(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.6 - 1.4. Let a = -6.09 - c. Let b = 0.01 - a. What is the closest to 0.1 in 0, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213260, 213489, 213720, 213953, 214188, 214425?\nAnswer: 214664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/195 and 64\/13612599.\nAnswer: 68062995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/13 (b) 0.3 (c) -1.59 (d) -2\/25 (e) 5\/4 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-518)\/(-111) - (-2)\/6. What is the second smallest value in d, 0.1, 2\/55, -1.5?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 17. Suppose -s*g + 0*g = 0. Solve -j + 3*a + 6 = 0, -4*j + 6 = -g*a - 3*a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 142303.\nAnswer: 142303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 2*n + n)*(5 - 2 + 1)*(n + 0*n - 5*n) + 0*n**2 + 2*n**2 + n**2.\nAnswer: 51*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045300.\nAnswer: 2, 5, 113, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 + q + 1. Let r(s) = -s**2 - s - 1. Let g be 127\/(-5) + (36\/20)\/(-3). Let l be (-5 - g\/4)*-2. Determine l*r(y) - 3*z(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(1\/(-2))\/((-27)\/(-9)))\/(646\/(-66861)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**4\/24 + 7*j**3\/3 - 10*j**2. Suppose -4*m + 3 = -29. What is the least common multiple of m and o(11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t + 123 = -0*t. Let p = 0.03 - 0. Let h = p - 0.03. What is the closest to h in t, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 y when three letters picked without replacement from vvtyvvvjtvyytjy?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 1941.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.945 * -0.042525\nAnswer: 0.040186125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 31*t**2 - 108*t - 1. Give u(27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -356406 (base 9) in base 5?\nAnswer: -23332111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 164, 581, 1394, 2735?\nAnswer: 4736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 105, 203, 329, 489?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (8\/2)\/(-2). Let j be 20\/2*(1 - v). Suppose 3*x = 79 - 19. What is the highest common factor of j and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 14.2727207?\nAnswer: 0.285454414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6786\/609*(-5 + (-18)\/(-12))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/3 - 22*s**3\/3 + 79*s**2\/3 + 34*s.\nAnswer: s*(s - 17)*(s - 6)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, -151, -652, -1621, -3214?\nAnswer: -5587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.414 in -3, -2\/5, 2\/45, -2, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -951748, -951742, -951732, -951718, -951700?\nAnswer: -951678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3772 is divided by 791.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -1. Let d(t) = -t**3 + t. Let p be d(j). Let x(o) = -o**3 - 4*o**2 - 4*o + 1. Let l be x(-3). Solve -5*u + l*u = p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220222212101 (base 3) in base 12?\nAnswer: -62b977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -559505.55585298 + 559500.865. Let n = k - -9.0908513. Let w = 4.4 - n. Round w to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7002 a factor of 2921870591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601990?\nAnswer: 2, 5, 37, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10)*s**(-2\/19)\/s*s)\/(s**(-3\/2))**(3\/2) assuming s is positive.\nAnswer: s**(-597\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3164 + -2643.2. What is q rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 8132?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -15*g - 1262. Give k(-100).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11067705 is divided by 922291?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 4*q - 35, -5*q = 2*m - q - 26 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1. Let s(k) = 2*k - 11. Calculate s(j) - 2*z(j).\nAnswer: 2*j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66117 - -15802014\/239. Let a = -1\/30 + 2\/15. What is the common denominator of h and a?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 8:25 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 224? (a) 3 (b) -7 (c) -2.1 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {o: 5, u: 4, v: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + 15*d + 5. List the prime factors of x(-7).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 + -178. Let l = v + 54. Let o = -2.1 - -0.1. Which is bigger: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 84, 129, 176, 225, 276, 329?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -3*z - 21, o + 24*z = 27*z + 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -3*f - 28, 4*n + 6 = -4*f + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 8*f**2 - f - 5. Let w be h(-8). Let r(k) = k + k**w + 24 + k**2 + 28 - 15. Is r(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -441 + 474. Let p be (2 - 2)\/(2 + -1). Suppose p*f - 15 = -5*f. Calculate the greatest common factor of f and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/120 + d**5\/16 - d**4\/6 + d**3\/6 - 21*d. Determine j, given that o(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgivn. Give prob of sequence vvng.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.0212 decades in centuries?\nAnswer: 2.50212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(153) - (sqrt(153) + 2*sqrt(153) + sqrt(153)))*6*-5)\/(-4*sqrt(576) + (sqrt(324)\/sqrt(9) - sqrt(36))).\nAnswer: 45*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 + 3*r - 70. What are the prime factors of l(19)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*l + l + 8, -5*y - 4 = -3*l. Let i be -1 + (-33)\/(-7) + -2. Factor -2\/7 - i*v**2 - 2\/7*v**4 + 8\/7*v + 8\/7*v**l.\nAnswer: -2*(v - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**2 + 0 + 6*i - 2\/3*i**3. Find the first derivative of r(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.4 and -0.1.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -6. What is the nearest to 4 in -2\/5, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 5*r - 584. Suppose 4*v = 2*p - 52, -4*p + 0*v + r = v. Suppose -i + 2 = -m, p = 3*i + 5*m - 2*m. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -22*y**3 - 114*y + 661. Let s(h) = 19*h**3 + 114*h - 659. Let o(f) = 7*s(f) + 6*w(f). What is the derivative of o(x) wrt x?\nAnswer: 3*x**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -3*p + 0*p**3 - 1\/5*p**5 - 2 + 0*p**4 + 0*p**2. Find the first derivative of s(f) wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 157036371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 2, s: 2, e: 6, i: 5}. Give prob of sequence ii.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = v - 2. Let w = -5.127 + 3.927. Which is the smallest value? (a) w (b) -0.03 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2656348967 to the nearest integer?\nAnswer: 51540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 10:20 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 100\/(-40)*(-56)\/(-10). Let t be -4*106\/p - (-26)\/(-91). Calculate the highest common factor of t and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*r**3 - 7*r**3 + 4*r**3 - 72*r**3.\nAnswer: -141*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 - 102. Suppose -2*g - t*g = -20. What is the remainder when (1 + 4)*(g - -2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14845848*d**4 - 49221642*d wrt d.\nAnswer: 178150176*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 15. What is o(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -8324, -13 in decreasing order.\nAnswer: 15, -13, -8324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*((-28)\/(-8) - 3). Suppose 23 = 3*y - w*y. Suppose -6*u = -u - 5*x - 25, 4*u = 5*x + y. Solve 5*c - 8 = d, 3*d + 12 = u*c + c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 12. Let x be (-12)\/14*21\/s. Is 1 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 1:48 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 80282239.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 + 17*l**2 - 29*l**2 + l**3 + 9498186 - 9498186.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3751\/868)\/11*40\/((-15)\/3).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(-5 + 5 - 3*d) + (3 + 4 - 5)*(-10 + 10 - 2*d) + 2 - 2 + 2*d in the form a*d + i and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 75912 - 75914 + 151826.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*f + 11*f + 1932. What is the remainder when 89 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 5 + 1978\/(-414) - (0 - (-2948)\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0 + 60*t**2 - 1\/210*t**7 + 1\/30*t**6 + 1\/24*t**4 + 0*t + 0*t**5 - t**3. What is the second derivative of v(f) wrt f?\nAnswer: -12*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 1)*(64*x + 63*x - 110*x)*(2*x + 3*x - 3*x)*(-3 - 1 + 2)*(7 - 2 - 3)*(2*x - 2*x - x) to f*x**2 + w*x + q + c*x**3 and give c.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 149. Let d(u) = -3*u**2. Give d(w(l)).\nAnswer: -12*l**4 - 1788*l**2 - 66603","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201396 (base 10) in base 11?\nAnswer: 1897290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-105)\/(-14)*(-32)\/(-6). What is the greatest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k)**(3\/2)\/(k**(2\/5))**(-5) assuming k is positive.\nAnswer: k**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2*u + 0*u)*(-3*u**2 + 3*u**2 - 3*u**2) + (-4 + 2 - 4)*(2*u**2 + 2*u**2 - 3*u**2)*(0*u + 3*u - 4*u) - 2*u**3 + 2*u**3 - 2*u**3.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g\/(g\/(g*(g*g\/(g\/(g\/(g*g*g*g**(2\/3))))*g)\/g))))\/g)\/g)**(-19\/4)*g**5*((g**(7\/2)*g)\/g)\/g assuming g is positive.\nAnswer: g**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*q**5 + 4\/7*q**3 - 2\/7 - 2\/7*q - 2\/7*q**4 + 4\/7*q**2 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77449 by 55.\nAnswer: 77449\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.740129ug?\nAnswer: 0.000000000000740129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 1*3\/3. Suppose 4*q + s*c - 37 = 0, 0 = -5*q + 4*c + 32 + 22. What is the remainder when 28 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -45, -125, -319, -669, -1217, -2005?\nAnswer: -3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t + 140. Calculate x(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -16*n - 52. Suppose 49*t - 72 = n*t. Let x = t - -41. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38174, -38228, -38310, -38420, -38558, -38724?\n\"Answer: -14*t**2 - 12*t - 38148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 497612*s**6 + 87*s**3 + 100934374*s**2 + 1.\nAnswer: 59713440*s**3 + 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3185552362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 129*s**4\/2 - s**3 - s**2\/2 + 3*s - 30. Is t(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 217.090881s?\nAnswer: 0.0003589465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 6. Let l(s) = -s + 6. Let c be l(2). Let a = -4 + c. Let t be j(a). Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -211\/2. Find the common denominator of -42\/25 and c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/(-94)*2\/(-4))\/((-17)\/(-2040)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2446 and -13\/5102?\nAnswer: 6239746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764)*2)\/(-1*sqrt(18) - sqrt(2) - sqrt(2)))\/(5*((-1*sqrt(210))\/sqrt(5))\/sqrt(7)).\nAnswer: 14*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*q - 178*q + 100*q + 266*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.523755 + -32.54. Round m to 4 dps.\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 4:57 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10371 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*m + 3*q - 70 = 0, 2619*m - 5*q = 2620*m + 46 for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + sqrt(25)*4*-6)\/(sqrt(500) + sqrt(500)*4 + sqrt(500) + sqrt(500)).\nAnswer: -23*sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -13. Suppose 0 = 3*p + 2*o - 35 - x, o = 2*p - 27. What is the common denominator of -139\/6 and (513\/(-168))\/((-12)\/p)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003938 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 186130129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/7 >= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -117, -280, -501, -774, -1093?\nAnswer: -1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 13467*q - 134662. What is s(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 170 = -132. Let b(o) be the second derivative of 1\/2*o**4 + 0*o**3 - 1\/21*o**7 + 0*o**n + 1\/3*o**6 + 19*o - 7\/10*o**5 + 0. What is z in b(z) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 210.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143443800 and 3200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/13)*b)\/(b*b**11)*(b**(-4))**(-19))**(17\/3) assuming b is positive.\nAnswer: b**(14569\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13 (b) 0.2 (c) -10 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 5)*(-52 - 27*d + 52)*(-2*d - d + 16 - 19) to the form q*d + w*d**2 + m and give q.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -104, -5, 1\/7, -30, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + (14 - 8) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 10) to base 11.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 9:28 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 9*f**2 - 8*f - 12. Let d be j(-8). Let u be (-2)\/d*3*1. Put -2, u, 0.2 in ascending order.\nAnswer: -2, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*w**3 - 44*w**3 - 5*w + 2*w + 6*w**4 - 4*w**4 - w**4 to the form y*w + r*w**2 + f + c*w**3 + b*w**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 23*c - 30 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20262 or 1165?\nAnswer: -20262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 6*a**2 + 4*a - 9. Let j be 94\/(-18) - (-12)\/54. Let s be v(j). What is the units digit of s - (-4 + 2 - 27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1114431 (base 5) to base 6\nAnswer: -232315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 5*g**2 + 10*g. Let u be m(5). Let f be 10\/4*60\/u. Let z = 9 - 5. Solve -z = o - f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -34*c + 396. Let k(x) = 4*x. Calculate 8*k(z) + q(z).\nAnswer: -2*z + 396","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 19. Let i be v(7). Let q = i - -26. Calculate the remainder when 96 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*y + 11042 + 48849. Is 120 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 8*u - 2. What is y(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 94*q + 4211. Give o(-45).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.484 - -0.064. Let m = 46.22 + -46. Let j = a + m. What is the closest to -1 in 0.3, j, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -82, 0.5, -3, 2.\nAnswer: -82, -3, -0.1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 + 95.9. Let s = -478\/3 - -159. Which is the closest to q? (a) s (b) -5 (c) -1 (d) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -92655416?\nAnswer: 92655416.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -481*s**3 + 8*s**2 + 15*s + 2. Let x(k) = 240*k**3 - 5*k**2 - 9*k - 1. Determine 3*w(h) + 5*x(h).\nAnswer: -243*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*q = -5, -4*o + 13 = q - 3. Let m be 2\/7 - (-1 - -1). Is o at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1095 by 5.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 4:05 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 6:12 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5885706 and 24225.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 0.4 (c) -456\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17770 divided by -5?\nAnswer: 3554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 2\/3 (b) -8\/9 (c) 2\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 - (3 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 3)*(1 + 1 - 4) - 1 + 1 - 1 - 1 + 2 - 3)*(-z**2 + 1 - 1).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/9 (b) -2\/5 (c) 0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**4 + 0 - 3\/4*i**3 + 3\/4*i**5 + 0*i + 3*i**2 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 - (-6)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 21. Suppose 3*y = a + 29. Suppose -6*i + 3 = -57. Calculate the remainder when y is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -2. Suppose -v - 6 = -l*v. Suppose z - 14 = v. Calculate the lowest common multiple of z and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*t - 48, s - 3 + 71 = 4*t. Solve -t = 8*j + 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43641?\nAnswer: 3, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*4 + sqrt(2) + -1 + -2.\nAnswer: -3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 93810*j + 6*j**2 - 93810*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50840927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 9*d - 295 = -482, -b - 3*d + 65 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**4\/4 - m**3 - 3*m**2 - 5*m - 7. What is the tens digit of s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111\/5 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -864628122*i**2 + 0*i + 0*i + 864628115*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356*d - 18*d - 59*d**2 + 177*d + 0*d**2 - 260*d**2 wrt d.\nAnswer: -638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y**4)\/(y**(-1\/3)*y)**(1\/26) assuming y is positive.\nAnswer: y**(272\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y - 13. Let u be a(-9). What is the common denominator of (u\/5)\/((-28)\/35) and ((-39)\/(-9))\/(6\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.611482?\nAnswer: -0.305741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4895733695 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -111?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*t + 380, t + p + 2*p + 57 = 0. Suppose -2*d + 40 = -4*v, 20 = -2*d + v - 3*v. Put -2, d, t, -3 in decreasing order.\nAnswer: d, -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -284*c**5 - 5*c**4\/2 - 4*c**2 + c - 2524. Find the third derivative of m(h) wrt h.\nAnswer: -34080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from pzmggzmgzzgmzl.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1519 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 + 194*r**2\/3 - 4982*r\/3 + 4418.\nAnswer: -2*(r - 47)**2*(r - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-5) + (-148)\/(-10). What is the highest common factor of a and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -15. What is the greatest common divisor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y. Let l = y - 3. Put 4, l, 2\/5 in decreasing order.\nAnswer: 4, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 480381.42918 - 480388. Let r = -6.514 - q. Let u = r + -0.058. Round u to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3243 - -2?\nAnswer: -3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 36*i + 16)*(-46 - 54 + 93 - i) in the form t + z*i + h*i**2 and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759 = 262*k + 3695 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**5 - v**5 + 2*v**5)*(-2 - 3 + 7) + v**3 + v**5 - v**3 + (2 - 2 + v)*(-2*v**4 - v**4 + 2*v**4).\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-3 + -865)\/(6 - 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4 + f + 4. Suppose -776 = -i + 1606. Let w(b) = -2379*b + i*b + 3 - 3. Determine v(w(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 7*j**2 + 8*j + 2. Let c be z(8). Suppose -d - p - 15 = -6*p, -c*d + 6 = -p. Put d, -7, -3 in descending order.\nAnswer: d, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1159, -486626 in decreasing order.\nAnswer: 0, -1159, -486626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i = 2*w - 16, i + 5 = w. Let r(b) = -w*b - 2 + 0*b + 5*b. List the prime factors of r(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25915216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 1, s: 5, p: 1, z: 1}. What is prob of sequence mpw?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30984.\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2923 is divided by 28\/(-20) - -1 - (10 + (-604)\/10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in 0.5, -1, 0.130498?\nAnswer: 0.130498","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-120))\/((25\/(-5))\/(3*4)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 65688.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22116, -21688, -21246, -20784, -20296, -19776, -19218, -18616?\nAnswer: -17964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 43*o**2 + 10*o + 9. What is the remainder when 131 is divided by k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2818 and 547.\nAnswer: 1541446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k - k)*(3*k + 66 - 3 - 4*k)*(5*k**2 + 7*k**2 - 23*k**2) + 0*k**4 + 0*k**4 + 2*k**4.\nAnswer: -9*k**4 + 693*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -556 * -1.5\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4755.051 rounded to the nearest ten?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 846 divided by -9\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-64)\/(-6)))\/((-3)\/(-6)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 4) to base 13\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 70*g**2 - 22*g - 5. Let u be d(-7). Suppose -1943 = -n + u. Suppose n = 103*c - 101*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20306 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 316*u**2 + 492*u**2 - 656*u**2. Let y(g) = 2*g. Determine a(y(o)).\nAnswer: 608*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9905394?\nAnswer: 2, 3, 43, 38393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 113, 153, 187, 221, 261?\n\"Answer: g**3 - 9*g**2 + 60*g + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2705, -5431, -8277, -11297, -14545?\n\"Answer: -9*n**3 - 6*n**2 - 2645*n - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, b: 8, e: 1, q: 1}. Give prob of picking 1 e, 2 n, and 1 q.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 15*s - 576 = -25*s - 3*s for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2981048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 - 4*k - 3*k**4 - 5*k**4 - 8*k wrt k.\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 484 = -4*r. Suppose -12 = -4*o, 2*d + 4*o - 30 - 44 = 0. Let n = r - d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1.3565?\nAnswer: -1.6435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2760)\/(-480))\/(233\/232 + -1). Let u = -688 + k. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -485 - -501. Solve -10*f - 6 = -i*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -5. What is the lowest common multiple of i and (3 - 0 - -1)*(44 - 42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 3*c - 1. Suppose 0 - 1 = y. Let f be g(y). Let a(d) = d**2 - 14*d + 43. Let r be a(10). Solve 4*v - 5*i + f = -0*v, -4*v = -r*i - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 111 = -136 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-376*q + 51049 - 51049)*(0 + 0 + 3*q**3)*(6*q - 3*q - q).\nAnswer: -2256*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2.4. Let w = -1.55 - -18.53. Let p = -17.28 + w. Which is the third biggest value? (a) s (b) 0 (c) 0.3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(400\/488)*12\/6?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s - 2. Let z(n) = -45*n + 13. Let i(c) = -6*w(c) - z(c). Determine i(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 44*x**3 + 6*x**2 - 2*x - 3. List the prime factors of o(2).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1666)\/(-16) + -6 + (-1)\/8. Suppose -4*p + w + 210 = 0. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1. Let s(f) = 3*f - 8. Let v be ((-1)\/(-3))\/((-10 - -5)\/285) - 5. Calculate v*m(a) + 3*s(a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/147072 and -17\/1149.\nAnswer: 147072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -29*i - 1. What is the closest to 1 in -46\/7, -1\/4, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2897 - 2896. Sort -0.1, x, -2, 2\/7 in increasing order.\nAnswer: -2, -0.1, 2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, a: 2, n: 5}. Give prob of sequence bban.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + b + b)*(-20 - 9 + 41 - 3 - 4 + 4 - 1 + 0 - 1 + (-6 + 4 + 3)*(-1 - 5 + 5)) + (-2 - 4*b + 10*b + 1)*(5 - 2 - 1) to u*b + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + 13*b - b**4 + 2*b**4 - 12*b + 75*b in the form k*b**4 + t*b**2 + q + g*b + c*b**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/69 in 2\/15, 5, -1\/105683, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4749, 5484, 6219, 6954, 7689?\n\"Answer: 735*c + 4014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 191 or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 3:13 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2763\/11 - -251. Which is the closest to 0? (a) i (b) 2\/5 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182884195?\nAnswer: 5, 13, 216431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/30 + c**3\/3 + 4*c. Let m(x) be the second derivative of b(x). Let v(z) = 2*z. What is v(m(t))?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, w: 5}. Give prob of picking 1 t and 3 w.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 12 = 3*p, 20 = 5*p - h - 0. Solve -p*f + 3*f = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 150 - 67 - 42 - 41 + 2328*y as o*y + q and give o.\nAnswer: 2328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/15 - 21046*o**3\/15 + 42098*o**2\/15 - 4210*o\/3.\nAnswer: -2*o*(o - 1)**2*(o + 10525)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2 = 5. Let m(d) = -d**3 + 2*d**2 + d + 3. Let h be m(3). Let o = 0.04 + -0.24. Which is the third biggest value? (a) o (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -8. Suppose 2*g - 4*t - 8 = -f*t, g + 3*t = 5. What is the lowest common multiple of g and 1 - 3 - 7*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 654\/33 - 6\/(-33). Suppose 0*x + m = -4*x, 2*p = 4*x + 46. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*g + 20, 0 = -m - m + 3*g + 16. Let t be 5\/(0 - m\/(-2)). Is 5\/(t\/2) - -8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1448 + 0)\/((685\/(-20))\/137)\nAnswer: -1\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099687 is divided by 2461.\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22157, -22022, -21877, -21716, -21533, -21322, -21077?\nAnswer: -20792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65\/4 - -16. Let r(p) = -p**2 + 13*p + 32. Let o be r(15). What is the fourth smallest value in o, c, -5, -1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -52. Which is the nearest to x? (a) -4 (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -4*a + 39*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -7 + 1\/6*i**4 - 34\/9*i**3 - 128\/3*i + 80\/3*i**2. Let h(p) = 0. What is p?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3062 or -31260?\nAnswer: -31260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92.2 - 80. Let z = o - 6.2. Is z greater than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-6) - (2 + (-1154)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110470703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1044*y - 2128 = 512*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 1\/((-2)\/((-5)\/((-20)\/(-96))))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 4*o = -204. Solve -3*y - o = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {c: 1, u: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2233221211132 - -10?\nAnswer: -2233221211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15130 = 5*q, 14*a - 47204 + 4930 = -4*q. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 0.1135729521.\nAnswer: -2.8864270479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187987869?\nAnswer: 3, 20887541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 4 + 4)*((2*j + j - 4*j)*(-j + 2*j - 2*j) + 0*j + 0*j + j**2)*(-4 - 2 + 5).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.13 - -8.57. Let w = l - 10. What is the closest to 0 in 3, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/3 + 152*d**3\/3 - 146*d**2 = 0. What is d?\nAnswer: 0, 3, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2*-4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Let g(a) = -a**2 - a + 6. Let n be g(v). Suppose 0 = -4*b + n*b - 38. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9014\/11 and -818 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 21. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 404728\/40 + 165\/(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8856 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 174, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**4 - 2*w**4 + 0*w**4 + w**4 + w**4 + 3*w**4 + (-3*w + 0*w + 0*w)*(0*w**3 - w**3 + 4*w**3).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7183775890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/(-338) - (108\/26 + -1). What is the nearest to k in -2\/5, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125984 divided by -15748.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8139585?\nAnswer: 3, 5, 23, 23593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291284411?\nAnswer: 13, 59, 107, 27919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*a = 10, 0 = 2*f + 2*f - 4*a + 20. Let z(v) = 2*v**2 - v + 2. Let j be z(1). Let g(k) = -k**2 + 3*k - 3. Let u be g(2). Sort u, j, f.\nAnswer: u, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(2\/9))\/r)**7)**(-26))**(-11\/3) assuming r is positive.\nAnswer: r**(4004\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10*d - 174 = 0. What is the remainder when 101 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/5 (b) -117 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 124686.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -15, 4, 23, 42?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*sqrt(3520))\/(sqrt(11) - sqrt(891)*2 - -4*-1*sqrt(11)).\nAnswer: -64*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/360 - m**5\/60 + m**4\/24 - 2*m**3\/3 + 2*m**2. Let y(a) be the first derivative of h(a). Factor y(n).\nAnswer: (n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:33 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 40*d - 27 = 38, -5*d - 15 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 5*a**2 + 2*a - 3. Determine n(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 11*y - 13. Let f be u(9). Let i(s) = 2*s**2 - 4*s - 3. Let q be i(f). Let j be (-102)\/q + 1 - -3. Put j, -4, -0.3 in descending order.\nAnswer: j, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17257142 (base 8) in base 13?\nAnswer: -aaa7c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 2:21 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 728 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f + 5. Let v(m) = -16*m - 20. Let q = 10 - 19. Let c(p) = q*t(p) - 2*v(p). Is c(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**4\/12 - m**3\/6 + 3*m**2 - 2*m. Let j be k(0). Solve b - x + 8 = 3*x, j = -2*b - 2*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-18))\/((-41)\/(28782\/(-21))).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9.94, -3, 3, -2 in ascending order.\nAnswer: -9.94, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6366.6 + -6367. Which is the fourth smallest value? (a) -2\/17 (b) t (c) -1\/18 (d) -2\/3 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1500)\/(-3) - -3)*1 + 2?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7010000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 4*k + 9. What is the remainder when p(0) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 2. Let n = m - 34. Sort n, 3, -13 in decreasing order.\nAnswer: 3, n, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 17*g + 2. Let u(n) = -52*n - 5. Let y(w) = -8*q(w) - 3*u(w). Is y(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/27 and 77\/8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10874351740 and 1908.\nAnswer: 10874353648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.2 (b) -2\/3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 106 = -3*w + 651, -4*c + 16 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + a**3 - 2*a**4)*(2*a - 3*a + 13*a - 1).\nAnswer: -24*a**5 + 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16378073?\nAnswer: 61, 268493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 226.8 + -44.8. Let l = 180 - z. Put -1, l, -16 in increasing order.\nAnswer: -16, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-309)\/6*(-1 - 1). Let q = g - 71. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqfqquu. What is prob of sequence fu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkt when three letters picked without replacement from {k: 11, t: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 9*f + 2. Let n be c(8). Solve -5*u + n*u = 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by -2616.\nAnswer: 23\/872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6f06e (base 16) in base 5?\nAnswer: 104023031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*i*k**4 + 218*i*k**3 + 12*i*k + 126*i - 16*k**3 + 21*k - 4 wrt k?\nAnswer: -996*i*k**2 + 1308*i*k - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 33*r**5\/4 + 1449*r**4\/2 + 20955*r**3\/4 + 12237*r**2\/2 - 14490*r + 2400 = 0?\nAnswer: -80, -5, -4, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + z**3 + z**3 + (z**2 - 4*z**2 + 2*z**2)*(-z + z - z))*(-3*z + 179 - 179).\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2\/7, -19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, z: 1, r: 2, h: 2, s: 1, p: 1}. What is prob of sequence pr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2289 = -4*n + 5*x + 1196, -2*n + 1720 = 2*x. Suppose 0 = 10*g + 455 + n. Let k = g - -133. Let j(v) = -2*v**3 - v + 1. What is j(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -9215.\nAnswer: 3\/9215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*a - 538 = -529, 0 = 5*g - 4*a - 39 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1364*b + 23417 + 16404 = -1099 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**4\/12 - h**3\/6 + h**2\/2 + 3*h. Let u be m(0). List the prime factors of (u - (-3)\/(-15))*15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l - 5*l + 3*l + 2*l**2 + l**3.\nAnswer: l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, -110, 1, 86, -5 in decreasing order.\nAnswer: 86, 7, 5, 1, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -91643, -91637, -91627, -91613?\n\"Answer: 2*r**2 - 91645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Suppose 20*u + 9 = 23*u. Which is the second smallest value? (a) u (b) 15 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 270396, 1081594, 2433594, 4326402, 6760024?\n\"Answer: l**3 + 270395*l**2 + 6*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.08, -1\/5, 7, -5 in ascending order.\nAnswer: -5, -1\/5, -0.08, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(10) - sqrt(90)*3)\/(sqrt(288)*2).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254509 is divided by 50901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/60 + b**5\/10 + b**4\/3 - 4*b**3 + 7*b**2. Factor i(t).\nAnswer: -2*(t - 3)*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 253 + 67. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:16 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 - 21*m**2 - 16*m + 13. What is l(7)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 6 - -5) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 3. Calculate c(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n - 156*n + 4860 = 123*n + 502*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivgnmima. Give prob of sequence ag.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.158039 centuries in months?\nAnswer: 4989.6468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h**2 + 14. Calculate s(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3095?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 26*m - 5. Let y = -2284 - -2286. Give c(y).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6854 = -1692*i + 3298 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 0*n = -c + 12*n - 14, -5*c + 6*n - 32 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.23 - -9.73. Let k = -8.6 + t. Which is the third biggest value? (a) k (b) 35 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**3 + 4*s**2 + 3. Let p be d(-3). Let f be p\/(2\/((-16)\/12)). What are the prime factors of f\/2*(18\/4 + -4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11942*d + 11911*d + 11936*d - 35764*d.\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. Let s(n) = 3*n - r*n + 3*n**2 - n**2. Let w(b) = -5*b. Determine s(w(c)).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/8 (b) -1\/5 (c) 11 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/5 - n**2\/5 - 136*n\/5 - 52 = 0. What is n?\nAnswer: -10, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4085.1055 - 4084. Let q = 1.1 - n. Round q to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768\/896 + 442\/7 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172\/(-1548))\/(1\/(-459)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from eerrrrrzerelrelr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2325 and 1\/186?\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfpnmpj. What is prob of sequence pm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/661749 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 800 = -v - 2*v, -3*y - 1343 = -5*v. Suppose -5*d + v = -4*w, w = 4*d - 60 - 161. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2*n*n*n*n\/(n*(n\/(n*n\/(n\/n**(6\/17)*n)))\/n) assuming n is positive.\nAnswer: n**(91\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 171, 190, 227, 288, 379, 506, 675?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + z + 17, z = -0*x - 5*x + 73. Suppose 3*a = -3*i + a + 16, -4*i + 20 = 2*a. Solve x = -i*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 + -146. What is the hundreds digit of 546 - ((-21)\/(-3) - z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u + 2*u)*(0 + 4 - 2 - 2*u**2)*(-3 + 6 + 3)*(u + 4 - 4).\nAnswer: 12*u**4 - 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/11 (b) -30.3 (c) 15\/4 (d) -12\/13 (e) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4651.44649 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3 = 0, -a - 15 = 5*o - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16\/629 - 1562\/11951. Which is bigger: t or -3.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51835 and 371.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1182642018 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -12 (c) 0.08 (d) 58107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let o be t(3). Let z = -41 - -57. Let s be (-2)\/(-5) + z\/(-140). Which is the biggest value? (a) -2 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flllolfllllzlflolofl. What is prob of sequence oool?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41602 - 94260. What is m rounded to the nearest one thousand?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*g - 3*g - 3*c, -15 = -2*g - 3*c. Let z(n) = -4*n - 4. Let y be z(2). Let m = y - -22. Calculate the remainder when m is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 7:11 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 496, 964, 1438, 1918, 2404, 2896, 3394?\n\"Answer: 3*c**2 + 459*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-16) + (-66)\/8. Sort 5, 4, s in descending order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4540696 by -4.\nAnswer: 1135174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/48)\/((-95)\/57).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 10740610 = -5*m, 0 = 4*a + 5*m - 9*m + 14320792. What is a rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 7. Find the third derivative of 7*f - 2*f**5 + 2*f**2 + f**j - 7*f wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -g + 139, -104*q - 117 = -108*q + 5*g. Solve -q = -29*z - 86 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*c + 28, -4*c = -5*y + 2*y - 28. Let d = c - 2. Solve 16 = -2*s - 4*x, 2*s = d*s + 3*x + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(17) - (-2*sqrt(17) + -3 - sqrt(17)))*4)**2.\nAnswer: 384*sqrt(17) + 4496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -18*n**3 - 36*n**2 - 447*n - 78. List the prime factors of p(-11).\nAnswer: 3, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -27. Let j(q) = 7*q**2 + 4*q. Let g be j(3). Suppose 0 = s*n + n - g. Solve -5*y + 0*y + 2*l = n, 0 = -2*y + 2*l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = z + 137, -1151*a = -4*z - 1146*a - 695. Put 4, 5, z in increasing order.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1379698 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3443 + 10?\nAnswer: 4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + d = 4, -d - 34 = -32. Let z(q) be the second derivative of -1\/6*q**3 + 0*q**b - 4*q**4 + 0 + 18*q. What is the second derivative of z(w) wrt w?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -35*h**2 - 1753*h + 1726. What is w(-51)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1177*l**2 + 2328*l. Let d(k) = -1178*k**2 + 2328*k. Let r(w) = 8*d(w) - 9*m(w). What is the second derivative of r(g) wrt g?\nAnswer: 2338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1345257452 divided by -1276.\nAnswer: -1054277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:42 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 - 128.7. Which is the third biggest value? (a) -4\/5 (b) g (c) -2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 - 0 - -2 - (-11713)\/53 and 80?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 103, 153, 201, 247, 291, 333?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011174394 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -80.7. Let b = l - -7.70000106. What is b rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 3*a - 16 = 0. Suppose a*y - 1 - 15 = 0. Let t(j) = j**3 - 2*j**2 - 7*j + 11. What is the least common multiple of t(y) and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9872.652279 rounded to the nearest one hundred?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.07, -1\/5, 0.2, 5, 32 in ascending order.\nAnswer: -5, -1\/5, 0.07, 0.2, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 - 5*p**2 - 5*p + 1. Let j(f) = -12*f**3 - f**2 + 4*f. Let r(h) = 17*h**3 + h**2 - 6*h. Let c(m) = 7*j(m) + 5*r(m). Give -5*c(v) + 2*q(v).\nAnswer: v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c4 - -5?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2. Let d(g) be the first derivative of 13*g**3\/3 + 3*g**2\/2 - 2032. Calculate j(d(h)).\nAnswer: 676*h**4 + 312*h**3 + 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 43.54 (b) -11 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9 = -1. Let o(v) = v**2 + 5*v + 2. Let b be o(-5). Let x(r) = 2*r - p*r + r**b. Let y(n) = -3*n**2. What is y(x(m))?\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 6*f - 1 = -13, 3*l + 2*f + 12 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -55*s + 1. Let c(z) = 8*z**2. What is a(c(i))?\nAnswer: -440*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p + 52 = 10*p + 20*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -3, -4, 5 in descending order.\nAnswer: 29, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.09 (b) 5 (c) 2\/3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - p - 2. Let y be d(3). Find the third derivative of -4*u**y - 4 + 2 + 4*u**2 + 2 wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (60\/(-5040))\/(20\/666) and -47\/245?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19587 - 4*g**2 + 19587 - 3*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7563411?\nAnswer: 3, 31, 27109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 10*o**2 + 7*o - 3. Let y be b(-10). Let u = 43 - y. What is the remainder when u is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:49 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + n = u - 9, -2*n = -5*u + 15. Let b(q) = -q**2 - 8*q + 33. Let s be b(-11). Let y be (0 + s)*(25\/10 + -3). Solve y*t - u = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4*b - 46 = 0. Suppose -4*c + 155*r + 100 = 159*r, 2*r = 4*c - 118. Let a = c + b. What is the least common multiple of 11 and a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36765 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-12) - 851\/(-222). Solve 0 = -4*s - 24 + y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c + 23. What is d(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12102201 (base 3) to base 8\nAnswer: -7571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 17389, 2, -1 in descending order.\nAnswer: 17389, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124 + 120 - 84*g + 69*g)*(-2*g + 2*g + g)*(-9*g**2 - 26*g + 26*g).\nAnswer: 135*g**4 + 36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 3. Let h be l(6). Let b be 17 + -17 - 1*-2. Let x = b + h. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + 2*t**2 - t. Suppose 4*m = -1 + 5. Let j be i(m). Is (-8)\/(-2) - -1 - j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16688?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, n: 1}. Give prob of picking 1 z and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2675 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2\/17 (c) -19 (d) 0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -374 + 398. What is the highest common factor of 96 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v - 1. Let j(h) = -5*h**3 - 2*h - 7. Let p(t) = j(t) - 2*u(t). What is the first derivative of p(s) wrt s?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 8*t**2 - 5*t - 6. Let l be y(7). Suppose -6 = 6*a - l*a. Suppose 0*d - 84 = -4*d. Solve -h = 5*x - d, a*x = -2*x + 3*h + 37 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722128738 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1867377 and 19548.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -26547, 9, 1 in increasing order.\nAnswer: -26547, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 16439.65.\nAnswer: 16439.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 109*d - 2872. Determine l(27).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7736 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g = 29 - 6. Sort g, -5, -40 in decreasing order.\nAnswer: g, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 267*n**2 + 1640*n - 544. Let u be w(273). Factor -45\/2 - 15*x - 5\/2*x**u.\nAnswer: -5*(x + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(6\/7)*v)**(-17\/6)*(((v*(v**26\/v)\/v*v)\/v)\/v)\/(v*v*v**(-1\/7)) assuming v is positive.\nAnswer: v**(295\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:02 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-42))\/(-5)*(-525)\/(-1500).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 196445 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v + 18. Suppose -4*z = -3*t - 34, 0 = 5*z + 5*t - 34 + 9. Let n be h(z). Is (-3735)\/n - (-2)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1784, 3565, 5346, 7127, 8908?\n\"Answer: 1781*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 4243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7696082 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f + 27. Suppose -12*r = -16*r. Suppose 2*s = -3*t - 3*s + 105, -s - 3 = r. What is the highest common factor of t and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -22 - -9) + -1 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -74?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-4*5 + 4)**2 + -4.\nAnswer: -480*sqrt(19) + 68412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 24*w - 2*v = 15, -4*w = 2*v + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 take away 4205316614800?\nAnswer: -4205316614824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (1 - 1)*-1. Let k = f - 0. Suppose 3 = -k*p + 5. Put 4, p, 3 in descending order.\nAnswer: 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 1118*f + 216 - 65 - 88 + 280*f.\nAnswer: -838*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**9\/126 - 79*s**7\/105 - s**6\/40 + 211*s**5\/60 - 1213*s**2. What is the third derivative of y(d) wrt d?\nAnswer: -480*d**3 - 3792*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9498965 decades in years?\nAnswer: 9.498965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*w + 40*w + 1620 = -31*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160890 - -160851.7841. Let z = w - -0.8295. Let m = 0.0864 + z. What is m rounded to 0 dps?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-2\/3)*u))**(-7))**(2\/31)*(u**(1\/3)\/u**(-4\/3))**(-3\/28) assuming u is positive.\nAnswer: u**(-73\/2604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -18. Solve -3*c + 2*a + 0*a = 0, 0 = -5*c - 2*a - i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196056450 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 360, -13, 4 in descending order.\nAnswer: 360, 4, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54\/5 of a millennium?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877?\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (38 - 100) + 21?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (6 - (-5 - -8))) + -8 + 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*v = -3758 - 1114 for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 + -91786.\nAnswer: -91785.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91162\/(-7197))\/((-4)\/(-18))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/19752 and -59\/288.\nAnswer: 237024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -3*y - 3, 3*x - 3 = -2*x - 3*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/10 + -2 + 4\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 538 = -3*p, 0 = -p + j - 5*j + 185. Let y(i) = -i**2 - 101*i**3 + 0*i**2 + p*i**3. What is the units digit of y(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 1\/2*b**2 + 3 + 0*b. Let s(m) = -18*m. Calculate y(s(o)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -1. Suppose -10 = 12*i - j. Suppose a + 4*q + 17302 = 3*q, a + 17306 = -i*q. Round a to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 6\/45*-3*(-2 - -22). Let w(o) = 7*o + 5. Let t(z) be the third derivative of 11*z**4\/24 + 7*z**3\/6 - 4*z**2. Calculate h*w(a) + 5*t(a).\nAnswer: -a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 54*h**5\/5 + 58*h**4\/5 - 536*h**3\/5 - 256*h**2\/5 + 256*h + 96\/5 = 0.\nAnswer: -3, -2, -2\/27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2203 - 0)\/((-5)\/2). Let u = d + 878. Find the common denominator of -63\/10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1632 + -1616. Which is greater: t or 15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1, -107997 in decreasing order.\nAnswer: 1, -2\/3, -107997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 101 + 25. Let l be (n\/(-245))\/((-2)\/(-5)). Which is the smallest value? (a) 1 (b) l (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = 5. Let j be (-1)\/(-1*v\/3). Let f be ((-22)\/(-4))\/(j\/24). What is the greatest common factor of f and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 - 102*z**2 + 102*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1568356 millennia to decades.\nAnswer: 15.68356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 0 - (11 - 18). Let y(w) be the first derivative of 4 + 0*w**4 + 3*w + 0*w**2 - 3\/5*w**5 + 0*w**l. Differentiate y(t) wrt t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let p(v) = 6*v - 4. Let r(h) = h - 1. Let u(m) = -3*p(m) + 12*r(m). Is u(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(2)*-2 + (sqrt(2) + (sqrt(450) - sqrt(2)))**2.\nAnswer: 6*sqrt(2) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 20 = -5*j, 4*j + 3*i = 12 - 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -14450?\nAnswer: 14468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 6 (c) 1\/2 (d) 4 (e) 137 (f) 367\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 598 - 596. Solve -i + 5*t + 8 = 0, 0 + o = -t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 17*j**2 + 9*j - 127. Give k(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/13 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019676177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6136309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 + 92.8. Sort g, 2, -25.\nAnswer: -25, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-413)\/56 - -7)*2)\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2706 + 2719. Calculate the greatest common divisor of 1872 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**7\/168 + 7*i**6\/72 - 17*i**5\/24 + 15*i**4\/8 - 29*i**3\/3 - 48. Let v(u) be the third derivative of b(u). Solve v(q) = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*p - 8*p**3 - 5*p - 3*p - 4*p**3 - 8*p - 7*p**4 in the form y*p**4 + c*p**3 + q*p + b*p**2 + t and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -273273 divided by -33?\nAnswer: 8281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8037 divided by -3?\nAnswer: 2679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27843 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*s**3 - 21*s**3 + 33*s**3 + 18771 + 3*s**3 - 18771.\nAnswer: 89*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800.2388mm to nanometers.\nAnswer: 800238800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - f - 3 = 0, 3*a + 6*f = 8*f - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265525726?\nAnswer: 2, 37, 71, 240869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -156*u - 9. Let x be t(-6). Let j = x - -1202. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24674 + 20154 = 226*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 142193160 * -0.3\nAnswer: -42657948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17979 divided by 1279.\nAnswer: -17979\/1279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -40. Let o be (2\/r)\/(3\/9). Which is the biggest value? (a) 2\/7 (b) 2\/21 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*q + 18, -5*q = -5*s + 19 + 11. Suppose -s*a - 20 = -2*r, 2*a + a - r + 38 = 0. Let u = a + 16. Solve 10 = -4*t - x, -5*t - u*x = -5*x + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000111100010 - -1101?\nAnswer: 1001000111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38498, 76995, 115492, 153989, 192486?\n\"Answer: 38497*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 388465036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -4*d**2 + 1829. Let q(x) be the first derivative of 21*x**2\/2 + 1. Determine q(t(n)).\nAnswer: -168*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 107*m**5\/60 + 107*m**3\/6 - 335*m**2. Differentiate v(p) with respect to p.\nAnswer: 214*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and ((-99)\/(-2))\/(2\/4)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -5*r**4\/6 - 2213*r. Let u(w) = 2*w**2 - 2*w**2 + 3*w**2. Give p(u(f)).\nAnswer: -90*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z - 6. Let k(o) = -5 - 3*o - 10*o + 17*o. Let y(w) = 3*c(w) - 4*k(w). Let x be y(2). Solve -3*g + 5*i - 14 = x, -3*g + 0*g - 4*i + 22 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-3))\/2 + (-49)\/21. Put 69, 9, w in ascending order.\nAnswer: w, 9, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30844910 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 + -20020013103?\nAnswer: -20020012300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32195 + 32264. Suppose 0 = -a - 27 + 211. What is the highest common factor of z and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*b + 313*b - 82*b - 75*b - 69*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*z - 6, -2*w - 2*w + 5*z + 26 = 0. Let i(p) = 7*p - 5. Let d(r) = -3*r + 2. Give w*i(k) + 9*d(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*2\/((-2)\/(-1)). List the prime factors of 225\/20 - (-2)\/j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/16848 or 12?\nAnswer: 1\/16848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 21*t + 38. Determine q(-14).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/6 - 155063*c**3\/3 + 4007525702*c**2 - 16029430875*c + 24043913721\/2 = 0.\nAnswer: 1, 3, 155061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -50114, -1 in descending order.\nAnswer: 3, 2, -1, -50114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 109426519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/33 - -2\/11. What is the closest to -1\/3 in t, -3, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -1)\/(4\/6). Let i(u) be the first derivative of 1\/2*u**2 - 1\/2*u**4 + 0*u**j + 4 + 0*u**5 + 1\/6*u**6 + 0*u. Factor i(r).\nAnswer: r*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -m - 41, -2*u - 47 + 19 = 2*m for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654843742 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33379*h + 3597*h + 43412*h - 19879*h + 16453*h.\nAnswer: 76962*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32291843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -553 - 231 = -8*i. Suppose -364 = -3*o - 2*v + i, -o = -v - 154. What is the greatest common divisor of 88 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160311289 divided by 2897\nAnswer: 55337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, 0.3, 27\/28 in decreasing order.\nAnswer: 27\/28, 0.3, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 0.8\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78093 and 4257.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1 + 0 + 3 - 3*x - 1 - x**2. Let z be f(-8). Let r = -15 - z. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 733035776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -600.05 - -600. What is the nearest to -0.1 in 2\/5, -2\/11, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*n**2 + 18*n**2 + 11*n**2)*(-3*n + 0*n - 3 + n) - 3*n**3 - n + n to the form u*n + i + d*n**2 + k*n**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 19*o. Let u(y) be the first derivative of -y**2\/2 - 51*y + 2487. Give u(w(g)).\nAnswer: -19*g - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60057 - 60033. Let q = -2 + 29. Is q > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -48. Let l be w\/32 + (-1)\/(11\/28). Does -1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -19*r - 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 11\/47668 (c) -1\/308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 n when four letters picked without replacement from {f: 4, n: 7, r: 1, c: 6}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4 - 62*l**3 - 271*l**2 + 452*l + 660 = 0. What is l?\nAnswer: -5, -1, 2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 84 = -82 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Suppose 0 = 2*v + n, 0 = 4*z + 4*v - 5*v - 61. Let h = z + 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 49, -952, 4 in decreasing order.\nAnswer: 49, 9, 4, -952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/960 and -49\/120.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595, -1199, -1809, -2425?\nAnswer: -3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22846 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -7 + 8 - -6) + (2 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5) + 2 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 1, f: 1, t: 1, q: 1, e: 1}. Give prob of picking 1 t, 1 e, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wahrhjjhhjhhhr. What is prob of picking 1 j and 2 r?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z - 2 = 0. Suppose f - d + 4 = -6*d, 0 = z*f - 3*d - 31. Let u = 20 - f. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54046 + -3056. Suppose -g - w + 18503 = 0, 2*g + w - a = -13987. Round g to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 4*m**6\/5 + m**5\/10 + 715*m**4\/12 - 288*m. What is the third derivative of s(r) wrt r?\nAnswer: 576*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022882233 to four dps.\nAnswer: -0.0229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((120\/(-18))\/5)\/(1\/(-6))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.724 and 1.2.\nAnswer: 2.0688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, 1 n, and 1 y when four letters picked without replacement from byinv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/8 and 53\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + sqrt(405))*-5)**2.\nAnswer: 450*sqrt(5) + 10150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 53 = -3*y + 3*l, -3*l = -3*y + 75. What is the smallest common multiple of 6 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4373*t**3 + 15*t + 14. Is 42 a factor of n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(56)\/(sqrt(7)*1)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (2\/4 + (-21)\/(-14)). Put o, -2784\/11, 5 in increasing order.\nAnswer: -2784\/11, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 8 = -5*f, 0 = -4*b + 2*f + 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2091*i - 4833 = -2270*i for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -91\/444215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -30*d**4 - 50*d**3 - 8*d**2 - 6*d - 6. Let n(k) = k**4 - k**3 - k - 1. Let m(a) = -6*n(a) + x(a). Factor m(f).\nAnswer: -4*f**2*(f + 1)*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*c + 2 - c + 3 - 3 - c - c + 0*c - 4*c + 4*c + c + (0*c + c - 3*c)*(1 - 4 + 1) + 3 - 3 + 2*c + 0*c + 3*c - c + 49*c + 23*c + 32*c.\nAnswer: 112*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1564 divided by 17\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2203281 is divided by 100149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)\/z)\/(z*z**(-4\/9)*z))**(-1\/15) assuming z is positive.\nAnswer: z**(32\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -n - 20, 2*x = -2*n - 4 - 4. Let f = -96\/7 - -100\/7. Is n at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 14 = i. Calculate the remainder when 27 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -59*g**5\/20 - 69*g**2 - 3*g + 1. What is the first derivative of j(w) wrt w?\nAnswer: -177*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(13\/(13\/(-2))))\/(66\/(-132))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*n**5\/2 + 36043*n**4\/2 - 328771*n**3 - 3423064*n**2 + 3715584*n + 18432 = 0.\nAnswer: -8, -2\/405, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20100 - 10?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1a?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - 2*m**4 - 2*m**3 - m + m - m**4 + (m**3 - m**3 - 2*m**3)*(6*m - m - 3*m) + 3*m**4 - 6*m**4 + 4*m**4.\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.65. Let k = -0.05 - f. Let v = k - -0.5. Which is the nearest to 1? (a) -3\/4 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3451 and 119?\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 10:48 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -21, -78, 59, 5 in descending order.\nAnswer: 59, 5, -21, -37, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (10 + -5) - -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -6\/7, 121.\nAnswer: -6\/7, -3\/8, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1525 (b) 2\/11 (c) -30.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*m - 141*m = 34*m + 9922 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, -78\/11, 1, -6 in descending order.\nAnswer: 1, -0.1, -1, -6, -78\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4288 + -0.0573. What is x rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/10)\/(1\/(-2)). Suppose 3*n + 0*y = 4*y + 130, q*y + 160 = 4*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*g**3 + 7*g + 31*g**3 - 3 + 24*g**3 to a*g + l + j*g**2 + x*g**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 4:33 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4004 + -2110110\/527. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*x**6 - 19*x**5 - 219*x**3 + 1795740*x**2.\nAnswer: -4320*x**3 - 1140*x**2 - 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.5 (b) 6 (c) -218.888\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*m + 2. Suppose -3*s + 0*s - 2*j = 44, -m*s = -4*j + 32. Let a = -214 - -203. Is s less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1)*(-5)\/(-3). Let w(h) be the first derivative of h**3\/3 - 4*h**2 + 6*h - 1. Calculate w(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.804445l in millilitres?\nAnswer: 8804.445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66096 and 1450305?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299\/1386 - -1\/154. Which is the nearest to 2\/5? (a) -1 (b) 0.2 (c) 4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-4))*o)**(-1\/15)*o**(-4\/17)*o*o**28 assuming o is positive.\nAnswer: o**(1450\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i + 440. Let s be d(0). Let v be ((-1)\/12)\/(-5*(-33)\/s). Put 4, 27, v in ascending order.\nAnswer: v, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**2\/7 + 33513*k\/7 + 1716966\/7 = 0.\nAnswer: -51, 11222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-2061)\/(-12) + (-17)\/(-68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*(sqrt(304)*2 + 5))**2.\nAnswer: 2496*sqrt(19) + 44452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -554530000 to the nearest 1000000.\nAnswer: -555000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1911 - (-2)\/((-6)\/9). Suppose -j = -5*b - w, 2*w - 5*w = -9. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3328587 divided by -5\nAnswer: 3328587\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = 0, 2*t + 1 = 3*o + 37. Let u(f) = -t*f**3 + 1 - f + 3*f + 13*f**3. What is u(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c. Let g(o) be the third derivative of 89*o**5\/60 + 3*o**3\/2 - 16*o**2 - 3*o + 2. Determine p(g(b)).\nAnswer: -356*b**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 249678*v**2 - v + 249678.\nAnswer: (v - 249678)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 3*h + 1. Let m(b) = -99*b**3 + 24*b**2 - 36*b - 15. What is 12*a(r) + m(r)?\nAnswer: -99*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -0.114 (b) 2 (c) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -109?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y + 2. Let j be x(-2). Let d be 4\/(-10) - (-42)\/j. Which is the third biggest value? (a) d (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 334 + -22. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-2*i**3 + i**3 - 4*i**3) - 3*i**3 - 2*i**3 + 8*i**3 + (i**2 - 2*i**3 - i**2)*(-4 + 3 - 1) + 3*i**2 - 3*i**2 + 2*i**3.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11+4.139\nAnswer: 15.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 6 + 2, 5*j = 5*k - 35. Let n(v) = 5*v - v - k*v + v. Let t(m) = m**2 + m. Let q(h) = -11*h. Let c(u) = q(u) + 11*t(u). Calculate n(c(i)).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 219494*d**4 - 21*d**3 - 2630369 wrt d?\nAnswer: 877976*d**3 - 63*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m + 2*m - m**2 - 7 + 16. Let b be r(8). Is (b\/2)\/(2\/44) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 32. Let r be x(14). Which is the closest to 2\/11? (a) 3 (b) r (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*z + 8, 3*z = -7*s + 3*s + 65. Calculate the common denominator of (-1)\/((-12)\/(-127)) + 2 and (s\/(-56))\/((-6)\/(-236)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-1)*14\/21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/850 and -53\/1190.\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-3)*(-396)\/3168?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 68*c - 30*c - 36*c. Let k(i) = 34*i. Give v(k(p)).\nAnswer: 68*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 14 - 553\/(-42)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 2040.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s = 81 + 143 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(912)\/sqrt(3).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -68*g - 46. Let q be j(-2). Suppose -2*l + 64 = -56. Calculate the highest common divisor of q and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 7.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.1634 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77567835 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83141 + 83141 - 7301*g.\nAnswer: -7301*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1\/342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(4 + 0 - 2)*(4 - 1 - 2)*(2*q - q - 5*q).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjjk when four letters picked without replacement from kjjz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - 12*t + 8. Let l be k(-6). Suppose -l*b - 49 = -15*b. What is the greatest common divisor of 28 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 616544, 1232773, 1849002, 2465231, 3081460, 3697689?\nAnswer: 4313918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.395757 milligrams?\nAnswer: 4395.757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1 + 6*c + 6 - 1 + c**2. What is the smallest common multiple of 10 and a(-7)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 108*v - 929. Calculate c(98).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-114)\/12*2\/3 and 11\/((-330)\/(-24)) + (-721)\/320.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545.826 nanometers in kilometers?\nAnswer: 0.000000002545826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 - -76. Let t = -1.3 - -1. Which is the third smallest value? (a) t (b) 0.4 (c) s (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -105*o**2 - 2753*o - 11138. What is k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 4) in base 16?\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*f - 6, 0*f + 2 = q + f. Suppose -q*i = 2*i. Suppose -669*v + 708*v + 117 = 0. What is the smallest value in i, v, -1\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -154, -262, -368, -472, -574?\n\"Answer: y**2 - 111*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 62360349 and 0.4?\nAnswer: 62360348.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:59 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 1:45 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 7*t = 0. Let g be t\/(6 - 3 - 1). Suppose 4*y + 4 = -4*u, 3*u = -4*y + 3*y - 1. Is g > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 8*g**2 - 2*g - 3. Let s be y(-4). Suppose s*r + 0*r = 25. Suppose 3*n - r*b - 2057 = 0, 2*n - 8*b - 1368 = -3*b. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**3 - 2*a + 3*a + a**3)*(-14 + 13 + 25) to the form q*a + n*a**2 + b + f*a**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)\/(21\/42). Let a(z) = 0 + 7*z + 2 + 70*z**3 - 69*z**3 + 7*z**w. Determine a(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 - -0.02. Sort y, 3, 0.3 in increasing order.\nAnswer: y, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 1245152?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -1, 39, 95, 167?\n\"Answer: 8*o**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5827 + 4\nAnswer: 5831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14\/(-8))\/(6\/30) and 39\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-1) + 13803\/1032?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -3761, 65, -3, -4 in descending order.\nAnswer: 65, 0, -1, -3, -4, -3761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 38*n**2 + n - 4. Determine w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8933697836 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.41, 3\/7, -4 in decreasing order.\nAnswer: 3, 3\/7, 0.41, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -2. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 106*g - 18. Let y be l(-3). Let o = 105 - 191. Let r = o - y. Round r to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21830 to the nearest 100.\nAnswer: 21800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/(-8)*-1)\/((-1)\/13*91\/(-14)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/199?\nAnswer: 1\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22675728 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 6. Let i(f) = -31*f**2. What is p(i(t))?\nAnswer: 62*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -6*j + j, 46*w + j = 48*w - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -14*k - 30. What is the nearest to -2\/7 in 0.09, 5, k?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 6 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 559571267415\nAnswer: -559571267429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90480 and 1545990?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199*b**2*o**3 + 25*b**2 - 2*b*o**2 + b*o - 2*b - 88*o**3 wrt b?\nAnswer: 398*o**3 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w + 124. Let y be x(-11). What is the remainder when 19 is divided by ((-15 + 11)\/(-16))\/(1\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 10*v + 5. Let b be h(-10). Suppose 2*g = -5*c + 57, 3*c - b*c = 2*g - 24. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -43*y**3 - 11*y**2 + 31*y + 110. Is f(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2065 = -8*s + 3*s, -1235 = -3*s + 2*l. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/36*21*(-120)\/(-42)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38, 22, -8, -58, -134, -242, -388, -578?\n\"Answer: -p**3 - p**2 - 6*p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 273.8 + -274. What is the third smallest value in -2\/7, 2\/47, a?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + -128b771?\nAnswer: -128b788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34590323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/21)\/(i\/i**(1\/14))*(i\/(i**3*i*i))\/i**(-5\/4) assuming i is positive.\nAnswer: i**(-317\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - x + x)*(-1 + 5 - 2) + 5*x**2 - 3*x**2 + 0*x**2 + 0*x**2 - 4*x**2 + 2*x**2 + (7*x - 14 + 14)*(5*x - x - x).\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175.3 + 17.3. Let n = -76 - i. Let p = n - 82.00039. Round p to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -347, -348, -351, -356?\n\"Answer: -z**2 + 2*z - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 2 - (-33 + 46)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 5)*(60*a + 38*a + 85*a)*(3 - 1 + 0).\nAnswer: 1464*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b - 2. Let l be (b\/(-1) - 2)\/1. Let w = -8 - l. Is w < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11837 and 5453.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00164516 to six dps.\nAnswer: -0.001645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -77*x + 999. Let n(m) = -108*m + 1499. What is 5*n(p) - 7*v(p)?\nAnswer: -p + 502","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -199, -404, -609?\n\"Answer: -205*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1646 - -18104\/11. Let a = 4.8 - 5. What is the closest to a in 3, r, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2164632*r. Let t(o) = 2*o**2. Determine w(t(p)).\nAnswer: 4329264*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-12))\/((-3)\/(-12)). Which is the second smallest value? (a) -0.2 (b) -11 (c) m (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23366, -331, -29 in increasing order.\nAnswer: -331, -29, 23366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (4 - 1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10779\/1817 + -128\/23. What is the common denominator of c and -47\/25?\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*-2 - (1 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 4. Let o be b(3). Let c(l) = -l + 1. Let g(q) = -q**2 - 2*q + 2. Let i(n) = -2*c(n) - g(n). Give i(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -73241, -73264, -73309, -73382, -73489, -73636?\n\"Answer: -q**3 - 5*q**2 - q - 73234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o. Let l(j) = j**2 - 3. Let s = -7 - 15. Let t(i) = -4*i**2 + 11. Let k(n) = s*l(n) - 6*t(n). Determine k(x(u)).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10021122221012 (base 3) to base 5.\nAnswer: -421321202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = a + 44, -3 = -4*a - 2*u - 179. Let s = a + 100. What is the greatest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2955*b**2*t*y + 8207*b**2 - 8*b*t*y - 3*t*y - 2*y wrt t.\nAnswer: 2955*b**2*y - 8*b*y - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -12623 and -12774 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -274*235\nAnswer: -64390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*q + 0*q = 151, -3*l + 111 = -3*q. Suppose 21*a - 25*a = -32. Calculate the highest common divisor of a and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offipppvpfp. Give prob of sequence iv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -20, 5, -5, 36 in ascending order.\nAnswer: -20, -5, -2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-105)\/55) - 12\/(-18)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53168367*h + 47960009 with respect to h.\nAnswer: 53168367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*r + 317 = 0, -5*r = -5*d - 0*r + 320. What is the hundreds digit of -11 - (-679)\/d - 3550\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 761 (b) -5\/2 (c) 1 (d) -0.4 (e) 5 (f) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b - 4. Let l(s) = -s - 1. Calculate -d(f) + 2*l(f).\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/o**(-12))\/o)*o*o**(-1\/15))\/(o\/(o\/(o*o\/(o**(-2\/3)\/o*o))))**(1\/63) assuming o is positive.\nAnswer: o**(-9553\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4651057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 129, 362, 793, 1482, 2489, 3874, 5697?\nAnswer: 8018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2880 and 5094.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220222 (base 3) to base 4.\nAnswer: 22202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76509391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1023891 divided by 1023891\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 1404?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2305797487 + 2305797487 - 11*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 0*d + d)*(124*d + 1186 - 589 - 596) in the form g + m*d + a*d**2 and give a.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let t be l(9). What is the second derivative of -3*k**3 + t*k - 12*k**3 - 9*k - 8*k wrt k?\nAnswer: -90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836 = w + 3*s - 4*s, -5*w = 4*s - 4144. Suppose 5*z - w = 3*z. Suppose -7*i - 59 = -z. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**4\/4 + 8*c**3\/3 - c**2\/2 + 10*c - 1728. Give r(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -3 (b) -5 (c) -0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 7*c - 14. Let j(u) = -6*u**2 - 90*u - 294. Let h be j(-10). Give x(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-11))\/(-1)*(-6)\/(-123)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.032 and 4.\nAnswer: 4.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*l + 8*l - 3834, 3819 = 4*l - 5*v. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*h + 66*h = 0. Suppose -l + 3 + 2 = h. Solve 4*k = -f - 18, -k = -2*k - 5*f + l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2\/6 + 55615*d\/6 + 1609395.\nAnswer: -5*(d - 11294)*(d + 171)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/5 + (-2 - -1). Solve -d*g = -3*s + 21, 3*s - g = s + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19865.384 rounded to the nearest 100?\nAnswer: 19900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-3 + 9) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4378\/(-597))\/((-4)\/18)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 4*z**2 + 3*z - 6. Let h = 30 - 26. Calculate b(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 80, 41, 3, 4 in ascending order.\nAnswer: -5, 3, 4, 41, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 183?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efepjjefpepjepp. What is prob of picking 4 p?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 167685 and 77?\nAnswer: 1844535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 10) + -4 - -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -18*w**2 - 210*w + 4. What is p(-11)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2.81, -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -490?\nAnswer: -7350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-2)\/z))\/(z**(-1\/17)\/z)*z**2\/z**(-1))**(-1) assuming z is positive.\nAnswer: z**(-137\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 825577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 1342 = 4*j - w, 5*j + 2*w - 1726 = 0. What is the smallest common multiple of j and 3045?\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 5, 1\/4, -1, 8363 in decreasing order.\nAnswer: 8363, 5, 0.5, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2685, 2731, 2791, 2871, 2977, 3115, 3291?\nAnswer: 3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - ((-1 - -2) + -6))\/14. What is the second smallest value in a, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27736 in -0.4, 15, -3\/10, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 0*d**3 - 6*d + 1\/21*d**7 + 0 + 7\/6*d**4 - 1\/5*d**6 - 1\/10*d**5 - 4*d**2. Determine a, given that t(a) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 7*s - 15. Let q(r) = 3*r**2 - 10*r + 22. Let w(u) = 7*k(u) + 5*q(u). Let c be w(-4). Solve 6*y + c = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-1)\/5*2). Let r be 1098\/244*((-48)\/(-27))\/4. Which is the fourth biggest value? (a) p (b) -0.03 (c) -2\/5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003528623 rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.570501 litres?\nAnswer: 2570.501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g*g*(g\/g**(-4))\/g*g*g*g))\/((g\/g**(-5\/9)*g)\/g))**(-41))**(-2\/163) assuming g is positive.\nAnswer: g**(-6314\/1467)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3348 = 8*y. Suppose -2*j + y = 3*b, -5*b + 5*j = 3*j - 1411. List the prime factors of b.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84857?\nAnswer: 84857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 12*j**2 - 13*j + 125. Let y be b(13). What is the highest common divisor of 31 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142233*i**6 - 87*i**2 - 165*i.\nAnswer: -17067960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37010 (b) 164 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 1413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - (-42)\/9)\/((-2)\/24573)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 13*j + 433. Let r be s(-33). Let a(l) = 12*l + 2. What is a(r)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*h**3 + 602\/3*h + 200*h**2.\nAnswer: -2*h*(h - 301)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7408.018 - -7434. Let a = q + -26.1. Sort -2\/9, a, -4\/5 in descending order.\nAnswer: a, -2\/9, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (141579 - 141579 - 354*d + 2*d**2)*(-7*d**2 + d**2 + 3*d**2) as o*d + a*d**3 + b + t*d**2 + h*d**4 and give a.\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1992 and 57021.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -123. Calculate the highest common divisor of q and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(99) - (sqrt(99) + 1*sqrt(99)))*-1*-2)\/(sqrt(729)*2*-2*3))**2.\nAnswer: 11\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-12) + 26\/6. Let y = 70.1 - 64. Let a = 6.1 - y. Sort l, a, -4 in descending order.\nAnswer: l, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + 3 + 1 + sqrt(9072) + (-1 + sqrt(9072))*3 + -2)**2.\nAnswer: -1152*sqrt(7) + 145168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1274676 centimeters in meters?\nAnswer: 0.001274676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 297 + -282. Calculate the remainder when 131 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Suppose q*h = 2291149 - 14691149. What is h rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -2*m + 261. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-10005365.\nAnswer: 40021460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*i**2 - 32\/3 + 4\/3*i.\nAnswer: (i - 4)*(i + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1709695 is divided by 309?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*c + 35, -4*r + 6*c = 3*c - 28. Solve -r = 4*x - 5*w, 3*w = 4*x - 8*x + 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d = 30*d. Sort d, 13, -5, 4.\nAnswer: -5, d, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.625142 kilograms?\nAnswer: 6625142000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3460145\/8073639 + -2\/1153377. Factor 9216\/7*m**2 + 288\/7*m + k + 98304\/7*m**3.\nAnswer: 3*(32*m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 e when four letters picked without replacement from eieiyyeyyeeyy?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g + 4. Let y(r) = -5*r + 1 - 9*r - 9. Let z(m) = -5*d(m) - 2*y(m). Let a(c) = -8*c - 5. Let u = 216058 + -216062. Determine u*a(f) + 5*z(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 162*d**2 + 7 - 1014*d**2 - 2*d + 7. Let b be h(13). What is b rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 58 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151109414 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l. Let a(u) = -2*u**2 - 4. Determine a(n(x)).\nAnswer: -32*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196835, 196833, 196831?\nAnswer: 196829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -11, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-280)\/(-14) - 0\/2. Find y such that y**5 - 10*y**4 + t*y**4 - 6*y**4 + 0*y**5 - y**3 - 4*y**2 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twutp. Give prob of sequence pwu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 18*i + 3. Let s be m(18). Suppose 5 = -3*r + s*a - 1, -3*r = 2*a + 6. Calculate the common denominator of (-169)\/72 + (r\/(-9))\/1 and 93\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4507 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**6\/5 + 15*y**2\/2 - 6*y. What is the first derivative of p(v) wrt v?\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 25 = -0*h. Let v(z) = -z**3 + 0 - 1 + 2 + 5*z**2 + h*z + 1. Let w be v(-4). Calculate the highest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, 1\/3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - b. Let s be 4\/10 - 99\/(-15). Let n(v) = v**3 - 8*v**2 + 7*v + 5. Let l be n(s). Solve 3*r - 23 = l*u + 7, 4*r - 20 = b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**2 + 6*o + 5. Let c(j) = -12*j - 59. Let x = -102 + 97. Let i be c(x). Let u(r) = -r**2 + r + 1. Determine i*q(v) - 4*u(v).\nAnswer: -2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t - 4*o + 5, 3*o = t + 4. Let g be t*-2*(-2)\/16. Let u be 5\/(3\/(-6)*2). What is the smallest value in u, 2\/3, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1008) + -1 + sqrt(1008) + -4 + sqrt(1008) + (2 + sqrt(1008))*-6)**2.\nAnswer: 1296*sqrt(7) + 9396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 14*p**2 - 582*p + 285*p - 7*p**2 - 2*p**2 - 713*p = 0?\nAnswer: 0, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*v - 23*v - 4 - 435*v + 3 - 2.\nAnswer: -761*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 4, 3\/5, -0.02, 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6*o = 3*o + 39, 33 = 3*i - 3*o. Solve 0 = i*h - 7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2 - 698*a - 1388 = 0.\nAnswer: -347, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.202 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3 = 2*k. Suppose 7 = 4*c - 9. Solve c = b + k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {y: 1, c: 2, d: 6, s: 1, m: 3}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15421, 30700, 45979?\nAnswer: 61258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 2, y: 4, e: 3, g: 2}. What is prob of sequence qy?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2 + 4 + sqrt(99) + -3 + -2*sqrt(99))**2.\nAnswer: -18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20130 = -68*c + 190*c. Calculate the remainder when 433 is divided by c.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1625*i + 548*i + 537*i - 3*m - 6 = -545*i + 1, m = -4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 6*l + 6. Suppose j = 3*j - 5*a + 21, a + 5 = 5*j. Let m = -4 - j. What is the lowest common multiple of 2 and p(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.867 - 0.5082. Let s = k - -0.0412. Sort 0.05, -5, s, -2\/5 in descending order.\nAnswer: s, 0.05, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10367 - 20?\nAnswer: 10347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*u + 19, 4*u = -0*x + x + 2. Let i be -3*(8\/(-6) + 0). Suppose i*f = 3*f + 10. What is the greatest common factor of f and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 0*y + 5668 - 5667 + 0*y + 193*y**3 in the form r*y**3 + l + c*y**2 + b*y and give r.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*s - 3*f + 47, 4*s + 48 = 4*f. Let a(j) = -3*j**2 - 24*j + 15. Let t be a(s). Does 21 divide ((-2)\/(-3))\/(-5 + (-902)\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 35108.\nAnswer: -27\/35108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 645062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*k - 2251, 4*m - 5*k = 2*m + 1469. Let p be 4\/(-6) - 3765\/225*-5. What is the highest common factor of m and p?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93.3 + -97.3. Put d, 5, 1\/6, 1\/4 in descending order.\nAnswer: 5, 1\/4, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 2246.\nAnswer: 17\/2246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stst when four letters picked without replacement from {t: 3, s: 12}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1778897)\/1067367 + (-5)\/(-3). Let c = 9689913223\/4269468 + z. Let q = c - 2268. What is the common denominator of 59\/24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k. Let t(s) = -449*s**2. Determine z(t(o)).\nAnswer: -3592*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 39440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:45 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 11. Let c be f(-15). Let w be 2 + -1 + -1*1. Suppose 24 = 4*o - w*o. Solve c*v + o = 3*v + 5*r, -r = -4*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -574202*k**3*q**3 - 2*k**3 + 40776*k**2*q**2 - q wrt q.\nAnswer: -3445212*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 5. Let t be b(5). Suppose t*r - 323 = -103. Let j = -35 + r. Are 7 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - i**2 + 0)*(288 + 389 + 291)*(4*i + 2*i - 3*i).\nAnswer: -2904*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*a + 9. Let f(o) = 4*o**2 - 5*o + 2. Let r be f(3). Let q = r + -3. What is the remainder when q is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 9*g**2 - 9. Let f be x(-9). Let r be (-60)\/(-3) + (-5 - f). Suppose r*d + 2520 = 20*d. What is d rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -1160bc?\nAnswer: 1160b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1100110?\nAnswer: -1100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7418 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.274 (b) 21 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 337308883913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -466, -809, -1224?\nAnswer: -1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 99. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q - 18 = 48*q. Solve 0*o = q*o - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*i + 15 = -2*g - 95*i, -3*i = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 10 + 10 + 0*c. Determine d(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:57 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1081513157 to the nearest integer?\nAnswer: 32886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*m - 20. Let x be (-4)\/m + (-32)\/(-10). What is the first derivative of 2*t**3 - 4 + 5 + 0*t**x wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 577927, 578321, 578715, 579109, 579503?\nAnswer: 579897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - f = -w + 4, -8 = -4*w + 2*f. Suppose -4*o + 33 - 4 = g, w = g - 4*o + 11. Solve 0 = -9*i + g - 54 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -8, -3, -0.1, 3 in increasing order.\nAnswer: -8, -3, -0.2, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, 1, 20, 3, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*z = 2537 + 847 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.8314 rounded to 1 dp?\nAnswer: 30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90.806 - -91.106. Let u = 6.6 - 0.6. Which is the nearest to -1? (a) u (b) y (c) 6\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 19\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.165212 rounded to one decimal place?\nAnswer: -54.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.23 - -0.03. Let y = 32.2 + i. Let d = y - 32.00000068. Round d to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*j + 40 = 0, -2*j + 0*j - 32 = -4*l. Let i be 1\/2 + (-130)\/20. Is 9 a factor of 66\/l + i\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l - 11*l - 3*l + 2*l - 19*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1234\/23789?\nAnswer: 1234\/23789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33434 is divided by 1338?\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 3263.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 3*b - 269. Does 37 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = -3*t - 200 + 242 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 4, 1, 5, -719 in decreasing order.\nAnswer: 54, 5, 4, 1, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60917439*z**4 + 4129524*z**2 wrt z?\nAnswer: 1462018536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*g + 1 + 9 = 0, 0 = 4*g - 4. Let x(t) = t**2 - 7*t - 52. What is the lowest common multiple of b\/(-2)*-17*-2 and x(12)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14249 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1255 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/90 + (-2)\/(-90) + (-742)\/490.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.239889 decades to centuries.\nAnswer: 0.6239889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgsozleo. What is prob of picking 1 l and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4 in decreasing order.\nAnswer: 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23156162 to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*(3\/9 - 0). Suppose -r*v = -4*x + 5, -12 = -4*x - 0*v - 4*v. Let o be 4\/10*(-1 + x). Which is the closest to -2? (a) 2\/3 (b) o (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6 + 4 + -3. Let n = -71 + 68. Which is the closest to x? (a) -0.3 (b) n (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101010 by 1.\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 136927097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:42 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 8) to base 3.\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**4\/4 + d**3\/3 + d - 3106. Let n(i) = -3*i**3 + 4*i**2 + 35*i + 4. Give 4*j(b) - n(b).\nAnswer: -b**3 - 35*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/131030 and 5\/8?\nAnswer: 524120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c = 4, i + 2 = 4*c. Suppose -4*x = 3*p + i + 2, 5*p + 3*x + 14 = 0. Put p, 5, -5 in descending order.\nAnswer: 5, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -99?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -293*z**3 - 277.\nAnswer: -879*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 216 = -4*v, -2*v + 38 + 35 = 5*w. Calculate the highest common divisor of 14 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-13\/4)*k*k))\/(k*k\/(k*k**7)*k*k*k) assuming k is positive.\nAnswer: k**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -13589627.\nAnswer: -5\/13589627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from klebbbeelbbbekllkbb?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-63)\/6)\/(24\/18)*4\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -1\/4*f**4 - f + 0*f**2 + 0 + 0*f**3. Let v(l) be the second derivative of l**4\/6 - l. Determine d(v(n)).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 = r, r - 6*w + 69 = 60. Solve -2*h - 12 = 4*t, -12*t - r*h = -9*t + 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/9)\/(14\/1254). Let l = 29 + m. Which is the biggest value? (a) l (b) -2\/13 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -21*s + 65. Suppose -1 - 16 = -f. Suppose -x - 3*x - a + f = 0, -x - 2*a = -6. What is the smallest common multiple of x and p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -h - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922632 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 2*f**2 + 9*f + 57. What is the thousands digit of v(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -3 - 0\/(-2) - -496. Suppose -5*i - 2*y - w = -6*y, 3*i + 260 = -5*y. Let n = i - -143. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 x when four letters picked without replacement from {g: 2, v: 1, j: 5, x: 5, a: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10600263 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48518*m + 465*m**3 + 48518*m - 2*m**2 - 97038*m + 2 to the form h*m + q*m**3 + t*m**2 + u and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + (-4 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -3\/4 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/8835 and -46\/2247531.\nAnswer: 213515445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*z - 30*z + 4. Which is greater: 1\/60 or z?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -29. What is the remainder when 29 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/8 - 341\/(-88). Suppose -l = -3*t - 2*i + 8, -2*t = 5*i + 3. Calculate the greatest common factor of t and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24514 and 238.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28919 + 31074. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0, -0.2, -122, -50?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -1795*b**2\/2 - 135*b - 61. Let c be u(9). What is c rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y**2 + 0)*(-2 - 2 + 2) - 3*y**2 - 45 + 45 + (4 - y - 4)*(-9*y + y - 2*y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 667*a**5\/5 - 53*a**2. Let p(g) = 2*g**2. Give f(p(b)).\nAnswer: 32016*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-22 + 52 + -7 + -9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*p + 51*p**2 + 52*p**2 - 152*p**2 + 51*p**2.\nAnswer: 2*p**2 - 37*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.037, 2\/19 in ascending order.\nAnswer: -5, 0.037, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/2 + 15*i\/2.\nAnswer: -3*i*(i - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23258579 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j + 6 + 67 = -2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -39 (b) -3 (c) -5\/3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -3*f - 51. Let a = -39 - f. Let i(k) = 19 - 19 - 2*k**2 + a*k**2. Let p(w) = w**2. Calculate i(p(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2168042 bigger than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -23*c + 43. Let a be f(-9). Let i be (6 + -1572 - -6)*a. Round i to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9214289 to the power of 1\/2, to the nearest integer?\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 4*i**2 + 5*i + 5. Let d be y(-5). Let b(j) = j**3 + 17*j**2 - 19*j - 17. Let m be b(-18). Solve 35 = 5*o + d*h, 5*h = 9 + m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o = -16. Let t be 1\/o - (-329)\/28. Let z be (2\/8)\/((-6)\/t). Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*i**5\/5 - 48*i**4 + 366*i**3\/5 + 3948*i**2\/5 + 4896*i\/5 - 1728\/5 = 0. Calculate i.\nAnswer: -4, -3, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-176)\/42)\/(-22)*14*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-972)\/36 - -2811)\/(1 + 13). Find u such that 21*u**5 - 177*u**4 + 2784\/7*u**3 - t*u - 240\/7 - 1032\/7*u**2 = 0.\nAnswer: -2\/7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -7 (c) 0.5 (d) 8\/79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 11*k = -365. Let t = k + 75. Solve -t*q + 3*b = q + 3, 8 = -4*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 - 178*x + 4. Let y(f) = -3411*f. What is s(y(l))?\nAnswer: -34904763*l**2 + 607158*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a factor of 1783139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 - 5 + 3*z**3 - 3*z - 3 - 4*z**3. Let v be d(-4). Solve 0 = 3*j - 8*j - v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 15*f - 6. Give g(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 178 + -176. Suppose -3*n + 2828 = -0*n + 2*i, -2*i = p*n - 1886. Is n a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129185.\nAnswer: 5, 7, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 18*l**5\/5 + l**4\/2 - 149*l + 134. Find the first derivative of x(k) wrt k.\nAnswer: 72*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64135 divided by -5.\nAnswer: -12827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/((-1680)\/155) + 3\/(-7). Let p = 2 - 2. Which is the closest to 0? (a) z (b) p (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 3*l**2 - 4*l + 2. Let b be w(4). Suppose 2 = -4*z - b. Let p be -18*(z - (-1)\/3). What is the greatest common factor of 96 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12314\/5 + -2471. Let h = -9649\/10 + 971. What is the common denominator of h and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35106 not equal to -537.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -241 + 365. Suppose -20 + z = 2*x. Suppose 0 = -2*p - d + 42, 6*p - 3*p - 4*d - x = 0. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -386*u**3 + 6 + 4 - 2*u + 387*u**3 + u**2 - 3 as k*u**3 + b + q*u**2 + a*u and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*j)*(-j**2 + 3*j**3 + j**2)*(30*j - 7*j + 3*j - 15*j - 17*j - 25*j + (3*j + 2*j - 6*j)*(1 - 3 + 0) + 0*j + 4*j - 3*j - 4*j + 2*j + 0*j).\nAnswer: 180*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q + 8. Let j(t) = 5*t + 9. Let i(o) = 6*f(o) - 4*j(o). Let s be i(6). Let c = s - 36. What is the nearest to c in -5, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from ddvvvkkvv?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:20 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.79 - -0.71. Let p = -20 + j. Let d = -3.98 + -0.02. Put d, 0, p in decreasing order.\nAnswer: p, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 + g - 4. Let w(b) = 3*b**2 + b - 3. Let h be ((-12)\/21)\/(-2*(-7)\/(-98)). Give h*s(z) - 5*w(z).\nAnswer: z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32958*b = 32933*b + 450 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6212 and 9?\nAnswer: 55908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26568301643 plus -9407?\nAnswer: -9407.26568301643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 111532?\nAnswer: 3\/111532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 7*s - 2*s)*(-16*s - s + 52*s) - 5*s**2 + s**2 + 3*s**2.\nAnswer: 104*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - z - 92 - 41, z = 3*l + 407. Let k = l - -214. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 1. Let n(g) = g**3 - g**2 - 5*g + 6. Let q be 12 - 2 - (1 - 1). Suppose 4*f + 11 = -3*x, -4*f - 3*x - q = f. Calculate f*n(v) - 5*w(v).\nAnswer: v**3 - v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + 9*u + 35. Let f(w) = -2*w**2 - 5*w - 18. Determine -5*f(b) - 3*x(b).\nAnswer: b**2 - 2*b - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -301, 10, 0, 1265 in descending order.\nAnswer: 1265, 10, 0, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 6*t)*(-677*t - 824 + 414 + 410).\nAnswer: -2708*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83*b**3 - 50*b**3 + 40*b**3)*(3*b + 0*b - 4*b)*(5 - 4 + 2) to the form c*b**3 + w*b**4 + j + z*b + g*b**2 and give w.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4758*v - 4545*v = 11502 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3117214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -54*k + 432. Let j be (20 - 10) + (2\/2 - 3). Let r be n(j). Factor 1\/5*h**3 + 0*h + 2\/5*h**2 - 1\/5*h**4 + r.\nAnswer: -h**2*(h - 2)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 16 = -4*m - 0*m, -m = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 2660.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1505 + -1075. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:19 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 2*d + 32. Let l be g(-14). Suppose 3*w = 12*w - l. Let o be ((-5)\/(-4) - 1)*w\/33. Sort 2\/19, o, -3\/4 in descending order.\nAnswer: o, 2\/19, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 9*d**2 - 4*d - 11. Let y be c(-9). Let r = y + -14. Let g be (7 - 1)*(-66)\/(-4). What is the greatest common factor of g and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4 = -5. Suppose 0*x = 2*o + 5*x - 21, -g*o + 12 = x. What is the third biggest value in 1, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 n, and 1 r when four letters picked without replacement from cnvcjnrr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 2\/3*z - 1\/6*z**4 - 5\/9*z**3 - 1\/6*z**2 - 97. Determine m so that i(m) = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44\/77 + (-930)\/(-14). Let b = -79 + v. Let m be (40\/6)\/((b\/9)\/4). Put m, -1, 3, 5 in descending order.\nAnswer: 5, 3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(2\/3))*u**(2\/11))\/(u**2\/u**7))\/((u*u**(-1))**(-1\/3))**(-33) assuming u is positive.\nAnswer: u**(149\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 13*t**4\/24 - 41*t**3\/6 + 21*t**2. Is 2 a factor of l(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**4\/i)\/(i**(-9)\/i))\/((i**(-1\/6)*i)\/(i**(2\/19)\/i)) assuming i is positive.\nAnswer: i**(1285\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 a when three letters picked without replacement from {a: 2, b: 7, t: 1}.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*b - 100, 0 = 14*p - 2*b + 1208 - 1278 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29237371 to the nearest integer?\nAnswer: 5407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 9) in base 5?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/9 + 10*t**2\/9 + 14*t\/9 + 2\/3.\nAnswer: 2*(t + 1)**2*(t + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.2. Let n = o + 2.8. Suppose -4*l + 4*h = -5*l - 3, -5 = l + 5*h. Which is the smallest value? (a) l (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0.1359\nAnswer: -0.8641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1089 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960299 + -122303.\nAnswer: -1082602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/8018 and -29\/8.\nAnswer: 32072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*30\/(-28)*-686*(-292)\/(-28616)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102 - -72) + 61 - 35?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 431, -2, -5529 in ascending order.\nAnswer: -5529, -2, 6, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/11824014 and 119\/1992.\nAnswer: 47296056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 6:33 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -10*z. Let s(t) = 9*t**3 + 2*t**3 - 5*t + z*t**3 + 0*t**3 + 5. Let g(q) = 6*q**3 - 3*q + 3. Suppose 28 - 100 = 24*y. What is y*s(o) + 5*g(o)?\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aba when three letters picked without replacement from abaaaaba.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**4 - 12825*b**3 - 105453 with respect to b.\nAnswer: -8*b**3 - 38475*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 13*s - 4*c + 164 = 0, 4*s = -3*c - 164. Put -5, -4, s in increasing order.\nAnswer: s, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (3 + 0 + (sqrt(72)*-3 - sqrt(72)) + 4)**2)*-3*6.\nAnswer: -43092 + 12096*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003561 to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -4*r - 24. Suppose 61*k - 59*k = r. Let p(l) be the second derivative of -l**4\/12 + 5*l**3\/6 - l**2\/2 + l. Give p(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -147. Let g = s - -90.3. Let d = 5.1 - 1.1. What is the nearest to g in 3\/4, d, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from bpfvfzb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.220754137 to 4 decimal places.\nAnswer: 0.2208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3944 and 2714900?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -342, -340, -308, -234, -106?\n\"Answer: 2*x**3 + 3*x**2 - 21*x - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**5\/30 - p**2. Let a(h) = 4*h. Calculate a(z(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (117*m - 92*m - 134*m)*(m - m + m) + (-4*m + 2*m + 3*m)*(0 - 5*m + 0) to the form w + a*m**2 + i*m and give a.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -21*p + 7. Let r(c) = -10*c + 3. What is 4*f(s) - 10*r(s)?\nAnswer: 16*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2632353439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 plus -14263167?\nAnswer: -14263216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1. Let i(k) = -k - 7 - 19 + 15. Let u(q) = i(q) + 5*l(q). Find the first derivative of u(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*m = -25, 8*m + 12 = 4*m. What is the biggest value in -20, 1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92806216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 380*m**2 - 137. What is w(0)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) 4 (c) 2\/11 (d) 0.4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 18*j**2 - 19*j - 7. Suppose 46*i - 504 + 1378 = 0. Calculate f(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (-2 + 1*(sqrt(3) + sqrt(18)\/sqrt(6) + 1) + 3*sqrt(3072))**2).\nAnswer: -28814 + 196*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + -4*sqrt(68) + -5*(sqrt(68) - (sqrt(68) - (4*sqrt(68) - sqrt(68))))**2)*4*-6 + 4.\nAnswer: 192*sqrt(17) + 73329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, n: 5}. What is prob of picking 2 b and 2 n?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**4\/4 + 7*h**3\/6 + 7*h + 1. Let b(g) be the first derivative of d(g). What is the second derivative of b(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven quarters of a second?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 488, 1735, 3784, 6611, 10192, 14503, 19520, 25219?\nAnswer: 31576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180140?\nAnswer: 2, 5, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5.7 + 36\nAnswer: 41.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*g + 124 - 179 - 281 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1413 + 1676. Put -1\/2, w, -0.4, 2 in ascending order.\nAnswer: -1\/2, -0.4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*w**2 - 226*w - 16*w**2 + 2*w**2 + 7*w**2 + 226*w.\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/u**(-9))**(-20) assuming u is positive.\nAnswer: u**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 46404, 92809, 139214, 185619, 232024, 278429?\n\"Answer: 46405*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 23*j**6\/2 + 8*j**5\/5 + 290*j**3 - 1583. Find the third derivative of i(s) wrt s.\nAnswer: 4140*s**2 + 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 6921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, -9, 245, 3.\nAnswer: -22, -9, -3, 3, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 14*p**3 + 31*p**2 - 141*p + 89. Is w(9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1396881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 690, -0.3, 1\/5, -9\/10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 7:29 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1*t*t)\/t**(1\/5))\/(t**0\/(t**1\/t)) assuming t is positive.\nAnswer: t**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 388 = 5*k, 908 = 5*h - 0*h - 3*k. Suppose -z - h = -0*z. Let g = 280 + z. What is the greatest common factor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(11) - (-2 + sqrt(11)*-2) - sqrt(132)\/sqrt(3) - (-2 + sqrt(1100) + sqrt(1100)*1))*1)**2.\nAnswer: -760*sqrt(11) + 19935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2. Let r(y) = 290*y**2 - 232*y + 232. Let g(v) = -v**2 + v - 1. Let u be 35\/(-20) - (-3)\/4. Let o(k) = u*r(k) - 232*g(k). Give o(j(n)).\nAnswer: -58*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 122101973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.788743 and 0.1.\nAnswer: -0.0788743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*b*l*x**3 + 17968*b*l*x**2 + 2930*l*x**2 - 56*x**3 wrt x?\nAnswer: 528*b*l - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -464 + 650. Suppose -4*p - i + 31 = -3*a, 5*a - p = 247. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2 (b) 2\/9 (c) -5\/227 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 75.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -64. Let m(s) = 0*s - 5*s - 42 + y + 4. Find the common denominator of 93\/52 and m(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 7\/99931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -3.7. Let m = f - -0.3. Let b = -3.994 - m. Round b to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 85 and -0.05248?\nAnswer: 85.05248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 140, 289, 506, 797, 1168, 1625, 2174?\nAnswer: 2821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11380 + -11393. What is the fourth biggest value in 1.9, k, -1\/2, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -8. Let g(h) = -h**3 + 16*h**2 + 14*h + 80. Calculate the remainder when g(17) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.167 times -0.008\nAnswer: -0.017336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 9. Let o = 5 + z. Let j(b) = -b**2 - 5*b - 2. Let v(a) = -2*a - 1. Determine o*v(m) - 2*j(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 6*t - 10*t**2 + 3*t.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47435.\nAnswer: 5, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 568 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**4\/24 - 5*s**3\/6 - s**2. Let l be b(-9). Suppose -j + l*a = -14, 2*j - a = a + 10. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 104*r - 28. Let k be v(33). Let o = 139 - k. Put 4, o, -4 in increasing order.\nAnswer: -4, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 21*c - 1018. Let j(i) = -3*i**2 + 45*i - 2034. Let v(s) = 5*d(s) - 3*j(s). Differentiate v(k) wrt k.\nAnswer: -2*k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 333018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51 and 0.00943.\nAnswer: -50.99057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + 1. Let r = -132 + 132. What is the closest to k in r, -0.4, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 209*s - 7439. Calculate w(-59).\nAnswer: 1411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 622 + 500. Let l = -382 - i. Let q(z) = -z**3 - 7*z**2 + 9*z + 1. Calculate q(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8354 (base 10) in base 13?\nAnswer: -3a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-15)*(9401\/(-357) + 0 + -12)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 0, 1 + 2 = y + 4*v. Suppose -7*l = -4*l + 4*o + 7, -9 = l + y*o. Solve -5*p = -l*p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -852, -3248, -7084, -12360, -19076, -27232?\nAnswer: -36828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4249.13 to the nearest ten.\nAnswer: -4250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -452*o - 22. What is the hundreds digit of n(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2609*a - 2564*a = -585 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 plus 574?\nAnswer: 573.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1326.67 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -14*w. Let a = -224 - -225. Let u be (-2 + 6)\/(2\/3). Let l(g) = -u + a + 2*g + 5. Give x(l(k)).\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 198.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 3, i: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1700) + 4 + -1*sqrt(1700))**2 + ((sqrt(119) - sqrt(119)*1)*-3)\/(5*sqrt(28)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 - 23288*g**3 + 1222916*g**2 + 6603288*g + 5357088 = 0. Calculate g.\nAnswer: -5874, -4, -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -44. What are the prime factors of 15\/(-1 - 4) + f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60707 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 5*o**2 - 7*o + 9. Let h be n(6). Suppose h*z - 6 = -0. Let u(g) = 5*g - 5*g**z - 2*g**2 - 3 + 6*g**2. Calculate u(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 2\/29, 0.12.\nAnswer: -44, 2\/29, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903536 is divided by 12046?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 11:33 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -12.64. Let r = -0.639926 + i. What is r rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 6*f - 7. Let t be w(7). Is (-3 - 8)*(t - 1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120147 = 6*z - 47241. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 118*q + 132. Let b be t(0). Let v = 14 + -2. What is the highest common divisor of v and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 5. Let l(w) = w**3 - 2*w**2 + 2 - o + 3*w**2. Let d(n) = 4*n**3 + 5*n**2 + 3. Suppose -3*s - 4 + 12 = -5*j, 5 = 4*s - j. Determine s*d(c) - 3*l(c).\nAnswer: c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:22 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 19 - 1 + 6*b**3 + 3 + 51*b - 21*b**2.\nAnswer: 6*b**3 - 21*b**2 + 51*b - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1375 and 39105?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 12:39 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 542, 1134, 1734, 2342, 2958, 3582?\n\"Answer: 4*v**2 + 580*v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 2*u**4 + u**3)*(-2*u - u + 2*u) - 4*u**5 + 0*u**5 + 6*u**5 + (13 - 13 + 17*u**2)*(46 - 13*u**3 - 46).\nAnswer: -217*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 241*b**2 + 158.\nAnswer: 482*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7)*m*m)**(-6\/29))**13 assuming m is positive.\nAnswer: m**(-936\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 3*p + 72 = 0. Let k be (4\/(-5))\/((p\/(-10))\/2). What is the common denominator of k*(-3)\/10 - (-7970)\/(-1200) and 17\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12021 (base 3) in base 16?\nAnswer: 8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Let j be -1 + -1 + (-1)\/(1\/(-7)). Suppose -j*f = -4*y - 2, -p*f + 7 = 2*y - 1. Calculate the highest common divisor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o = 74817 - 75415 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -121*n**8\/84 - 616*n**7\/15 - 4703*n**6\/15 + 588*n**5\/5 - 27*n**4\/2 - 108*n**2. Suppose y(l) = 0. What is l?\nAnswer: -9, 0, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 + 2*i - 19 - 5*i**2 - i. Let n be c(10). Let t = 74 - n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v**2 - 18*v - 2. Let j(k) = -3*k**2 + 15*k + 1. Determine -3*j(b) - 2*w(b).\nAnswer: -b**2 - 9*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6*k - 1080. Suppose 4*j = -t + k, t + 114 + 149 = 3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*a + 25, -o + 2*o + 5*a + 5 = 0. Let t be o*(8\/10)\/(-2). Factor -j + 4 - 3*j - 2*j + 8*j**3 - 2*j**5 + j**t - 5*j**2.\nAnswer: -2*(j - 1)**3*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.410665 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-4)*(3 + -1). Let u = 2 - v. Suppose -5*n - l + 40 = 0, l + u + 1 = n. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 2\/21, 0.1, -66820?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -3*i - 284. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:02 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -a087b3 (base 12) to base 15\nAnswer: -346aac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 2*r + 6*r - r + 11. Let d be f(9). Does 9 divide d\/6 - 52\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (362*j - 1750 + 1750)*(-5 + 4 - 2)*(-7*j**3 - 5*j**3 + 4*j**3).\nAnswer: 8688*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kakfkkaakfffatf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3759*n = -16222*n - 1998236 + 379775 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgragaagqgaarghrgg. Give prob of sequence gh.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 2197\/584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 85.16583 micrograms?\nAnswer: 0.00000000008516583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/15)\/w**11*(w*w**(2\/13))**(-18) assuming w is positive.\nAnswer: w**(-6208\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1561721 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -61. Suppose -2*t + 5*t = i. Solve j = t*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrhh when four letters picked without replacement from {r: 3, d: 1, x: 2, h: 3, o: 2, b: 3}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 8*d**2 - 7*d - 5. Let k(z) = -z**2 - z - 1. Let x(t) = 4*k(t) - u(t). Let v be x(-2). What is l in 130 + l**v + 5*l**2 - 127 + 3*l + 4*l = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -10\/3, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/9)\/r*r)\/((r\/r**(2\/5))\/r))\/(r*r**(-1\/8)*r**(-9)) assuming r is positive.\nAnswer: r**(3029\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12359665 - -12359683.0000112. Let r = 18 - b. Round r to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = h + 3*z, -3*z = -h - 0*z - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n + 16 - 121 = 0. Let b = -1 + 6. Let a = -5.06 + b. What is the closest to -0.1 in -3, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26047 + -25915. What is the remainder when k is divided by 2\/(-3) + 208\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 10*x - 3*b + 2226 = 0, 4382 = 2*x - 4*b. Calculate the highest common divisor of x and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -350, -9, 5 in decreasing order.\nAnswer: 5, -3, -9, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1036895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 60 + 20. Calculate the smallest common multiple of 3 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z - 1. Let y(a) = 128*a + 11. Determine 44*x(b) + 4*y(b).\nAnswer: 380*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 6*o**2 - 4*o + 5. Let d be h(6). Suppose 3 = -5*p - 3*i, 3*p + 0*p = -5*i - 5. Let v = p - d. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:44 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((1\/4)\/1)\/(-5). Suppose -q = -2*i + 4, 0 = 23*i - 21*i + 2*q + 2. Does i = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3024 and 45.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 33*j**4 + j**2 + j - 436. Differentiate s(t) with respect to t.\nAnswer: 396*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1681382.\nAnswer: -3\/1681382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4\/3 (b) -14 (c) -2\/7 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 675*u**2 - 42*u - 101. Is f(-6) a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.22, 4.8, -0.5, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 703*d**2*p*q + d**2*p + 1148*p wrt q.\nAnswer: 703*d**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/(-64))\/((-1)\/(-16))*2*(-165)\/(-176)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 50.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2951936 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {y: 1, n: 1, f: 1, d: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -16. Is (-648)\/a + (-22)\/77 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-8)\/84)\/(72\/(-84)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178104*18.\nAnswer: 3205872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -38\/33 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62.07 + 0.93. Let l = m + -62.999846. Round l to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*f - 81. Let k be ((-1)\/(-2))\/(f*3\/864). Let s = k + 114. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -418443622 - -418443646.00000055. Let h = 24 - u. What is h rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**3 + 5*r**2 - 7*r - 2. Give v(3).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4378357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/5, -5, -1, -38.1, -7\/6.\nAnswer: -38.1, -5, -3, -7\/6, -1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643028.\nAnswer: 2, 160757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 2*h**4 + 2*h**3)*(0*h - 2 + 3*h + h).\nAnswer: -8*h**5 + 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*j - 7760 = 5*j + 20080. Calculate the highest common divisor of j and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48877608*m**4 - 265796323.\nAnswer: 195510432*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112320001301 (base 4) to base 7.\nAnswer: -101653652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -1\/7, -3825\/349, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:42 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 53212223 (base 6) to base 8\nAnswer: 5741027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-546)\/(-28))\/((-108)\/72).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(11) + sqrt(11) + -1)*5)**2.\nAnswer: -300*sqrt(11) + 3375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 417 - 10?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 4*l**2 - 2*l + 3. Let p be y(-3). Suppose 0 = 2*v - p - 20. Let n be -2*((-3)\/6 - 1). Solve n*m + v = -5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**3 + 7*n**3 - 21*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + y**2 - 2*y**2 - 7*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 34*i**2 - 887*i + 2376. Determine b(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/9 >= -1\/6727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q**3 - q**2 - 21*q - 1310. Let g be i(50). Round g to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 54*t + 818 = 109*t, -3*t + 85 - 58 = 3*j - 7*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(19) + 2) + 0.\nAnswer: -4*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2954 - -2953.999996954. What is w rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 103350.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**5\/20 - j**4\/2 + j**3 + j**2 - 3*j. Let x = 198 + -193. Give s(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1198076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*k**2 + 11*k**2 + 16*k**2 as c*k + q*k**2 + o and give q.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgkfsrwg. What is prob of sequence gk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*z = -585*z + 27 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**2 - 3*q**3 - 109*q**2 + 27*q**2 + 54*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:48 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/1)\/((-14)\/(-1274)). Let u = -81 + p. Solve -5*c + o - u = 0, -c - 6 = 2*c + o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/25688215 and 31\/1225.\nAnswer: 899087525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1964362232 to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*v + 81*v + 2*v**3 - 157*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*q = 113*q + 12670. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 11*n + 11. Let w be j(-10). Let r be -6 - -8 - w*-1. Let u = -6 + r. Which is smaller: u or -5\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.257883 millilitres in litres?\nAnswer: 0.004257883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 15) to base 4\nAnswer: 10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + (-6 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*g + g + 5, 2*q = -g + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 703 - 905 = -4*d, 4*b - 3*d = 1587. Suppose b = 3*r - 294. Let q = r + -135. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 78*p - 342. Let v be z(-34). Put v, 1\/4, 16 in increasing order.\nAnswer: v, 1\/4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 17*f - 3166 + 5*f - 3*f + 1581 + 1586.\nAnswer: -16*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10596735 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, and 1 d when three letters picked without replacement from {t: 4, u: 6, d: 4}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + -9 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + -1*sqrt(208) - -5*((sqrt(208) - -3*sqrt(208)) + sqrt(208))) + (sqrt(208) - -3*sqrt(208)*5) + 4 + -2 + sqrt(208))*2)**2.\nAnswer: -3936*sqrt(13) + 1398628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/10)\/(14 - 28713\/2040).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3693\/344 + 31\/86. Calculate the common denominator of s and (2\/(-20))\/(4\/(-185)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*b, -3*u = -3*b + 4*b - 70. Let l = -21 + u. Solve l = 2*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7*b - 3*b = -58, 0 = 3*f + b - 68. What is the smallest common multiple of f and 262?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v, -5*w + 4*v - 410 = 0. Let o = -79 - w. Suppose 2*k - 5*l = -8 - o, 3*k - 2*l = 0. Solve 0 = -2*r - 0 - k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 2*g**2 + 0*g**2)*(-176 + 97 - 158).\nAnswer: -474*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/870 and 24\/1595?\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -18 + -4 - (-3 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2. Let m(i) = -968*i**2. Calculate m(h(z)).\nAnswer: -3872*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145201668 and 552?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -9. Let t be (-3)\/(q\/34)*(-21 - -39). Let p = -116 - t. What is the greatest common divisor of 22 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7 - 9 = 0. Let u(t) = t - t - 5*t - i + t**2 + 4*t. What is u(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 533. List the prime factors of a.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2041 - 2009. Solve 25 = m*t - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 64*v - 62 = 0 for v.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -j + 5. Suppose 5 = 5*w - 3*h - 5, -w - 26 = 5*h. Let l = w - j. Which is bigger: 1\/3 or l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/9 + 362*r\/9 + 406808\/9 = 0. What is r?\nAnswer: -482, 844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than 69.00999?\nAnswer: 69.04999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*u**4 + 1\/3*u**2 - 1\/3*u**3 + 0*u + 1\/3*u**5 + 0.\nAnswer: u**2*(u - 1)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k + 4. Let z be t(0). Suppose u = 2*u + 4*s + 3, 0 = 5*u + z*s - 17. Suppose 469 + 41 = u*d. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12449377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + w**3 + w + (0 - 3 + 1)*(4*w**3 - w**3 + 4*w**3) to h + r*w**2 + q*w**3 + c*w and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.7, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + r**2 + 2. Let t be k(0). Put 0, t, -2 in increasing order.\nAnswer: -2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -212227 - -8597. Round n to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35487 is divided by 1115?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*(-1)\/(1\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5705, -22057, -49047, -86675, -134941?\n\"Answer: -5319*l**2 - 395*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59197252 by 314879.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**4 - 14*x**2 - 12*x + 4*x**4 + 2*x**2 - x**3 + 13*x**2 + 6*x**2 in the form d + u*x**2 + m*x**3 + c*x**4 + s*x and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**3 + 338*w**2 + 3*w - 2208. Let q(n) = n**3 - n**2 + n + 1. Let r(h) = 3*q(h) - u(h). Differentiate r(b) wrt b.\nAnswer: -9*b**2 - 682*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*c - 3*j + 5109 = -63*c, -3*c + 5*j + 5141 = 0. Calculate the remainder when c is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28175 and 11225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -9. Suppose 75 = -3*b + u*b. What are the prime factors of 224\/10 + (-6)\/b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - 4*y**3 + 3*y**3 + (-13513 + 13513 - 26*y)*(y**2 + 5*y**2 - 3*y**2) + 2*y**3 + y**3 - 2*y**3.\nAnswer: -75*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -1219732, -1, 0.3, 2, -4 in descending order.\nAnswer: 2, 0.3, 2\/13, -1, -4, -1219732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2000 * 0.4\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52 + 2521?\nAnswer: 248b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 12.4. Let o = y + -0.59968. Round o to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311798453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 divided by 115?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = 10. Suppose -o = 4*q - 6. Which is smaller: q or 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 27371 = -87*x + 88*x, -5*n + 136855 = 5*x. What are the prime factors of x?\nAnswer: 101, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -78, -192, -358, -582, -870, -1228?\n\"Answer: -j**3 - 17*j**2 - 10*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -21*g + 1. Let d be o(-1). Suppose 5*i + y = 54, 20 = 3*i - 3*y - 16. Calculate the greatest common divisor of d and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47192079 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115477253 and 2085368.\nAnswer: 923818024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 57 = -246. Let o be 4\/18 - (-903)\/n. Let g(h) = -h**3 + 4*h**2 + 2*h + 6. What is g(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21666864 divided by -1446.\nAnswer: 14984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11*x. Suppose 0 = 3*l - 0 + 39. Let j(d) = 5*d. Let c(q) = l*j(q) + 6*z(q). Let u(m) = 21*m. Determine c(u(r)).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-3\/2))\/x)\/(x\/x**(9\/4))*x\/(x\/x**(-1\/4)*x)*x*x**(4\/9)*x*x*x assuming x is positive.\nAnswer: x**(107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.003 - 1.203. What is the nearest to c in 0.1, 25, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-34))\/(-132*(-2)\/432 + (-20)\/18)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -0*z - 3*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81530 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.66963 and -10764.\nAnswer: -7207.89732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12*p**2 + 6*p - 2. Let x(c) = -c**2 + c. Calculate t(d) - 6*x(d).\nAnswer: -6*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1677.9 and 0.03170548?\nAnswer: 1677.93170548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 3*t + 4*t)*(0*t + t + 11*t) + (-1 - 3 + 5)*(-4 + 4 - t**2) to the form b + p*t + k*t**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/4 and ((-110)\/16 - 0) + (-214 - -210)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(275) - (sqrt(275) + 0))*-6 + 1 + 6*(-1 + sqrt(275) + 1))*-5)**2 + 3.\nAnswer: 1500*sqrt(11) + 247532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25628 (base 11) to base 9\nAnswer: 55300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-2 + -4 + (sqrt(245) + (sqrt(245)*-1 - sqrt(245)))*-5 - (sqrt(245) - (sqrt(245) + 2)*3)*-6)**2.\nAnswer: 5040*sqrt(5) + 21445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 1389263275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10fbb3 (base 16) in base 8?\nAnswer: -4175663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(11\/(-6) + 2). Let w(a) = -16*a - a - a**2 + 34*a - 18*a. Let g(f) = 4*f**4 - 4*f**3 - 6*f**2 - 6*f. Let c(p) = n*w(p) - g(p). Factor c(u).\nAnswer: -4*u**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let h be (-2)\/(-7) + 24\/14. Suppose -h = -4*d + 3*s - 5*s, 4*d + 5*s = 11. Let c(f) = f + 1. Give d*z(x) - 2*c(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -70. Suppose -52 = -3*g + 2*g - 4*m, 5*g = -a*m + 308. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and 364?\nAnswer: -10920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1674)\/4*(-43 + 41). Suppose 2736 - b = 3*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 11}. Give prob of picking 1 i and 1 u.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 8:17 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236710306.\nAnswer: 2, 7, 16907879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*x + 195 = x, 0 = -o - 4*x + 115. Let u be (-900)\/(-22) + (-308)\/(-3388). Let a = o + u. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -86 (b) 0.3 (c) 21 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1947*l - 2047 + 5941 = 0. Let p be 6*1\/10 - 0. Factor -7\/5*z - z**l - 1\/5*z**3 - p.\nAnswer: -(z + 1)**2*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 8*y + 25. Let c be o(10). Sort 0, c, -47 in descending order.\nAnswer: c, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 6:35 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59258, -59258, -59260, -59264, -59270?\nAnswer: -59278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-5 + 92\/16)*(-1656)\/(-27) and 58?\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1137*d - 17058 + 64812 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 7, a: 1, s: 2, h: 1}. What is prob of picking 1 a and 2 l?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -528662 or -528659?\nAnswer: -528659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (15\/(-66))\/((27\/60)\/(-3)) and 107\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87229 + 294245. Suppose -6*m + 45016 = a. Round m to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/17 - 43683418*c\/17 - 87366828\/17 = 0?\nAnswer: -21841707, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((189\/(-36))\/3 - -1)*(16 + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/1021439 and 65\/654.\nAnswer: 6128634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 - 3*i**3 + 9*i**2 - i - 1 - 9*i**2 as b*i + d*i**2 + y + h*i**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in -5, 0.3, -4, 29, -20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/1619 and -67\/9714.\nAnswer: 9714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:42 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -17) + -15 - (-17 - -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - 1\/(2 + -1). Suppose -1 + 5 - 5 + 38*f**2 + 22*f + s*f**4 + 5 + 26*f**3 = 0. Calculate f.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -6*t**2 - 6*t + 14. Let g(y) = -y - 1. Calculate -6*g(n) + m(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*g*h**3 - 15*g*h**2 + 13*g*h + 2*h**3 - 4*h**2 + 175*h + 1 wrt h.\nAnswer: 618*g*h - 30*g + 12*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 133*n - 3194. Let x be s(24). Put -4, 8, -5, 10, x in descending order.\nAnswer: 10, 8, x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**3. Let m(t) = 7*t**3 + 8*t**2 - 12*t + 6. Give 2*c(r) - m(r).\nAnswer: r**3 - 8*r**2 + 12*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16146, -32293, -48440, -64587, -80734?\nAnswer: -96881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -258, 2, -12 in descending order.\nAnswer: 2, -12, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 2*a**2 - 5*a - 17. What are the prime factors of g(6)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 + 3*i + 1. Let b be m(-1). Suppose 16*c - b + 2 = 0. Suppose 14*j - 11*j - 87 = c. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0 (c) 3\/13 (d) -0.4 (e) 2 (f) 49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 604*p**2 - 203*p + 960. What is the ten thousands digit of z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20223 divided by -494.\nAnswer: 20223\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1464, 2865, 4138, 5235, 6108, 6709, 6990?\nAnswer: 6903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*h - 3 + 26 = 0, -5*h + 18 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4938 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 divided by 248?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i = -21*i - 3200. Does 45 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {r: 7, y: 2, s: 1, o: 2, h: 6}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303 and 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - x - 7 = -0, -f + 12*x = 10*x + 48 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7540\/79 or -96?\nAnswer: -7540\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 173*t**2 + 96*t - 150. What are the prime factors of m(-18)?\nAnswer: 2, 3, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*c - 72*c + 54 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -18*f + 134 + 1\/3*f**3 + 29\/4*f**4 + 0*f**2. What is the first derivative of l(s) wrt s?\nAnswer: 87*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881918592 a multiple of 550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 51*f - 57. Let h = -22 + 30. Let a be b(h). Is a + (-3 - -6 - 4) + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*h - 12 = 0, u - 4*h = 4*u - 35. Suppose 0 = -u*v + 3*v + 540. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 6*i + 264. Let k be w(-13). Suppose 8*d - 3*d = -x + 41, x = -2*d + 14. Which is the nearest to k? (a) d (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63109521\/15290 + 1506\/7645. Suppose -7992 = -3*p + 4404. Let f = u - p. Find the common denominator of f and -75\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 = -18. Which is smaller: s or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 - 56 - (0 + 3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 2252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/50 and 38\/45.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.1. Let x = t - 0.135. Let j = x + 0.035054. What is j rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.206*0.8.\nAnswer: 0.1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -309, 2.1, -60?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -3.2. Let i = -3.2 + 6.1. Let m = i - 3. What is the closest to 1 in m, 2\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*h**3 - 2*h**3 + 29 + 4*h**4 - 30 + 2*h + 6*h**4 + 3*h**4 to q + d*h**3 + l*h + a*h**2 + m*h**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 5*b**2 - 8*b - 2. Let q be n(7). Calculate the greatest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -2 + 119148342\/132. Let s = -902855 + b. Let t = s + 218. What is the common denominator of 95\/16 and t?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(891) + 1)**2 + sqrt(891) - 6*(sqrt(891) + 1))*-3 + -2.\nAnswer: -2666 + 81*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-9) - (-268)\/(-18). What are the prime factors of (-5*s\/(-20))\/((-2)\/112)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10535 is divided by 866?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -6206*z + 6230*z. Is z at most 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -39, -66, -93, -120?\n\"Answer: -27*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -33. Solve h*x + 4 = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2074557, 2074555, 2074553, 2074551?\n\"Answer: -2*z + 2074559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from {a: 1, t: 1, y: 6, b: 1, v: 1, m: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8\/5)\/(o*o**(-3)))**(-4\/9)*(o*o*o**(-1\/2))**26*o**(1\/3)\/(((o*o**(-2\/15))\/o)\/o) assuming o is positive.\nAnswer: o**(1813\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -22 - (5*-1 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 6*l**2 - l**2 - l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(123\/(15990\/(-52)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6066)\/(-54) + -44)\/(17\/(-3)) + 12\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j - 2*j + 2)*(-j**3 + j**3 - 4*j**3).\nAnswer: -8*j**4 - 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1)\/(1\/(-769)). Let j = u - -1117. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1039653.882 and -112.\nAnswer: -1039765.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73296 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*k + 70952 = -934*k for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3002*y**2 + 1362*y**2 + 1653*y**2.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 1260.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -447*g**3*n**4 - 29487*g**3*n**3*t - 5*g**3*n**2*t - 13*g**3*n*t + 3*g**3*n + 11*g**3*t - 4*g**2*n*t + 2*g*n**2 + 14*g*n*t wrt n.\nAnswer: -10728*g**3*n - 176922*g**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 27. Solve -l*k - m + 30 = -5*m, -k - 4*m = 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 5*p + 4. Let b(u) = 3*u**2 - 6*u + 5. Let x(l) = -l - 7 + l**3 + 17*l**2 + 0 - 10 + 5. Let j be x(-17). What is j*b(q) - 6*g(q)?\nAnswer: 3*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 + 8*u**4 - 8*u**4 + (3 - 3 + 2*u**3)*(-2*u**2 - u**2 + u**2) + 0*u - 2*u**5 + 0*u - 42*u**2 + 42*u**2 - 5*u**5 + 2*u**4 - 2*u**4 - u**5.\nAnswer: -15*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/24 and 1\/(-3) - (-76)\/(-168).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -23*m - 11. Let x(f) = 5*f**2 - f + 4. Let y be x(2). Let j(k) = 2*k + 1. Let p(z) = y*j(z) + 2*v(z). Let l(n) = 2*n**2. What is l(p(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1014, -1002, -988, -972, -954, -934?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 5) in base 11?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g + 2 - 30*g - 29*g - 2 - g.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 112\/12*(-108)\/(-63). Calculate the highest common divisor of p and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935297817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 409*n**2 + 97*n + 101. What is the remainder when v(-1) is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8909\/3 + -5911\/2. Let u = r + -44\/3. What is the nearest to u in 0.3, 5, 34?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0 + 4. Suppose 3*b + 13 = -5*p, -16 = 3*b - 0*p + 2*p. Which is greater: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 2, 4, 8, 14, 22, 32?\n\"Answer: b**2 - 3*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 146*w + w**2 - 4*w**2 - 146*w. Let h(i) = 8*i**2 - 5*i + 5. Let g(r) = 4*r**2 - 2*r + 2. Let s(m) = -5*g(m) + 2*h(m). What is s(o(z))?\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*d - 140 = 46, -2*d = w - 59. Suppose -39 = -p - 5*o, 2*p + o = 15 + 36. Let z = w - p. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 2, j: 2, l: 4}. Give prob of picking 1 v and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 39. Suppose -2*m - 67 = -6*m + q, m - q = s. Calculate the smallest common multiple of m and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1449*0.3.\nAnswer: 434.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1, -80\/17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122 + -68. What is i rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (5 - (-68)\/(-20)). What is the nearest to x in -0.4, 2\/13, 2\/21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 - -1.2. Which is the third smallest value? (a) -1\/7 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 + 4*y + 1. Let r be k(-10). Suppose 5*a = 3*m + r + 656, 0 = -5*m + 5. Does 11 divide a\/6 + (-2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2*15\/12)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033586842 to 3 dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3466 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: Let a(d) = 89*d - 3483. Give a(39).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -689 - -3029. Is 90 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.514 - -0.186. Let q = -32 + h. Let i = -1.93 - -1.8. What is the nearest to 1 in i, q, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -60 and -40487325677.\nAnswer: -40487325737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 1 q when three letters picked without replacement from {k: 1, f: 2, m: 1, q: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, q: 2, d: 1, f: 1, w: 1}. What is prob of picking 1 q, 1 w, and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 172 = 3*s, 151 = -63*s + 59*s + 9*q. Which is greater: -28 or s?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009 minus 2882.2?\nAnswer: -2882.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 255.5 + -192. Let u = l + -63. What is the biggest value in -9, -2\/15, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001662776 rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(72)\/(sqrt(8) - sqrt(200))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 2*o**2 - 2*o + 2. Let z be f(-2). Let m be (-4)\/z - 6\/(-10). Let c(j) = 3*j. Let h be c(0). Is m at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46377 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g**2 - 20*g - 4. Let f(m) = -2*m**2 - 5*m - 1. Let p(x) = 9*f(x) - 2*r(x). Calculate p(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(8 - 4*u - 8 + (-u + u - 2*u)*(-2 + 5 - 2)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 46625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*l + 6 + 84*l - 2*l**3 in the form v + u*l**3 + p*l + x*l**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 3952.\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (47 - 3220\/69) + 1847\/3. What is the greatest common factor of 462 and b?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2, -17 = 5*w - 0*g + g. Which is the fourth biggest value? (a) -0.03 (b) w (c) -0.5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09759 + 4.09759. What is the closest to -0.2 in 7, -0.2, u, 9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**2 + 1815*n - 66010 = 0.\nAnswer: 41, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 + -2 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/10)\/((((-30)\/(-74))\/(-5))\/((-2)\/2)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29861*68\nAnswer: -2030548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8889*k + 275557. Calculate p(31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 16) in base 13?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7753, 700, -1 in descending order.\nAnswer: 700, -1, -7753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2114 - 359 = 195*r. Let z(m) be the second derivative of 5*m**2 + 1\/2*m**4 + 0*m**3 + 0 - r*m. Differentiate z(g) with respect to g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 18, 127, 362, 765, 1378, 2243, 3402?\nAnswer: 4897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 423 - -246. Let m = 684 - q. Which is the closest to 0.1? (a) 5 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**2 - 5*a. Suppose 0 = -5*z + x + 22, 0 = 239*z - 243*z + 3*x + 11. Let c(h) = -3*h**2 - 3*h. Suppose 0 = -5*i - 15. Calculate i*q(v) + z*c(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 6, e: 1, s: 1, r: 3, b: 2}. What is prob of picking 1 c and 1 e?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-130)\/(-39))\/((-1)\/(-21)). Suppose w = 3*s + 2*s. Suppose -26 = -5*p + s. What is the smallest common multiple of 14 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385849 is divided by 192913.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 0*w)*(-7 - 35 + 3 - 21)*(-3*w**2 - 3*w**2 + 3*w**2)*(2 - 4 - 4).\nAnswer: 1080*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.44 - 0.04. Let w = -2 + x. Let y = -61 + 489\/8. What is the closest to 1\/2 in y, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**(8\/7)*j**(-7)\/j*j**(2\/15)\/j assuming j is positive.\nAnswer: j**(-883\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 13, 44, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.5 + 19.589. Round z to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251, -180, 31, 454, 1161, 2224, 3715, 5706?\nAnswer: 8269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 387 = 3*l, -59 - 70 = -w + 5*l. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + 3*s - 4*s - 5*s in the form n + v*s and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*i + 256*i = 0. Suppose -18*t + 19*t - 13 = i. Suppose t*a = 11*a + 62. What is the greatest common factor of 341 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -927*p - 897*p + 2753*p - 926*p - 27 + 27.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14077463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**3 + r**2 - 1. Let b be a(-1). Let t be (1 - 6\/b)\/(5\/(-2940)). Is t greater than 294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/4 and (-4)\/10*13*14\/(-28).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2)\/63 + ((-204)\/(-54))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l - 61. What is p(18)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*s + 363*s + 6411 + 2157 = 0 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3704 or 692642\/187?\nAnswer: 3704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**3 - n**2 - n. Let d be i(-1). Let l = -10 - -26. Let k(w) = -19 + 4*w - 3*w + l + 0*w. Determine k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 444798*u + 403750?\nAnswer: 444798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from {l: 9, u: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.4 - 33. Let i be ((-9)\/(-18))\/((-1)\/(-8) + 0). Suppose 0 = g - 2 + i. Which is the third smallest value? (a) 0 (b) t (c) 0.1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 8*d + 2*d**2 + 5*d**2 - 12*d**2. Let h be p(-6). Let x be (-1)\/(-2) + 5\/2. Sort h, x, 4 in decreasing order.\nAnswer: 4, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**3 - 19*x**3 - 10*x**2 + 10*x**2.\nAnswer: -35*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**3 - 308*h**2 + 773*h - 660. Calculate j(59).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11282687 divided by 867899?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z + 177 - 176 + 14*z**2 - z**4 - 11*z**2 as y*z**3 + o + u*z**4 + b*z + p*z**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 23*s. Let p(j) = 152*j**2. Calculate a(p(n)).\nAnswer: 3496*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2. Let y(r) = 840086*r**2. What is y(z(i))?\nAnswer: 3360344*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 4)*(2*h + 2*h - h) - 12*h - 1 - 6*h + 25*h.\nAnswer: 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/825 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-3*5)\/(sqrt(5) - (sqrt(2450)\/sqrt(10) + sqrt(5))).\nAnswer: 15*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 30.087 and -0.37.\nAnswer: 29.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10760634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5)**(-24)*y**23\/(y*y**(-4\/5)) assuming y is positive.\nAnswer: y**(-486\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.01, 198, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 72\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39966 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10210233.\nAnswer: 3, 11, 29, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, -1.18, -7 in ascending order.\nAnswer: -7, -5, -1.18, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8368 and 356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30202863*-14.\nAnswer: -422840082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72451, 144880, 217309, 289738?\nAnswer: 362167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/120 and -173\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-126)\/(-8) - 4\/(-16). Let d be l\/6*(-1*8 + 2). Which is greater: -17 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6)*(-2 + 116). Suppose 5*b + 3*z - z - 133 = 0, 0 = 2*b - 3*z - f. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8347, -8355, -8365, -8377, -8391?\nAnswer: -8407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + u + 171 = 5*u, 4*q + 136 = 3*u. Let a = -27 - q. Solve 0 = 5*j - j - a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -514\/689 or -1?\nAnswer: -514\/689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 5*i + 2. Let c be y(-5). Suppose c*o - 1 = 3*z, -7*o - 3*z = -2*o - 13. Suppose 158 = 4*g - o*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -62483, -124767, -187051?\n\"Answer: -62284*g - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - -1.2. Let l = -2 + 6. What is the third smallest value in -3, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34485045 less than 4?\nAnswer: -34485041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 6*i - i + 2 - 3*i**2 + 2 + 7*i**2. Let v be p(5). Suppose 4*n - v*u = 484, -3*u + 347 = 3*n + 2*u. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjzzzirjrzjrl. What is prob of sequence rzrr?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/91 and 47\/195?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1d6 (base 16) to base 3\nAnswer: -122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + 0*s - 2*s + (-3*s - 2 + 2)*(-33 + 3 - 64).\nAnswer: 283*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 208*c**2 + 410*c + 2108. Calculate l(210).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3231 + 4?\nAnswer: -3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 6 - v**2 + 2*v + 0*v. Let l be b(4). Let m(i) = 7*i**2 - 15*i + 9. Let z(p) = -8*p**2 - 8*p + 0 + 5 + 12*p**2. Determine l*m(o) + 11*z(o).\nAnswer: 2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -15. Let q = n - -0.48. Let p = -0.18 + q. Which is the smallest value? (a) -4 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)\/(b*b**(1\/13)))**(16\/9)*(b**2)**(-2\/13)*((b\/b**(-2\/9))\/b*b)**(-2\/41) assuming b is positive.\nAnswer: b**(-2030\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 2:46 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600314.\nAnswer: 2, 11, 13, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -54*(1 + 20\/(-6)). Let w be 31 - 21 - (-42 - -7 - 9). Calculate the highest common factor of w and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9370910 or 9370894?\nAnswer: 9370910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 589, 4005, 9701, 17677?\n\"Answer: 1140*m**2 - 4*m - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2\/11, 0.2, 0, -1176, 0.3.\nAnswer: -1176, -20, -2\/11, 0, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 20 + -78 + -11 + -1.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -17*u - 5. What is the derivative of 1143*c - 23*c**u - 1143*c + 60 wrt c?\nAnswer: -46*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663b (base 12) in base 5?\nAnswer: 4322422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2056137 (base 9) in base 2?\nAnswer: -100001100100110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6088*j + 108*j**3 + 6088*j + (-6*j**2 - 3 + 3)*(-2*j + 3*j - 3*j) in the form o*j**2 + b + r*j**3 + y*j and give r.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 4:02 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -136753731?\nAnswer: 136753731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 4)*(2 + 21 + 26) + 2 - 2 + 1)*(2 + 7 + 9)*(-l**3 - l**3 + 6*l**3).\nAnswer: 7128*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n = -70. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, f: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54906 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30334.\nAnswer: 2, 29, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 27645.\nAnswer: 55290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.5 (b) -0.5 (c) -1.6 (d) -2 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 13834.\nAnswer: 41502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -900, -5583, -17018, -38175, -72024, -121535, -189678, -279423?\nAnswer: -393740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 8*y + 2. Let b be u(8). What is the second derivative of 2*m + b*m - 5*m**3 + 7*m - m wrt m?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o**(10\/7)*o)*o**(-47) assuming o is positive.\nAnswer: o**(-332\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-20))\/(882\/(-420))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/(-3) + -1)\/(19\/(-285)). Let h = 52 + w. Let x(o) = 8*o**2 - 3*o**h - o**2. Let c(j) = 10*j**2. Calculate c(x(q)).\nAnswer: 160*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -10*c**2 - 1152015*c + 576010 = 0?\nAnswer: -115202, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*y + 6966, -4*r + 4999 + 1968 = -y. Let h = -3031 + r. Let j = 2728 + h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i = 4*y - 44*i + 8, 3*y + 3*i - 6 = 0. Sort 2, 86, -5, y in ascending order.\nAnswer: -5, y, 2, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 32 - 19 = 4*c, 0 = c + 4*x + 1. What is the third biggest value in -5, c, -17\/3?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 8.72, 12, 17?\nAnswer: 8.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/41 - -47\/82. Let k(v) be the first derivative of v - 3 - x*v**2 - 1\/3*v**3. What is k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 - -125.0264. What is a rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356670 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/2 - (-1)\/(-2). Suppose 690 - 669 = 21*n. Put n, x, 3 in ascending order.\nAnswer: x, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490 divided by 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 21.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - (-8 - -20))\/(383\/2). Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -236028, -1887733, -6370800, -15100911, -29493748, -50964993, -80930328, -120805435?\n\"Answer: -235947*f**3 + f**2 - 79*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2190, 4352, 6490, 8604, 10694, 12760?\nAnswer: 14802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2017866400 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29739\/5 + 2795271\/470. Let s = h + 2745\/329. Let t = 2\/163 - -10917\/326. Find the common denominator of s and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -463\/9 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.74 + 0.06. Let k = 3 - i. Let m = 12 + -8. What is the nearest to -0.1 in k, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 68 = -14*a. Let h be 17\/a + (5 + -3)\/(-8). Find the third derivative of -40*w**h + 5*w**2 + 196*w - 196*w wrt w.\nAnswer: -960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26\/5, 29, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2070 and 207.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 16. Let h(m) = m**3 - 10*m**2 - 9*m - 14. Let v be h(11). Suppose -v*z - 6 = 58. Give q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.084 (b) -2.2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*b - 5 = -64*b. Which is smaller: b or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10279 + 1850219\/180. Which is greater: r or -3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 32*t - 37*t = -156830, -g = -2*t - 39214. What are the prime factors of g?\nAnswer: 2, 3, 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5408\/114495 - 18\/2245. Let b(p) be the first derivative of -2\/17*p**2 + 8 + 0*p + f*p**3. Factor b(j).\nAnswer: 2*j*(j - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 10:39 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 5*t + 1 + 1. What is the lowest common multiple of y(-2) and -4*((-1 - 3) + 3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (32 + -11) - (2 + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1424 + -1398. Calculate the remainder when 114 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 601280515?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 8*u**2 - 13*u - 4. Let y be k(-6). Suppose y*t = -t + 2*j + 319, -5*t + 3*j + 532 = 0. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60833507.\nAnswer: 7, 613, 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 4*k**2 + k - 3. Let x be w(4). Let r be ((-2)\/(-15))\/(x\/(-5)). Let s = -6\/7 + 10\/7. What is the nearest to -1 in 0, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(3\/4)\/o))\/o*o\/(o**4\/o*o*o)*(o\/o**(2\/7))**(-18\/7))**(-2\/11) assuming o is positive.\nAnswer: o**(1095\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 114.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + w + 9 = 0, -5*w - 24 - 1 = 0. Find d such that -6 + 18 + 8 + 5*d**3 - 5*d**j - 20*d = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than 3267670?\nAnswer: 3267670.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r + 4. Let p(j) = -9*j - 7. Let q(b) = 7*g(b) + 4*p(b). Let d(l) = -94*l**2 + 116*l**2 + 18*l**2 - 170*l**2 - 216*l**2 + 23*l**2. What is d(q(o))?\nAnswer: -323*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 46564139 + 46564139.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**5 - 154872*u**2 + 5*u + 4414 wrt u?\nAnswer: -20*u**3 - 309744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64904 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/13 + 2828*b\/13 - 999698\/13 = 0.\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -360*n**5 - 366*n**4 + 320*n**3 + 817*n**2\/2 + 35*n - 75\/2 = 0.\nAnswer: -5\/6, -3\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 3*(-5)\/3. Suppose -w = 4*a - 54. Solve 5*r = a - 38 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4924*r - 1934*r - 445*r + 1363*r.\nAnswer: -5940*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3624507 divided by -81\nAnswer: -44747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29976626350 rounded to the nearest 1000000?\nAnswer: -29977000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 6*x**2 + 4*x - 3. Let l be u(5). What is the common denominator of (l\/5)\/((-108)\/(-20)) and 17\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 130747304, 261494603, 392241902, 522989201, 653736500?\n\"Answer: 130747299*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1432 and 1160278.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 36*f**2 - f - 31. Let q be h(-5). Let r = -496 + q. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43801 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -32. Let t = 24 - h. Solve -3*a + 3 - 2 = -t*o, -2*o = a - 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 2:30 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-25) + 44\/10. Suppose 4*b - 3*n + 784 = -250, -5*b = 3*n + 1306. Let y = 320 + b. Calculate the highest common divisor of c and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1827, 8338, 19189, 34380?\nAnswer: 53911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 7:23 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 + 1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5322?\nAnswer: 2, 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = c + 4*z - 7*z, c + z - 30 = 0. Calculate the least common multiple of c and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*m**3 + i**2*m*r**3 - 278*i**2*r**3 - 2*i*m**2*r**3 - 8*i*r**3 + 9*m**3*r**3 wrt i.\nAnswer: -2*m**3 + 2*m*r**3 - 556*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 5:03 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) 11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*x + 15 = 0, 32*x = 3*w + 35*x + 15. Sort w, -4, -5, 1 in descending order.\nAnswer: 1, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -421\/91 + 62\/13. Which is the third biggest value? (a) p (b) -2\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-5)*(-73 + (-74 - -144)).\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1418 + -1117. Suppose 5*j = 6*k - 8*k + 221, -k + 46 = j. What is the highest common factor of j and y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - l - 5*l)*(1 + 128*l - 48*l + 38*l) as r + c*l**2 + p*l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, -2, 7, -0.3.\nAnswer: -2, -0.3, 7, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/2269 and -48\/15883.\nAnswer: 15883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/2847 and 85\/1274?\nAnswer: 279006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3073 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(3\/2)*g**8\/(g\/g**9) assuming g is positive.\nAnswer: g**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2*h**2 + 2*h**4)*(3 - 5 + 1) - 3*h**4 + 5*h**4 + h**4 + 2*h**4 + 2*h**4 - h**4 + 2*h**3 + 2*h**4 - 2*h**3 + 1.\nAnswer: 6*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(0 - 1 - 1)*(-7*d + 11*d - 8*d)*(-1 + 1 - 2*d) as p*d + z*d**2 + y and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-11))**39\/(g*g**(7\/4)*g)**9)**2 assuming g is positive.\nAnswer: g**(-1851\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -0.4, 340, -1\/2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11987138 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 10*d + 13. Let i be c(9). What is the remainder when 43 is divided by (-836)\/(-36) - i\/18?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d + 4. What is o(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -358 less than 11.77033508402?\nAnswer: 369.77033508402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440 divided by 10.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*j + 30235 + 5468 = -44366. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*c + 4*v - 270, -276 = -3*c - 2*v. Let j = 93 + c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*-1*(-24)\/36?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -1085316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + -5*-1*sqrt(56))\/sqrt(4))\/(sqrt(343) + -1*sqrt(343) + sqrt(28)\/(sqrt(4) + sqrt(64) - sqrt(4))).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 477 + -477. Solve -5*d + 5*t - 20 = l, -12 = 3*d - 0*t + 3*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/208752021 and -13\/92778676?\nAnswer: 835008084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + 91.19. Let n = 111930404.0000049 - 111930313. Let l = n - w. Round l to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 2, -5, -44\/7, -54?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16224 is divided by 1475?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 - 5*c**3 + 3*c**3)*((-241 + 127 - 89)*(c**2 - 4*c + 4*c) + c**2 + 0 + 0).\nAnswer: 404*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxx when three letters picked without replacement from ximiioppiixmiommix.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/39 + 47\/156. Which is the third smallest value? (a) -0.4 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194916 - 194925.000024. Let h = 9.3 + -0.3. Let v = q + h. What is v rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*x**3 - 2744*x**2 + 2*x + 2262 wrt x?\nAnswer: -30*x**2 - 5488*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75903 <= 75905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 + 133. Do o and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -0.5 (c) 13.82 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56579324?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-140)\/(-21)*(-6)\/(-4) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = g - 4*g, 5*g = -4*y + 2. Suppose y*l = 7*l - 56. Which is smaller: l or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 17*m**2 - 14*m**2 - 2.\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2753.3 + -2753.30026518. Round t to 6 decimal places.\nAnswer: -0.000265","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 4*d + 4. Let a be j(-4). What is the second derivative of -i**4 - 8*i**3 + 8*i**3 + 7*i**a - 7*i wrt i?\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.04. Let b = 864 + -3455\/4. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 10, 0*f = -3*u + 3*f + 12. Let l = -0.1 - -0.1. Let z = -0.2 - l. Which is the nearest to u? (a) 0.4 (b) z (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 a when three letters picked without replacement from {j: 4, a: 4, l: 1, b: 2, r: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 425*q**2 - 33*q + 3*q - 5422*q**4 - 460*q**3 + 5487*q**4.\nAnswer: 5*q*(q - 6)*(q - 1)*(13*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 46*f - 236. Calculate j(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46266\/7? (a) -0.1 (b) -0.2 (c) 3 (d) -2\/11 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/6 + 5*s**3\/6 + s**2 + s. Let v be g(-5). What is the remainder when 71 is divided by (-3)\/(-3)*-3 + v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, -6 in increasing order.\nAnswer: -6, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/4 + 39*y**2\/4 + 33*y\/2.\nAnswer: 3*y*(y + 2)*(y + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2308 - 2308 + 125859*s**3.\nAnswer: 125859*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1733 + 5249\/3. Let f be (-357)\/(-21)*2\/2. Which is smaller: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16*r - 112. Let l be d(7). Suppose -4*v + 10298 = 2*w - l*v, v = 1. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 1 + (29 - 21 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 25*g - 13. Let o(j) = 3*j**2 - 38*j - 20. Let f(q) = 5*o(q) - 8*y(q). Let i be f(10). Calculate the highest common factor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a*r**2*w - 35*a*r**2 - 11976*a*r*w + 2*a*w - 5*a + 67181*r**2*w - r**2 + r*w + r + 5*w - 2 wrt r?\nAnswer: -12*a*w - 70*a + 134362*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92.3 or 48\/209?\nAnswer: 48\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 + 11*x**2 + 9*x. Let t(m) = 13*m**3 + 46*m**2 + 37*m - 1. Let d(w) = 2*t(w) - 9*y(w). Give d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*v = -23, 337*a - 3*v = 332*a + 27. Factor 0*r - 3\/5*r**4 - 3\/5*r**2 + 6\/5*r**a + 0.\nAnswer: -3*r**2*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 337.1 + -337. Let s be (-6)\/(-9) - (-41)\/15. Is c less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -641*m**2 - 3791. Let r(l) = l**2. Determine k(r(x)).\nAnswer: -1282*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -2*q. Suppose 42 = q*k - 46. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 8*f - 4*f - f**4 + (f**2 + 2*f**2 - 2*f**2)*(8*f**2 - 7*f**2 + 10*f**2) to z*f**3 + o + k*f + x*f**2 + r*f**4 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 3. Let b(n) = 5*n**2 + 6*n + n + 0*n**2 + 0*n**2. Let x(a) = 2*a**2 + 3*a. Let y(q) = z*b(q) + 7*x(q). Let l(r) = -r**2. Give y(l(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*l + l**2 - 35*l + 86*l - 5*l - 2 + 12*l**3 - 3*l**2 as n*l**2 + g*l**3 + i*l + p and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(11\/3)*h**(-10\/11))\/((h\/(h**(11\/3)\/h))\/h**(5\/7)) assuming h is positive.\nAnswer: h**(1187\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(1300) + 5 - ((-2 + sqrt(208))**2 - -2*sqrt(117)).\nAnswer: -209 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 17 = -3*r - 4, 0 = -3*r + 5*d + 4. Suppose r*q - 3 = 3. Let c(l) = 3*l + 7*l**3 + 3*l**q - 6*l**3 - 2*l. Calculate c(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1 (c) 1\/4 (d) -34624 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = x - 12661, -12656 = -81*x + 80*x - 2*d. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 1:58 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2848857\/50 + -56975. What is the common denominator of 83\/400 and k?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*n - 10 = -y, 5*y + 32 = -n. Let l = y + 10. Is 3\/12 + 75\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-268)\/(-6))\/((-32)\/(-36)). Let y = g - 50. What is the second biggest value in y, -6\/5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) 66 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**3 - f**2 + 1. Let s be p(-1). Let r(d) = 2*d - 1. Let z be r(s). Let h = 7 + -3. Solve -5*a = -z*i - 15, -h*a - 2*i - 3*i - 15 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 320*g**2 + 2. Let u(s) = -9*s. Determine u(x(f)).\nAnswer: -2880*f**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*a - 237 + 712 - 41*a - 240 + 103*a - 234.\nAnswer: 109*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 1)*(3 + 3 - 3)*(345 + 151*f - 345).\nAnswer: 3171*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 2) + 1 + 0. Suppose -5*s - 4 - 5 = -4*n, 2*n = 2*s + 4. Let q be (0\/s)\/(9 + -7). What is the fourth smallest value in q, 5, 21, j?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7\/(-14) + (-1677)\/234?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7134 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -240 + 5*y + 240 as g + z*y and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -15. Let m be (j\/(-45))\/((-1)\/1). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 138*j - 142*j + 44, -2*m - 37 = 3*j for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/5)*k**(-5)*k**4*k**(-4)*k)\/((k**(-2))**(6\/5)*((k\/k**(-7))\/k)\/k*k*k*k**(-2)\/k*k*k) assuming k is positive.\nAnswer: k**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**3 + 2*g - 1. Let x be f(1). Let l = -5 + x. Suppose -s + l = 3*s. What is the highest common divisor of 3 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-66) + (-6)\/33. Suppose -4*d = -h*c + 3*c - 28165, 4*c = -4*d + 28160. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f\/(f\/((f**(-1\/8)*f)\/f)*f)*f)\/f*f))\/f)\/(f**(-2)\/f))\/((f*f**14)\/(f*(f*f*(f*f**(9\/5)\/f*f)\/f)\/f)) assuming f is positive.\nAnswer: f**(-363\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 474379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.2*-1.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/301716 and 65\/3366?\nAnswer: 3318876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Calculate h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 8*u**2 + 6*u + 10. Let o(r) = -2*r**2 + 14*r + 9. Let m be o(8). Let g be v(m). Let j be (g + -18)*(-2)\/(-106). Is j at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/30)\/((-350)\/810*87\/(-290)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(9\/(-8)) - (-2)\/6. Suppose -4*x - 5*b - o = 0, 3*x = 5*b + 7 + 17. Let c be 4\/(x + 42\/(-18)). What is the highest common divisor of c and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3 + 2. Let z be (19\/2 - 10)*0. Put -4, z, s in decreasing order.\nAnswer: s, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120025586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*g + 88. Let p = -21215 + 21217. Solve -5*j - p = -g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1471\/7 + -210. Solve -2\/7*n**2 - o*n**3 + 0 - 1\/7*n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3351 less than 136347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44521 is divided by 189.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 60*z**2 - 248*z - 58. Determine u(-55).\nAnswer: -1543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 571 = -3*t, -181 = -17*t + 18*t - b. Is -4 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 8*b + 9. Let r be (-3 + 0)*48\/(-9). Let y = r + -9. Let f be x(y). Solve -3*i - f*i = -10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/40*(4 - 0). Suppose k*x - 5*n = 19720, n + 944 = 4*x - 14826. Suppose 5*d - g - 6580 = -4*g, 3*d = -3*g + x. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**2 - 14*p + 132. What is a(6)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -0.71 (c) 4 (d) -7.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 9 + 9 = 0. Let f = o + 18. Calculate the remainder when ((-1)\/3)\/(4\/(-348)) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*b**3 + 30*b**3 + 55*b**4 + 6*b**4 - 4*b**4 - 3*b**4 + (b + 3 - 3)*(-b**3 + b**2 - b**2) - 3*b**4 + b**4 + 0*b**4 + b**4 - 4*b**4 + b**4.\nAnswer: 49*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -756 divided by 6?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/42 - (-2)\/(-7). Suppose 5*a - 4*i - 18 = z, -a - i + 4 = -2*i. Solve -a*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/2*148\/222.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 - (-6 + 22 + -6 + (8 - 17) + 3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 1. Let q(t) = 10*t - 693. Let m(v) = 2*v - 154. Let w(u) = 9*m(u) - 2*q(u). Give 6*a(h) - 6*w(h).\nAnswer: 6*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {s: 1, r: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - -148. Suppose -v*r + 212*r = 558. Calculate the remainder when r is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 335 - 523 - 1076 - 6*y as o*y + v and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0. Is 17 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36824971 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/2007020 and -33\/136.\nAnswer: 4014040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (11 + 46) - -22?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 648204 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250581.\nAnswer: 3, 101, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 2. Suppose 0*v - v = 4*z - 19, 0 = -4*z - a*v + 22. Suppose 2*d + 4 = 2, -z*d = -m + 15. What is the least common multiple of m and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 4. Let t(h) be the first derivative of -h**4\/4 - 2*h**3\/3 + 5*h**2\/2 - h + 2. What are the prime factors of t(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -76*k - 3780. Determine i(-50).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-54) + 463200\/(-1853280) + 6\/22?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -4\/35, -13, -0.2, -2\/17?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 7*o**2 + 6*o + 3. Let z be (-12)\/30 - 64\/(-10). Let n be s(z). Suppose k + 5*l + 1 = 0, -3*k + 0*k + n*l + 15 = 0. Solve k*j = -3 - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 7:28 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 166 or 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 13. Calculate z(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 8 + 10)*(0*u - 3*u - 5*u) in the form x*u + l and give x.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a + 2444 = -126*a for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - -1.515555?\nAnswer: -79.484445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2134577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 5*x + 140 = -22*s + 23, 24 = -3*s + 12*x - 3 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -385, 1\/4, -3, 6697?\nAnswer: -385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -272 - -139. Let v = a - -224. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127099176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233205 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-6))\/a**(4\/11))**1)**(9\/4) assuming a is positive.\nAnswer: a**(-531\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3044\/5 + 610. Solve 3\/5*l**3 + 0 + w*l**2 + 3\/5*l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 13230*y + 43758225.\nAnswer: (y + 6615)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*g**3 + 12*g**2?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 6*v**2 - 51)*(-2*v**3 - 56*v**3 - 22*v**3 + (0*v**3 + 0*v**3 - 2*v**3)*(-2 + 3 + 1)).\nAnswer: -504*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:59 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -6 + -3 - -5) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4016 - -4036. Solve 5*k = 2*t - 5*t - 32, 0 = k + 4*t + m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147)\/(-2744)*14*(-160)\/(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 2 - a - 3*a)*(-1 + 1 - 2) to z + g*a and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 25*m - 16*m. Let h(n) = -n**3 - 7*n**2 - 9*n + 2. Give h(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1958 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64398794 and 128797588.\nAnswer: 128797588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246371095 divided by 5.\nAnswer: -49274219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160\/67 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1432, 1463, 1494, 1525?\n\"Answer: 31*n + 1401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Suppose 0 = w*n - z - 416, -z - 3*z - 4 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -120.609 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1090 and -0.12.\nAnswer: -130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146047061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -294*-35\nAnswer: 10290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*n - 3*c - 2145, 2*c = -4*n + 1746. Is 434 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -1 + ((-3 - -9) + -7 - -6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/(-40))\/((-906)\/(-910) + -1). Calculate the greatest common divisor of 26 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -291, -5, -34, 0.007 in increasing order.\nAnswer: -291, -34, -5, -2, 0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**5\/60 + t**4\/8 - 2*t**3\/3 + t**2. Let n = -729 - -747. Suppose -18*o + n + 54 = 0. Determine k(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -14. Suppose -v*t + 87515 = 3*p, -4*p + 6*p - 17510 = -t. Let x be ((-48)\/(-10))\/(10\/t). Round x to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110820 - 2232*m**2 + 110820.\nAnswer: -2232*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:06 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2492 = 176*o - 3140 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (612\/(-102))\/((-1)\/(26\/(-4))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzjz when four letters picked without replacement from {z: 11, j: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1083*h**6 + 53*h**2 - 16 wrt h?\nAnswer: -129960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1 - -8 - 19\/((-760)\/305080)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*g - 2788, -10409 + 3376 = -5*t - 2*g. Which is bigger: t or 1397?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**2 + 3*j**2)*(-6*j**2 - 10*j**2 + 9*j**2).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 7*d + 9. Suppose 0 = -0*v + 2*v - 3*m - 27, 5*v - 3*m - 81 = 0. Suppose 2*x = v + 12. Suppose -o = -s + 12, 8 + x = -4*o - s. Calculate h(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*i = -28, 6*i = -4*s - 50 + 42 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -17) + 22 + -17 + -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7974 + 50337. List the prime factors of h.\nAnswer: 3, 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274)*-1*5)\/((sqrt(1280) + -2*sqrt(1280))\/sqrt(10))*-2 + -2.\nAnswer: -35*sqrt(13)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**8\/21 - 3*b**4\/4 - 18*b**2. Find the second derivative of f(r) wrt r.\nAnswer: -320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 1967*o**3\/3 + 4601*o**2\/2 - 3*o - 111. What is the derivative of x(z) wrt z?\nAnswer: 3934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 0. What are the prime factors of -9*(-2)\/(h - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574 = -300*p + 301*p. List the prime factors of p.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*z - 2*z + 12, 4*z - 16 = 0. Let g be i + 0 + -4 + 6. Suppose -5 = g*b - 33. Solve -2*p = -b*p - 2*a + 25, 0 = -5*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-378))\/((-154)\/21 + 7). Which is the closest to 1\/2? (a) -33 (b) y (c) 11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence piu when three letters picked without replacement from ggpggggfugig?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 11*c = 5*r, -3*c + 3*r + 18 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2836)\/(-5))\/4*(3 + 2) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 30*i = 5*b - 20, -4 = -3*b - i. Suppose -3*j - 11 = -b. Let l be (-3)\/6*4\/(-14). What is the third smallest value in j, l, -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 383626348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 3*v. Let a(d) = -d**3 - 12*d**2 + 14*d + 16. Let q be a(-13). Let h be i(q). Solve -5*l + 3 + 8 = -3*b, -5*l + 4*b + 13 = h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.002 - -0.402. Let k = -0.3 + -0.2. Which is the closest to -1? (a) k (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 0, 5, 109, -4 in descending order.\nAnswer: 109, 5, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 431015228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i**3 - 7*i**2 - 22*i - 5. Let k(c) = 13*c**3 + 11*c**2 + 32*c + 7. Let y(r) = 7*d(r) + 5*k(r). Calculate y(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -44607*v**3 - 6*v**2 - 12*v + 9. Let o be z(-7). Round o to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32764896163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**4 + 4*m**3 + 18*m**2 + 4*m - 20. Let t(l) = -l**2 - l + 1. Let x(r) = -12*t(r) - u(r). Factor x(w).\nAnswer: 2*(w - 2)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 69, -60, -187, -312, -435, -556?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -576*f + 40325. Calculate p(70).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3*x - 9, 1293*m = -10*x + 1295*m + 22 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 14. Let i be q(-4). Suppose -4*n - 4 = -i*h, -4*n + 10*h - 4 = 5*h. Which is smaller: -11\/12 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcjs when four letters picked without replacement from scccjccsjscccecjsc.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 3*p**2 - 13*p + 2. Let s(u) = -5*u**3 - 16*u**2 - 64*u + 11. What is -4*s(i) + 22*x(i)?\nAnswer: -2*i**3 - 2*i**2 - 30*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 37*k**2 + 0*k**3 + 1\/60*k**5 + 0*k - 1\/8*k**4 + 0. Let m(p) = 2*p. What is m(d(f))?\nAnswer: 2*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Suppose 22 = 4*o - 3*r, -7 = -3*o - 5*r - 5. Suppose -i + 3*i = -4, o*f + 5*i = 22. What is the highest common divisor of m and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083323 to the power of 1\/2, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 + (-8)\/(-18) + 82\/18 is divided by 58?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520 + 316 = 62*y - 32 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 675, 749, 939, 1299, 1883, 2745, 3939?\n\"Answer: 9*l**3 + 4*l**2 - l + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -19.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*j**2 - 42 + 637*j**2 - 25 + 6*j + 285*j**2.\nAnswer: 1213*j**2 + 6*j - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 147*k - 1820. Calculate b(6).\nAnswer: -938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 4, m: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 19*s**3\/3 + 37. Let i(o) = 11*o. What is i(t(c))?\nAnswer: 209*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6 = -3*r + r, -5*f + 12 = 4*r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 111, 227, 345, 465, 587, 711?\n\"Answer: z**2 + 113*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630034.\nAnswer: 2, 199, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000 + 10001111?\nAnswer: 100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlxagllxxylla. What is prob of sequence wga?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20531?\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/120)\/(-1 + 0). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/7 + (-102)\/(-42). Suppose -x*h = f - 344, 541 - 93 = 4*h - 4*f. Suppose -4*t + h = -62. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, z: 2, r: 1, w: 1, j: 5, t: 1}. What is prob of sequence jty?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + 57655?\nAnswer: 57677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214500*-4.\nAnswer: -858000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 12*x**2 - 2 - 121*x**2 + 51*x**2 - 81*x**2 as r*x**2 + p*x + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**4\/24 + v**3\/3 + 2*v**2 + 5. Let o(r) be the second derivative of q(r). What is the first derivative of o(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*c = 2*c + 875, g = -4*c - 195. Let s = g + 382. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = -67*r - 104 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 + 67*o**2 + 125*o + 844. What is i(-21)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m - 30 = -6*m. What is the fourth smallest value in 0.03, m, -1, -0.1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605067332?\nAnswer: 2, 17, 547, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 11*d**2 + d + 14. Let b be w(-11). Solve 3*u = 6*u + b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, -2\/9, 2, -1\/2, 11\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(((y\/y**(-10))\/y)\/y*y)\/y))\/y)\/y*y**(3\/8)\/y*(y**(2\/3))**12 assuming y is positive.\nAnswer: y**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + 14. What is the greatest common factor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25aa2 + -7b6b?\nAnswer: -31a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.02, 3\/8, 0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7301370*n**2 - 2168310*n?\nAnswer: -14602740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 32. Suppose -3 = 2*o + 5*i + 14, -4*o = i + y. Is o >= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 36. Solve -2*a = v*a, 0 = -4*m - 5*a + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/3 - -7\/6. Let v be (23\/(-41))\/(52\/12). Let k = -1\/41 + v. What is the closest to 3\/4 in t, k, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 - 5683 = -5*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -187 and 4069.\nAnswer: 3882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 290*d**3*r**2 + 22*d**3 - d**2*r + d**2 - 52*d*r**2 + 9*r**2 wrt d?\nAnswer: 1740*r**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 40)\/((-1)\/77). Suppose -8*h = -s - 2441. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 2. Let y(j) = 2*j**2. Give y(q(f)).\nAnswer: 8*f**2 + 16*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0 - 2*o**3 + 1\/24*o**4 + 13*o + 2*o**2. Let y(v) be the first derivative of n(v). Determine y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01 and -23062693.\nAnswer: -23062693.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(8) + -6*(sqrt(8) - (-2*sqrt(8) + sqrt(8))) - sqrt(8)))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123212102112 + -30?\nAnswer: 123212102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -218860*b**3*h**3 - 740*b**3*h**2 - 9*b**3*h - 104*b*h**2 + h**3 wrt h?\nAnswer: -1313160*b**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121640?\nAnswer: 2, 5, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*h - 16357, -4*i - 3*h - 6747 = -28573. What are the prime factors of i?\nAnswer: 5, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28990191 and 13827?\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*1)**2 - sqrt(19))*-1 + 0.\nAnswer: -19 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 * -918658\nAnswer: 3031571.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -777025\nAnswer: 7770.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 4*b - 24, 3*b = -a - 2*a - 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149109 to the power of 1\/2, to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + 14*d - 8*d**2 + 3 - 18*d + 2*d**2. Let a be p(1). Put 3, 2, a, -3 in decreasing order.\nAnswer: 3, 2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22608.0432 rounded to the nearest one hundred?\nAnswer: 22600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 521*r**2 + 521*r**2 - 5*r**3 - 1041*r**2 + 5*r - r**4 = 0. Calculate r.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**3\/6 + 2*r - 3. Let f(d) be the first derivative of v(d). Let x(q) be the first derivative of -3*q**2\/2 + 1. Give x(f(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 - 2*b**2 + b**2)*(2*b + 0 + 0)*((1 + 0 - 4)*(-8 - 4 - 7) + 4 + 1 - 7) in the form x*b**2 + f*b + m + h*b**3 and give h.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 3 + 16*u**4 + 0 - 14*u**4 to r + b*u**3 + s*u**2 + l*u**4 + n*u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 405601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(0 + 1)*((-1120)\/96)\/35. Solve p = -10*d + 18 - 28 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 5*w**2 - 4*w**2)*((6 - 4 - 4)*(-2 + 3 + 0) + 2 - 4 + 0 + (-1 + 2 - 3)*(2 - 2 - 1))*(-1 + 4 + 0).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8187.316 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 28 = -74 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5644276944 to the power of 1\/2, to the nearest integer?\nAnswer: 75128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l + 26. Let z be u(7). Let j = 0 + 5. Suppose 0 = j*s - 5 - z. Solve -f + 12 = s*f - 2*q, 3*q - 4 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8809*l**2 - 2890*l**2 - 3069*l**2 + 11641*l**2.\nAnswer: 14491*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3199*d - 7*d**2 + 5*d**3 + 3 + 3304*d - 6427*d as l + a*d**3 + p*d + k*d**2 and give p.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11002100100 (base 3) in base 14?\nAnswer: 2145c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*g = -5*o + 214, -4*o - g = -179. Calculate the lowest common multiple of o and 6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*c**3 - 386*c**3 + 236*c**3.\nAnswer: 61*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 11:16 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*b - 15, 5*y + 5*b = 3*b + 29. Solve -j + y = 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.33, -1\/3, -5, 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26345, 25800, 25263, 24734, 24213, 23700, 23195?\n\"Answer: 4*k**2 - 557*k + 26898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71, -129, -189, -251?\n\"Answer: -p**2 - 55*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -15131 in ascending order.\nAnswer: -15131, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725170 is divided by 4030?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 - 4 - 5*m + 6*m + 4 to the form v + p*m + t*m**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let t(c) = -16*c - 25. Let b(o) = -22*o - 26. Let x(v) = 2*b(v) - 3*t(v). Determine x(n(k)).\nAnswer: -4*k + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15341391 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, m: 3}. What is prob of picking 1 v and 1 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 68\/(-168) - 1\/6. Let v = 4 + -3. Suppose 4*o + v = 3*o. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*h**3*u**2 + 12*h**2*s*u**2 + 3*h**2*s - 3*h*s + h + s*u**2 + 140*s*u wrt h.\nAnswer: -114*h*u**2 + 24*s*u**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*t**3 + 525*t**3 - 147*t**3 - 365*t**3.\nAnswer: -401*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -48. Let i(g) = -g**3 - 8*g**2 - g + 15. Let p be i(d). Let x(k) = -k**3 - 27*k**2 + 13. Is 13 a factor of x(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3300 - 1379375\/418. Let z = 1\/22 + m. Suppose -h = 2*h. Is h < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3.1. Let b = 0.1 + j. Let o = -2927 + 2927. What is the closest to o in 0.1, 3\/7, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/4 of a millisecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6063898 weeks to nanoseconds.\nAnswer: 366744551040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1.3, -1\/266?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -37. Let o = i - -29. Suppose -5*u + 29 = k, -o*u = 2*u + 5. Calculate the remainder when 67 is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/357 and 29\/54366.\nAnswer: 380562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -1\/10*o**3 - 1\/600*o**5 - 1\/48*o**4 + 0*o + 0 - 28*o**2. Factor b(s).\nAnswer: -(s + 2)*(s + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in 1\/4, 2, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 278*i - 283*i + 425, v - 434 = 4*i. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6107.62 + -6108. Which is the nearest to -1\/3? (a) 2 (b) -1\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-19120)\/3520)\/239?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0*c + 3\/8*c**4 - 3*c**2 + 1\/20*c**5 + 0 - 2*c**3. Factor a(n).\nAnswer: 3*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002008323769 rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 282*j - 54. Which is greater: 5\/822 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -2, -261465 in decreasing order.\nAnswer: 5, 0, -2, -261465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.424 times 0.02?\nAnswer: -3.80848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45135 by 51.\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1158 divided by -8\nAnswer: -579\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 + 5*i**2 + 3*i**2 + 12*i**2.\nAnswer: 29*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 902 and 2134?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3, 32, 99, 204, 353?\n\"Answer: w**3 + 10*w**2 - 2*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19020641474 from -335.5.\nAnswer: -19020641809.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 - -330. List the prime factors of i.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 10*j + 5. Let s be t(-1). Sort 5, 3, s, 1, 26 in increasing order.\nAnswer: s, 1, 3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 14) to base 7\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 61.\nAnswer: -7\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**2\/5 - 2307*y\/5 + 25498\/5 = 0?\nAnswer: -2318, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 1898*h + 26180. What is c(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*m**3 + 298*m**2 + 364*m + 80.\nAnswer: 2*(m + 1)*(m + 20)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96396848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vue when three letters picked without replacement from evu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 77 = -69. Suppose 4*n - 2*n - 34 = -2*m, -n - c = -4*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 10*u + 45. Let r(i) = -5*i + 19. Let m be r(0). Let b = m - 19. What is the remainder when t(b) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 853056.8mm?\nAnswer: 853056800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:56 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -5. Let g = a + 14. Put -5, g, 5 in descending order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43894?\nAnswer: 2, 17, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 - 24*u**2 - 13*u**2 - 52*u**2 - 61*u**2 + u.\nAnswer: -140*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 329965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4 + 433*c**3\/3 - 293*c**2\/3 - 433*c\/3 + 290\/3 = 0.\nAnswer: -145, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**7)\/(q\/q**2)*((q**(-9)\/q)\/q)\/q**6)\/(((q*q**(11\/4)*q)\/q)\/q**(-1\/11))**(-3\/19) assuming q is positive.\nAnswer: q**(-6181\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.051643 hours to nanoseconds.\nAnswer: 10985914800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - w - 2. Let n(t) = t**2 + 1. Let q(k) = -6*l(k) - 5*n(k). Let b be q(-5). Let f(p) = 1 - 3*p**b - 2 - p**2. Determine f(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((120 + -120)\/(-3 + 1))\/(2\/(-1)). Factor q*r - 8\/11*r**2 + 6\/11*r**4 + 0*r**3 + 2\/11*r**5 + 0.\nAnswer: 2*r**2*(r - 1)*(r + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s - 239*s - 158*s - 25308 = -9*s for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, 5, -38342 in increasing order.\nAnswer: -38342, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = 7*r. Suppose r = -19*z + 398 + 362. Does 40 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*o + 2, o - 7786 = -2*v - 7784 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -49. Let l be -2 + 16\/(-4)*(-6)\/d. Let a = 4 + -2. Solve 9 - l = a*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*m - 42*m - 33*m)*(-3 + 22*m + 3 + m + 0) to the form w*m**2 + u*m + t and give w.\nAnswer: -2507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2440787 nanometers in millimeters?\nAnswer: 0.0000002440787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1146, -3224, -6688, -11538, -17774?\n\"Answer: -693*k**2 + k - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*g**2 + 271*g**2 + 323*g**2 + 272*g**2.\nAnswer: 682*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 40 - 21)*(1 - 1 - 2*w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*k - 28, 4*v + 8 + 4 = -k. Let l be 9\/2*v\/(-6). Factor -4\/7*f**2 + 2\/7*f**l + 0 + 2\/7*f.\nAnswer: 2*f*(f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 33. Let g be 1\/(((-46)\/(-4) - 11)*(-5)\/5). Let p(r) = -r - 99. Determine g*p(z) - 7*m(z).\nAnswer: 2*z - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019*o - 667*o = -51051 - 1215 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, c: 7, d: 8}. Give prob of sequence vd.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 3:08 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*849338\nAnswer: 254801.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28144.\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98080 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 - -21114?\nAnswer: 21205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144*q**3*v**3 + 478*q**2*v**3 wrt q?\nAnswer: -864*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 6*d - 2. Let a(p) = -4*p - 3*p + 4*p + 2*p. Let j be a(7). Calculate t(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*u - 764 - 519 - 529 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - k - 5*k - 3*k + 4*k + k + (6 - 1 - 3)*(2*k - 4*k + 0*k) - 3*k + 3*k + k + 2*k - 4*k + k + 32*k + 3*k + 207*k to the form p*k + d and give p.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = -2*p, -5*j = -p - 4*p. Let v be (6\/j)\/(6\/(-108)). Calculate the greatest common factor of v and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1712 + -1708. Solve 0*u + 4*u = o*a - 8, -7 = -4*u + a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 8 - 4 = 15*n + 6*n - 25*n, -o = 2*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4272*t + 897*t - 1 - 1983*t - 4859*t + 2182*t as s + l*t and give l.\nAnswer: -8035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqtkotkkkoat. Give prob of sequence kkoa.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -133, -290, -521, -826, -1205, -1658?\nAnswer: -2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009076184 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-5)\/100*-6 + (-650470)\/(-100)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 23*i. Let o(n) = 201*n - 329. Determine m(o(z)).\nAnswer: 4623*z - 7567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 195, 285, 375, 465?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14802*d*o**5 - 40*d*o**4 - 2*d*o - d - 118*o**2 + 3*o + 111 wrt o?\nAnswer: -888120*d*o**2 - 960*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 55*p**2 - 395*p**3 - 57*p**2 - 12 as h + n*p + i*p**2 + o*p**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*v + 63, 4*v + 32 = 4*l - 28. Let j = -63 - -444. Is (j\/l)\/((-6)\/(-36)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - u - 1. Let y be r(5). Let h(w) = -3*w - 2. Let k be h(-8). Suppose -2*o + 0*o + k = 0. Calculate the greatest common factor of y and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = 3*n. Let y be (-1)\/(-5)*(-5 - -1). Which is the third biggest value? (a) n (b) -0.06 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from vhhhvvhhvmthh.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2657916 and -6\/505.\nAnswer: 13289580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.4, -0.2, 0.5, 3, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*a + 5 - 3 - 2 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 779, 2489, 4199?\nAnswer: 5909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 1300*u**2 + 9234*u + 23652.\nAnswer: -2*(u - 9)*(u + 2)*(u + 657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 142.015205, -2\/7, 2\/5?\nAnswer: 142.015205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -17538 + 46938. What is y rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.8 rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*b + 24, q + 16 = 3*q - 4*b. Suppose -2*n - 2*r = -27 + 9, 6 = 3*n - 4*r. Let s be 140\/30*n\/7. What is the greatest common factor of q and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21020 and 60?\nAnswer: 63060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 91 = -5*t + 2*t, 419 = 4*u + t. Let h be 212\/u - ((-11)\/(-6) + 0). Let -1\/6 + 1\/3*x**3 + h*x**4 - 1\/3*x + 0*x**2 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56133860.\nAnswer: 2, 5, 2806693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by ((-62)\/10 + 1)*(-1 - 4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 367, 411, 505, 667, 915?\n\"Answer: 3*m**3 + 7*m**2 + 2*m + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 8 = 5*t, -34*i - 3*t + 4 = -39*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 11*f + 2. Let u(o) = -o**2 - o - 1. Let v(d) = 6*u(d) - y(d). Is v(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13271859317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85.28 + 74.28. What is the smallest value in 2\/5, 1, l, 8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 524, 806, 1088, 1370?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18707577.\nAnswer: 3, 7, 71, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - -3 - 15) - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + 1*sqrt(320))*4 - sqrt(320)) + -3.\nAnswer: -3 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 8*c + 8. Let k be a(-8). Let t be (12\/k)\/(3\/4). Find the third derivative of 5*w**3 + 6*w**2 - t + 2 wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrqrqrs. Give prob of sequence rqq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + (-92)\/12)*-3. Which is smaller: 242\/7 or v?\nAnswer: 242\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -348 and 0.5526?\nAnswer: -192.3048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318313520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -12*k + 16*k - 96, 0 = -2*k + 5*h + 24. Solve x = -4*g - 5 - 2, 0 = -g - 5*x + k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75.5 + 71.5. Which is the second biggest value? (a) 0.4 (b) j (c) -1\/314\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4199)\/(-95) + -44)\/(7\/55).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/5 of a day?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2370053932?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 276, -8 in decreasing order.\nAnswer: 276, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 1 - 1 - 5)*(0*m + 0*m - m + (-m + 2*m + m)*(-2 - 3 + 3) + 0 - 2*m + 0 + 0*m + 3*m - 5*m) in the form x*m**2 + l*m + o and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -500981761\/22 + 22776780. Let y = b + -4884. What is the common denominator of y and -2 - -2 - 53\/(-16)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3 - 2. Let o = p - -13. Calculate the least common multiple of 12 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.7 - 1.2. Round b to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27887350\/43872*(5 - 390728\/18532). Let f = 4\/2117281 + o. Let s = 10219 + f. Calculate the common denominator of -11\/2 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37233*s - 28074*s - 48503*s - 65080*s)*(-2*s**2 + 0*s**2 + 0*s**2) in the form w + c*s**2 + f*s + l*s**3 and give l.\nAnswer: 208848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 15*n**2 - 16*n - 8. Calculate m(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -437, 4\/5, 5, -184, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 155*r**3\/3 - 5*r**2 - 28*r + 15. Is d(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5 + 4*m**4 - m**3 - 16*m**2 - 12*m = 0?\nAnswer: -3, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6852, 6838, 6814, 6780, 6736?\nAnswer: 6682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-u + 6*u + 5*u) - 2*u + u + 3*u)*(0 - 1 - 2) + (3 - 6 - 2)*(5*u + 4 - 4) - u + 2*u - 2*u.\nAnswer: -92*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2423*k - 283. Is a(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 436*x + 124*x - 153*x - 697 - 1529 + 248*x wrt x.\nAnswer: 655","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - -4. Suppose -2*g = 3*z - 28, 5*g + t = -4*z + 65. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**2 + 51*k - 15. Let z be t(7). What is the nearest to z in -47, -4, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 6, 37 in descending order.\nAnswer: 37, 6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:07 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2410164045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4 = 0, -5*p = -3*d + d + 77. Let i be 2\/(-7) - 130\/(-14). Calculate the greatest common factor of d and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 4*a**2 + 2*a + 5. Let w be v(-4). Let t = w + 2. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4 - -1) - 6)\/(-50). Which is the closest to 0.1? (a) -0.2 (b) -0.04 (c) 4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 16 - 26 = -51*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 450 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2*o - 13 = 0, -p + o + 6 = -2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.4*5370.3.\nAnswer: 114924.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-13 - (-16 - -26))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89\/2, 0.5, -0.2, 3, 5, -24.\nAnswer: -89\/2, -24, -0.2, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (-13 - -42) - (-14 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6744920 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + (-3 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s - 3. What is the units digit of q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7604*p**5 - 2902*p**4 - 130867*p**2 - p - 58?\nAnswer: 456240*p**2 - 69648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 462279060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 39 = 43*h + 10*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199162216 or -199162214?\nAnswer: -199162216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -724 + 740. Let q(v) = v**3 + 6*v**2 + 4*v + 7. Let b be q(-5). Suppose -b*l = -10*l - s. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n - 10*n - n - 50 - 8*n - 26 to d + w*n and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -39, -71, -125, -207, -323, -479?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37410.\nAnswer: 2, 3, 5, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2618 + 2619. What is the closest to -2\/17 in 1\/3, -1\/9, -4, b?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1050314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/13 (b) -84 (c) -0.5 (d) -115348\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 1. Let d(r) = -11*r + 12. Let s(b) = -12*b + 13. Let g(a) = -6*d(a) + 5*s(a). Calculate -2*g(f) - 14*o(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-1)\/(-20)*50?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18 + (-3 - 2) + 0. Suppose 0 = l*o - 0*o - 1235. What are the prime factors of o?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 4*f**2 - 3*f - 2. Let u(j) = 48*j - 7. Let w be u(4). Suppose 0 = -w*r + 189*r - 12. Calculate b(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 44.11. Let c = -0.6 - v. What is c rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.876 + 1.124. What is the second biggest value in -2\/3, o, 10, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:39 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 80\/(-40) + (29 - 2). Solve 0 = -9*h + 4*h + c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -44. Let v(s) = s**3 - s**2 - s - 1. Let b(r) = -11*r**3 - r**2 + 10*r + 8. Let g(c) = x*v(c) + b(c). What is the second derivative of g(w) wrt w?\nAnswer: -54*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -f - 3*f. Suppose -57 + f = -b. Suppose 49*v - 190 = 39*v. What is the remainder when b is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580 = 16*t + 4*u, -16*t - 31 = 15*t - 32*t + 5*u for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11402 - -11405. Let a(u) = -4*u - 3. Let h be a(-5). Let g = 44 - h. What is the highest common divisor of g and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 51 + 493. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 0 + 27*o + 0*o**2 + 1\/3*o**3 - 2\/15*o**4 - 1\/50*o**5. Factor y(j).\nAnswer: -2*j*(j - 1)*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**3*s**(-3)*s*(s*(s\/(s*(s*s*s\/(s*s\/((s*s**(2\/5))\/s*s)))\/s))\/s*s)**(-50)*(s**(2\/7)*s**(2\/3)*s)**(-9\/2) assuming s is positive.\nAnswer: s**(171\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 1 + 1)*(3*f**2 - 3*f**2 - f**4) - 3301*f**5 + 230560*f**2 - 1795*f**5 - 230561*f**2.\nAnswer: -5097*f**5 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -31, 328054.\nAnswer: -31, 1, 328054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 63924.\nAnswer: 703164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/18 - (-330)\/27. Suppose -3*b - t = -2*x, -x + b = -b - 4. What is the common denominator of (2*(-51)\/x)\/((-10)\/(-6)) and -33\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1494*s + 6064 = 21004 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.001 + 1.\nAnswer: 2.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/517866 and 89\/1294665?\nAnswer: 2589330","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, -1, -104092?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 202*c**2 + 21*c - 22. Is 42 a factor of y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 16*c**2 - 2*c - 26. Determine a(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/648*(-6)\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**4 + 30690*j**3 - 976625*j**2 - 2045340*j - 1038020 = 0. What is j?\nAnswer: -1, 34, 6106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -454751 or -454750?\nAnswer: -454750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - (-3)\/(-9))*198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.1, 97, -4, 3396\/5 in ascending order.\nAnswer: -4, -0.1, 1\/4, 97, 3396\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-6) + 10\/15. Let m be -2*(0 + (-1)\/h). Suppose -5*i = -0*i. Which is the nearest to i? (a) m (b) 0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 0*y**2 + y**3 + 9 + 19*y**2 - 3*y**2. Let o be j(-16). Let c(q) = q**2 + 8*q + 2. Let d be c(o). Is d greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -101*l - 134. Is 49 a factor of k(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((-1*((sqrt(102)*-1 - sqrt(102)) + sqrt(102) + sqrt(102) + sqrt(102)) - sqrt(102)) + sqrt(102) + -1*sqrt(102)*1)\/(1*sqrt(216)*6)*-5)**2.\nAnswer: -1195\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-2)*(-2)\/3. Suppose 5*f - g - 29 = -3*g, z*f - 23 = g. Let h = 1 + 2. Calculate the remainder when f is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22070261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*w + 5*c, -17*c = 4*w - 21*c - 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x + 26*x + d = 23, x = -3*d - 11. Let f = -0.864 + 0.064. Which is the nearest to -2? (a) f (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057432527?\nAnswer: 3, 117492503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 9:46 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2476 + 2476.0011679. Round l to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2\/3*h**2 + 2\/3*h - 4\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3092 + 9308\/3. Solve -2*y**3 + 32\/3*y**4 - 8\/3*y + 14\/3*y**5 + 0 - p*y**2 = 0.\nAnswer: -2, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -166 - -162. What is the closest to 1 in -0.1, 16, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 12:08 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (113\/((-3164)\/112))\/(104\/3822)?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2 = -2*i, 3*i - 8 = 2*v - 3*v. Suppose -22 = -2*g - i*h + 6*h, 3*h = 5*g - 37. Solve g*w + 15 = -0*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34814, 134237, 299932, 531893, 830114, 1194589, 1625312?\nAnswer: 2122277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3073*t + 24 + 53 - 77 to the form b*t + p and give b.\nAnswer: -3073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 197199\/106 < 1859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0.741, -36, 1\/4, 2\/13 in descending order.\nAnswer: 14, 0.741, 1\/4, 2\/13, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 8. Let q be 56001\/u - (-1)\/(-2). Let v be q\/(-3)*(441 - -9). Round v to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/64 and -1*((-14)\/10 - (-4)\/10).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-351)\/(-78))\/(3\/(-7))*2. Let o(k) = k. Let t(b) = -9*b. What is q*o(r) - 2*t(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 b when three letters picked without replacement from {b: 4, r: 2, l: 2, j: 1, n: 1, s: 5}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (-155)\/(-40) - (-495)\/(-360). Which is the smallest value? (a) -3 (b) -5 (c) q (d) -0.2 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 3*p - 3*p)*(-5 - 4 - 1 + (2 + 2 - 3)*(0 - 1 + 0) - 1 + 1 + 2) in the form s*p + r and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111810 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 8.5. Let d = 0.049 - 2.349. Let u = d + j. Are 0.2 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1273, 2545, 3815, 5083?\nAnswer: 6349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 16. Suppose x - 6 = -3*n. Suppose -2*o + 0*o - n*d + 58 = 0, -3*o = -3*d - 81. What is the remainder when 82 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3432183.7 minus 0.05?\nAnswer: -3432183.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1420 - 2?\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*i = -34, -8 = 3*a + 3*i - 5. Sort a, 2, -4, 5 in decreasing order.\nAnswer: 5, 2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1173389, -4692828, -10558559, -18770582, -29328897?\n\"Answer: -1173146*p**2 - p - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -39. Let d = v - -41. Suppose -z = -4*i + 2*z - d, i + 5*z = -12. Let u(c) = -c - 5. Give u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130842 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18\/9389 - -25401\/9389. Does 3 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + -16 + 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 1\/2 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -8*q + 55. Let j be 5\/(110\/q) - 140\/770. Which is the third smallest value? (a) 5 (b) j (c) -2 (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -251 - 6*y + 56 + 18*y + y. Let k be j(15). Is k equal to 14\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23229992?\nAnswer: 2, 2903749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10302\/223 + 9541953\/2230. Let m = -4332 + t. Find the common denominator of 1\/4 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, m: 3, v: 4, h: 9, s: 1}. What is prob of sequence fvmv?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 1. Let g be x(4). What is the highest common factor of g and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**21*b*b**(-1\/7)*b)\/((b*b*(b\/(b\/(b\/(b\/(b\/(b\/b**(-3\/5)))))))\/b)\/b)**(11\/6) assuming b is positive.\nAnswer: b**(1677\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -2*y + h, -2*h + 71 = 5*y - 470. Let o = 322\/3 - y. Put 3, o, 0.3 in descending order.\nAnswer: 3, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 549\/5 - 109. Let c = -3 + -2. Let y be (c\/(-70))\/((-2)\/8). Put y, p, -0.5 in decreasing order.\nAnswer: p, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125\/26 - 9\/2. Suppose 3*a + 6 = h, 6 = a + 5*h - 8. Which is bigger: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 29*t - 12. Let a(w) = -22*w + 10. Let p(n) = -6*a(n) - 5*y(n). Let i(g) be the third derivative of -g**5\/12 + 2*g**2. Give i(p(f)).\nAnswer: -845*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnjb when four letters picked without replacement from bjzjzfbnzjz?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9274965 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, x: 9}. Give prob of sequence xxx.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 777? (a) 3\/11 (b) -1\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 130 = -2*t. Let m = t + 85. Let h = -5 - m. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*j + 11*j - j)*(-2*j**2 + 3 - 3 + (0*j**2 + 0*j**2 - j**2)*(-21 - 5 + 4)) to m + p*j + y*j**2 + o*j**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (20\/(-14))\/((-42)\/294) and 25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8098*x + 6437913. Determine i(795).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67091, 67682, 68271, 68858?\nAnswer: 69443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 - 1\/(4\/8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4400189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.066 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 10*n + 27. Let f be r(-12). Let u = 96 - 81. Solve -f*o = 3 - u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(27 - -3)\/(-2). Let i = 12 - c. What is the tens digit of i\/2*2 - -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2. Let u(r) = -2046020*r**2. Calculate u(v(b)).\nAnswer: -8184080*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 16 = -8. What is the hundreds digit of ((-2)\/3)\/(y + (-1830)\/(-1836))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, k: 1}. What is prob of picking 2 u?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 81*m**3 + 33*m**2 + 33. Suppose 0 = -4*b - c + 8, -5*c + 9 = 3*b + 3. Let v(i) = 5*i**3 + 2*i**2 + 2. Calculate b*j(q) - 33*v(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40876470 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*k - k - 4*k + 3*k**2 + 8 - k**2.\nAnswer: 2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -62, -66, -70?\n\"Answer: -4*s - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64244981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 2614*v**3 - 3*v + 5216*v**3 - 2625*v**3 - v**2 + 3*v.\nAnswer: -23*v**3 - v**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 6. Let z be c(-10). Suppose 47*d - 51*d - z = 2*g, -4*g + 5*d + 57 = 0. Sort -0.5, g, -2.\nAnswer: -2, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358412*w**4 + 1792059*w**3\/5 + 3584121*w**2\/5 + 2*w\/5 = 0 for w.\nAnswer: -1, -1\/1792060, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3+-902029970855\nAnswer: -902029970858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 77*n - 69*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 2*m - 3. Suppose -4*w - 1 = -9. Calculate l(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1061 = -3*g, -5*g + 1 = -14. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5864.27 rounded to the nearest ten?\nAnswer: -5860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 6*a + 6. Let u be v(-5). Let x be -3 - ((-139)\/3)\/u. Let y = x + -43. Find the common denominator of -62\/3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 12. Let i(k) = k**3 + 3*k**2 - k - 1. Let n be i(-2). Let u be z(n). Solve -16 + 3 = -3*x - 2*f, -2*f = -u*x + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 + -105. Let q(b) be the third derivative of b**5\/60 + 11*b**4\/24 + 11*b**3\/6 - 166*b**2. Calculate q(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/23 - 202165980*q\/23 + 202165982\/23.\nAnswer: -2*(q - 1)*(q + 101082991)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 12.00112. What is t rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - x - 5 + x. Let t be q(4). Let c be (0\/(2 + -3))\/(-1). Put c, t, 2 in ascending order.\nAnswer: c, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/9 + 17212*t**2\/3 + 137600*t + 825408.\nAnswer: 2*(t + 12)**2*(t + 25794)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 + 49*n + 4. Let a(h) = -14*h**2 - 146*h - 11. Calculate 4*a(p) + 11*r(p).\nAnswer: -p**2 - 45*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*c = 443138 - 1428930. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.5, 6\/73, -4, 2?\nAnswer: 6\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/6 (c) 17 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58544 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 20 = -7*o. What is the second derivative of -u**3 - 2*u + u**3 + 4*u**3 + o*u**3 wrt u?\nAnswer: 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*l**4 - 1822*l**3 - 26*l**2 - 4002*l - 692 wrt l.\nAnswer: 1212*l**2 - 10932*l - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 10*f**2 - 100*f + 498. Calculate r(7).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 0 + 0 + -1 + sqrt(363) + 1)*-6*2 + 0)**2 + -2.\nAnswer: 209086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -389*o + 136*o + 142*o + 110*o. Let v(r) = 36*r - 33. Let q(j) = j - 1. Let u(h) = 66*q(h) - 2*v(h). What is u(w(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 3*w**2 - 2*w + 2. Let y be d(-3). Suppose -5*v + 30 = -0*v + 5*b, -5*v + 4*b = -48. What is the greatest common divisor of v and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/7 + 2296844\/(-28). Let h = v - -47030. What is h rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207 - 193. Solve 2*l - w = 2*z, z = 2*l - 2*z - 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/74 and 5\/34696?\nAnswer: 1283752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/48 and 101\/109116.\nAnswer: 436464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.3, 0.003, 1, -29, 5, 0?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -3 + 1\/3*v**3 + v**2 + 2*v + 1\/4*v**4. Let t(f) = 2*f**3 - f - f**2 - 3*f**3 + 0*f - 1. What is l(j) + 2*t(j)?\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1481, -49, 0 in increasing order.\nAnswer: -1481, -49, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667703216.\nAnswer: 2, 41731451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/15 - (2 - 3). Suppose 2*a - 360 = -a. Let d = 838\/7 - a. What is the closest to d in 2, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/40*105\/2. Let n = -2 + j. Suppose -3*l - 5*z + 132 = l, 4*z = 2*l - n. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -12*x**3 - 3*x - 3. Let j = -94 + 93. What is the units digit of f(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168456 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 6*g - 52. Let c be x(11). What is the closest to 4 in 2\/17, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15608 is divided by 274.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)**(-2\/23)\/(v**(-4\/7)*(((v\/(v\/(v\/(v*(v\/v**2*v)\/v*v*v)*v)))\/v)\/v*v)\/v))\/((v**0\/v*v)**(4\/19)\/(v**(2\/7)\/v**4)) assuming v is positive.\nAnswer: v**(-156\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012020022222200 - 0?\nAnswer: -2012020022222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + m - 1512 - m + 1512. Let o(k) = 24*k**2 - 11*k. Determine j(o(v)).\nAnswer: 24*v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - (0 - 2\/(-1)). Let b(m) = m**2 + 17*m - 26. Let f be b(-14). Let k = 110 + f. Calculate the greatest common factor of c and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-413)\/2*(-20 - 1200\/(-70)) - -5. Calculate the greatest common factor of d and 665.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h - 6. Let p be d(8). Let n = 13 - p. Let s = 113 - 104. Calculate the lowest common multiple of s and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 0 + 1 + 2*y - 10. Does 5 divide b(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -77*d + 629 - 5095 + 708 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(275) + 0))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-210)\/51 + (-24)\/(-6). Let z = -45 + 137\/3. Which is the third biggest value? (a) z (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/15)\/((-4)\/(-6)). Let p(z) = -z**3 + z**2 + 1. Let x(b) = -5*b**3 - 4*b + 11. Let r(k) = d*x(k) + 6*p(k). Is r(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x - 33 + 52\/15*x**3 - 6\/5*x**2 - 4\/5*x**4. Suppose u(s) = 0. What is s?\nAnswer: 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/2)\/(1\/6)*(116844\/(-8025))\/(-182).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 7*n + 4. Let w be v(3). Calculate the lowest common multiple of 1 and w\/(-21) + 12\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10345.5 + 20138. What is s rounded to the nearest 100?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-159 - 325 - 166 + 465)*(-2*v + 3*v + 2*v) in the form j*v + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*sqrt(7) + sqrt(252)*-5 + -5.\nAnswer: -12*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*f = -3*f - 495, -3*i = 5*f - 345. Suppose -30 = -p - 4*x, 7*p - 3*p = -2*x + i. What is the greatest common divisor of 20 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86147 divided by 1?\nAnswer: 86147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33761908 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -0.3. Let b = 21 - 19. What is the nearest to 0.1 in b, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1443 = 3*p - 2*z, 1924 = 4*p + 4*z. Let o be (-3)\/10 + p\/(-130). Which is the third smallest value? (a) -0.5 (b) 3\/8 (c) o (d) -2\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 36 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b\/b**0)\/b*b**(-4)*b**0\/b**2 assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -248\/405 + 1\/81. Let i = -3762.5 - -3762. Let f be (1\/(-4)*3)\/(-3). Sort v, f, i in increasing order.\nAnswer: v, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 94.\nAnswer: -37.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6712903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -577 + 1135 = 13*v - 716. Let f(z) = -2*z**3 + 2*z**2 + 3*z + 2. What is the remainder when v is divided by f(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-9))\/(50\/10)*60\/(-78).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2. Let t(s) = 6*s + 2*s + 10*s - 19*s. Give t(u(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2195660754?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -280b7 (base 13) to base 4\nAnswer: -102101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - v**2 - 9. Calculate n(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggpggpg. Give prob of picking 1 g and 2 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-8) - (-5411)\/(-28))*-2. What is the greatest common factor of h and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -11*x + 6. Let l(u) = 340*u - 187. Let q(g) = 6*l(g) + 187*p(g). Let r(h) = 2*h**2. Calculate r(q(n)).\nAnswer: 578*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:54 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((5 - 4) + (-1746)\/1749) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*l**2 + 80 - 2*l - 79 - 4*l**3 + 2*l**4 - 4*l**4 to p*l**3 + n + d*l**4 + m*l**2 + j*l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -3\/99339640?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(25\/90) + (-9562245)\/85225.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2 = -4*d, -6 = 2*d - n - 0. Let i(r) = -13*r + 8. Let k(f) = 3*f - 2. Let a = -16 - -7. Give a*k(t) + d*i(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from vvvtbvobh.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1259 divide 2939858166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1143 = 37*t + 2*r, 3*t - 1627 = -2*r - 1538 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 4*w + 5. Let l be c(-5). Let h be 1\/((-1)\/3 - l). Is (326 - (2 - 2)) + h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -7*o - 25. Suppose -r - 4 = 3*l, 0*l = -l + o*r + 20. Let x(q) = q + 4. Give x(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2109 is divided by 440?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2814 by -37.\nAnswer: 2814\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -899065*r**3 + 899065*r**3 + 1 - 68*r**2 - 1904*r**6 wrt r?\nAnswer: -228480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**4 - 4*j**3 + 4*j**2 + 14*j - 31. Let d(s) = -6*s**4 - 5*s**3 + 5*s**2 + 13*s - 32. Let l(f) = 5*b(f) - 4*d(f). Differentiate l(t) wrt t.\nAnswer: -4*t**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-5)*((-295)\/40 + 8). Which is the closest to -1? (a) 2.6 (b) 2\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 22. Calculate the remainder when 56 is divided by m(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31292288 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let h(i) = -8*i**2. Let o(b) = 4*b - 9*b - 12*b - 2*b - 4*b. Determine o(h(p)).\nAnswer: 184*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a century in years?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 531317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850664.\nAnswer: 2, 113, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181479\/71 - -2556. What is the third biggest value in -4\/7, x, -2, -4\/9?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s. Suppose -8*x + 4*x + 4 = s. Let m = 2 - 3. Sort x, -5, m in increasing order.\nAnswer: -5, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.06626g to milligrams.\nAnswer: 85066.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 11*b**2 - b + 1. Let m(n) = n**3 - 5*n**2. Let o(l) = 5*m(l) - 2*w(l). Let j be o(2). Let f(z) = -2*z + 2. Give f(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from {x: 2, g: 5, m: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 less than 1.75?\nAnswer: -14.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 11*y**2 - 17*y + 2. Let r be h(-9). Let k = r - -19. Let o(t) = -2*t - 8. Let i be o(-6). Sort k, i, -2.\nAnswer: -2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(11 - (-2681)\/(-245)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 2565950?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4578863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 60*m**2 - 132*m.\nAnswer: 3*m*(m - 2)*(m + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65680014 to the power of 1\/2, to the nearest integer?\nAnswer: 8104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**8\/840 - k**6\/300 - 3*k**2. Factor a(q).\nAnswer: 2*q**3*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:57 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 - 42*l**2 - 45*l - 26. Let o(f) = 2*f**3 - 20*f**2 - 22*f - 13. Let m(u) = 3*d(u) - 5*o(u). Determine m(-25).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 582.7299 minutes?\nAnswer: 34963794000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5753, 5898, 6095, 6350, 6669?\n\"Answer: k**3 + 20*k**2 + 78*k + 5654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -237929 (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*o = 40, 0 = 5*p - 7*o + 3*o - 66. What is the remainder when 48 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1334499.446031 + -131.\nAnswer: -1334630.446031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/21 - -104\/105. Find the common denominator of -62\/27 and h.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i + 28*i = 4. Let b(f) = -13*f + 5 + 7 - f**2 - 2 - i. Calculate b(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 5*y**3\/6 - 11*y. Let u be f(1). Suppose -17 - 8 = -u*d. Solve -g + d*g + 4*o + 4 = 0, -2*g + 4*o - 26 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**2 + 2810*p - 74996 with respect to p.\nAnswer: -2*p + 2810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432725.\nAnswer: 5, 19, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0. Let z be (-6)\/(-70) + (-10)\/35. Suppose -5*s + 2*s - 2*o = -11, 0 = -3*o + 12. What is the nearest to s in l, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n + 22. Let a be g(7). Let t = a + 50. What is the second derivative of 4 + 9 - 11*u**t - 2*u - 13 wrt u?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 n when four letters picked without replacement from {n: 5, o: 13}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 376610 = 4*i - 4*z, -i - z + 94151 = 0. Let h = i + 3212. Suppose 6*o = 29235 + h. Round o to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21.69002t?\nAnswer: 21690020000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 x, 1 g, and 1 t when four letters picked without replacement from xgxtcgo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -345*q + 31002790 + 5473025. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeevviveeveeivee. Give prob of picking 1 v and 2 e.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.593204447 and -0.02.\nAnswer: 3.573204447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*(f\/(f**13*f))\/f)*f\/(f**16\/f)*(f**17*f)\/f*f**(14\/5) assuming f is positive.\nAnswer: f**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -18 + 13*c**2 + 8\/3*c**3 + 0*c. Let m(q) = -q**2 - 3*q. Determine 6*i(j) + 52*m(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 775450626*t**2 + 308322175 with respect to t.\nAnswer: 1550901252*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 11*g**2 - 26*g. Let x be y(6). Let z be (x\/72)\/(1*2\/21). Calculate the greatest common divisor of z and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*u - 21 = 3*i + 219*u, -2*u - 2 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 38*f - 153. What are the prime factors of k(17)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8778.5 - 8778. What is the closest to 349 in 2\/15, 0.2, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h + 2. Let j(i) = 37 - 37 + h*i**2. Let y(a) = -a. Determine y(j(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -921*r - 165*r**2 - 945*r + 1866*r.\nAnswer: -165*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 106. Suppose j = 3*i + 30 + 10, -2*j + 5*i + z = 0. Let l = -19 + j. What is the least common multiple of l and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.69999684 + -20.7. Round q to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60456, 120931, 181408, 241887, 302368, 362851?\nAnswer: 423336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181 - 133 - 165 - 2*l - 123 to x + z*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 7:18 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6357366 divided by -8343\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 + 176*k**2 + 2560*k + 12288 = 0. What is k?\nAnswer: -16, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212*h**3 - 6*h**2 + 5 - 5 + 217*h**3 to the form q*h**3 + g + z*h**2 + b*h and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(833)*-3)**2 + -3 + (((sqrt(187) - (sqrt(187) - (sqrt(187) + 2*(sqrt(187)*-1 - sqrt(187))))) + sqrt(187))\/(sqrt(55)\/sqrt(20)))**2)*4.\nAnswer: 31064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 138407 (b) -4 (c) 3\/8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i + 103. Let y(a) = -5*a - 52. Determine -3*m(l) - 5*y(l).\nAnswer: -2*l - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14329756 and 8428?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -30*g - 52 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-1)*y))\/y)\/((y\/y**(1\/9)*y)\/y*y))\/(y\/y**(-1\/9)*y**(-1\/2)*y)*(y*y\/(y\/y**0*y*y)*y)**(-6)*y*y\/(y*y**4\/y)*y**(2\/3) assuming y is positive.\nAnswer: y**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1325\/7 - -189. Which is the nearest to z? (a) -2\/5 (b) -0.3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401416766.\nAnswer: 2, 59, 277, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-820)\/590 + 8*4\/16. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.04 + 5. Let x = 0.04 + r. Suppose 4*d = s + 3, -5 + 3 = -2*s. Which is the closest to -0.1? (a) x (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-54)\/2616)\/(3\/(-8)). Let w = 211\/1853 - j. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 8. What are the prime factors of m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -36*l**2 - 7*l. Suppose 0 = -3*v + 2*v + 83 - 90. Let y(u) = 35*u**2 + 6*u. Calculate v*y(o) - 6*t(o).\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100 + -330333?\nAnswer: -323233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 13*c**2 - 2 - 14*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1611 - -1186. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/91, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -2*f - 0*f. Let g be (1142\/(-4))\/(f\/3). Let d = 83\/2 - g. Is 2 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27710.\nAnswer: 2, 5, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 235, 265, 317, 397?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -3\/2, 5, 7 in ascending order.\nAnswer: -3\/2, -2\/9, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8639042 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-3\/4))\/b**(-2))**(1\/5)*(b**(-1\/7)\/b*b**(-9\/2))**(-19) assuming b is positive.\nAnswer: b**(15073\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 61 = -19. Let f = n - -11. Let j be f\/77 + 2\/(-11) + 23. Calculate the highest common divisor of j and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -835\/2 or -419?\nAnswer: -835\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:44 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 721 - 280. Let q = d - 441.517. Let l = 0.017 + q. Sort 2\/5, 0, l in increasing order.\nAnswer: l, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9056\/(-3396)*(-9)\/16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4 - 20270*n**3\/3 + 1110*n**2 + 81080*n\/3 - 4504 = 0. Calculate n.\nAnswer: -2, 1\/6, 2, 1689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21445, -45627, -69805, -93979, -118149, -142315?\nAnswer: -166477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 11*l**2 - 25*l + 10. Suppose 5*f - 37 = 3*x, -f + 9 = -x + 2. Let v be z(f). Suppose 12 = -u + v*j - 3, -3*j = -6. Is -9 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2067 and 234.\nAnswer: 12402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(7)*1*-1) - (-1*sqrt(208) + -2)) + (1*-3*(sqrt(13) - sqrt(117)) - sqrt(104)\/(sqrt(1152) - sqrt(1152)*-1)).\nAnswer: 2 + 215*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -28930900 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313, 623, 933, 1243?\nAnswer: 1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-183)\/122)\/(6\/(-160) - 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135693 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:44 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11505)\/295*(-76)\/24206?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 16 = 3*f - 12, 4*r = -4*f. Let z(t) be the third derivative of t**5\/6 - t**4\/4 - t**3 + 1584*t**2 + t. What are the prime factors of z(r)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 196, 0.005, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5}. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 6, l: 5}. What is prob of sequence elhe?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318964 is divided by 19981.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + k - 3007 = 0, 3984 = -h + 5*h - 5*k. Let o be (-1 - 3) + h\/242. Let p be (20\/(-8) - -2 - 0)*-2. Is o at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -16, 5*u - 20 = 5*r + 15. Suppose -5*i + 13 = -g, -2*i - 2*g = -u*i - 1. Suppose j - 2*x + 156 = 5*j, i*j - 3*x - 99 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 98, 91, 82, 71, 58, 43?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.9 times -689?\nAnswer: 20601.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127539129.\nAnswer: 3, 29, 641, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4885 or -4950?\nAnswer: -4885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**5)**44 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - 4. Let l = 27 + n. Which is the closest to 0? (a) 1\/3 (b) 2\/15 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgtgtgtgxg. Give prob of picking 1 t and 3 g.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**3 + 2*m**2 - 2*m + 2. Let a be t(2). Suppose -8*x + 18 = -a. Differentiate -6 + 3 - x - 4*w**3 with respect to w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1230.238 and -0.179.\nAnswer: 1230.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/35))**(-27) assuming k is positive.\nAnswer: k**(27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/2)\/(6\/1). Let d = -8 + 7.7. Which is the third smallest value? (a) d (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6306036187 rounded to 5 decimal places?\nAnswer: -0.6306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 572173.1um to meters.\nAnswer: 0.5721731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-111)\/(-5))\/(7\/35). What is the remainder when 34 is divided by s\/12 + 1\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -269*a + 80 wrt a?\nAnswer: -269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/42 and (-22)\/(-9)*792\/3840.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + (-21)\/9. Let t(j) = -j**3 + 2. Let y(v) = v**3 - 1. Calculate w*y(c) - t(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2988 and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - c859?\nAnswer: -c85a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 18 = 3. Suppose -x*h = 174 - 51. Let o = -38 - h. Solve -2*q - 3*v - o = -0, 3*v + 6 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 + -714. Let h be (8\/(-12))\/(3*2\/k). Calculate the greatest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5622 and 780?\nAnswer: 730860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 3, 8 in ascending order.\nAnswer: -2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(4 + -56) - 126\/(-9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (13\/6 - 2)\/(20\/645). Let f = -2 + 3. Which is the second biggest value? (a) 2 (b) r (c) -0.3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285456 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66898134 and 24462.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 3*d + 1. Let n(u) = -5*u**2 - 48*u - 7. Determine 2*n(r) + 6*v(r).\nAnswer: 2*r**2 - 114*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*a + (3 + 1 - 6)*(2*a + 4 - 4) + 4*a - 3*a - 3*a)*((a + 5*a - 4*a)*(-5 + 3 + 1) + (-2 + 0 + 0)*(-25*a - 7*a - 6*a)).\nAnswer: -296*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 6*a + a + 42, -71 = -5*f - 4*a. Let d = f + -1. Let j(g) = 2*g + 2. Let s be j(4). What is the highest common factor of s and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -282183840, -282183835, -282183828, -282183819, -282183808?\n\"Answer: z**2 + 2*z - 282183843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. What is the lowest common multiple of b(3) and (-6)\/1*(-3)\/(0 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 2*v = -17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14311.43 rounded to the nearest 100?\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r**2 - 3*r - 1. Determine s(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 13) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from {y: 3, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 4 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 1043.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3036246*i**3 + 3988824*i**2?\nAnswer: 18217476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(3 + (-1 - -1)). Let l be (2 - d\/3)\/2. Let r = -1 + l. Which is bigger: r or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111181 - 111104. Suppose -3*r + 740 = 5*f - 8*r, 0 = -5*f - 2*r + 754. What is the remainder when f is divided by g?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*h - 11434 - 16466 = 0. Calculate the smallest common multiple of h and 175.\nAnswer: 5425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.49 (c) 4 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - r**2 + 2*r + 25. What is the units digit of i(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13965 divided by -7?\nAnswer: -1995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 30. Solve 25 = -3*r + m*i, 5*r - 3*r + 5*i - 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -17 - 39*i + 2*i + 29*i + 9*i. Let m(d) = -5*d - 3. Let x be m(-2). Determine h(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23414, 46853, 70292, 93731, 117170?\n\"Answer: 23439*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.1857514.\nAnswer: 0.7430056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r**2 - 8*r. Let b(d) = 4*d**2 + 3*d. Let o(q) = -8*b(q) - 3*u(q). Let t(i) = 3*i**2. Calculate t(o(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/7 + 2164*c**3\/7 + 1170724*c**2\/7.\nAnswer: c**2*(c + 1082)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 6:13 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -3 + 4 + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = -2*m + 173. Let c be 1\/m - (66\/(-9) - -7). Suppose -y + 19 = 5*n, 4*n = 5*y - 5 - 3. What is the nearest to -2\/7 in c, y, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 7)*(-1)\/2. Suppose -5*c = -2*o - 113, 7*c = p*c + 4*o + 65. Let r = c + -18. Let a(k) = -k**2 + 5*k + 2. Determine a(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4139642 + -4.\nAnswer: -4139646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19548995, -19548993, -19548991?\n\"Answer: 2*f - 19548997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30081 - 19520 + 45495 = -4004*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -519500 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 99.7 times -0.2131\nAnswer: -21.24607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - -29. Let m = -47 - d. Solve 2*w - 2 = -3*z + 1, 5*w + 2*z = -m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 149*p + 10. Let g(s) = s**2 + 49*s + 4. Determine -10*g(t) + 3*v(t).\nAnswer: -t**2 - 43*t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5872858402 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -432, -630?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -433, -1720, -3859, -6844, -10669, -15328, -20815?\n\"Answer: r**3 - 432*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1065 and 2343?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148.99999646 + 149. What is f rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 823*c**7\/42 + c**6\/15 + c**5\/10 - 95*c**4\/6 + 10*c**3\/3 + 9*c - 538. Find the third derivative of h(q) wrt q.\nAnswer: 49380*q**2 + 48*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-6)*(17 + -13 + -2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 8100077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.4, 7\/9, 3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*l + 3*l. Let f be (-26625)\/5375 + 4\/(-86). Put f, -11, -2, l in increasing order.\nAnswer: -11, f, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 = 4*p. Let q be 2\/p*(-24)\/(-2). Let r = -3 + q. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -288, -46666, -3 in decreasing order.\nAnswer: -3, -288, -46666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*k + 108 + 758 = 0, -442 = 2*j - 2*k. Let y be (j\/6)\/((-2)\/(-4)). Round y to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190181?\nAnswer: 190181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78, -125, -196, -285, -386?\n\"Answer: s**3 - 18*s**2 - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 3*m + 0*m + (6*m - m + 7*m)*(-6 + 2 + 2).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14344*i**3 + 1698?\nAnswer: -43032*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1674 and -101\/162.\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 - 1622*j + 18. Let s(q) = 5*q**2 + 3243*q - 33. Give -6*s(g) - 11*x(g).\nAnswer: 3*g**2 - 1616*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 9. Let f be (-2)\/5*76 + 4\/10. Is (-44330)\/f + a\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*k = 0. Suppose -v + 3*w + 8 = 0, v + 4*w + w + 8 = k. Solve -v*c = -3 - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*s + 5. What is the remainder when 48 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-35)*2\/(-1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 694 - -35961. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.55951 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3023576?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 74.20916nm?\nAnswer: 0.00000007420916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.94 + -0.06. Which is smaller: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10793963 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 32, 61, 112, 191?\n\"Answer: l**3 + 2*l**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 7*i. Suppose -2*x = x + 3*d + 30, -18 = x + 3*d. Let k be n(x). Suppose -5*h = 2*o - 22, h = -k*o + o + 9. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) 1\/12 (c) 1\/4 (d) -8 (e) -2750 (f) 4 (g) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 741 - 737. What is the highest common factor of p and 932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d = 20*d + 210. Suppose -2*l - 5*r = -0*l + d, -4 = 3*l + 2*r. Find the third derivative of -5 - q + 52*q**5 + 5 - 3*q - q**l wrt q.\nAnswer: 3120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33532 and 415?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 247655 and 12.\nAnswer: 2971860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, g: 2}. What is prob of sequence hghh?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*t - 398, 3*j = -3*t + 4*t + 625. Suppose -2*b - j = -3*y + 73, 20 = 5*b. Suppose -y = -0*h - h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*t = 480*t - 7300 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 105\/(-252) - (-755785)\/60. Calculate the highest common factor of m and 376.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 18*f - 2451. Calculate j(-37).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7088\/(-1772)*3*-2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (44 + -42)\/((-2)\/(-584)). Suppose z - 3*x + 587 = -w, 4*x + 2372 = -2*z. What is z rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3164 - -3166. Determine m, given that -2\/5*m - 2\/5*m**v + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8919*h = -1232673 + 99960 for h.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16628951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w**4 + 517590*w**3 + 789903*w**2 + 272370*w = 0. What is w?\nAnswer: -9079, -1, -10\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 170185.4ug?\nAnswer: 0.0000001701854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-17)*a)**(-11)*(a*a**(-7)*a)**(1\/24) assuming a is positive.\nAnswer: a**(4219\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 - i**3)*(-1 + i + 1) + (3 - 3 - i)*(-6*i**3 + 2*i**3 - 5*i**3).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j - v = 91, -2*j - 5*v - 103 = 0. Let n = j + 70. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8 - 350\/(-49))\/((-1)\/161)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzrqrzzqqrrrzzzrrz. What is prob of picking 1 r and 3 q?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 344783340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okd when three letters picked without replacement from {k: 3, o: 6, d: 4, m: 7}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5*h - 25 - 5 = 0, -3*n + 3*h - 6 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**4\/12 - 3*u**3\/2 - 5*u**2 + u + 3. Let h(y) be the first derivative of n(y). Let s be h(-7). Solve -15 = s*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 11*l + 31. Let g be i(-8). What is the greatest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -0.54 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*h + 6334997, 3*h + 2*b - 3801012 = 6*b. What is h rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.7 - -8.81. Let a = -52\/9 - -181\/36. Let k be (0 + -2)*(-4)\/(-24). What is the second smallest value in a, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.028 (c) -0.4 (d) -531 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 17*f**2 + 18*f + 9. Let t be k(-18). Solve -t = 4*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 533*f. Let w(h) = 19*h. What is 6*c(l) - 169*w(l)?\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/(-152))*(999\/74)\/27?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-54)\/15)\/((-6)\/(-15)). Is -8 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29788 <= 29853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 210885621 to the power of 1\/2, to the nearest integer?\nAnswer: 14522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -796230 divided by 2?\nAnswer: -398115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 147*o - 150*o + 156. Calculate the remainder when o is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178548478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 76*m + 40. Let y(l) = -25*l - 14. Calculate 6*n(g) + 17*y(g).\nAnswer: 31*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5334475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:19 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = o. Let n be o\/2*2\/6. Let w be (n\/(-2))\/((-3)\/(-24)). Let m(d) = -d**2 - 4*d + 4. Give m(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17544?\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7347 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 6, j: 3, r: 2}. Give prob of sequence ursu.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368*u - 21654 = -33*u. Solve 126 = -30*k - u for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pphp when four letters picked without replacement from ppapahaaap.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = 0, 6*d - 3*d + 5*j = 8. Let s(c) = -9*c - 7. Let z = -19 - -22. Let r(w) = -2*w - 102 + z*w + 103. Calculate d*r(h) + s(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 + 43*y + 3.\nAnswer: 43*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580 = 54*n - 148 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 22*j - 23*j - 18, 0 = -r + 4*j - 3. Solve -3*t + 1 + 5 = 2*a, 2*t - 23 = r*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 4*k - 64. Suppose t + 3*t = -k. Let z(p) = 14*p - 14. Let m(w) = 5*w - 5. What is t*z(l) + 11*m(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1646358 (base 12) to base 11\nAnswer: 2643670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -111 in 5, 0, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 167*c**2 - 173*c - 1053. Determine v(-168).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 400*s - 8. Let l(q) = 401*q - 10. Let a(v) = 3*l(v) - 4*m(v). Is 19 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -89*a**4\/2 - a**3\/3 + 6*a + 81. What is the third derivative of c(h) wrt h?\nAnswer: -1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 16, -2, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.56.\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.047848 and -523.\nAnswer: -510.952152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (10*-3 - 2). Let f = h - -58. Suppose -f = -2*q - a, 3*a = -1 + 10. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4117 + 4173. What is the remainder when 444 is divided by w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)\/d)**(-3\/13)\/((d**(-7)*d)\/((d*d**(1\/12))\/d)) assuming d is positive.\nAnswer: d**(973\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.11032644 + -7.589673084. Let m = 19.7 + q. Round m to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -560 - -556. Is m <= -11\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 9 - 20 + 29.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 317898321883 and 0.2?\nAnswer: 317898321882.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 2 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/10)\/u**(-5))\/(u**(1\/5)*u**(-5\/3)*u) assuming u is positive.\nAnswer: u**(161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101880049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1012 - 349. Suppose 232 + t = -s. Round s to the nearest ten.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*g = -3*g - 2358, 3*g - 3954 = -5*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29\/(-7) + 2\/14. Let f = 0 - c. What are the prime factors of f\/6 + (-1183)\/(-21)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3. Let j(s) = -s**2 + s + 1. Let f(a) = a**2 - 5*a - 3. Let l be f(6). Let y(v) = l*j(v) + m(v). What is y(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of (-1 - -361)\/((-42)\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**3 + 5*b**2 + 9*b - 6. Let d(g) = 4*g**3 + 3*g**2 + 5*g - 3. Let q(n) = -11*d(n) + 6*o(n). Let l = -235 - -232. What is the units digit of q(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3972 at least -3971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 4, -5, -2, -4 in descending order.\nAnswer: 22, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56674699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036951417 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051011490 take away 1?\nAnswer: 1051011489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26607 - -5265756804.\nAnswer: 5265756804.26607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1324, 2647, 3970?\nAnswer: 5293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/6 and 317\/80 - (-6)\/10.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 24*n - 7. Let v(w) = 5*w**2 + 49*w + 15. Let g(f) = 9*r(f) + 4*v(f). What is the hundreds digit of g(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 474*x + 473*x + 14, 4*r - 7 = x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, 1676, 7\/34 in ascending order.\nAnswer: 7\/34, 1.9, 1676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16262 and 2402624?\nAnswer: 112923328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03 and 3139.\nAnswer: 3139.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 63 = 4*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - -164700?\nAnswer: 164662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*a + 48705 + 41931 = -60408. What are the prime factors of a?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45396 by 468.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7736.9994523 + 7737. What is z rounded to 5 decimal places?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:27 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-45)\/2)\/(-5)*2. Let m be 36 - (2 + -2)\/2. Calculate the highest common factor of m and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 at least as big as 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3) + -3 - -8 - (-18 - -25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 201122012212222 (base 3) in base 7?\nAnswer: 154464323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100112031 (base 5) in base 4?\nAnswer: -1200112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 1232.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/678 and -157\/24540.\nAnswer: 2773020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1923321236?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(sqrt(288) + (sqrt(288)*2 + 0)**2).\nAnswer: 72*sqrt(2) + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 f when four letters picked without replacement from fmffmymmfmyymmy.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 1, c: 7, l: 3, q: 1}. What is prob of sequence cq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 195? (a) 0 (b) -2\/5 (c) 0.04 (d) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 0)*(4 - 2 + 1)*(-2*k - k - k) as c*k + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 10*v - 1. Calculate r(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 2646.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2 - 3 - z**2 + 6*z**2 + 6*z - 7*z. Let w be r(-1). Suppose -w*x + 4 = -3*x. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3105877.6 and -0.06.\nAnswer: -3105877.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**4 - 7 - j**3 - 1 - 22 + 9 - 9 as f + c*j**3 + i*j**4 + t*j**2 + r*j and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116.191 + -0.191. Let a = 194 - g. Let d = 78.0000063 - a. Round d to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/7)*j\/j**(2\/15)*(j*j\/(j\/j**(-4)*j))**34)**33 assuming j is positive.\nAnswer: j**(-155914\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 740\/(-800) - 2\/(-16)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**6\/120 - 4*f**3 - 11*f**2 - 31. Let k(y) be the second derivative of a(y). Find the first derivative of k(u) wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + 19. Suppose -5*j + 267 = m. Suppose -t + 22 = 4*y, 0 = 3*y + 3*t - 18 + 15. Calculate the remainder when j is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + 0.08. Let f = -41 + 43.3. Let h = f - 0.3. Which is the closest to g? (a) -0.4 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 323\/10 - 63\/2. Which is the second smallest value? (a) -2 (b) 1\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 433\/12 - 36. Let u(z) be the third derivative of 5*z**2 - 1\/60*z**5 + 0*z**4 + 0*z + f*z**3 + 0 + 0*z**6 + 1\/420*z**7. Solve u(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 11 = -6*w + 3*q, 0 = 4*q - 4. Solve 0 = 4*h + 8 + w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 154957\/1972 or 78?\nAnswer: 154957\/1972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3501748, -3501752, -3501756, -3501760, -3501764, -3501768?\n\"Answer: -4*m - 3501744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/18*-1*2310\/33\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30054*u**2 - 367*u + 2265*u**4 - 380*u - 30054*u**2 + 60108*u**2 wrt u.\nAnswer: 27180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.4, -293, 72?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3983 + -3983. Which is the nearest to y? (a) -1\/3 (b) 114.8 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 159024*z - 2107386048.\nAnswer: -3*(z - 26504)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*4*-2*322\/28014*348?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -19. Let h be 8\/(-3)*24\/z. Find the first derivative of 12*s**h + 1 + 4 - 47*s + 47*s wrt s.\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -29, 8, -3, 384, 0 in decreasing order.\nAnswer: 384, 8, 2, 0, -2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 - 4.2. Let m = -13.6 + u. Let z = 15 + m. Is z != 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjfri. What is prob of picking 1 f, 1 i, and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1170\/30 + -44 + 44 + -1 + -1\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4)*10*-4. Let z be (s - -11)\/(2\/12). Solve 25 = z*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*z**3 + 585*z**3 - 121*z + 200*z - 79*z.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.07, 0.15, -5, -917.\nAnswer: -917, -5, -0.3, -0.07, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -157*r - 91. Calculate x(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -35*q**3 - 463. Let u(v) = -2*v**2. What is u(x(n))?\nAnswer: -22050*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*o - 4*f, -3*o = -f + 3*f - 12. Suppose -5 = -o*z - k, 3*k + 10 = z - 1. Suppose -z*s = -15 - 17. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*k**2*r**2*x**2 + 25*k**2*r*x - 2*k**2 + 11*k*r*x**2 + 32*r**2*x + 3*r*x**2 wrt k.\nAnswer: -42*r**2*x**2 + 50*r*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45726 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -5449755?\nAnswer: -5449757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 37*t - 253. What is x(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4044 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/2, -3\/8, 0.3, -0.32, 15, -39, -2\/31?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 e when four letters picked without replacement from {j: 2, r: 2, o: 3, k: 8, e: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24909*b**5 + 1189*b + 2 wrt b?\nAnswer: 498180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*y = -15*y - 250 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9361, -37055, -83219, -147853, -230957, -332531, -452575?\nAnswer: -591089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + (-69)\/(-12))\/((-2)\/8). Let c = z - -125. What is the remainder when c is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 19*s + 5. Let o be z(-17). Let q = 58 + o. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-5)*(-2)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12076*c + 287 - 6039*c - 6039*c - 287.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1659247?\nAnswer: 541, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**5 - 140*b**4 + 292*b**3 - 148*b**2 = 0. What is b?\nAnswer: -37, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjggggggjggggg. Give prob of sequence ggg.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 14*b**6\/15 + b**5\/60 + 155*b**3\/3 - 45*b**2. Differentiate k(t) wrt t.\nAnswer: 336*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 25*x + 3551. What is i(-142)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 213 + 2?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.36 and -319098.84533.\nAnswer: -319098.48533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = r - 3*f, -2*f - 254 = -3*r + 6*r. Let z = 237 + r. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/4 + 11*y**3 - 18*y**2 - 142*y - 15. What are the prime factors of i(-33)?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -3*o**6\/10 + 13*o**5\/10 + 17*o**4\/12 - 99*o**2\/2 + 4*o - 221. Find the third derivative of v(a) wrt a.\nAnswer: -216*a + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*r + 3 - 102*r**4 + 0*r**3 + 104*r**4 + 2*r**3 + 2*r in the form h*r + l + w*r**4 + c*r**3 + k*r**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -280746\nAnswer: 1\/280746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*s + 3*s + 7*s)*(-2 + 1 + 2)*(-2 - 4 - 1).\nAnswer: 126*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 12710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m = 0. Let f(t) = -5*t - 47. Let s(k) = -2*k - 16. Let j(q) = -3*f(q) + 8*s(q). Determine j(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 160*m - 156*m - 52, 2*m = p - 34 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/264)\/(1\/(6\/(-4)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7048*q**2 - 1636*q**2 + 9216*q**2 + 3345*q**2 + 3562*q**2.\nAnswer: 21535*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -106*k - 2. Let u(h) = -635*h - 11. Let t(p) = -34*q(p) + 6*u(p). Let g be t(-1). Suppose -15*m = -19*m + g. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 47946972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {k: 1, i: 12, w: 3, z: 4}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -381 - -382.17. Let i = n + -1.13. What is the closest to 0.1 in 2\/7, 2, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146 + 188 - 167 - 128*t**3 with respect to t.\nAnswer: -384*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2621696 divided by 266.\nAnswer: -9856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -498.31 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8844 divided by 134.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*b = -10, 3*i + 3*b + 10 = 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/140)\/(11\/(-330))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 22212102201?\nAnswer: -22212102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3220 and 28.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 110?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8\/7, -2, 2, 0.07, -53 in ascending order.\nAnswer: -53, -6, -2, -8\/7, 0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19186666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 7*f + 5. Let s be y(-4). Let t = s + 73. Let v be ((-2)\/2)\/(-1 + 64\/t). Calculate the greatest common divisor of 22 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 56.88037 milligrams?\nAnswer: 56880370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, 1 b, and 1 o when four letters picked without replacement from {k: 1, b: 1, u: 5, o: 3, v: 1, q: 3}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -4998*r**5\/5 + 4012*r**3\/3 - 2*r + 6080. What is the third derivative of q(o) wrt o?\nAnswer: -119952*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -10*f + 7*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 297874.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -15 - (-33 - -19)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 437 - 136 = 3*l, -5*m = -5*l + 745. Let v = m + 277. Suppose -4*w + v = g, -4*w + 5*g + 86 = -27. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, -7, -34, -81, -154, -259?\n\"Answer: -d**3 - d**2 - 3*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 18 = -4*g, 2*g = -i + g - 24. Let x = i + 33. Let f = x - 3. Solve -5*n + n - f = 0, 5*k + 2*n + 22 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 19572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/18 + 3399\/297. Let t(b) = -b**2 + 10*b + 16. Let k be t(a). Sort -2, -0.4, k, 3\/5 in ascending order.\nAnswer: -2, -0.4, 3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.182 - -0.07. Let c = g + -0.188. Let u be (4\/10)\/(3\/(-5)). What is the third biggest value in u, c, 13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(2 - 2*d - 2)*(-2860*d**2 - 182*d**4 + 2860*d**2).\nAnswer: 728*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 150 + -23. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*(i\/(i\/i**(2\/3)))\/i)\/i)**(-23)*i**(2\/7)*i*i**(-12) assuming i is positive.\nAnswer: i**(-547\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 3. Suppose 0 = -p + 7. Suppose 7 = -4*m + q - p, -2*m - 16 = 4*q. Is 11 a factor of u(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-44*n - 31 + 31)*(12 + 27 + 4).\nAnswer: 1892*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**7\/840 + j**6\/360 + j**4\/24 + 17*j**3 + 35*j. Let m(q) be the second derivative of f(q). Calculate m(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9992\/3 + -3231. Let w = k - 96. Suppose 2*y - 15 = -y. Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 178 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4620 + -8837. Let t = 8483 + x. Let p = t + -1807. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(15) + (sqrt(105) + sqrt(105)*-2 - sqrt(105))\/sqrt(7) + sqrt(15) - (-2*sqrt(90))\/sqrt(6))\/(-6*(5*sqrt(35))\/sqrt(7)).\nAnswer: 2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) -21 (c) 1\/554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*m - 1629 - 2642, -2*m = 3*k - 4241. Suppose 14*z - k = z. Suppose 5*v = -z + 679. What are the prime factors of v?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829332734.\nAnswer: 2, 97, 4274911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g - 6. Let z = -27 + 10. Let j = 11 + z. Let m(k) = 9*k + 7. Let d(c) = j*m(c) - 7*t(c). Let a(f) = 11*f**2. Determine a(d(h)).\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 7. Let y be c(-5). Let i be ((-2)\/4)\/(y\/12). Solve 2*m - i*m + 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214 - -215. Let z(q) = -6*q. Calculate z(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-5 + 1 + 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 17*c - 23. Let l be 1*(5 - -3)\/((-2)\/6). Let b be y(l). Suppose 107 = b*m - 144*m. What are the prime factors of m?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18619.5 - -18620. Let n = -3 - -2.8. What is the biggest value in 1\/9, -0.058, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*4\/(-12)*(0 + 41). Let v = g + 44. Suppose 1 = -3*s + 22. Solve v*q - 1 = -s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 16*m**2 - 15*m + 7. Suppose 0*g - 5*g = -130. Calculate the remainder when g is divided by w(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-1 - -9)\/4. Suppose y - 5 = 2*k. Let t be 0 - (-8)\/(k - -5). Solve t = v - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 10. Let p(j) = 12*j. Let u be p(3). Calculate the greatest common factor of u and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270109.\nAnswer: 7, 47, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agrppmrx. What is prob of picking 1 a and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 1 - (-2 - -2). Suppose m*a - 11 = -a. Suppose 2*d + 42 = 4*z, 5*d = -5*z + 3*d + 39. Calculate the least common multiple of z and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 936 - 817. Calculate the greatest common factor of i and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7245120 (base 8) to base 9.\nAnswer: 3545133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49268, 98518, 147746, 196952, 246136?\nAnswer: 295298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 1417536.\nAnswer: 1417536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6248.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1037 and 488?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9915080 divided by -136.\nAnswer: 72905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50.70254 - 50.71. What is l rounded to four dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*p + 27 = 0, 0*d + 4*p = -d + 33. Suppose 94 - d = 3*g. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:43 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3798?\nAnswer: 3803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 8. Let p be w(5). Suppose 4*f - 2*f = 5*q - 1098, 1099 = 5*q - f. Suppose -2*v + 182 = p*z, -3*z - z + q = -3*v. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(405) - (3 + sqrt(405) + 1))**2 - (2 + ((0 + sqrt(405)*1)*1)**2).\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 6. Let b = -5.8 - -6.2. What is the closest to y in -4\/7, b, -2\/15?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -14 (b) 2 (c) 7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 701, 3 in increasing order.\nAnswer: 0, 3, 701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 2 + 1 + 0*r**3 + 2*r + 3*r**2. Let i be t(-2). Suppose 5*x - 21 = -5*k + 24, 8 = -4*k. Solve f - 14 = 5*a, 3*f - f + x = -i*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/34743 and 4\/6605865?\nAnswer: 244417005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101289 is divided by 734.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503680.\nAnswer: 2, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + w - 3*w + 36, 0 = -3*b + 5*w + 3. Let q = b + -2. Suppose 2*u + 6 = -q. Put u, -2, 5 in ascending order.\nAnswer: u, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 4:52 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 211764 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7 + (-366)\/42 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 1:51 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2806 by 61.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.09 + -0.09. Suppose 14*k - k + 2184 = 0. Let s be 39\/8 + (-21)\/k. Sort s, u, 0.3 in descending order.\nAnswer: s, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*o - o + 4*o)*(0 + 3 - 2 + (-1 + 1 + 2)*(0 + 3 - 5) + 3 + 1 - 1 - 3 + 7 - 3 + 21 + 39 - 5) in the form b*o + v and give b.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/60*-3*3\/84*10.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -783*b - 16603. What is j(-21)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4357311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -24, 1\/3 in decreasing order.\nAnswer: 1\/3, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - 0.54. Let u = t - -0.6. Which is the second biggest value? (a) u (b) 2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*h + 32, 0*x - 4*h = 5*x - 36. Suppose x*d = d. Let a be 55\/11 + (-2)\/3*3. Solve d = a*r - f - 5 - 9, 2*r + 2*f = 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4 + 5 + d**2 - 2*d**2 - 5*d**3. Suppose -4*k + 5 = -9*k. Calculate r(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -203.5 - -38.5. Let f = 0.35648087586 + 164.64351793414. Let y = c + f. What is y rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*b + 3*w, 2*b - b + 5*w - 23 = 0. What is the common denominator of -7\/11 and 2\/8*(b - 2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/3)\/(q\/q**(-35)) assuming q is positive.\nAnswer: q**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**2 + 306*n + 310*n - 1265*n + 344*n + 305*n. Let f(d) = 322*d. Let v(k) = -17*k. Let l(a) = 4*f(a) + 77*v(a). What is l(s(j))?\nAnswer: -231*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18474879 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**3\/3 + 4*c**2 - 5*c - 3. Let o be q(6). Calculate the highest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.41 and -0.036833.\nAnswer: -0.27293253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3932508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 + (154 - 354) - (2 + 2 + -17 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1450*-0.2472.\nAnswer: 358.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6199 is divided by 271.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22675488 is divided by 509?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -r + 5, 2 + 4 = -2*r. Suppose 660 = 4*f - 0*f + z*x, -4*f - 3*x = -661. What are the prime factors of f?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3423058 rounded to three decimal places?\nAnswer: 0.342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 33758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9543170 rounded to the nearest ten thousand?\nAnswer: 9540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6553*p**3 + 7797*p**3 + 10946*p**3.\nAnswer: 25296*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7891 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 0*u**3 - 7*u + 0 + 0*u**2 + 5\/12*u**4. Let z(t) = 3*t**2 - 3*t**2 + t**2. What is -i(c) + 4*z(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -840, -2, -0.4, 111 in decreasing order.\nAnswer: 111, -0.4, -2, -840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 598 - 501. Is o > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 3 - 221 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, c: 4, z: 1, t: 1, w: 3}. What is prob of picking 1 z and 1 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (8\/14)\/((-59)\/(-413)) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s - 216 = 34*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*i - 168*i + 89*i - 69*i**5 wrt i?\nAnswer: -1380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -2, -10 in increasing order.\nAnswer: -10, -2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 150. Let o = 213 - v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25264 (base 8) to base 13.\nAnswer: 4c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 47*p + 572 = 6*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/302 and 53\/8.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (sqrt(85)*3 + sqrt(85) + sqrt(85) + sqrt(85)))*6 - -5*-1*sqrt(85))\/(sqrt(320)*1 + sqrt(60)\/(sqrt(12)*2)).\nAnswer: -70*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 81139 and 0.37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**3 + 15*p**2 + 43*p + 103. Is n(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527525 is divided by 403?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10000 (base 2) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(15)\/(sqrt(10)\/(sqrt(18) + sqrt(2))) + (sqrt(432) - sqrt(48)) + -3)**2 + -3.\nAnswer: -72*sqrt(3) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4 + 0 + 12*i - i**2 - 1. Let y be c(6). Let o = y - 24. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -40. What is the second smallest value in -0.8, p, -2\/5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 16*z**2 - 24*z.\nAnswer: -2*z*(z + 2)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovovvovooovvooovvov. Give prob of picking 3 o.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80083 + -45207. Suppose -5*c + p + 45 = 66, -3*c - 4*p - 8 = 0. Let r be c\/8 + f\/(-8). Round r to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54, 29, 8, -9?\n\"Answer: 2*c**2 - 31*c + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92 + -459\/5. What is the closest to 0.1 in 1\/3, a, -1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1042 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3)\/z*z)**(11\/7))**(-11\/2))**(2\/7) assuming z is positive.\nAnswer: z**(363\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 31 (c) 2 (d) -2 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 - (-4 + -1 + 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 + 9 = a, -3*d - 6 = a. Let m(t) = 4*t**2 + t - 2. List the prime factors of m(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*-4*(sqrt(171) - (sqrt(171) + (-1*sqrt(171) - sqrt(171)))))\/(-6*sqrt(9)*1 - (sqrt(180)\/sqrt(5))\/sqrt(4)).\nAnswer: -240*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = 2*y, -3*y + y - 34 = -5*i. Suppose 5*k - i*k = -6. Does 3 divide k*-10*3\/(-12) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.790736 and -4856.\nAnswer: -4855.209264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10593841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13573281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 31, 132, 325, 640, 1107, 1756?\nAnswer: 2617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1361*b**3 - 14*b**2 + 464*b**3 - 2*b + 0*b + 467*b**3 + 464*b**3.\nAnswer: 34*b**3 - 14*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1656 and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 12. Let n be f(5). Let c(i) be the second derivative of 1\/24*i**4 - 1\/4*i**n + 0 + 1\/2*i**2 + 3*i. What is t in c(t) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - w + 389, -563 = 4*a - 2*w + 999. Let i = -333 - a. Calculate the remainder when i is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5 = -5*r, 18 = 2*c + 15*r - 17*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/(-11) - (-10 - -4). Let m be (-28)\/35*(-5)\/2. Solve o = m*h + 2*h + 5*b + 1, 0 = -3*h - 4*b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/(s*s*s**1*s))**(-8\/15)\/((s*s*s*s**(-4)*s**(-6\/5)*s)\/(s\/(s*s*s*s\/(s*s**(1\/3))*s))**(-37)) assuming s is positive.\nAnswer: s**(494\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 3*c - 1. Let o be s(3). Let z = 1 + o. Solve 2*f + 24 = -4*x, 2*f + 8 = -z*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -545 (b) -0.3 (c) -2 (d) -38 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 21. Let n be z(-13). Let s be 2 - 2 - (-20)\/(-3 - -7). Suppose 9 = -4*c + 3*t, s*c - 2 = -5*t + 13. Solve c*p = p - n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1317*d + 19 = 2*f + 1314*d, 0 = 5*d + 25 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-11 + 4) - (4 + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10926 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -86, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -331 - -535. Suppose -94*n = -88*n - z. Calculate the remainder when 96 is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 3. Let q be k(6). Let a(h) be the first derivative of -h**4\/4 - h**3 + h**2\/2 + 2*h + 2. Determine a(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480682 is divided by 80112.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 2\/7 (b) -9 (c) 2 (d) 115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10\/(-6))\/((-7)\/(-35)) and -37\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21661 is divided by 361.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -151? (a) -5\/2 (b) 1669\/6 (c) -0.5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -326, 0.5, 732.63?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 7*o + 12*o + (0 + 3 - 1)*(-3 + 2*o + 3) + (-3 + 1 + 5)*(-2*o + 4*o + 0*o) + 6*o - o - 4*o)*(-7*o + 5*o + 7*o).\nAnswer: 125*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*b - 3\/4*b**2 + 1\/4*b**3.\nAnswer: b*(b - 2)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1207 and 7597.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 0.8, 3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36, -39, -42, -45, -48, -51?\n\"Answer: -3*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s**2 + 12*s + 191. Give u(7).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 6:58 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 7296?\nAnswer: 36480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 26*w**2 - 2637*w + 200. Determine j(-66).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -3\/20*r**4 + 0*r**2 + 0*r**3 - 1 + 0*r + 3\/25*r**5. Factor x(a).\nAnswer: 3*a**3*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 1, 18 in ascending order.\nAnswer: -4, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 92*q + 4743. Calculate j(-41).\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -22385523?\nAnswer: 22385523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166503430 to the power of 1\/2, to the nearest integer?\nAnswer: 12904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 = -0*c. Let z = 4 + c. What is the units digit of (-1)\/(-2)*(1 + z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28048147 by -1649891.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567 = -4*w - 2*k - 723, 4*k = -36. Which is bigger: -338 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 3*i + 4392 - 4356, 0*s + 2*i = 5*s + 24 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 1. Let b = -12 - -11. Calculate t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139*s**3 - 26*s**2 - 32730*s?\nAnswer: 834*s - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*d = -239*d + 3931784. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, g: 1, b: 4, w: 2, r: 1}. Give prob of picking 4 b.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - 2*y**2 - 2*y**2 + (0*y**2 - 2*y**2 - 2*y**2)*(-4 + 2 + 4).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = l - 12 + 8, 4*n - 16 = 4*l. Suppose -r = -4*g + 17, 5*g - 22 - 2 = n*r. Find the common denominator of (-14)\/(-8) - (g - 1) and 37\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 344430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021.676 rounded to 0 dps?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4439 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -9*y + 16*y. What is the second derivative of -46*d**5 - 12*d**y + 39*d - 50*d**5 wrt d?\nAnswer: -2160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8440174*h**2 - 164089596*h?\nAnswer: -16880348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 12*v + 47\/4.\nAnswer: (v + 1)*(v + 47)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**5\/5 + 3*w**4\/4 + 10*w**3\/3 - 13*w**2 - 33*w. Is y(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5363767g in tonnes?\nAnswer: 0.0000005363767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1042, 2083, 3124?\nAnswer: 4165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = -10*z + 12376. Does 34 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(4200\/(-230)) + (-8)\/(-14). What is the closest to -167 in 0.5, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -44, -63, -80, -95?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - -3*sqrt(130))\/sqrt(10) + sqrt(52)\/(sqrt(20)\/sqrt(5)) + sqrt(13) + 5)*-6.\nAnswer: -36*sqrt(13) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 498493*g + 1495484. What is x(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 645 + -280. Let q = -165 + g. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43731 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 2*h + 4*h)*(2*h + h - h) + (-4*h + 4*h + 9*h**2)*(2 - 3 - 1).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 + 2*o - 1. Let a(s) = 21*s**3 + 10*s - 6. Let f = 22 + 9. Suppose -49 = -3*h - 4*g, 0*h - f = -h - 5*g. Give h*u(t) - 2*a(t).\nAnswer: 2*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.48140329 rounded to two decimal places?\nAnswer: -5.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 16*j**2 + 31*j - 146. Give r(17).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14266 (base 16) to base 13.\nAnswer: 2b74a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1548 and 129.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1383676 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*b + 20. Suppose -3*w = b*l - 0 + 6, 4*w = 4*l - 8. Is -2 - (-3297)\/14 - (-1)\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p = 0. Suppose p = -0*t + 2*t - 512. What is the remainder when t is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/11))**(-50)\/(j\/((j*(j\/(j**(2\/13)*j))\/j*j)\/j)*j\/(j\/((j**(2\/35)*j)\/j*j*j))))**1 assuming j is positive.\nAnswer: j**(-61571\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 98 = 3*u, 51 = 4*u + 3*d + 201. Let k = -24 - u. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 bigger than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -296*k**5 - 88*k**3 + 635*k**5 - 140*k - 47*k**3 - 10*k**4 - 334*k**5 - 260*k**2.\nAnswer: 5*k*(k - 7)*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-270)\/12)\/9)\/(2\/(-4)). Let r = 9 - -86. Calculate the highest common factor of f and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -2)*3*2 + -3)**2.\nAnswer: -1080*sqrt(2) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-636)\/(-42) + (-1)\/7. Let u be (-6229)\/(-3) - 5\/t. Find the first derivative of -14 + 15*i**2 - u*i + 2076*i wrt i.\nAnswer: 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Suppose 9*a + 3 - 183 = 0. Suppose -14*m + 10*m = a. Put -9, m, l in increasing order.\nAnswer: -9, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - 2*c)*(c**2 + 1 - 1) + (-14 + 17*c**2 + 14)*(-2*c + 5*c - c).\nAnswer: 35*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510 and 17.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 800*u - 2. Let k(o) = -3188*o + 11. Calculate -9*c(g) - 2*k(g).\nAnswer: -824*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s**7*s)\/s)**(-31)*s\/(s**(-4\/13)\/s)*s*(s**15*s*s)\/s assuming s is positive.\nAnswer: s**(-3779\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/90628 and 89\/362512?\nAnswer: 362512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2199, -2747, -7683, -12609, -17525?\n\"Answer: 5*b**2 - 4961*b + 7155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -37, -41, -47?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, -0.94, -2, -850 in decreasing order.\nAnswer: 0.1, 0, -0.94, -2, -850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 10:34 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18220956467.519180787 - 18220956524. Let h = -0.519180417 + w. Let z = h - -57. What is z rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1, -0.1 in increasing order.\nAnswer: -5, -2, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 12:42 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h**2 + 2*h**4 + 16*h**2 - 2*h**3 + 3*h + 3*h**3 - 3 - 4*h**3 in the form z*h**3 + g + a*h + x*h**2 + k*h**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:55 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -38*z - 270. Let s be l(-9). Calculate the highest common divisor of 32 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 1:01 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -5*o**9\/252 - o**5\/20 + 8*o**2 + 15*o. Let z(u) be the first derivative of a(u). Find the third derivative of z(k) wrt k.\nAnswer: -1200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 33044.\nAnswer: 1982.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**2 - 5*q. Let t(a) = -a**2 - a. Give -2*p(n) + 14*t(n).\nAnswer: -2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -22*w**3 - w**2 - 3*w. Let a be x(-3). What is the common denominator of -43\/16 and 209\/a*42\/8?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 9*h**2 - 4. Let b be w(-9). What is the common denominator of -16 + -2*(-2)\/b and -45\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from nnanaan.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 1b91a?\nAnswer: -1b918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -126.084.\nAnswer: -130.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 + -62. Let j = q + -127. Let v = j + 69. Calculate the remainder when 40 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23840 divided by -4.\nAnswer: 5960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1790, -0.9, -169, -0.2 in increasing order.\nAnswer: -169, -0.9, -0.2, 1790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 7*y - 14. Let c be 2 + 3 - 2 - 7. Let k = y + c. Solve -k*s + 14 + 1 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.43 to the nearest integer.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*t + 8 = 0, -5*m + 0*m = 4*t + 46. Let s be 1\/(-3*(-5)\/m). Let p(g) = g**2 - g + 3. Let z be p(0). What is the nearest to 4 in z, 0.5, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211*f**4 + 4426*f**3 - 89*f**2 - 671978392*f wrt f?\nAnswer: -2532*f**2 + 26556*f - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 120*b - 2157. Calculate u(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-76 + 102 - 52)*(-1 - 2*f + 1) + f - 3*f + 0*f as b*f + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/5 of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*l + 5, 9*l = 3*g + 4*l - 5. Let t = 1.2 + -1. What is the third smallest value in t, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 184*l + 7190. Calculate x(-57).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 41 = -5*t, -5*z - 205577*t = -205576*t + 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 290\/(-2175)*45\/27\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/10 at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 l when four letters picked without replacement from lrlllllzsslllllzlslz.\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 6*h**2 + 6*h + 7. Let w be j(-5). Let f(m) = -3 + m + m**3 - 2 + 0 - m**w. Let c = -45 - -45. Determine f(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 5 - -14) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(2 - 15\/8). Let q be (-8)\/a - (-2)\/(-4). Let f(w) = w**2 - 2*w + 3. Let x(y) = -y**2 + 3*y - 2. Let b(z) = -4*f(z) - 3*x(z). Calculate b(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29940014.\nAnswer: 2, 13, 191, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40625355 by 237.\nAnswer: -171415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213511 + -213477.1138. Let j = a - -0.0238. Let l = 0.09 + j. Which is smaller: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 4 - 32 = 0. Solve 21 = 5*w - i, w + m*i + 1 = 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15*b**3 + 2*b**2 - 1. Let g be u(1). Let s = g + -11. Suppose 5*p + s = 30, -5*m + 225 = -3*p. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1789650*w**3 - 4*w**2 - w + 3. Let s be v(-2). Let f be s - (1 - 4) - 4. Suppose f = -6*r - 6682812. What is r rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -210\/293 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15*(8\/(-6) - -1) + -61. Let i be 10\/12*2 + 44\/h. Let j be (-1)\/2 + (-9)\/(-10). Which is the nearest to i? (a) -1 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3130 is divided by 3121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a + 84. Suppose -7*c = -5*c - 2*w + 24, -2*w - 60 = 4*c. Let m be v(c). What is the greatest common divisor of 77 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.663 - -0.263. Suppose -q - q + 5*t - 32 = 0, 4*q - 3*t = -36. Let f be 0 + (9\/q)\/(-3). Which is the nearest to -1? (a) f (b) 4\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-172)\/(-10) - 2\/30*3. Suppose 3*b - 16 = -2*h - 5, -5*b - 5*h = -20. Suppose 83 = b*r + 32. What is the greatest common factor of a and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7418, -2\/9, -2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -24420211?\nAnswer: 4\/24420211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t - 28. Give s(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35644 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpxp. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/457?\nAnswer: 2\/457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25243122 to the power of 1\/2, to the nearest integer?\nAnswer: 5024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -87693548 * 4\nAnswer: -350774192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 + 228*w - 838. Calculate g(-49).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/82 and (-18)\/(-2)*184\/384.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 13. What is the highest common factor of 60 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**3\/3 - 60*h. Let a(z) = 2*z + 5. Determine a(r(j)).\nAnswer: -4*j + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 8*p + 11. Let h be g(8). Suppose h*u - 6*u = 90. Suppose 4*z = z + u. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x**2 - x - 2. Give t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182, -3, 145 in ascending order.\nAnswer: -3, 145, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/76 and -23\/92188.\nAnswer: 92188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*q = j + 87*q - 7, -2*j - 2*q - 2 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4295661 to the power of 1\/2, to the nearest integer?\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 5*n + 4. Let y be w(-3). Suppose -12 = 3*p - 0. Let i be 9\/p + (-2)\/(-8). Is i smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3 = -5. Let r be 74 + (0 - -2) + (-8)\/c. Suppose -s - 16 + 34 = 0. What is the greatest common factor of r and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 4. Let q be g*4\/(4\/(-3)). Let y be 4 - q\/(-6)*4. Solve y*j + 10 + 5 = 5*i, 3*j + 6 = 2*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 4*p. Let x be l(-3). Suppose 23*w - 4*d = 22*w + 5, w - 2*d - 3 = 0. Sort x, -3, w in descending order.\nAnswer: x, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -z - t + 3*t, 0 = 2*z + 168*t + 164*t - 319*t + 87 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 10, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 5463*a**2 - 27378*a + 21912.\nAnswer: 3*(a - 4)*(a - 1)*(a + 1826)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19) - sqrt(304)) + sqrt(133)\/(sqrt(7) + sqrt(252)).\nAnswer: -62*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-3 - -7 - 1). Let b be u*2*(-2254)\/56. Suppose 2*k = k + b. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 106*z**2 - z - 1. Let r(v) = 17*v**2 - v - 1. Let c(o) = -h(o) + 6*r(o). Let l(k) = -5*k**2 - 6*k - 5. Give 4*c(j) - 3*l(j).\nAnswer: -j**2 - 2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1892, 2092, 2396, 2804?\n\"Answer: 52*t**2 + 44*t + 1796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u. Solve -4*a + 3 + u = -p, a + 2*p - 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7815*y**3 + 2*y**2 - y + 1. Is x(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:30 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -780 - -785. What is the greatest common divisor of 115 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 963 and 962 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4203 (base 5) to base 13.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011056445 to 5 decimal places.\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264 + 574. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133825 (base 9) to base 5\nAnswer: -10102330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.56845\nAnswer: -0.56845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5532 and 2889087?\nAnswer: 11556348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o - 16*o**2 + 2 - 11*o - 3*o**2 - 15*o**2 in the form l*o + r + v*o**2 and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 7. Let u = -8.18 + b. Let n = 0.12 - u. What is the closest to 1 in -0.2, 1\/6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 6*x + 1\/4*x**4 + 5\/3*x**3 + 2*x**2 - 6. Calculate n(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 7*r**2 - 8*r + 9. Let i be a(6). Let g be (-4 - -49)*(-2)\/i. Let h = g - 28. Solve 2*k = w - 7 - 5, 0 = h*k + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21618, -86066, -193480, -343860, -537206, -773518, -1052796?\n\"Answer: -21483*a**2 + a - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6270752 to the nearest integer?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 12, 3, -375, -5, 2.\nAnswer: -375, -5, 2, 3, 12, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 8:26 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 52. Let i be v\/8 - 2\/8. Let n = i + 6. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 (base 14) in base 9?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1557716, 3115505, 4673298, 6231095?\nAnswer: 7788896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 2625.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**4 + 3\/2*k**3 + 0 - 9\/2*k**5 + 0*k - 3*k**2.\nAnswer: -3*k**2*(k - 1)**2*(3*k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - 0 - (-8 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v + 8 + 4 - 11. Let g(m) = -5*m - 1. What is 5*g(a) + 3*i(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 29*g**2 + 31*g - 17. Determine u(30).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1854*b + 499. Is o(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283445079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56748384, 56748382, 56748378, 56748372?\nAnswer: 56748364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -9. Suppose 4*b + 236 = 4*a + 40, z = -4*b. Suppose 5*k - 35 = 45. Calculate the remainder when a is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/(-665))\/(-2)*(-147)\/(-6)*5\/(-6)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 316 = l - 4*l, 5*n - 314 = 2*l. Let t = -44 + n. List the prime factors of (-2 + t\/(-5))*(-5)\/1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/8*u**2 + 15\/4 - 21\/8*u = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9747366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6*v = -234. Let a be (0 + (-2)\/6)*v. Suppose 2*o - a = o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 102. What is the remainder when 337 is divided by r?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21011*m**2 - 424418?\nAnswer: 42022*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 8:18 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2. Let s(h) = -101 - 7*h**2 + 101 + 0*h**2. Calculate s(w(f)).\nAnswer: -343*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v - 1068 = -240 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n)**4*n**(-3\/4)*n**(-4\/7)\/n*n assuming n is positive.\nAnswer: n**(-149\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5699?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*b**2 + 1080*b - 7887149 wrt b.\nAnswer: -30*b + 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 188\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -1*2*sqrt(88))\/(sqrt(56)\/sqrt(7)*6 - sqrt(8)) - (-3 + ((sqrt(99) + -1 - sqrt(99)) + -1 + ((0 + sqrt(99))*3 - sqrt(99)))**2).\nAnswer: -397 + 119*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 5) to base 12\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:05 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 3*f**2 - 2*f. Let u be 22\/(-8)*(6 + -2). Let o(s) = s**2 - 8*s - 1. Let t be o(7). Let g = u - t. What is r(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26271050 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90 - 21411.\nAnswer: -21501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*b**2*k - 8532*b**2*u - 36*b*k*u + 49*k*u - 7*u - 1 wrt b?\nAnswer: 186*k - 17064*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2*a - 21, 3*g - 906 + 931 = -5*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 12\/25 of a millennium?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19720 or -11\/15?\nAnswer: -11\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*(-11)\/((-528)\/(-360))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 10*g**3 - 5*g**2 - 5*g + 13. Let k(x) = -x - 1 - 4 - x**3 + 2*x**3 - x**2 + 6. Let c(w) = -h(w) + 5*k(w). What is the derivative of c(b) wrt b?\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxuxxxxxxuxuxx?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/3 - 1940*k**3\/3 + 546290*k**2\/3 + 1940*k\/3 - 182096 = 0.\nAnswer: -1198, -1, 1, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 0\/(-1)) + 0. Let u be (-7)\/(-24 - -10)*32. Suppose 3*s + h = -2*h + 12, -5*s - 4*h + u = 0. Solve s = -3*t - g*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 20, 7 + 29 = 2*q - 2*f. Let x = -9 + q. Let h(a) be the second derivative of a**5\/20 - a**4\/2 + a**3 + a**2 + 31*a. Give h(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940279 times 50?\nAnswer: 47013950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + h - 32, -4*h + 38 = 2*z. Let t be ((-100)\/(-3240))\/(15\/z). Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*r + 9*r + 172 = 0, 12 = -3*r. Solve m = 3*q + 66 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {x: 2, m: 2, q: 5, c: 3}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*r + 16, r = 4*m + 3*r + 8. Let x be 2 - ((-2)\/1 - 31). Suppose x = 5*n + 2*p + 2, -p - 6 = -2*n. Sort n, 3, m in descending order.\nAnswer: n, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 8*w = 0. Suppose w = t + 3 - 9. Suppose -3*x = -0*x - t. Solve 21 = -4*m - 5*g, -3*g - 27 = -x*m + 2*g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 + -1. Which is smaller: h or 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 5:22 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031756 times -16?\nAnswer: -0.508096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19\/570*-35 + 2\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5\/5 + 8*t**4 - 42*t**3 - 520*t**2 + 3616*t - 29568\/5 = 0.\nAnswer: -21, -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 0.2614.\nAnswer: -1.8298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 3 - (0 - 0). Let j(b) = 12*b**2 - 3*b - 8. Let p(t) = 6*t**2 - t - 4. Let w(k) = -6*j(k) + 13*p(k). Is 24 a factor of w(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s + 5 - 5)*(s + s - 3*s) - 3*s**2 + 0*s**2 + 2*s**2 - 5 - 2*s**2 + 5 + 1 - 2*s**2 - 1)*(-2 + 2 + 6*s + (-4 - 1 + 3)*(s + 0 + 0) + 0*s + 0*s - 2*s).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 14*u**2 + 1154*u + 489. What is w(-82)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5093 and 2567554?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvv when three letters picked without replacement from {v: 4, h: 2, b: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 + -66. Let l(q) be the third derivative of -q**5\/12 - q**4\/8 + q**3\/3 + 14*q**2. Let t(m) = 11*m**2 + 7*m - 5. What is u*l(h) + 2*t(h)?\nAnswer: -3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 243877 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.9907 - 0.0093. Which is the biggest value? (a) 0.5 (b) -1 (c) -2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3120 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, c: 3, u: 4}. Give prob of sequence cwcw.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from mngmmmndmmdngmmn.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 980252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/12*(4\/(-5) - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Let v = g - -30. Let n = 13143 - 13009. What is the remainder when n is divided by v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.806 - -0.076. Let f = -0.03 - l. Let v = 3.70107 - f. What is v rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-4 - (4 - 3))) + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - 2.1. What is the second smallest value in 6, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 1:36 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 60, 82, 92, 84, 52, -10?\n\"Answer: -q**3 + 29*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -600, 3642, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(15\/3978) - 8. Let o = -1332 - d. Factor 1\/3*p**o - 5\/3*p + 4\/3.\nAnswer: (p - 4)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180 - -57. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 2*t**2 - t**2)*(-3*t - t + 7*t) + (2*t**3 + 2*t**3 - 6*t**3)*(3 - 3 + 1).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + 15\/12. Let f be (0 - 3)*(3\/3 + 0). Put 0, f, j in increasing order.\nAnswer: f, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-2)\/(-28)*-2). Let f = a - 6. Solve f = -4*i + 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 15. Let t be n(10). Solve 10*b = t*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - g - 1. Let t = 63 - 58. Let f(q) = 6*q**2 + 5*q + 5. What is t*n(r) + f(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*n - 905*n - 11*n + 136*n - 720*n + 250*n.\nAnswer: -1435*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 515?\nAnswer: 515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63338 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 12. Suppose 3*i = o + 38. Suppose 19*g - 290 = i*g. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c + 1187. Let n be m(61). Calculate the greatest common factor of 581 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Is 134*(1 - r\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29690 and -0.11?\nAnswer: 3265.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*k - 4 = 0, -c + 3*k + 3 = 4*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 605a + -2?\nAnswer: 6058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42601, 42618, 42635?\n\"Answer: 17*o + 42584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.0646 + -0.0646. What is the nearest to 1\/3 in -3, -2, -7, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.511 - -9.511. Put 3, 2, -0.3, q, -12 in ascending order.\nAnswer: -12, -0.3, 2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.643 + -4.873. Let x = 46 + -16. Let c = u - x. What is c rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1576 + 790 + 783 - 95*y)*(-2*y**2 + 2*y**2 + 2*y**3) in the form r*y**3 + x*y**4 + i + q*y**2 + w*y and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r**2 - 36*r + 211. Does 10 divide h(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*h**4 + 17242*h**2 - 2*h - 2418580 wrt h.\nAnswer: -44*h**3 + 34484*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cybcccyyvfebc. What is prob of sequence vef?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.1 + 3. Let v = 200.4 + -30.4. Let z = 175 - v. What is the third biggest value in s, 2\/5, -0.3, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -964823, -964828, -964835, -964844, -964855?\n\"Answer: -k**2 - 2*k - 964820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1073, 765, 2605, 4447, 6291?\n\"Answer: h**2 + 1835*h - 2909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302132100 - 20?\nAnswer: -302132120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.5 - 45.771. Let u = g - -0.235. Which is the nearest to u? (a) -0.2 (b) -0.5 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*q + 24854, 2*q - 471854 = -36*b - 2*b. Which is smaller: 12416 or b?\nAnswer: 12416","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 3*d - 27*d = 5*r + 136, 2*r + 3*r + 115 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from orrcoooirc.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y - 12*y = 0. Let i(v) = v**2 - v + 11. What is i(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1798 and 464?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 232 + -227. Solve a*q + 10 = -3*g, -4*g + 0*g + 2*q = -30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2754 - 1886 + 2849 + 1040)*(3*a + 2*a - 6*a)*(-6*a**2 + 4*a**2 - a**2) to the form h*a**3 + s + q*a**2 + b*a and give h.\nAnswer: 14271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*n - 6877*n**2 - 322*n - 323*n - 319*n + 1280*n.\nAnswer: -6877*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n. Suppose -3*t - 5*i + i + 82 = n, 2*i + 180 = 5*t. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 11:57 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5630, 4, -3, -38, -1 in decreasing order.\nAnswer: 4, -1, -3, -38, -5630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, 1\/46, -11194.3?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.032 + 0.988. Let x = f + -0.02. Let r = -1.00003 + x. Round r to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166 and 865127094?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10435243 - 31?\nAnswer: -10435314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5744736)\/(-147150) - (2\/(-2))\/(-25)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**6\/d)**(-45) assuming d is positive.\nAnswer: d**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m = -h + 36 + 31, -4*m + 4*h = -h - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 33 + 18 + 32)*(j**3 + j - j) - 7 - j**4 + 7.\nAnswer: -5*j**4 + 17*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287603 is divided by 326.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/4 - 14*q + 2. What is the first derivative of b(u) wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-462))\/(3\/322). Let v = y - 16\/11. Sort v, 0, -0.1 in increasing order.\nAnswer: -0.1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 5*c + 2. Let z be f(-5). Let g be 6\/2 - (-2)\/(-1). Let a be ((-638)\/44)\/29*(-6)\/3. Solve z*x + a + g = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 20 = 4*f + 132, 4*s = -4*f + 448. Suppose 0 = 5*t - 20, -3*i - s = i + t. Let d = -18 - i. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2011 (base 3) to base 6\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 1 + 1 - (sqrt(700) + sqrt(700)*2 + 1))*-3 + (1 + sqrt(700) + 2 - ((2*(sqrt(700) - (sqrt(700) + 1)) - sqrt(700)) + sqrt(700))))**2.\nAnswer: 280*sqrt(7) + 34304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 - 96*c**2 + 28*c**2 + 56 as b + d*c**2 + o*c and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 165\/4. Let l = -8 - -7. Let i = 0.9 + 0.1. What is the nearest to i in 3\/8, l, w?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2082, 4405, 6724, 9039?\n\"Answer: -2*p**2 + 2329*p - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 278 times -3957\nAnswer: -1100046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -17*t + 19*t + 2675, 5*f - 13415 = 2*t. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6558 (b) 3\/2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85.8 - 71. Let q = -125.7 + 116. Let j = q + f. What is j rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-3*-4 + -1 + sqrt(68) + -5 - -6*((sqrt(17) + sqrt(17) + sqrt(17)*-4)*-3 + -3*sqrt(1088)))**2.\nAnswer: 984*sqrt(17) + 114344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*p - 121961 = -332*p - 163*p - 368*p for p.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 345490299, 690980600, 1036470899, 1381961196, 1727451491, 2072941784?\n\"Answer: -a**2 + 345490304*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d + 113115 - 2*d**2 + 113070 - 226185.\nAnswer: -2*d**2 - 41*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -123213 (base 5) to base 11\nAnswer: -3681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(5*2\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -20*l**2 - l. Let t be q(-2). Let v = t - -232\/3. Which is the second biggest value? (a) v (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 6:29 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 f when three letters picked without replacement from {t: 2, d: 1, f: 2, u: 4, o: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/507238 and -45\/7988.\nAnswer: 1014476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 + -1648615?\nAnswer: -1648648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -488549 - 3?\nAnswer: -488552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 11040.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -12, 1, 14?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 840372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -32593, -130401, -293415, -521635, -815061?\n\"Answer: -32603*m**2 + m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/9 (b) -1 (c) -0.4 (d) 0.054\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 (base 16) in base 12?\nAnswer: 39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + 2*sqrt(228)*-2)\/((sqrt(384) - sqrt(24))\/sqrt(2)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h - 10. Let g(q) be the third derivative of -q**4\/12 - q**3\/2 + 5*q**2. Let o(f) = 7*g(f) - 2*x(f). Give o(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1326)\/119)\/26 - (-66)\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 13*q = 19 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115101 or -115112?\nAnswer: -115101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15946 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(a) = 3*a**3 + 333*a**2 + 968*a - 302. Calculate d(-108).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138302220?\nAnswer: 2, 3, 5, 7, 23, 103, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117409578*x**4 - 48363*x - 146 wrt x?\nAnswer: -1408914936*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 20*y**3 + 3*y**2 + 3*y - 6. Let w(z) = -20*z**3 - 3*z**2 - 3*z + 5. Calculate -3*h(v) - 4*w(v).\nAnswer: 20*v**3 + 3*v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 11:40 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61506 divided by -54.\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.6 (b) 3 (c) -2\/7 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c - 400 = -16*c. Let b = c + 222. What is the greatest common factor of b and 165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 0.2, -100, -0.5, -71, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a millimeter in micrometers?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41, -18, 27, 100, 207, 354?\n\"Answer: u**3 + 5*u**2 + u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -0.2059.\nAnswer: 0.008236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -51 - (2 + 0 + 7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(396))**2*5.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k - 1. Let g(q) = q + 1. Let o be (-1)\/4 - (-76)\/(-16). Let y(p) = o*g(p) - w(p). Let z = 133 + -129. What is y(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1656552.681 microseconds to weeks.\nAnswer: 0.0000027390090625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 + -194. Suppose 82800010 = -7*o + 3*o - 2*j, z*j + 20 = 0. What is o rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 - 5?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/32*10)\/(8\/(-32))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 4*s**2 - 3. Let d(x) = -x**2 + 5. Let q be d(0). Suppose -13 + 6 = 2*a + r, a + 9 = q*r. What is h(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 5, o: 5, z: 5, x: 3}. Give prob of sequence zo.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96434 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 9 - 67\/30*s**6 + 1\/6*s**3 + 0*s**4 - 31*s**2 - s + 0*s**5. Differentiate d(f) with respect to f.\nAnswer: -268*f**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) 4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -67. Let q = -56 - p. Solve 0*a + q = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4319008 and 62144.\nAnswer: 8638016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 + 680. Let z = -810.95 + u. Is z greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*n - 1)*(2 - 6 + 2)*(-7*n - 11*n + 13*n) as p + t*n**2 + m*n and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:35 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**4\/24 + 5*a**3\/6 + 2*a**2. Let j be b(-3). What are the prime factors of 1 + 1\/j*14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4919158?\nAnswer: 2, 2459579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-3))\/((-16)\/6))\/(24563\/(-484) + 50).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r - 1. Let a(d) = -53*d - 7. Let z(f) = -a(f) + 6*t(f). What is z(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 - 27*u + 2. What is the units digit of o(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 0 - 5 + 1 + 6 + 44*x**2. Let z be (5\/5)\/(2\/(-2)). Is k(z) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((7\/35)\/(592\/5)). What is the first derivative of -42 - r*x + 14*x**4 + 592*x wrt x?\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 + 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5304353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 762535\/7 + -109154. Let s = -553 + 332. Let i = s - p. Which is the smallest value? (a) 0.1 (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.15 from -6813122.\nAnswer: -6813121.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 9:21 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3924277.\nAnswer: 7, 89, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/((sqrt(22) - -2*sqrt(22))\/sqrt(2))*-2.\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268 - -267.8. Let d = 5.7 + -6. What is the second smallest value in -2\/15, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255286 - -255239.9938. Let r = x - -46. Round r to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/165, -14, -5.\nAnswer: -14, -5, 1\/165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**5\/110 + 3*a**4\/22 + 8*a**3\/11 + 16*a**2\/11 + a. What is l in d(l) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4297 = -6*h + 16513. Let i = h + -18344\/9. What is the common denominator of 64\/69 and i?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 14652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506 = -51*a - 3*a + 8*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 m, and 1 e when four letters picked without replacement from mmmmfmemxwb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7365 + -5?\nAnswer: 7360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 40*g**3 - 28*g**3 - 62*g**3.\nAnswer: -130*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5200?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*n - 4740 = 98*n. What is the remainder when n is divided by 165?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - 1 - (1 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 576 + 364. What is the remainder when w is divided by 47?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 + 609. Let b = x + -60. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -6)*2\/3. Let f be t\/3*3*(-17)\/(-306). Which is the closest to 0? (a) f (b) 1 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490\/8*((-16)\/(-42))\/((-7170)\/(-15057))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 810.518262 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 2. Let m be o(0). Let f = 0.1 + 2.9. Sort f, -1, m in increasing order.\nAnswer: -1, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-192)\/(-28) - 4\/(-28). Let n(f) = 8*f + 1 - 2 + d + f**2 - 4. What is n(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 2. Suppose 4*n + 24 = -d*v, 2 = 3*n + 17. Let y be 1\/2 - 65\/30. Which is the nearest to v? (a) y (b) -2\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**2 + 1240*n - 126073. Let t(l) = 39*l**2 - 4965*l + 504291. Let z(y) = 9*g(y) + 2*t(y). Suppose z(v) = 0. What is v?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4 or -30.265?\nAnswer: -30.265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*j**4 + 783*j - 783*j + 22 wrt j?\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*x = 152*x + 2854368. Is 53 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 5 - 0\/3. Let g(h) = -h + 1. Let y(i) = -i + 4. What is t*g(u) - y(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13649*d**3*n**2 - 124*d**3*n + 13*d**2*n**2 + 386243*d**2*n + 7*n**2 wrt n?\nAnswer: -27298*d**3 + 26*d**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -30. Let v = -11 + 17. Let u(j) = 2*j - 13. Let r be u(v). Is r at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(171)*1 - sqrt(171)) + (sqrt(171) - sqrt(171)*1*4))\/((sqrt(135)\/(sqrt(5)*2))\/(sqrt(432)\/sqrt(9))).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1204\/3 - -401. Which is the second smallest value? (a) -0.5 (b) -3\/4 (c) -2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*-8.1696\nAnswer: 65.3568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 16219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1190 and 9180?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 347*v. Let p(t) = -t + 39. Calculate p(b(l)).\nAnswer: -347*l + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 14) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/315 and -97\/11466.\nAnswer: 57330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 10 + 11 - -13\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, p: 4, e: 2, m: 2, v: 1}. Give prob of sequence pmv.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*n - 10. Let h(o) = -15 - 6 - 88*o - 8. Is h(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 16*b - 28. Calculate x(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3800*j**2 - 1 - 3814*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 68\/(-8) - (-3)\/(-6). Let m be p*3*(-4)\/36. Suppose 3*f - 2 = 4*f + 3*q, -4*f - m*q = -37. What is the greatest common factor of f and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7*p - 15 = 0. Let h be (-1)\/3 + 13\/p. Find the third derivative of -9*b**2 + 23*b**h - 255*b + 255*b wrt b.\nAnswer: 552*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3150)\/(-112) - 28)*-56.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + y + 10 = 0, -p - 14 = 75*y - 72*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 - w. Let x be o(-1). Suppose -5*l + 13 = x*d, -5*d - l + 5 = -6. Suppose 0 = 2*k - 4. Solve 14 = -v - 3*g, -8 = v + k*g + d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/77, -1\/8, -0.8, -4, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 6986?\nAnswer: 20958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3 + 17457*r**2 + 34935*r - 52389 = 0. Calculate r.\nAnswer: -3, 1, 5821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -7*d**4\/4 + d**3\/3 - d**2\/2 + d - 4. Let y be 2\/7 + 104\/28. Suppose -2*v = o - 7, y*o = -v + 2*v + 1. Determine r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 9*f**2 - f - 6. Let d be i(-9). Differentiate 33 - 8 - l**3 - 5*l**3 - 3*l**d with respect to l.\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*u + 24*i - 20*i - 188 - 242 = 0, 0 = -2*u - 4*i + 4 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 323168*o**3 + 3*o - 2793.\nAnswer: 1939008*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = -z. Suppose d + 7 = -z. Let c = -8 - d. Solve 0*m + c*m = -9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449\/29388*(-6)\/(-28)?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -186*h**3*j**2 - h**3*j + h**3*y**2 + h**2*j*y + 3*h**2*j + 17*j**2*y**2 + 149*y**3 + 19 wrt y?\nAnswer: 2*h**3 + 34*j**2 + 894*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/8 - 7*s**3\/3 - 28*s**2. Let t(v) = -v + 5. Let l = 173 - 169. Calculate l*k(c) + 11*t(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4247558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/2)\/((-3)\/6). Let c(n) = 14*n**2 - 5*n - 11. Let i(j) = 3*j**2 - j - 2. Let q = -533011 - -533013. What is k*i(o) + q*c(o)?\nAnswer: -5*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b = -4. Suppose 3*y = -b*j + 40, 7*y - 84 = -4*j + 3*y. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*z + 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r*s**2 - 59*r*s + 113655*r + 71*s**2 with respect to s.\nAnswer: 4*r*s - 59*r + 142*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (3*-1 - -1). Suppose 0*r + 20 = z*r. Suppose -r*x + 184 = 4*d, 0*d - 1 = -d. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x + 1. Suppose -5*p = -52 + 27. Let j(g) = -7*g - 1. Determine p*z(c) + 4*j(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -354.3912402 rounded to zero dps?\nAnswer: -354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.495857 rounded to 2 decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.14. Let q = 362 + -365.58. Let t = 0.42 - q. What is the second smallest value in -1\/4, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 50369, 100724, 151079?\n\"Answer: 50355*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 + 968644*o\/3 + 1937280.\nAnswer: 2*(o + 6)*(o + 1452960)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2 - 12*b + 11. Let v(z) be the first derivative of z**3 + 6*z**2 - 11*z - 16. Let g(h) = 2*c(h) + 3*v(h). List the prime factors of g(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 24 = -4*a, 2*a - 2*z + 90 = 78 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 7 + 4)*(3 + l**3 - 3) + (201*l - 63*l - 13*l)*(-l - l**2 + l).\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 34*j**4 - j**2 - 35*j**4 + 6*j**3 to q*j + k*j**3 + m*j**4 + i + t*j**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 2*f - 24. Let z(t) = 4775*t**2 + 2641*t + 72. Let w(j) = -3*o(j) - z(j). Find the second derivative of w(h) wrt h.\nAnswer: -9544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(0 + 0 - 1)*(0 - 1 + 5)*(-s - 3 + 3).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/24 and 306\/85*15\/2488?\nAnswer: 7464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, 0.3 in decreasing order.\nAnswer: 0.3, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 - -230.\nAnswer: 230.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(3*y + 6*y + 3*y)*(-y**2 + y**2 - 2*y**2) + 5*y**3 + 0*y**3 - 2*y**3 + (5*y**2 + y**2 - 4*y**2)*(3 - y - 3).\nAnswer: -47*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 4232*s + 2238728.\nAnswer: 2*(s - 1058)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1101000000010?\nAnswer: 1101000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 874488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4859 smaller than 4858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c + 2404 + 676 = -121*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2255 divided by -55\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(14)\/(sqrt(18)*-1).\nAnswer: -sqrt(7)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 310.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0)*6\/6. Put m, -12, -4, 1 in increasing order.\nAnswer: -12, -4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.225 - 0.224999638. What is v rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14873\/18 + -826. Let u = -8538311827\/21531 - -396559. Let c = u + -466513\/86124. Find the common denominator of g and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:54 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550 (base 10) to base 7.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1414 + 402?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14974008349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4953791, -4953784, -4953775, -4953764, -4953751, -4953736?\n\"Answer: d**2 + 4*d - 4953796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.6 - -10. Let n = -2.07 - -0.37. Let o = f + n. Which is the second biggest value? (a) 2 (b) o (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -27*t + 10. Suppose -3*y + 5*f + 0*f + 108580 = t, 0 = 4*y + 4*f - 144816. What is y rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-86 + -1 + (-12 + 75 - 76)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h - 757. What is y(-12)?\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -651 - -675. Let k(v) = 2*v**2 - 30*v + 208. Is 8 a factor of k(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 151\/418 + ((-4488)\/836)\/17?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**3 - 44*r**2 + 249*r - 3. Let d(y) = 3*y**3 - 29*y**2 + 166*y - 2. Give 5*c(q) - 8*d(q).\nAnswer: q**3 + 12*q**2 - 83*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(22)*-2)\/((sqrt(396)*1 + sqrt(396))*4).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.06 + -5. Let w = n - 0.1. What is the second biggest value in -0.5, w, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 22*j. Let h(g) = 7*g**2. What is d(h(m))?\nAnswer: 154*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11999.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((39\/(-65))\/(((-3)\/(-4))\/((-23)\/46)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 27*t**2 - 33*t - 559. What is d(-23)?\nAnswer: 2316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111 - 100100100010?\nAnswer: -100011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n + s = 7, -8 = 3*n + 4*s. Solve -14 = -n*y - 34 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-3)*6\/30\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -94. Is d less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*y + 777*y + 8096 = -6347 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let k(s) be the second derivative of -7*s**4\/12 - s**3\/6 - 29*s**2\/2 - s + 4377. Determine k(r(t)).\nAnswer: -7*t**2 + t - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1590 - 1590 + 26348*k**2.\nAnswer: 26348*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -246 (b) -1\/2 (c) 8\/23 (d) 2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 + 6 - 6)*(26 + 9 + 6) to m + r*s + c*s**2 and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14.9 (b) 0.044 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396 and 216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 177 = 5*l - 203, 5*t + 2*l = 475. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 31, -5, 0 in increasing order.\nAnswer: -5, -2, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/97962 and -91\/24.\nAnswer: 391848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*v + 5*v = -25*v + 2457. Calculate the greatest common divisor of v and 45643.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -221 - -221.422. Let u = l - -0.0737. Let t = -0.49 + u. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0557 + 0.3443. What is the nearest to 2\/3 in r, 5\/2, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - -6 - -5 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 1, p: 2, z: 5}. What is prob of picking 1 b and 2 z?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 1 + 18 + (20 - 67) + 23?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179 - 175. Suppose -x*t + 53 = 3*b, -5*b - 6*t + 85 = -t. What is the highest common factor of 30 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}